TSTP Solution File: SWW264+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWW264+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n005.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 : Fri Sep 1 00:13:23 EDT 2023
% Result : Theorem 53.99s 54.03s
% Output : CNFRefutation 54.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW264+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 21:29:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 53.87/53.96 %-------------------------------------------
% 53.87/53.96 % File :CSE---1.6
% 53.87/53.96 % Problem :theBenchmark
% 53.87/53.96 % Transform :cnf
% 53.87/53.96 % Format :tptp:raw
% 53.87/53.96 % Command :java -jar mcs_scs.jar %d %s
% 53.87/53.96
% 53.87/53.96 % Result :Theorem 52.740000s
% 53.87/53.96 % Output :CNFRefutation 52.740000s
% 53.87/53.96 %-------------------------------------------
% 53.87/53.96 %------------------------------------------------------------------------------
% 53.87/53.96 % File : SWW264+1 : TPTP v8.1.2. Released v5.2.0.
% 53.87/53.96 % Domain : Software Verification
% 53.87/53.96 % Problem : Fundamental Theorem of Algebra 438525, 1000 axioms selected
% 53.87/53.96 % Version : Especial.
% 53.87/53.96 % English :
% 53.87/53.96
% 53.87/53.96 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 53.87/53.96 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 53.87/53.96 % Source : [Bla11]
% 53.87/53.96 % Names : fta_438525.1000.p [Bla11]
% 53.87/53.96
% 53.87/53.96 % Status : Theorem
% 53.87/53.96 % Rating : 0.92 v8.1.0, 0.94 v7.5.0, 0.97 v7.1.0, 0.96 v7.0.0, 0.93 v6.4.0, 0.92 v6.1.0, 0.97 v6.0.0, 0.96 v5.2.0
% 53.87/53.96 % Syntax : Number of formulae : 1288 ( 389 unt; 0 def)
% 53.87/53.96 % Number of atoms : 2964 ( 764 equ)
% 53.87/53.96 % Maximal formula atoms : 8 ( 2 avg)
% 53.87/53.96 % Number of connectives : 1839 ( 163 ~; 53 |; 97 &)
% 53.87/53.96 % ( 226 <=>;1300 =>; 0 <=; 0 <~>)
% 53.87/53.96 % Maximal formula depth : 13 ( 4 avg)
% 53.87/53.96 % Maximal term depth : 12 ( 2 avg)
% 53.87/53.96 % Number of predicates : 83 ( 82 usr; 0 prp; 1-3 aty)
% 53.87/53.96 % Number of functors : 45 ( 45 usr; 16 con; 0-3 aty)
% 53.87/53.96 % Number of variables : 2686 (2662 !; 24 ?)
% 53.87/53.96 % SPC : FOF_THM_RFO_SEQ
% 53.87/53.96
% 53.87/53.96 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 53.87/53.96 % 2011-03-01 12:00:17
% 53.87/53.96 %------------------------------------------------------------------------------
% 53.87/53.96 %----Relevant facts (998)
% 53.87/53.96 fof(fact_ext,axiom,
% 53.87/53.96 ! [V_g_2,V_f_2] :
% 53.87/53.96 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 53.87/53.96 => V_f_2 = V_g_2 ) ).
% 53.87/53.96
% 53.87/53.96 fof(fact_w0,axiom,
% 53.87/53.96 v_w____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ).
% 53.87/53.96
% 53.87/53.96 fof(fact_assms,axiom,
% 53.87/53.96 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p)) ).
% 53.87/53.96
% 53.87/53.96 fof(fact__096cmod_A_Ipoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_A_060_061_Am_096,axiom,
% 53.87/53.96 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),v_m____) ).
% 53.87/53.96
% 53.87/53.96 fof(fact_m_I2_J,axiom,
% 53.87/53.96 ! [B_z] :
% 53.87/53.97 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))
% 53.87/53.97 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),B_z)),v_m____) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_kas_I2_J,axiom,
% 53.87/53.97 v_k____ != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 53.87/53.97
% 53.87/53.97 fof(fact__096cmod_A_I_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_A_061t_A_094_Ak_A_K_A_It_A_K_A_Icmod_Aw_A_094_A_Ik_A_L_A1_J_A_K_Acmod_A_Ipoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_J_J_096,axiom,
% 53.87/53.97 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))))) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_tw,axiom,
% 53.87/53.97 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_complex__of__real__power,axiom,
% 53.87/53.97 ! [V_n,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,V_x)),V_n) = c_RealVector_Oof__real(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_x),V_n)) ).
% 53.87/53.97
% 53.87/53.97 fof(fact__096t_A_K_Acmod_Aw_A_060_061_A1_A_K_Acmod_Aw_096,axiom,
% 53.87/53.97 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_norm__power__ineq,axiom,
% 53.87/53.97 ! [V_n,V_x,T_a] :
% 53.87/53.97 ( class_RealVector_Oreal__normed__algebra__1(T_a)
% 53.87/53.97 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x)),V_n)) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_t_I3_J,axiom,
% 53.87/53.97 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_t____,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_norm__mult__ineq,axiom,
% 53.87/53.97 ! [V_y,V_x,T_a] :
% 53.87/53.97 ( class_RealVector_Oreal__normed__algebra(T_a)
% 53.87/53.97 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x)),c_RealVector_Onorm__class_Onorm(T_a,V_y))) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_of__real__power,axiom,
% 53.87/53.97 ! [V_n,V_x,T_a] :
% 53.87/53.97 ( class_RealVector_Oreal__algebra__1(T_a)
% 53.87/53.97 => c_RealVector_Oof__real(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_x),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_RealVector_Oof__real(T_a,V_x)),V_n) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_norm__power,axiom,
% 53.87/53.97 ! [V_n,V_x,T_a] :
% 53.87/53.97 ( class_RealVector_Oreal__normed__div__algebra(T_a)
% 53.87/53.97 => c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x)),V_n) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_of__real__mult,axiom,
% 53.87/53.97 ! [V_y,V_x,T_a] :
% 53.87/53.97 ( class_RealVector_Oreal__algebra__1(T_a)
% 53.87/53.97 => c_RealVector_Oof__real(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_RealVector_Oof__real(T_a,V_x)),c_RealVector_Oof__real(T_a,V_y)) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_norm__mult,axiom,
% 53.87/53.97 ! [V_y,V_x,T_a] :
% 53.87/53.97 ( class_RealVector_Oreal__normed__div__algebra(T_a)
% 53.87/53.97 => c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x)),c_RealVector_Onorm__class_Onorm(T_a,V_y)) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_norm__triangle__ineq,axiom,
% 53.87/53.97 ! [V_y,V_x,T_a] :
% 53.87/53.97 ( class_RealVector_Oreal__normed__vector(T_a)
% 53.87/53.97 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oplus__class_Oplus(T_a,V_x,V_y)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),c_RealVector_Onorm__class_Onorm(T_a,V_y))) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_power__add,axiom,
% 53.87/53.97 ! [V_n,V_m,V_a,T_a] :
% 53.87/53.97 ( class_Groups_Omonoid__mult(T_a)
% 53.87/53.97 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 53.87/53.97 ! [V_q,V_p,V_x,T_a] :
% 53.87/53.97 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.87/53.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_p,V_q)) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_one__le__power,axiom,
% 53.87/53.97 ! [V_n,V_a,T_a] :
% 53.87/53.97 ( class_Rings_Olinordered__semidom(T_a)
% 53.87/53.97 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 53.87/53.97 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_t_I2_J,axiom,
% 53.87/53.97 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_t____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_t_I1_J,axiom,
% 53.87/53.97 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_kas_I1_J,axiom,
% 53.87/53.97 v_a____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_m_I1_J,axiom,
% 53.87/53.97 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_th30,axiom,
% 53.87/53.97 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ).
% 53.87/53.97
% 53.87/53.97 fof(fact__096t_A_K_A_Icmod_Aw_A_094_A_Ik_A_L_A1_J_A_K_Am_J_A_060_A1_096,axiom,
% 53.87/53.97 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_less_Oprems,axiom,
% 53.87/53.97 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____)) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_w,axiom,
% 53.87/53.97 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_w____),v_k____)),v_a____)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_of__real__0,axiom,
% 53.87/53.97 ! [T_a] :
% 53.87/53.97 ( class_RealVector_Oreal__algebra__1(T_a)
% 53.87/53.97 => c_RealVector_Oof__real(T_a,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_of__real_Ozero,axiom,
% 53.87/53.97 ! [T_a] :
% 53.87/53.97 ( ( class_RealVector_Oreal__algebra__1(T_a)
% 53.87/53.97 & class_RealVector_Oreal__normed__vector(T_a) )
% 53.87/53.97 => c_RealVector_Oof__real(T_a,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_norm__zero,axiom,
% 53.87/53.97 ! [T_a] :
% 53.87/53.97 ( class_RealVector_Oreal__normed__vector(T_a)
% 53.87/53.97 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_of__real__inverse,axiom,
% 53.87/53.97 ! [V_x,T_a] :
% 53.87/53.97 ( ( class_RealVector_Oreal__div__algebra(T_a)
% 53.87/53.97 & class_Rings_Odivision__ring__inverse__zero(T_a) )
% 53.87/53.97 => c_RealVector_Oof__real(T_a,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x)) = c_Rings_Oinverse__class_Oinverse(T_a,c_RealVector_Oof__real(T_a,V_x)) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_norm__inverse,axiom,
% 53.87/53.97 ! [V_a,T_a] :
% 53.87/53.97 ( ( class_RealVector_Oreal__normed__div__algebra(T_a)
% 53.87/53.97 & class_Rings_Odivision__ring__inverse__zero(T_a) )
% 53.87/53.97 => c_RealVector_Onorm__class_Onorm(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a)) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_zero__less__norm__iff,axiom,
% 53.87/53.97 ! [V_x_2,T_a] :
% 53.87/53.97 ( class_RealVector_Oreal__normed__vector(T_a)
% 53.87/53.97 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x_2))
% 53.87/53.97 <=> V_x_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_of__real__eq__0__iff,axiom,
% 53.87/53.97 ! [V_x_2,T_a] :
% 53.87/53.97 ( class_RealVector_Oreal__algebra__1(T_a)
% 53.87/53.97 => ( c_RealVector_Oof__real(T_a,V_x_2) = c_Groups_Ozero__class_Ozero(T_a)
% 53.87/53.97 <=> V_x_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_norm__eq__zero,axiom,
% 53.87/53.97 ! [V_x_2,T_a] :
% 53.87/53.97 ( class_RealVector_Oreal__normed__vector(T_a)
% 53.87/53.97 => ( c_RealVector_Onorm__class_Onorm(T_a,V_x_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 53.87/53.97 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_power__eq__0__iff,axiom,
% 53.87/53.97 ! [V_n_2,V_aa_2,T_a] :
% 53.87/53.97 ( ( class_Power_Opower(T_a)
% 53.87/53.97 & class_Rings_Omult__zero(T_a)
% 53.87/53.97 & class_Rings_Ono__zero__divisors(T_a)
% 53.87/53.97 & class_Rings_Ozero__neq__one(T_a) )
% 53.87/53.97 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_aa_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_a)
% 53.87/53.97 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a)
% 53.87/53.97 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_nonzero__norm__inverse,axiom,
% 53.87/53.97 ! [V_a,T_a] :
% 53.87/53.97 ( class_RealVector_Oreal__normed__div__algebra(T_a)
% 53.87/53.97 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 53.87/53.97 => c_RealVector_Onorm__class_Onorm(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a)) ) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_nonzero__power__inverse,axiom,
% 53.87/53.97 ! [V_n,V_a,T_a] :
% 53.87/53.97 ( class_Rings_Odivision__ring(T_a)
% 53.87/53.97 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 53.87/53.97 => c_Rings_Oinverse__class_Oinverse(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),V_n) ) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_zero__less__power,axiom,
% 53.87/53.97 ! [V_n,V_a,T_a] :
% 53.87/53.97 ( class_Rings_Olinordered__semidom(T_a)
% 53.87/53.97 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.87/53.97 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_power__strict__mono,axiom,
% 53.87/53.97 ! [V_n,V_b,V_a,T_a] :
% 53.87/53.97 ( class_Rings_Olinordered__semidom(T_a)
% 53.87/53.97 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 53.87/53.97 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.87/53.97 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 53.87/53.97 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ) ) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_power__strict__decreasing,axiom,
% 53.87/53.97 ! [V_a,V_N,V_n,T_a] :
% 53.87/53.97 ( class_Rings_Olinordered__semidom(T_a)
% 53.87/53.97 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N)
% 53.87/53.97 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.87/53.97 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 53.87/53.97 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_one__less__power,axiom,
% 53.87/53.97 ! [V_n,V_a,T_a] :
% 53.87/53.97 ( class_Rings_Olinordered__semidom(T_a)
% 53.87/53.97 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 53.87/53.97 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 53.87/53.97 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_power__inverse,axiom,
% 53.87/53.97 ! [V_n,V_a,T_a] :
% 53.87/53.97 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 53.87/53.97 => c_Rings_Oinverse__class_Oinverse(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),V_n) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 53.87/53.97 ! [V_q,V_p,V_x,T_a] :
% 53.87/53.97 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.87/53.97 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),V_q) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),V_q)) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_power__mult,axiom,
% 53.87/53.97 ! [V_n,V_m,V_a,T_a] :
% 53.87/53.97 ( class_Groups_Omonoid__mult(T_a)
% 53.87/53.97 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),V_n) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_mult__right_Ozero,axiom,
% 53.87/53.97 ! [V_x,T_a] :
% 53.87/53.97 ( class_RealVector_Oreal__normed__algebra(T_a)
% 53.87/53.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_mult_Ozero__right,axiom,
% 53.87/53.97 ! [V_a,T_a] :
% 53.87/53.97 ( class_RealVector_Oreal__normed__algebra(T_a)
% 53.87/53.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 53.87/53.97
% 53.87/53.97 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 53.87/53.98 ! [V_a,T_a] :
% 53.87/53.98 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.87/53.98 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_mult__left_Ozero,axiom,
% 53.87/53.98 ! [V_y,T_a] :
% 53.87/53.98 ( class_RealVector_Oreal__normed__algebra(T_a)
% 53.87/53.98 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_mult_Ozero__left,axiom,
% 53.87/53.98 ! [V_b,T_a] :
% 53.87/53.98 ( class_RealVector_Oreal__normed__algebra(T_a)
% 53.87/53.98 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 53.87/53.98 ! [V_a,T_a] :
% 53.87/53.98 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.87/53.98 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_add__0__iff,axiom,
% 53.87/53.98 ! [V_aa_2,V_b_2,T_a] :
% 53.87/53.98 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 53.87/53.98 => ( V_b_2 = c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_aa_2)
% 53.87/53.98 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 53.87/53.98 ! [V_a,T_a] :
% 53.87/53.98 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.87/53.98 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 53.87/53.98 ! [V_a,T_a] :
% 53.87/53.98 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.87/53.98 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_field__power__not__zero,axiom,
% 53.87/53.98 ! [V_n,V_a,T_a] :
% 53.87/53.98 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 53.87/53.98 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 53.87/53.98 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_power__strict__increasing,axiom,
% 53.87/53.98 ! [V_a,V_N,V_n,T_a] :
% 53.87/53.98 ( class_Rings_Olinordered__semidom(T_a)
% 53.87/53.98 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N)
% 53.87/53.98 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 53.87/53.98 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N)) ) ) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_power__less__imp__less__exp,axiom,
% 53.87/53.98 ! [V_n,V_m,V_a,T_a] :
% 53.87/53.98 ( class_Rings_Olinordered__semidom(T_a)
% 53.87/53.98 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 53.87/53.98 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))
% 53.87/53.98 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_power__strict__increasing__iff,axiom,
% 53.87/53.98 ! [V_y_2,V_x_2,V_b_2,T_a] :
% 53.87/53.98 ( class_Rings_Olinordered__semidom(T_a)
% 53.87/53.98 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2)
% 53.87/53.98 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_x_2),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_y_2))
% 53.87/53.98 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x_2,V_y_2) ) ) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_power__less__imp__less__base,axiom,
% 53.87/53.98 ! [V_b,V_n,V_a,T_a] :
% 53.87/53.98 ( class_Rings_Olinordered__semidom(T_a)
% 53.87/53.98 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n))
% 53.87/53.98 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 53.87/53.98 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_power__0__left,axiom,
% 53.87/53.98 ! [V_n,T_a] :
% 53.87/53.98 ( ( class_Power_Opower(T_a)
% 53.87/53.98 & class_Rings_Osemiring__0(T_a) )
% 53.87/53.98 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 53.87/53.98 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n) = c_Groups_Oone__class_Oone(T_a) )
% 53.87/53.98 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 53.87/53.98 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_norm__le__zero__iff,axiom,
% 53.87/53.98 ! [V_x_2,T_a] :
% 53.87/53.98 ( class_RealVector_Oreal__normed__vector(T_a)
% 53.87/53.98 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 53.87/53.98 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_constant__def,axiom,
% 53.87/53.98 ! [V_f_2,T_b,T_a] :
% 53.87/53.98 ( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(T_a,T_b,V_f_2)
% 53.87/53.98 <=> ! [B_x,B_y] : hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_complex__mod__triangle__sub,axiom,
% 53.87/53.98 ! [V_z,V_w] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_w,V_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_z))) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_power__Suc__less,axiom,
% 53.87/53.98 ! [V_n,V_a,T_a] :
% 53.87/53.98 ( class_Rings_Olinordered__semidom(T_a)
% 53.87/53.98 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.87/53.98 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 53.87/53.98 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_power__inject__exp,axiom,
% 53.87/53.98 ! [V_n_2,V_ma_2,V_aa_2,T_a] :
% 53.87/53.98 ( class_Rings_Olinordered__semidom(T_a)
% 53.87/53.98 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_aa_2)
% 53.87/53.98 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_aa_2),V_ma_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_aa_2),V_n_2)
% 53.87/53.98 <=> V_ma_2 = V_n_2 ) ) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_add__scale__eq__noteq,axiom,
% 53.87/53.98 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 53.87/53.98 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 53.87/53.98 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 53.87/53.98 => ( ( V_a = V_b
% 53.87/53.98 & V_c != V_d )
% 53.87/53.98 => c_Groups_Oplus__class_Oplus(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_c)) != c_Groups_Oplus__class_Oplus(T_a,V_b,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_d)) ) ) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_norm__add__less,axiom,
% 53.87/53.98 ! [V_s,V_y,V_r,V_x,T_a] :
% 53.87/53.98 ( class_RealVector_Oreal__normed__vector(T_a)
% 53.87/53.98 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),V_r)
% 53.87/53.98 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_y),V_s)
% 53.87/53.98 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oplus__class_Oplus(T_a,V_x,V_y)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_r,V_s)) ) ) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_power__mono,axiom,
% 53.87/53.98 ! [V_n,V_b,V_a,T_a] :
% 53.87/53.98 ( class_Rings_Olinordered__semidom(T_a)
% 53.87/53.98 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 53.87/53.98 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.87/53.98 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_zero__le__power,axiom,
% 53.87/53.98 ! [V_n,V_a,T_a] :
% 53.87/53.98 ( class_Rings_Olinordered__semidom(T_a)
% 53.87/53.98 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.87/53.98 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 53.87/53.98 ! [V_x,T_a] :
% 53.87/53.98 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.87/53.98 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_power__0,axiom,
% 53.87/53.98 ! [V_a,T_a] :
% 53.87/53.98 ( class_Power_Opower(T_a)
% 53.87/53.98 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_power__le__imp__le__exp,axiom,
% 53.87/53.98 ! [V_n,V_m,V_a,T_a] :
% 53.87/53.98 ( class_Rings_Olinordered__semidom(T_a)
% 53.87/53.98 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 53.87/53.98 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))
% 53.87/53.98 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_power__increasing__iff,axiom,
% 53.87/53.98 ! [V_y_2,V_x_2,V_b_2,T_a] :
% 53.87/53.98 ( class_Rings_Olinordered__semidom(T_a)
% 53.87/53.98 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2)
% 53.87/53.98 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_x_2),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_y_2))
% 53.87/53.98 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x_2,V_y_2) ) ) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_power__less__power__Suc,axiom,
% 53.87/53.98 ! [V_n,V_a,T_a] :
% 53.87/53.98 ( class_Rings_Olinordered__semidom(T_a)
% 53.87/53.98 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 53.87/53.98 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_power__gt1__lemma,axiom,
% 53.87/53.98 ! [V_n,V_a,T_a] :
% 53.87/53.98 ( class_Rings_Olinordered__semidom(T_a)
% 53.87/53.98 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 53.87/53.98 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_norm__mult__less,axiom,
% 53.87/53.98 ! [V_s,V_y,V_r,V_x,T_a] :
% 53.87/53.98 ( class_RealVector_Oreal__normed__algebra(T_a)
% 53.87/53.98 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),V_r)
% 53.87/53.98 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_y),V_s)
% 53.87/53.98 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_r),V_s)) ) ) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_power__decreasing,axiom,
% 53.87/53.98 ! [V_a,V_N,V_n,T_a] :
% 53.87/53.98 ( class_Rings_Olinordered__semidom(T_a)
% 53.87/53.98 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_N)
% 53.87/53.98 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.87/53.98 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 53.87/53.98 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 53.87/53.98 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 53.87/53.98 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.87/53.98 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_ry)) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 53.87/53.98 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 53.87/53.98 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.87/53.98 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_ry)) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 53.87/53.98 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 53.87/53.98 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.87/53.98 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 53.87/53.98 ! [V_rx,V_ly,V_lx,T_a] :
% 53.87/53.98 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.87/53.98 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ly) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 53.87/53.98 ! [V_rx,V_ly,V_lx,T_a] :
% 53.87/53.98 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.87/53.98 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_rx)) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 53.87/53.98 ! [V_ry,V_rx,V_lx,T_a] :
% 53.87/53.98 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.87/53.98 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ry) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 53.87/53.98 ! [V_ry,V_rx,V_lx,T_a] :
% 53.87/53.98 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.87/53.98 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ry)) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 53.87/53.98 ! [V_b,V_a,T_a] :
% 53.87/53.98 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.87/53.98 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 53.87/53.98 ! [V_d,V_c,V_b,V_a,T_a] :
% 53.87/53.98 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.87/53.98 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Oplus__class_Oplus(T_a,V_c,V_d)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 53.87/53.98 ! [V_c,V_b,V_a,T_a] :
% 53.87/53.98 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.87/53.98 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),V_b) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 53.87/53.98 ! [V_c,V_b,V_a,T_a] :
% 53.87/53.98 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.87/53.98 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c) = c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 53.87/53.98 ! [V_d,V_c,V_a,T_a] :
% 53.87/53.98 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.87/53.98 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_d)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),V_d) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 53.87/53.98 ! [V_d,V_c,V_a,T_a] :
% 53.87/53.98 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.87/53.98 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_d)) = c_Groups_Oplus__class_Oplus(T_a,V_c,c_Groups_Oplus__class_Oplus(T_a,V_a,V_d)) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 53.87/53.98 ! [V_c,V_a,T_a] :
% 53.87/53.98 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.87/53.98 => c_Groups_Oplus__class_Oplus(T_a,V_a,V_c) = c_Groups_Oplus__class_Oplus(T_a,V_c,V_a) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_of__real__eq__iff,axiom,
% 53.87/53.98 ! [V_y_2,V_x_2,T_a] :
% 53.87/53.98 ( class_RealVector_Oreal__algebra__1(T_a)
% 53.87/53.98 => ( c_RealVector_Oof__real(T_a,V_x_2) = c_RealVector_Oof__real(T_a,V_y_2)
% 53.87/53.98 <=> V_x_2 = V_y_2 ) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_crossproduct__eq,axiom,
% 53.87/53.98 ! [V_z_2,V_x_2,V_y_2,V_wa_2,T_a] :
% 53.87/53.98 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 53.87/53.98 => ( c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_wa_2),V_y_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_z_2)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_wa_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_y_2))
% 53.87/53.98 <=> ( V_wa_2 = V_x_2
% 53.87/53.98 | V_y_2 = V_z_2 ) ) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 53.87/53.98 ! [V_b,V_m,V_a,T_a] :
% 53.87/53.98 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.87/53.98 => c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_m)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),V_m) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_mult__left_Oadd,axiom,
% 53.87/53.98 ! [V_ya,V_y,V_x,T_a] :
% 53.87/53.98 ( class_RealVector_Oreal__normed__algebra(T_a)
% 53.87/53.98 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_x,V_y)),V_ya) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_ya),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_ya)) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_mult_Oadd__left,axiom,
% 53.87/53.98 ! [V_b,V_a_H,V_a,T_a] :
% 53.87/53.98 ( class_RealVector_Oreal__normed__algebra(T_a)
% 53.87/53.98 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_a_H)),V_b) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_H),V_b)) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 53.87/53.98 ! [V_c,V_b,V_a,T_a] :
% 53.87/53.98 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.87/53.98 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),V_c) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_crossproduct__noteq,axiom,
% 53.87/53.98 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_a] :
% 53.87/53.98 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 53.87/53.98 => ( ( V_aa_2 != V_b_2
% 53.87/53.98 & V_ca_2 != V_d_2 )
% 53.87/53.98 <=> c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_ca_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_d_2)) != c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_d_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_ca_2)) ) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_mult__right_Oadd,axiom,
% 53.87/53.98 ! [V_y,V_x,V_xa,T_a] :
% 53.87/53.98 ( class_RealVector_Oreal__normed__algebra(T_a)
% 53.87/53.98 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),c_Groups_Oplus__class_Oplus(T_a,V_x,V_y)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_y)) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 53.87/53.98 ! [V_z,V_y,V_x,T_a] :
% 53.87/53.98 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.87/53.98 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),c_Groups_Oplus__class_Oplus(T_a,V_y,V_z)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_mult_Oadd__right,axiom,
% 53.87/53.98 ! [V_b_H,V_b,V_a,T_a] :
% 53.87/53.98 ( class_RealVector_Oreal__normed__algebra(T_a)
% 53.87/53.98 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oplus__class_Oplus(T_a,V_b,V_b_H)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b_H)) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 53.87/53.98 ! [V_a,T_a] :
% 53.87/53.98 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.87/53.98 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 53.87/53.98 ! [V_a,T_a] :
% 53.87/53.98 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.87/53.98 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 53.87/53.98 ! [V_q,V_y,V_x,T_a] :
% 53.87/53.98 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.87/53.98 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),V_q) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_q)) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_power__mult__distrib,axiom,
% 53.87/53.98 ! [V_n,V_b,V_a,T_a] :
% 53.87/53.98 ( class_Groups_Ocomm__monoid__mult(T_a)
% 53.87/53.98 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_power__commutes,axiom,
% 53.87/53.98 ! [V_n,V_a,T_a] :
% 53.87/53.98 ( class_Groups_Omonoid__mult(T_a)
% 53.87/53.98 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_power__one,axiom,
% 53.87/53.98 ! [V_n,T_a] :
% 53.87/53.98 ( class_Groups_Omonoid__mult(T_a)
% 53.87/53.98 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oone__class_Oone(T_a)),V_n) = c_Groups_Oone__class_Oone(T_a) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_norm__one,axiom,
% 53.87/53.98 ! [T_a] :
% 53.87/53.98 ( class_RealVector_Oreal__normed__algebra__1(T_a)
% 53.87/53.98 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_of__real_Oadd,axiom,
% 53.87/53.98 ! [V_y,V_x,T_a] :
% 53.87/53.98 ( ( class_RealVector_Oreal__algebra__1(T_a)
% 53.87/53.98 & class_RealVector_Oreal__normed__vector(T_a) )
% 53.87/53.98 => c_RealVector_Oof__real(T_a,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,V_y)) = c_Groups_Oplus__class_Oplus(T_a,c_RealVector_Oof__real(T_a,V_x),c_RealVector_Oof__real(T_a,V_y)) ) ).
% 53.87/53.98
% 53.87/53.98 fof(fact_of__real__add,axiom,
% 53.87/53.98 ! [V_y,V_x,T_a] :
% 53.87/53.98 ( class_RealVector_Oreal__algebra__1(T_a)
% 53.87/53.99 => c_RealVector_Oof__real(T_a,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,V_y)) = c_Groups_Oplus__class_Oplus(T_a,c_RealVector_Oof__real(T_a,V_x),c_RealVector_Oof__real(T_a,V_y)) ) ).
% 53.87/53.99
% 53.87/53.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 53.87/53.99 ! [V_x,T_a] :
% 53.87/53.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.87/53.99 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 53.87/53.99
% 53.87/53.99 fof(fact_power__one__right,axiom,
% 53.87/53.99 ! [V_a,T_a] :
% 53.87/53.99 ( class_Groups_Omonoid__mult(T_a)
% 53.87/53.99 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 53.87/53.99
% 53.87/53.99 fof(fact_of__real__1,axiom,
% 53.87/53.99 ! [T_a] :
% 53.87/53.99 ( class_RealVector_Oreal__algebra__1(T_a)
% 53.87/53.99 => c_RealVector_Oof__real(T_a,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 53.87/53.99
% 53.87/53.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 53.87/53.99 ! [V_m,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.99/53.99 => c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oone__class_Oone(T_a))),V_m) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 53.99/53.99 ! [V_a,V_m,T_a] :
% 53.99/53.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.99/53.99 => c_Groups_Oplus__class_Oplus(T_a,V_m,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oone__class_Oone(T_a))),V_m) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 53.99/53.99 ! [V_m,T_a] :
% 53.99/53.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.99/53.99 => c_Groups_Oplus__class_Oplus(T_a,V_m,V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Oone__class_Oone(T_a))),V_m) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_power__increasing,axiom,
% 53.99/53.99 ! [V_a,V_N,V_n,T_a] :
% 53.99/53.99 ( class_Rings_Olinordered__semidom(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_N)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 53.99/53.99 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N)) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_inv0,axiom,
% 53.99/53.99 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))) ).
% 53.99/53.99
% 53.99/53.99 fof(fact__096cmod_A_Icomplex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_A_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_060_061_Acmod_A_Icomplex__of__real_A_I1_A_N_At_A_094_Ak_J_J_A_L_Acmod_A_I_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_096,axiom,
% 53.99/53.99 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))))) ).
% 53.99/53.99
% 53.99/53.99 fof(fact__0961_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_Ia_A_L_Acomplex__of__real_At_A_K_Aw_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_A_0611_A_L_Acomplex__of__real_At_A_094_Ak_A_K_A_Iw_A_094_Ak_A_K_Aa_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_096,axiom,
% 53.99/53.99 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))))) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_w____),v_k____)),v_a____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_convex__bound__lt,axiom,
% 53.99/53.99 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 53.99/53.99 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_u)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_v)
% 53.99/53.99 => ( c_Groups_Oplus__class_Oplus(T_a,V_u,V_v) = c_Groups_Oone__class_Oone(T_a)
% 53.99/53.99 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y)),V_a) ) ) ) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact__0960_A_060_At_A_094_Ak_096,axiom,
% 53.99/53.99 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_one__le__inverse,axiom,
% 53.99/53.99 ! [V_a,T_a] :
% 53.99/53.99 ( class_Fields_Olinordered__field(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 53.99/53.99 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_inverse__less__1__iff,axiom,
% 53.99/53.99 ! [V_x_2,T_a] :
% 53.99/53.99 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_x_2),c_Groups_Oone__class_Oone(T_a))
% 53.99/53.99 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/53.99 | c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_x_2) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_one__le__inverse__iff,axiom,
% 53.99/53.99 ! [V_x_2,T_a] :
% 53.99/53.99 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_x_2))
% 53.99/53.99 <=> ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2)
% 53.99/53.99 & c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,c_Groups_Oone__class_Oone(T_a)) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_convex__bound__le,axiom,
% 53.99/53.99 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 53.99/53.99 ( class_Rings_Olinordered__semiring__1(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_u)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_v)
% 53.99/53.99 => ( c_Groups_Oplus__class_Oplus(T_a,V_u,V_v) = c_Groups_Oone__class_Oone(T_a)
% 53.99/53.99 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y)),V_a) ) ) ) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_norm__ratiotest__lemma,axiom,
% 53.99/53.99 ! [V_y,V_x,V_c,T_a] :
% 53.99/53.99 ( class_RealVector_Oreal__normed__vector(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_c,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_c),c_RealVector_Onorm__class_Onorm(T_a,V_y)))
% 53.99/53.99 => V_x = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_left__inverse,axiom,
% 53.99/53.99 ! [V_a,T_a] :
% 53.99/53.99 ( class_Rings_Odivision__ring(T_a)
% 53.99/53.99 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 53.99/53.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_pc0,axiom,
% 53.99/53.99 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_c,axiom,
% 53.99/53.99 ! [B_w] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),B_w))) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_kn,axiom,
% 53.99/53.99 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 53.99/53.99
% 53.99/53.99 fof(fact__0961_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_Ia_A_L_Acomplex__of__real_At_A_K_Aw_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_A_061complex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_096,axiom,
% 53.99/53.99 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))))) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))) ).
% 53.99/53.99
% 53.99/53.99 fof(fact__0961_A_L_Acomplex__of__real_At_A_094_Ak_A_K_A_Iw_A_094_Ak_A_K_Aa_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_A_061complex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_096,axiom,
% 53.99/53.99 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_w____),v_k____)),v_a____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))) ).
% 53.99/53.99
% 53.99/53.99 fof(fact__096cmod_A_I1_A_L_A_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Ia_A_L_Acomplex__of__real_At_A_K_Aw_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_J_A_061cmod_A_Icomplex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_A_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_096,axiom,
% 53.99/53.99 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))))))) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))))) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_of__real_Odiff,axiom,
% 53.99/53.99 ! [V_y,V_x,T_a] :
% 53.99/53.99 ( ( class_RealVector_Oreal__algebra__1(T_a)
% 53.99/53.99 & class_RealVector_Oreal__normed__vector(T_a) )
% 53.99/53.99 => c_RealVector_Oof__real(T_a,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,V_y)) = c_Groups_Ominus__class_Ominus(T_a,c_RealVector_Oof__real(T_a,V_x),c_RealVector_Oof__real(T_a,V_y)) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_of__real__diff,axiom,
% 53.99/53.99 ! [V_y,V_x,T_a] :
% 53.99/53.99 ( class_RealVector_Oreal__algebra__1(T_a)
% 53.99/53.99 => c_RealVector_Oof__real(T_a,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,V_y)) = c_Groups_Ominus__class_Ominus(T_a,c_RealVector_Oof__real(T_a,V_x),c_RealVector_Oof__real(T_a,V_y)) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_norm__triangle__ineq2,axiom,
% 53.99/53.99 ! [V_b,V_a,T_a] :
% 53.99/53.99 ( class_RealVector_Oreal__normed__vector(T_a)
% 53.99/53.99 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b)),c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b))) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult_Odiff__right,axiom,
% 53.99/53.99 ! [V_b_H,V_b,V_a,T_a] :
% 53.99/53.99 ( class_RealVector_Oreal__normed__algebra(T_a)
% 53.99/53.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ominus__class_Ominus(T_a,V_b,V_b_H)) = c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b_H)) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult__right_Odiff,axiom,
% 53.99/53.99 ! [V_y,V_x,V_xa,T_a] :
% 53.99/53.99 ( class_RealVector_Oreal__normed__algebra(T_a)
% 53.99/53.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),c_Groups_Ominus__class_Ominus(T_a,V_x,V_y)) = c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_y)) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult_Odiff__left,axiom,
% 53.99/53.99 ! [V_b,V_a_H,V_a,T_a] :
% 53.99/53.99 ( class_RealVector_Oreal__normed__algebra(T_a)
% 53.99/53.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_a,V_a_H)),V_b) = c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_H),V_b)) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult__left_Odiff,axiom,
% 53.99/53.99 ! [V_ya,V_y,V_x,T_a] :
% 53.99/53.99 ( class_RealVector_Oreal__normed__algebra(T_a)
% 53.99/53.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_y)),V_ya) = c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_ya),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_ya)) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_norm__minus__commute,axiom,
% 53.99/53.99 ! [V_b,V_a,T_a] :
% 53.99/53.99 ( class_RealVector_Oreal__normed__vector(T_a)
% 53.99/53.99 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b)) = c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_b,V_a)) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_nat__power__less__imp__less,axiom,
% 53.99/53.99 ! [V_n,V_m,V_i] :
% 53.99/53.99 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n))
% 53.99/53.99 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_nat__zero__less__power__iff,axiom,
% 53.99/53.99 ! [V_n_2,V_x_2] :
% 53.99/53.99 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_n_2))
% 53.99/53.99 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2)
% 53.99/53.99 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_eq__add__iff2,axiom,
% 53.99/53.99 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] :
% 53.99/53.99 ( class_Rings_Oring(T_a)
% 53.99/53.99 => ( c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_e_2),V_ca_2) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2),V_d_2)
% 53.99/53.99 <=> V_ca_2 = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_b_2,V_aa_2)),V_e_2),V_d_2) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_eq__add__iff1,axiom,
% 53.99/53.99 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] :
% 53.99/53.99 ( class_Rings_Oring(T_a)
% 53.99/53.99 => ( c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_e_2),V_ca_2) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2),V_d_2)
% 53.99/53.99 <=> c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2)),V_e_2),V_ca_2) = V_d_2 ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_le__add__iff2,axiom,
% 53.99/53.99 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] :
% 53.99/53.99 ( class_Rings_Oordered__ring(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_e_2),V_ca_2),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2),V_d_2))
% 53.99/53.99 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_ca_2,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_b_2,V_aa_2)),V_e_2),V_d_2)) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_le__add__iff1,axiom,
% 53.99/53.99 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] :
% 53.99/53.99 ( class_Rings_Oordered__ring(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_e_2),V_ca_2),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2),V_d_2))
% 53.99/53.99 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2)),V_e_2),V_ca_2),V_d_2) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_less__add__iff2,axiom,
% 53.99/53.99 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] :
% 53.99/53.99 ( class_Rings_Oordered__ring(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_e_2),V_ca_2),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2),V_d_2))
% 53.99/53.99 <=> c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_b_2,V_aa_2)),V_e_2),V_d_2)) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_less__add__iff1,axiom,
% 53.99/53.99 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] :
% 53.99/53.99 ( class_Rings_Oordered__ring(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_e_2),V_ca_2),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2),V_d_2))
% 53.99/53.99 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2)),V_e_2),V_ca_2),V_d_2) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult_Oprod__diff__prod,axiom,
% 53.99/53.99 ! [V_b,V_a,V_y,V_x,T_a] :
% 53.99/53.99 ( class_RealVector_Oreal__normed__algebra(T_a)
% 53.99/53.99 => c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_a)),c_Groups_Ominus__class_Ominus(T_a,V_y,V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_a)),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ominus__class_Ominus(T_a,V_y,V_b))) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_division__ring__inverse__diff,axiom,
% 53.99/53.99 ! [V_b,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Odivision__ring(T_a)
% 53.99/53.99 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 53.99/53.99 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 53.99/53.99 => c_Groups_Ominus__class_Ominus(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),c_Groups_Ominus__class_Ominus(T_a,V_b,V_a))),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_norm__ge__zero,axiom,
% 53.99/53.99 ! [V_x,T_a] :
% 53.99/53.99 ( class_RealVector_Oreal__normed__vector(T_a)
% 53.99/53.99 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x)) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_norm__not__less__zero,axiom,
% 53.99/53.99 ! [V_x,T_a] :
% 53.99/53.99 ( class_RealVector_Oreal__normed__vector(T_a)
% 53.99/53.99 => ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_norm__diff__ineq,axiom,
% 53.99/53.99 ! [V_b,V_a,T_a] :
% 53.99/53.99 ( class_RealVector_Oreal__normed__vector(T_a)
% 53.99/53.99 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b)),c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b))) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_norm__triangle__ineq4,axiom,
% 53.99/53.99 ! [V_b,V_a,T_a] :
% 53.99/53.99 ( class_RealVector_Oreal__normed__vector(T_a)
% 53.99/53.99 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b))) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_linorder__neqE__linordered__idom,axiom,
% 53.99/53.99 ! [V_y,V_x,T_a] :
% 53.99/53.99 ( class_Rings_Olinordered__idom(T_a)
% 53.99/53.99 => ( V_x != V_y
% 53.99/53.99 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 53.99/53.99 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_le__Suc__ex__iff,axiom,
% 53.99/53.99 ! [V_l_2,V_ka_2] :
% 53.99/53.99 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_l_2)
% 53.99/53.99 <=> ? [B_n] : V_l_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,B_n) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_inverse__eq__imp__eq,axiom,
% 53.99/53.99 ! [V_b,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 53.99/53.99 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_a) = c_Rings_Oinverse__class_Oinverse(T_a,V_b)
% 53.99/53.99 => V_a = V_b ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_inverse__eq__iff__eq,axiom,
% 53.99/53.99 ! [V_b_2,V_aa_2,T_a] :
% 53.99/53.99 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 53.99/53.99 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2) = c_Rings_Oinverse__class_Oinverse(T_a,V_b_2)
% 53.99/53.99 <=> V_aa_2 = V_b_2 ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_inverse__inverse__eq,axiom,
% 53.99/53.99 ! [V_a,T_a] :
% 53.99/53.99 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 53.99/53.99 => c_Rings_Oinverse__class_Oinverse(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = V_a ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_nonzero__of__real__inverse,axiom,
% 53.99/53.99 ! [V_x,T_a] :
% 53.99/53.99 ( class_RealVector_Oreal__div__algebra(T_a)
% 53.99/53.99 => ( V_x != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 53.99/53.99 => c_RealVector_Oof__real(T_a,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x)) = c_Rings_Oinverse__class_Oinverse(T_a,c_RealVector_Oof__real(T_a,V_x)) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_norm__diff__triangle__ineq,axiom,
% 53.99/53.99 ! [V_d,V_c,V_b,V_a,T_a] :
% 53.99/53.99 ( class_RealVector_Oreal__normed__vector(T_a)
% 53.99/53.99 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Oplus__class_Oplus(T_a,V_c,V_d))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_c)),c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_b,V_d)))) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_power__eq__imp__eq__base,axiom,
% 53.99/53.99 ! [V_b,V_n,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Olinordered__semidom(T_a)
% 53.99/53.99 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 53.99/53.99 => V_a = V_b ) ) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult__zero__left,axiom,
% 53.99/53.99 ! [V_a,T_a] :
% 53.99/53.99 ( class_Rings_Omult__zero(T_a)
% 53.99/53.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult__zero__right,axiom,
% 53.99/53.99 ! [V_a,T_a] :
% 53.99/53.99 ( class_Rings_Omult__zero(T_a)
% 53.99/53.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult__eq__0__iff,axiom,
% 53.99/53.99 ! [V_b_2,V_aa_2,T_a] :
% 53.99/53.99 ( class_Rings_Oring__no__zero__divisors(T_a)
% 53.99/53.99 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a)
% 53.99/53.99 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a)
% 53.99/53.99 | V_b_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_no__zero__divisors,axiom,
% 53.99/53.99 ! [V_b,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Ono__zero__divisors(T_a)
% 53.99/53.99 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 53.99/53.99 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 53.99/53.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_divisors__zero,axiom,
% 53.99/53.99 ! [V_b,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Ono__zero__divisors(T_a)
% 53.99/53.99 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 53.99/53.99 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 53.99/53.99 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_one__neq__zero,axiom,
% 53.99/53.99 ! [T_a] :
% 53.99/53.99 ( class_Rings_Ozero__neq__one(T_a)
% 53.99/53.99 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_zero__neq__one,axiom,
% 53.99/53.99 ! [T_a] :
% 53.99/53.99 ( class_Rings_Ozero__neq__one(T_a)
% 53.99/53.99 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_comm__semiring__class_Odistrib,axiom,
% 53.99/53.99 ! [V_c,V_b,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Ocomm__semiring(T_a)
% 53.99/53.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),V_c) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_combine__common__factor,axiom,
% 53.99/53.99 ! [V_c,V_b,V_e,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Osemiring(T_a)
% 53.99/53.99 => c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_e),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_e),V_c)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),V_e),V_c) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_nonzero__inverse__eq__imp__eq,axiom,
% 53.99/53.99 ! [V_b,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Odivision__ring(T_a)
% 53.99/53.99 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_a) = c_Rings_Oinverse__class_Oinverse(T_a,V_b)
% 53.99/53.99 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 53.99/53.99 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 53.99/53.99 => V_a = V_b ) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_inverse__zero__imp__zero,axiom,
% 53.99/53.99 ! [V_a,T_a] :
% 53.99/53.99 ( class_Rings_Odivision__ring(T_a)
% 53.99/53.99 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_a) = c_Groups_Ozero__class_Ozero(T_a)
% 53.99/53.99 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_nonzero__inverse__inverse__eq,axiom,
% 53.99/53.99 ! [V_a,T_a] :
% 53.99/53.99 ( class_Rings_Odivision__ring(T_a)
% 53.99/53.99 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 53.99/53.99 => c_Rings_Oinverse__class_Oinverse(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = V_a ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_nonzero__imp__inverse__nonzero,axiom,
% 53.99/53.99 ! [V_a,T_a] :
% 53.99/53.99 ( class_Rings_Odivision__ring(T_a)
% 53.99/53.99 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 53.99/53.99 => c_Rings_Oinverse__class_Oinverse(T_a,V_a) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_inverse__nonzero__iff__nonzero,axiom,
% 53.99/53.99 ! [V_aa_2,T_a] :
% 53.99/53.99 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 53.99/53.99 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2) = c_Groups_Ozero__class_Ozero(T_a)
% 53.99/53.99 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_inverse__zero,axiom,
% 53.99/53.99 ! [T_a] :
% 53.99/53.99 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 53.99/53.99 => c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_field__inverse__zero,axiom,
% 53.99/53.99 ! [T_a] :
% 53.99/53.99 ( class_Fields_Ofield__inverse__zero(T_a)
% 53.99/53.99 => c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_inverse__mult__distrib,axiom,
% 53.99/53.99 ! [V_b,V_a,T_a] :
% 53.99/53.99 ( class_Fields_Ofield__inverse__zero(T_a)
% 53.99/53.99 => c_Rings_Oinverse__class_Oinverse(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_inverse__1,axiom,
% 53.99/53.99 ! [T_a] :
% 53.99/53.99 ( class_Rings_Odivision__ring(T_a)
% 53.99/53.99 => c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_inverse__eq__1__iff,axiom,
% 53.99/53.99 ! [V_x_2,T_a] :
% 53.99/53.99 ( class_Fields_Ofield__inverse__zero(T_a)
% 53.99/53.99 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_x_2) = c_Groups_Oone__class_Oone(T_a)
% 53.99/53.99 <=> V_x_2 = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_zero__le__square,axiom,
% 53.99/53.99 ! [V_a,T_a] :
% 53.99/53.99 ( class_Rings_Olinordered__ring(T_a)
% 53.99/53.99 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a)) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_zero__le__mult__iff,axiom,
% 53.99/53.99 ! [V_b_2,V_aa_2,T_a] :
% 53.99/53.99 ( class_Rings_Olinordered__ring__strict(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_b_2))
% 53.99/53.99 <=> ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2)
% 53.99/53.99 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2) )
% 53.99/53.99 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/53.99 & c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult__le__0__iff,axiom,
% 53.99/53.99 ! [V_b_2,V_aa_2,T_a] :
% 53.99/53.99 ( class_Rings_Olinordered__ring__strict(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a))
% 53.99/53.99 <=> ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2)
% 53.99/53.99 & c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)) )
% 53.99/53.99 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/53.99 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2) ) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult__nonneg__nonneg,axiom,
% 53.99/53.99 ! [V_b,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Oordered__cancel__semiring(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 53.99/53.99 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult__nonneg__nonpos,axiom,
% 53.99/53.99 ! [V_b,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Oordered__cancel__semiring(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/53.99 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult__nonneg__nonpos2,axiom,
% 53.99/53.99 ! [V_b,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Oordered__cancel__semiring(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/53.99 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult__nonpos__nonneg,axiom,
% 53.99/53.99 ! [V_b,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Oordered__cancel__semiring(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 53.99/53.99 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult__nonpos__nonpos,axiom,
% 53.99/53.99 ! [V_b,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Oordered__ring(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/53.99 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult__right__mono,axiom,
% 53.99/53.99 ! [V_c,V_b,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Oordered__semiring(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 53.99/53.99 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult__left__mono,axiom,
% 53.99/53.99 ! [V_c,V_b,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Oordered__semiring(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 53.99/53.99 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_comm__mult__left__mono,axiom,
% 53.99/53.99 ! [V_c,V_b,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Oordered__comm__semiring(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 53.99/53.99 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult__right__mono__neg,axiom,
% 53.99/53.99 ! [V_c,V_a,V_b,T_a] :
% 53.99/53.99 ( class_Rings_Oordered__ring(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/53.99 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult__left__mono__neg,axiom,
% 53.99/53.99 ! [V_c,V_a,V_b,T_a] :
% 53.99/53.99 ( class_Rings_Oordered__ring(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/53.99 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult__mono_H,axiom,
% 53.99/53.99 ! [V_d,V_c,V_b,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Oordered__semiring(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 53.99/53.99 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)) ) ) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult__mono,axiom,
% 53.99/53.99 ! [V_d,V_c,V_b,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Oordered__semiring(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 53.99/53.99 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)) ) ) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_split__mult__pos__le,axiom,
% 53.99/53.99 ! [V_b,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Oordered__ring(T_a)
% 53.99/53.99 => ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/53.99 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) )
% 53.99/53.99 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/53.99 & c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) ) )
% 53.99/53.99 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_split__mult__neg__le,axiom,
% 53.99/53.99 ! [V_b,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Oordered__cancel__semiring(T_a)
% 53.99/53.99 => ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/53.99 & c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) )
% 53.99/53.99 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/53.99 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) )
% 53.99/53.99 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult__strict__left__mono__neg,axiom,
% 53.99/53.99 ! [V_c,V_a,V_b,T_a] :
% 53.99/53.99 ( class_Rings_Olinordered__ring__strict(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/53.99 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult__strict__right__mono__neg,axiom,
% 53.99/53.99 ! [V_c,V_a,V_b,T_a] :
% 53.99/53.99 ( class_Rings_Olinordered__ring__strict(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/53.99 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_comm__mult__strict__left__mono,axiom,
% 53.99/53.99 ! [V_c,V_b,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 53.99/53.99 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult__strict__left__mono,axiom,
% 53.99/53.99 ! [V_c,V_b,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Olinordered__semiring__strict(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 53.99/53.99 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult__strict__right__mono,axiom,
% 53.99/53.99 ! [V_c,V_b,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Olinordered__semiring__strict(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 53.99/53.99 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult__neg__neg,axiom,
% 53.99/53.99 ! [V_b,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Olinordered__ring__strict(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/53.99 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult__neg__pos,axiom,
% 53.99/53.99 ! [V_b,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Olinordered__semiring__strict(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 53.99/53.99 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult__less__cancel__left__neg,axiom,
% 53.99/53.99 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 53.99/53.99 ( class_Rings_Olinordered__ring__strict(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_aa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2))
% 53.99/53.99 <=> c_Orderings_Oord__class_Oless(T_a,V_b_2,V_aa_2) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_zero__less__mult__pos2,axiom,
% 53.99/53.99 ! [V_a,V_b,T_a] :
% 53.99/53.99 ( class_Rings_Olinordered__semiring__strict(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a))
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/53.99 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_zero__less__mult__pos,axiom,
% 53.99/53.99 ! [V_b,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Olinordered__semiring__strict(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/53.99 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult__pos__neg2,axiom,
% 53.99/53.99 ! [V_b,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Olinordered__semiring__strict(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/53.99 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult__pos__neg,axiom,
% 53.99/53.99 ! [V_b,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Olinordered__semiring__strict(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/53.99 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult__pos__pos,axiom,
% 53.99/53.99 ! [V_b,V_a,T_a] :
% 53.99/53.99 ( class_Rings_Olinordered__semiring__strict(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 53.99/53.99 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult__less__cancel__left__pos,axiom,
% 53.99/53.99 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 53.99/53.99 ( class_Rings_Olinordered__ring__strict(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_aa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2))
% 53.99/53.99 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) ) ) ).
% 53.99/53.99
% 53.99/53.99 fof(fact_mult__less__cancel__left__disj,axiom,
% 53.99/53.99 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 53.99/53.99 ( class_Rings_Olinordered__ring__strict(T_a)
% 53.99/53.99 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_aa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2))
% 53.99/53.99 <=> ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2)
% 53.99/53.99 & c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) )
% 53.99/53.99 | ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.00 & c_Orderings_Oord__class_Oless(T_a,V_b_2,V_aa_2) ) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__less__cancel__right__disj,axiom,
% 53.99/54.00 ! [V_b_2,V_ca_2,V_aa_2,T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__ring__strict(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_ca_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_ca_2))
% 53.99/54.00 <=> ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2)
% 53.99/54.00 & c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) )
% 53.99/54.00 | ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.00 & c_Orderings_Oord__class_Oless(T_a,V_b_2,V_aa_2) ) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_not__square__less__zero,axiom,
% 53.99/54.00 ! [V_a,T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__ring(T_a)
% 53.99/54.00 => ~ c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_pos__add__strict,axiom,
% 53.99/54.00 ! [V_c,V_b,V_a,T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__semidom(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_not__one__le__zero,axiom,
% 53.99/54.00 ! [T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__semidom(T_a)
% 53.99/54.00 => ~ c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_zero__le__one,axiom,
% 53.99/54.00 ! [T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__semidom(T_a)
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_zero__less__one,axiom,
% 53.99/54.00 ! [T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__semidom(T_a)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_not__one__less__zero,axiom,
% 53.99/54.00 ! [T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__semidom(T_a)
% 53.99/54.00 => ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_less__1__mult,axiom,
% 53.99/54.00 ! [V_n,V_m,T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__semidom(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_m)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_n)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_m),V_n)) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_less__add__one,axiom,
% 53.99/54.00 ! [V_a,T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__semidom(T_a)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oone__class_Oone(T_a))) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_inverse__nonpositive__iff__nonpositive,axiom,
% 53.99/54.00 ! [V_aa_2,T_a] :
% 53.99/54.00 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.00 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_inverse__nonnegative__iff__nonnegative,axiom,
% 53.99/54.00 ! [V_aa_2,T_a] :
% 53.99/54.00 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2))
% 53.99/54.00 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_inverse__less__imp__less__neg,axiom,
% 53.99/54.00 ! [V_b,V_a,T_a] :
% 53.99/54.00 ( class_Fields_Olinordered__field(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b))
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.00 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_inverse__less__imp__less,axiom,
% 53.99/54.00 ! [V_b,V_a,T_a] :
% 53.99/54.00 ( class_Fields_Olinordered__field(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b))
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_inverse__negative__imp__negative,axiom,
% 53.99/54.00 ! [V_a,T_a] :
% 53.99/54.00 ( class_Fields_Olinordered__field(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.00 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_less__imp__inverse__less__neg,axiom,
% 53.99/54.00 ! [V_b,V_a,T_a] :
% 53.99/54.00 ( class_Fields_Olinordered__field(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.00 => c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_b),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_less__imp__inverse__less,axiom,
% 53.99/54.00 ! [V_b,V_a,T_a] :
% 53.99/54.00 ( class_Fields_Olinordered__field(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_b),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_negative__imp__inverse__negative,axiom,
% 53.99/54.00 ! [V_a,T_a] :
% 53.99/54.00 ( class_Fields_Olinordered__field(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.00 => c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_inverse__positive__imp__positive,axiom,
% 53.99/54.00 ! [V_a,T_a] :
% 53.99/54.00 ( class_Fields_Olinordered__field(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a))
% 53.99/54.00 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_positive__imp__inverse__positive,axiom,
% 53.99/54.00 ! [V_a,T_a] :
% 53.99/54.00 ( class_Fields_Olinordered__field(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_inverse__negative__iff__negative,axiom,
% 53.99/54.00 ! [V_aa_2,T_a] :
% 53.99/54.00 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.00 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_inverse__positive__iff__positive,axiom,
% 53.99/54.00 ! [V_aa_2,T_a] :
% 53.99/54.00 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2))
% 53.99/54.00 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_nonzero__inverse__mult__distrib,axiom,
% 53.99/54.00 ! [V_b,V_a,T_a] :
% 53.99/54.00 ( class_Rings_Odivision__ring(T_a)
% 53.99/54.00 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.00 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.00 => c_Rings_Oinverse__class_Oinverse(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b)),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_inverse__unique,axiom,
% 53.99/54.00 ! [V_b,V_a,T_a] :
% 53.99/54.00 ( class_Rings_Odivision__ring(T_a)
% 53.99/54.00 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Oone__class_Oone(T_a)
% 53.99/54.00 => c_Rings_Oinverse__class_Oinverse(T_a,V_a) = V_b ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__le__cancel__left__pos,axiom,
% 53.99/54.00 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__ring__strict(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_aa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2))
% 53.99/54.00 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__le__cancel__left__neg,axiom,
% 53.99/54.00 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__ring__strict(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_aa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2))
% 53.99/54.00 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,V_aa_2) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__strict__mono,axiom,
% 53.99/54.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)) ) ) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__strict__mono_H,axiom,
% 53.99/54.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)) ) ) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__less__le__imp__less,axiom,
% 53.99/54.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)) ) ) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__le__less__imp__less,axiom,
% 53.99/54.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)) ) ) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__right__less__imp__less,axiom,
% 53.99/54.00 ! [V_b,V_c,V_a,T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__semiring(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__less__imp__less__right,axiom,
% 53.99/54.00 ! [V_b,V_c,V_a,T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__left__less__imp__less,axiom,
% 53.99/54.00 ! [V_b,V_a,V_c,T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__semiring(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__less__imp__less__left,axiom,
% 53.99/54.00 ! [V_b,V_a,V_c,T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__right__le__imp__le,axiom,
% 53.99/54.00 ! [V_b,V_c,V_a,T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__left__le__imp__le,axiom,
% 53.99/54.00 ! [V_b,V_a,V_c,T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__right__le__one__le,axiom,
% 53.99/54.00 ! [V_y,V_x,T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,c_Groups_Oone__class_Oone(T_a))
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),V_x) ) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__left__le__one__le,axiom,
% 53.99/54.00 ! [V_y,V_x,T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,c_Groups_Oone__class_Oone(T_a))
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x),V_x) ) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_zero__less__two,axiom,
% 53.99/54.00 ! [T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__semidom(T_a)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Oone__class_Oone(T_a))) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_inverse__le__imp__le__neg,axiom,
% 53.99/54.00 ! [V_b,V_a,T_a] :
% 53.99/54.00 ( class_Fields_Olinordered__field(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b))
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_inverse__le__imp__le,axiom,
% 53.99/54.00 ! [V_b,V_a,T_a] :
% 53.99/54.00 ( class_Fields_Olinordered__field(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b))
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_le__imp__inverse__le__neg,axiom,
% 53.99/54.00 ! [V_b,V_a,T_a] :
% 53.99/54.00 ( class_Fields_Olinordered__field(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_b),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_le__imp__inverse__le,axiom,
% 53.99/54.00 ! [V_b,V_a,T_a] :
% 53.99/54.00 ( class_Fields_Olinordered__field(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_b),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_inverse__le__1__iff,axiom,
% 53.99/54.00 ! [V_x_2,T_a] :
% 53.99/54.00 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_x_2),c_Groups_Oone__class_Oone(T_a))
% 53.99/54.00 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.00 | c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_x_2) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_division__ring__inverse__add,axiom,
% 53.99/54.00 ! [V_b,V_a,T_a] :
% 53.99/54.00 ( class_Rings_Odivision__ring(T_a)
% 53.99/54.00 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.00 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.00 => c_Groups_Oplus__class_Oplus(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b))),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_inverse__add,axiom,
% 53.99/54.00 ! [V_b,V_a,T_a] :
% 53.99/54.00 ( class_Fields_Ofield(T_a)
% 53.99/54.00 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.00 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.00 => c_Groups_Oplus__class_Oplus(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),c_Rings_Oinverse__class_Oinverse(T_a,V_a))),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_one__less__inverse,axiom,
% 53.99/54.00 ! [V_a,T_a] :
% 53.99/54.00 ( class_Fields_Olinordered__field(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 53.99/54.00 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_one__less__inverse__iff,axiom,
% 53.99/54.00 ! [V_x_2,T_a] :
% 53.99/54.00 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_x_2))
% 53.99/54.00 <=> ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2)
% 53.99/54.00 & c_Orderings_Oord__class_Oless(T_a,V_x_2,c_Groups_Oone__class_Oone(T_a)) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_right__inverse,axiom,
% 53.99/54.00 ! [V_a,T_a] :
% 53.99/54.00 ( class_Rings_Odivision__ring(T_a)
% 53.99/54.00 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_field__inverse,axiom,
% 53.99/54.00 ! [V_a,T_a] :
% 53.99/54.00 ( class_Fields_Ofield(T_a)
% 53.99/54.00 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact__096_B_Bthesis_O_A_I_B_Bt_O_A_091_124_A0_A_060_At_059_At_A_060_A1_059_At_A_060_Ainverse_A_Icmod_Aw_A_094_A_Ik_A_L_A1_J_A_K_Am_J_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096,axiom,
% 53.99/54.00 ~ ! [B_t] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_t)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_t,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 53.99/54.00 => ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_t,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_th11,axiom,
% 53.99/54.00 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))))) ).
% 53.99/54.00
% 53.99/54.00 fof(fact__096_B_Bthesis_O_A_I_B_Bw_O_A1_A_L_Aw_A_094_Ak_A_K_Aa_A_061_A0_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096,axiom,
% 53.99/54.00 ~ ! [B_w] : c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),B_w),v_k____)),v_a____)) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ).
% 53.99/54.00
% 53.99/54.00 fof(fact__096EX_Am_0620_O_AALL_Az_O_Acmod_Az_A_060_061_Acmod_Aw_A_N_N_062_Acmod_A_Ipoly_As_Az_J_A_060_061_Am_096,axiom,
% 53.99/54.00 ? [B_m] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_m)
% 53.99/54.00 & ! [B_z] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),B_z)),B_m) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_k1n,axiom,
% 53.99/54.00 c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____)) ).
% 53.99/54.00
% 53.99/54.00 fof(fact__0961_A_L_Aw_A_094_Ak_A_K_Aa_A_N_A1_A_061_A0_A_N_A1_096,axiom,
% 53.99/54.00 c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_w____),v_k____)),v_a____)),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_Bseq__inverse__lemma,axiom,
% 53.99/54.00 ! [V_x,V_r,T_a] :
% 53.99/54.00 ( class_RealVector_Oreal__normed__div__algebra(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_r,c_RealVector_Onorm__class_Onorm(T_a,V_x))
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_r)
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_x)),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_r)) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_wm1,axiom,
% 53.99/54.00 hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_w____),v_k____)),v_a____) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_le0,axiom,
% 53.99/54.00 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_ath,axiom,
% 53.99/54.00 ! [V_t,V_x] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_t)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_t,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 53.99/54.00 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_t)),V_x),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_less__zeroE,axiom,
% 53.99/54.00 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_diff__le__self,axiom,
% 53.99/54.00 ! [V_n,V_m] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_m) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_abs__less__iff,axiom,
% 53.99/54.00 ! [V_b_2,V_aa_2,T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,V_aa_2),V_b_2)
% 53.99/54.00 <=> ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2)
% 53.99/54.00 & c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_b_2) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_less__imp__diff__less,axiom,
% 53.99/54.00 ! [V_n,V_k,V_j] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_n),V_k) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_diff__le__mono2,axiom,
% 53.99/54.00 ! [V_l,V_n,V_m] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_l,V_n),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_l,V_m)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_diff__le__mono,axiom,
% 53.99/54.00 ! [V_l,V_n,V_m] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_l),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_l)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_diff__diff__cancel,axiom,
% 53.99/54.00 ! [V_n,V_i] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_n)
% 53.99/54.00 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_i)) = V_i ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_diff__less__mono2,axiom,
% 53.99/54.00 ! [V_l,V_n,V_m] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_l)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_l,V_n),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_l,V_m)) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_eq__diff__iff,axiom,
% 53.99/54.00 ! [V_n_2,V_ma_2,V_ka_2] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_ma_2)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_n_2)
% 53.99/54.00 => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_ka_2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_ka_2)
% 53.99/54.00 <=> V_ma_2 = V_n_2 ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_Nat_Odiff__diff__eq,axiom,
% 53.99/54.00 ! [V_n,V_m,V_k] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_m)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n)
% 53.99/54.00 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_k),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_k)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_le__diff__iff,axiom,
% 53.99/54.00 ! [V_n_2,V_ma_2,V_ka_2] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_ma_2)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_n_2)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_ka_2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_ka_2))
% 53.99/54.00 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_abs__power__minus,axiom,
% 53.99/54.00 ! [V_n,V_a,T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.00 => c_Groups_Oabs__class_Oabs(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_a)),V_n)) = c_Groups_Oabs__class_Oabs(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_of__real_Ominus,axiom,
% 53.99/54.00 ! [V_x,T_a] :
% 53.99/54.00 ( ( class_RealVector_Oreal__algebra__1(T_a)
% 53.99/54.00 & class_RealVector_Oreal__normed__vector(T_a) )
% 53.99/54.00 => c_RealVector_Oof__real(T_a,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x)) = c_Groups_Ouminus__class_Ouminus(T_a,c_RealVector_Oof__real(T_a,V_x)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_of__real__minus,axiom,
% 53.99/54.00 ! [V_x,T_a] :
% 53.99/54.00 ( class_RealVector_Oreal__algebra__1(T_a)
% 53.99/54.00 => c_RealVector_Oof__real(T_a,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x)) = c_Groups_Ouminus__class_Ouminus(T_a,c_RealVector_Oof__real(T_a,V_x)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_diffs0__imp__equal,axiom,
% 53.99/54.00 ! [V_n,V_m] :
% 53.99/54.00 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 53.99/54.00 => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 53.99/54.00 => V_m = V_n ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_diff__self__eq__0,axiom,
% 53.99/54.00 ! [V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_minus__nat_Odiff__0,axiom,
% 53.99/54.00 ! [V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 53.99/54.00
% 53.99/54.00 fof(fact_diff__0__eq__0,axiom,
% 53.99/54.00 ! [V_n] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_diff__add__inverse2,axiom,
% 53.99/54.00 ! [V_n,V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n),V_n) = V_m ).
% 53.99/54.00
% 53.99/54.00 fof(fact_diff__add__inverse,axiom,
% 53.99/54.00 ! [V_m,V_n] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m),V_n) = V_m ).
% 53.99/54.00
% 53.99/54.00 fof(fact_diff__diff__left,axiom,
% 53.99/54.00 ! [V_k,V_j,V_i] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,V_j),V_k) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_k)) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_diff__cancel,axiom,
% 53.99/54.00 ! [V_n,V_m,V_k] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_m),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_n)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_diff__cancel2,axiom,
% 53.99/54.00 ! [V_n,V_k,V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_k)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_real__norm__def,axiom,
% 53.99/54.00 ! [V_r] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,V_r) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_diff__mult__distrib,axiom,
% 53.99/54.00 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)),V_k) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_diff__mult__distrib2,axiom,
% 53.99/54.00 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_abs__mult__self,axiom,
% 53.99/54.00 ! [V_a,T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a)),c_Groups_Oabs__class_Oabs(T_a,V_a)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_abs__mult,axiom,
% 53.99/54.00 ! [V_b,V_a,T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.00 => c_Groups_Oabs__class_Oabs(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a)),c_Groups_Oabs__class_Oabs(T_a,V_b)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_abs__one,axiom,
% 53.99/54.00 ! [T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.00 => c_Groups_Oabs__class_Oabs(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_power__abs,axiom,
% 53.99/54.00 ! [V_n,V_a,T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.00 => c_Groups_Oabs__class_Oabs(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a)),V_n) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_abs__inverse,axiom,
% 53.99/54.00 ! [V_a,T_a] :
% 53.99/54.00 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 53.99/54.00 => c_Groups_Oabs__class_Oabs(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__left_Ominus,axiom,
% 53.99/54.00 ! [V_y,V_x,T_a] :
% 53.99/54.00 ( class_RealVector_Oreal__normed__algebra(T_a)
% 53.99/54.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_x)),V_y) = c_Groups_Ouminus__class_Ouminus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult_Ominus__left,axiom,
% 53.99/54.00 ! [V_b,V_a,T_a] :
% 53.99/54.00 ( class_RealVector_Oreal__normed__algebra(T_a)
% 53.99/54.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_a)),V_b) = c_Groups_Ouminus__class_Ouminus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__right_Ominus,axiom,
% 53.99/54.00 ! [V_x,V_xa,T_a] :
% 53.99/54.00 ( class_RealVector_Oreal__normed__algebra(T_a)
% 53.99/54.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),c_Groups_Ouminus__class_Ouminus(T_a,V_x)) = c_Groups_Ouminus__class_Ouminus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_x)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult_Ominus__right,axiom,
% 53.99/54.00 ! [V_b,V_a,T_a] :
% 53.99/54.00 ( class_RealVector_Oreal__normed__algebra(T_a)
% 53.99/54.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ouminus__class_Ouminus(T_a,V_b)) = c_Groups_Ouminus__class_Ouminus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_square__eq__iff,axiom,
% 53.99/54.00 ! [V_b_2,V_aa_2,T_a] :
% 53.99/54.00 ( class_Rings_Oidom(T_a)
% 53.99/54.00 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_aa_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_b_2)
% 53.99/54.00 <=> ( V_aa_2 = V_b_2
% 53.99/54.00 | V_aa_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_minus__mult__minus,axiom,
% 53.99/54.00 ! [V_b,V_a,T_a] :
% 53.99/54.00 ( class_Rings_Oring(T_a)
% 53.99/54.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_a)),c_Groups_Ouminus__class_Ouminus(T_a,V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_minus__mult__commute,axiom,
% 53.99/54.00 ! [V_b,V_a,T_a] :
% 53.99/54.00 ( class_Rings_Oring(T_a)
% 53.99/54.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_a)),V_b) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ouminus__class_Ouminus(T_a,V_b)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_minus__mult__left,axiom,
% 53.99/54.00 ! [V_b,V_a,T_a] :
% 53.99/54.00 ( class_Rings_Oring(T_a)
% 53.99/54.00 => c_Groups_Ouminus__class_Ouminus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_a)),V_b) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_minus__mult__right,axiom,
% 53.99/54.00 ! [V_b,V_a,T_a] :
% 53.99/54.00 ( class_Rings_Oring(T_a)
% 53.99/54.00 => c_Groups_Ouminus__class_Ouminus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ouminus__class_Ouminus(T_a,V_b)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_abs__norm__cancel,axiom,
% 53.99/54.00 ! [V_a,T_a] :
% 53.99/54.00 ( class_RealVector_Oreal__normed__vector(T_a)
% 53.99/54.00 => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a)) = c_RealVector_Onorm__class_Onorm(T_a,V_a) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_norm__minus__cancel,axiom,
% 53.99/54.00 ! [V_x,T_a] :
% 53.99/54.00 ( class_RealVector_Oreal__normed__vector(T_a)
% 53.99/54.00 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x)) = c_RealVector_Onorm__class_Onorm(T_a,V_x) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_inverse__minus__eq,axiom,
% 53.99/54.00 ! [V_a,T_a] :
% 53.99/54.00 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 53.99/54.00 => c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a)) = c_Groups_Ouminus__class_Ouminus(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_diff__less,axiom,
% 53.99/54.00 ! [V_m,V_n] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_m) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_zero__less__diff,axiom,
% 53.99/54.00 ! [V_ma_2,V_n_2] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_ma_2))
% 53.99/54.00 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_diff__add__0,axiom,
% 53.99/54.00 ! [V_m,V_n] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_diff__is__0__eq,axiom,
% 53.99/54.00 ! [V_n_2,V_ma_2] :
% 53.99/54.00 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 53.99/54.00 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_diff__is__0__eq_H,axiom,
% 53.99/54.00 ! [V_n,V_m] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 53.99/54.00 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_add__diff__inverse,axiom,
% 53.99/54.00 ! [V_n,V_m] :
% 53.99/54.00 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 53.99/54.00 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = V_m ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_less__diff__conv,axiom,
% 53.99/54.00 ! [V_ka_2,V_j_2,V_i_2] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_ka_2))
% 53.99/54.00 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_ka_2),V_j_2) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_less__diff__iff,axiom,
% 53.99/54.00 ! [V_n_2,V_ma_2,V_ka_2] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_ma_2)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_n_2)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_ka_2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_ka_2))
% 53.99/54.00 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_diff__less__mono,axiom,
% 53.99/54.00 ! [V_c,V_b,V_a] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a,V_b)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_c,V_a)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_a,V_c),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_b,V_c)) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_diff__diff__right,axiom,
% 53.99/54.00 ! [V_i,V_j,V_k] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 53.99/54.00 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k),V_j) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_le__diff__conv,axiom,
% 53.99/54.00 ! [V_i_2,V_ka_2,V_j_2] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_ka_2),V_i_2)
% 53.99/54.00 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_ka_2)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_le__add__diff,axiom,
% 53.99/54.00 ! [V_m,V_n,V_k] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n)
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m),V_k)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_le__add__diff__inverse,axiom,
% 53.99/54.00 ! [V_m,V_n] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 53.99/54.00 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = V_m ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_add__diff__assoc,axiom,
% 53.99/54.00 ! [V_i,V_j,V_k] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 53.99/54.00 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_k) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_le__diff__conv2,axiom,
% 53.99/54.00 ! [V_i_2,V_j_2,V_ka_2] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_j_2)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_ka_2))
% 53.99/54.00 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_ka_2),V_j_2) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_le__add__diff__inverse2,axiom,
% 53.99/54.00 ! [V_m,V_n] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 53.99/54.00 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_n) = V_m ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_le__imp__diff__is__add,axiom,
% 53.99/54.00 ! [V_ka_2,V_j_2,V_i_2] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2)
% 53.99/54.00 => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2) = V_ka_2
% 53.99/54.00 <=> V_j_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_i_2) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_diff__add__assoc,axiom,
% 53.99/54.00 ! [V_i,V_j,V_k] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 53.99/54.00 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_k) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_add__diff__assoc2,axiom,
% 53.99/54.00 ! [V_i,V_j,V_k] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 53.99/54.00 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k),V_i) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_i),V_k) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_diff__add__assoc2,axiom,
% 53.99/54.00 ! [V_i,V_j,V_k] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 53.99/54.00 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_i),V_k) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k),V_i) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_abs__mult__less,axiom,
% 53.99/54.00 ! [V_d,V_b,V_c,V_a,T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),V_c)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,V_b),V_d)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a)),c_Groups_Oabs__class_Oabs(T_a,V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_d)) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_nonzero__abs__inverse,axiom,
% 53.99/54.00 ! [V_a,T_a] :
% 53.99/54.00 ( class_Fields_Olinordered__field(T_a)
% 53.99/54.00 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.00 => c_Groups_Oabs__class_Oabs(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a)) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_less__minus__self__iff,axiom,
% 53.99/54.00 ! [V_aa_2,T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2))
% 53.99/54.00 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 53.99/54.00 ! [V_x,T_a] :
% 53.99/54.00 ( class_Rings_Ocomm__ring__1(T_a)
% 53.99/54.00 => c_Groups_Ouminus__class_Ouminus(T_a,V_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a))),V_x) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_square__eq__1__iff,axiom,
% 53.99/54.00 ! [V_x_2,T_a] :
% 53.99/54.00 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 53.99/54.00 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_a)
% 53.99/54.00 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_a)
% 53.99/54.00 | V_x_2 = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 53.99/54.00 ! [V_y,V_x,T_a] :
% 53.99/54.00 ( class_Rings_Ocomm__ring__1(T_a)
% 53.99/54.00 => c_Groups_Ominus__class_Ominus(T_a,V_x,V_y) = c_Groups_Oplus__class_Oplus(T_a,V_x,c_Groups_Ouminus__class_Ouminus(T_a,V_y)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_nonzero__inverse__minus__eq,axiom,
% 53.99/54.00 ! [V_a,T_a] :
% 53.99/54.00 ( class_Rings_Odivision__ring(T_a)
% 53.99/54.00 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.00 => c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a)) = c_Groups_Ouminus__class_Ouminus(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_nat__diff__split__asm,axiom,
% 53.99/54.00 ! [V_b_2,V_aa_2,V_P_2] :
% 53.99/54.00 ( hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_aa_2,V_b_2)))
% 53.99/54.00 <=> ~ ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_aa_2,V_b_2)
% 53.99/54.00 & ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 53.99/54.00 | ? [B_d] :
% 53.99/54.00 ( V_aa_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_b_2,B_d)
% 53.99/54.00 & ~ hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_nat__diff__split,axiom,
% 53.99/54.00 ! [V_b_2,V_aa_2,V_P_2] :
% 53.99/54.00 ( hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_aa_2,V_b_2)))
% 53.99/54.00 <=> ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_aa_2,V_b_2)
% 53.99/54.00 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 53.99/54.00 & ! [B_d] :
% 53.99/54.00 ( V_aa_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_b_2,B_d)
% 53.99/54.00 => hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_norm__of__real,axiom,
% 53.99/54.00 ! [V_r,T_a] :
% 53.99/54.00 ( class_RealVector_Oreal__normed__algebra__1(T_a)
% 53.99/54.00 => c_RealVector_Onorm__class_Onorm(T_a,c_RealVector_Oof__real(T_a,V_r)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_psize__eq__0__iff,axiom,
% 53.99/54.00 ! [V_pb_2,T_a] :
% 53.99/54.00 ( class_Groups_Ozero(T_a)
% 53.99/54.00 => ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(T_a,V_pb_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 53.99/54.00 <=> V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_abs__eq__mult,axiom,
% 53.99/54.00 ! [V_b,V_a,T_a] :
% 53.99/54.00 ( class_Rings_Oordered__ring__abs(T_a)
% 53.99/54.00 => ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/54.00 | c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) )
% 53.99/54.00 & ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 53.99/54.00 | c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) ) )
% 53.99/54.00 => c_Groups_Oabs__class_Oabs(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a)),c_Groups_Oabs__class_Oabs(T_a,V_b)) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_abs__mult__pos,axiom,
% 53.99/54.00 ! [V_y,V_x,T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 53.99/54.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oabs__class_Oabs(T_a,V_y)),V_x) = c_Groups_Oabs__class_Oabs(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x)) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_zero__le__power__abs,axiom,
% 53.99/54.00 ! [V_n,V_a,T_a] :
% 53.99/54.00 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a)),V_n)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_power__minus,axiom,
% 53.99/54.00 ! [V_n,V_a,T_a] :
% 53.99/54.00 ( class_Rings_Oring__1(T_a)
% 53.99/54.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_a)),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a))),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_rabs__ratiotest__lemma,axiom,
% 53.99/54.00 ! [V_y,V_x,V_c] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_c,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_c),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_y)))
% 53.99/54.00 => V_x = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_nat__less__cases,axiom,
% 53.99/54.00 ! [V_P_2,V_n_2,V_ma_2] :
% 53.99/54.00 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2)
% 53.99/54.00 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_ma_2)) )
% 53.99/54.00 => ( ( V_ma_2 = V_n_2
% 53.99/54.00 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_ma_2)) )
% 53.99/54.00 => ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2)
% 53.99/54.00 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_ma_2)) )
% 53.99/54.00 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_ma_2)) ) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_less__not__refl3,axiom,
% 53.99/54.00 ! [V_t,V_s] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_s,V_t)
% 53.99/54.00 => V_s != V_t ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_less__not__refl2,axiom,
% 53.99/54.00 ! [V_m,V_n] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_m)
% 53.99/54.00 => V_m != V_n ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_less__irrefl__nat,axiom,
% 53.99/54.00 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_linorder__neqE__nat,axiom,
% 53.99/54.00 ! [V_y,V_x] :
% 53.99/54.00 ( V_x != V_y
% 53.99/54.00 => ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_y,V_x) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_nat__neq__iff,axiom,
% 53.99/54.00 ! [V_n_2,V_ma_2] :
% 53.99/54.00 ( V_ma_2 != V_n_2
% 53.99/54.00 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2)
% 53.99/54.00 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_less__not__refl,axiom,
% 53.99/54.00 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_nat__add__right__cancel,axiom,
% 53.99/54.00 ! [V_n_2,V_ka_2,V_ma_2] :
% 53.99/54.00 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_ka_2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n_2,V_ka_2)
% 53.99/54.00 <=> V_ma_2 = V_n_2 ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_nat__add__left__cancel,axiom,
% 53.99/54.00 ! [V_n_2,V_ma_2,V_ka_2] :
% 53.99/54.00 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_ma_2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_n_2)
% 53.99/54.00 <=> V_ma_2 = V_n_2 ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_nat__add__assoc,axiom,
% 53.99/54.00 ! [V_k,V_n,V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n),V_k) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_k)) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_nat__add__left__commute,axiom,
% 53.99/54.00 ! [V_z,V_y,V_x] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_x,V_z)) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_nat__add__commute,axiom,
% 53.99/54.00 ! [V_n,V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_le__antisym,axiom,
% 53.99/54.00 ! [V_n,V_m] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 53.99/54.00 => V_m = V_n ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_le__trans,axiom,
% 53.99/54.00 ! [V_k,V_j,V_i] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j,V_k)
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_k) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_eq__imp__le,axiom,
% 53.99/54.00 ! [V_n,V_m] :
% 53.99/54.00 ( V_m = V_n
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_nat__le__linear,axiom,
% 53.99/54.00 ! [V_n,V_m] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 53.99/54.00 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_le__refl,axiom,
% 53.99/54.00 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_n) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_nat__mult__assoc,axiom,
% 53.99/54.00 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_nat__mult__commute,axiom,
% 53.99/54.00 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_norm__triangle__ineq3,axiom,
% 53.99/54.00 ! [V_b,V_a,T_a] :
% 53.99/54.00 ( class_RealVector_Oreal__normed__vector(T_a)
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b))),c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b))) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_not__less0,axiom,
% 53.99/54.00 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_neq0__conv,axiom,
% 53.99/54.00 ! [V_n_2] :
% 53.99/54.00 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 53.99/54.00 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_less__nat__zero__code,axiom,
% 53.99/54.00 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_gr__implies__not0,axiom,
% 53.99/54.00 ! [V_n,V_m] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 53.99/54.00 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_gr0I,axiom,
% 53.99/54.00 ! [V_n] :
% 53.99/54.00 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_add__eq__self__zero,axiom,
% 53.99/54.00 ! [V_n,V_m] :
% 53.99/54.00 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n) = V_m
% 53.99/54.00 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_add__is__0,axiom,
% 53.99/54.00 ! [V_n_2,V_ma_2] :
% 53.99/54.00 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 53.99/54.00 <=> ( V_ma_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 53.99/54.00 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_Nat_Oadd__0__right,axiom,
% 53.99/54.00 ! [V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 53.99/54.00
% 53.99/54.00 fof(fact_plus__nat_Oadd__0,axiom,
% 53.99/54.00 ! [V_n] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) = V_n ).
% 53.99/54.00
% 53.99/54.00 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 53.99/54.00 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_le__0__eq,axiom,
% 53.99/54.00 ! [V_n_2] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 53.99/54.00 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__0,axiom,
% 53.99/54.00 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__0__right,axiom,
% 53.99/54.00 ! [V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__is__0,axiom,
% 53.99/54.00 ! [V_n_2,V_ma_2] :
% 53.99/54.00 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 53.99/54.00 <=> ( V_ma_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 53.99/54.00 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__cancel1,axiom,
% 53.99/54.00 ! [V_n_2,V_ma_2,V_ka_2] :
% 53.99/54.00 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_ma_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2)
% 53.99/54.00 <=> ( V_ma_2 = V_n_2
% 53.99/54.00 | V_ka_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__cancel2,axiom,
% 53.99/54.00 ! [V_n_2,V_ka_2,V_ma_2] :
% 53.99/54.00 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_ka_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_ka_2)
% 53.99/54.00 <=> ( V_ma_2 = V_n_2
% 53.99/54.00 | V_ka_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_add__lessD1,axiom,
% 53.99/54.00 ! [V_k,V_j,V_i] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_k)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_k) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_less__add__eq__less,axiom,
% 53.99/54.00 ! [V_n,V_m,V_l,V_k] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l)
% 53.99/54.00 => ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_l) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_n)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_add__less__mono,axiom,
% 53.99/54.00 ! [V_l,V_k,V_j,V_i] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_l)) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_add__less__mono1,axiom,
% 53.99/54.00 ! [V_k,V_j,V_i] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_k)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_trans__less__add2,axiom,
% 53.99/54.00 ! [V_m,V_j,V_i] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_j)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_trans__less__add1,axiom,
% 53.99/54.00 ! [V_m,V_j,V_i] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_m)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_nat__add__left__cancel__less,axiom,
% 53.99/54.00 ! [V_n_2,V_ma_2,V_ka_2] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_n_2))
% 53.99/54.00 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_not__add__less2,axiom,
% 53.99/54.00 ! [V_i,V_j] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_i),V_i) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_not__add__less1,axiom,
% 53.99/54.00 ! [V_j,V_i] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_i) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_less__or__eq__imp__le,axiom,
% 53.99/54.00 ! [V_n,V_m] :
% 53.99/54.00 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 53.99/54.00 | V_m = V_n )
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_le__neq__implies__less,axiom,
% 53.99/54.00 ! [V_n,V_m] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 53.99/54.00 => ( V_m != V_n
% 53.99/54.00 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_less__imp__le__nat,axiom,
% 53.99/54.00 ! [V_n,V_m] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_le__eq__less__or__eq,axiom,
% 53.99/54.00 ! [V_n_2,V_ma_2] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2)
% 53.99/54.00 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2)
% 53.99/54.00 | V_ma_2 = V_n_2 ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_nat__less__le,axiom,
% 53.99/54.00 ! [V_n_2,V_ma_2] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2)
% 53.99/54.00 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2)
% 53.99/54.00 & V_ma_2 != V_n_2 ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_add__leE,axiom,
% 53.99/54.00 ! [V_n,V_k,V_m] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n)
% 53.99/54.00 => ~ ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 53.99/54.00 => ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_add__leD1,axiom,
% 53.99/54.00 ! [V_n,V_k,V_m] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n)
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_add__leD2,axiom,
% 53.99/54.00 ! [V_n,V_k,V_m] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n)
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_add__le__mono,axiom,
% 53.99/54.00 ! [V_l,V_k,V_j,V_i] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_l)
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_l)) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_add__le__mono1,axiom,
% 53.99/54.00 ! [V_k,V_j,V_i] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_k)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_trans__le__add2,axiom,
% 53.99/54.00 ! [V_m,V_j,V_i] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_j)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_trans__le__add1,axiom,
% 53.99/54.00 ! [V_m,V_j,V_i] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_m)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_nat__add__left__cancel__le,axiom,
% 53.99/54.00 ! [V_n_2,V_ma_2,V_ka_2] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_n_2))
% 53.99/54.00 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_le__iff__add,axiom,
% 53.99/54.00 ! [V_n_2,V_ma_2] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2)
% 53.99/54.00 <=> ? [B_k] : V_n_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,B_k) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_le__add1,axiom,
% 53.99/54.00 ! [V_m,V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m)) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_le__add2,axiom,
% 53.99/54.00 ! [V_m,V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_add__mult__distrib,axiom,
% 53.99/54.00 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)),V_k) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_add__mult__distrib2,axiom,
% 53.99/54.00 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__le__mono,axiom,
% 53.99/54.00 ! [V_l,V_k,V_j,V_i] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_l)
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_l)) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__le__mono2,axiom,
% 53.99/54.00 ! [V_k,V_j,V_i] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__le__mono1,axiom,
% 53.99/54.00 ! [V_k,V_j,V_i] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_le__cube,axiom,
% 53.99/54.00 ! [V_m] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m))) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_le__square,axiom,
% 53.99/54.00 ! [V_m] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m)) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_nat__mult__eq__1__iff,axiom,
% 53.99/54.00 ! [V_n_2,V_ma_2] :
% 53.99/54.00 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 53.99/54.00 <=> ( V_ma_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 53.99/54.00 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_nat__mult__1__right,axiom,
% 53.99/54.00 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 53.99/54.00
% 53.99/54.00 fof(fact_nat__1__eq__mult__iff,axiom,
% 53.99/54.00 ! [V_n_2,V_ma_2] :
% 53.99/54.00 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2)
% 53.99/54.00 <=> ( V_ma_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 53.99/54.00 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_nat__mult__1,axiom,
% 53.99/54.00 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 53.99/54.00
% 53.99/54.00 fof(fact_add__gr__0,axiom,
% 53.99/54.00 ! [V_n_2,V_ma_2] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_n_2))
% 53.99/54.00 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ma_2)
% 53.99/54.00 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_nat__0__less__mult__iff,axiom,
% 53.99/54.00 ! [V_n_2,V_ma_2] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2))
% 53.99/54.00 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ma_2)
% 53.99/54.00 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__less__cancel1,axiom,
% 53.99/54.00 ! [V_n_2,V_ma_2,V_ka_2] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2))
% 53.99/54.00 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2)
% 53.99/54.00 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__less__cancel2,axiom,
% 53.99/54.00 ! [V_n_2,V_ka_2,V_ma_2] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_ka_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_ka_2))
% 53.99/54.00 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2)
% 53.99/54.00 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__less__mono1,axiom,
% 53.99/54.00 ! [V_k,V_j,V_i] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k)) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__less__mono2,axiom,
% 53.99/54.00 ! [V_k,V_j,V_i] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 53.99/54.00 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)
% 53.99/54.00 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j)) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__eq__self__implies__10,axiom,
% 53.99/54.00 ! [V_n,V_m] :
% 53.99/54.00 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 53.99/54.00 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 53.99/54.00 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__le__cancel1,axiom,
% 53.99/54.00 ! [V_n_2,V_ma_2,V_ka_2] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2))
% 53.99/54.00 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2)
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_mult__le__cancel2,axiom,
% 53.99/54.00 ! [V_n_2,V_ka_2,V_ma_2] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_ka_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_ka_2))
% 53.99/54.00 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2)
% 53.99/54.00 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_q_I2_J,axiom,
% 53.99/54.00 ! [B_x] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),B_x) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_c____,B_x)) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_less_Ohyps,axiom,
% 53.99/54.00 ! [V_pb_2] :
% 53.99/54.00 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,V_pb_2),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____))
% 53.99/54.00 => ( ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,V_pb_2))
% 53.99/54.00 => ? [B_z] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,V_pb_2),B_z) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact__096EX_Aq_O_Apsize_Aq_A_061_Apsize_Ap_A_G_A_IALL_Ax_O_Apoly_Aq_Ax_A_061_Apoly_Ap_A_Ic_A_L_Ax_J_J_096,axiom,
% 53.99/54.00 ? [B_q] :
% 53.99/54.00 ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,B_q) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____)
% 53.99/54.00 & ! [B_x] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,B_q),B_x) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_c____,B_x)) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact__096poly_Ap_Ac_A_061_A0_A_061_061_062_AEX_Az_O_Apoly_Ap_Az_A_061_A0_096,axiom,
% 53.99/54.00 ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 53.99/54.00 => ? [B_z] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),B_z) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_q_I1_J,axiom,
% 53.99/54.00 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_q____) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_abs__add__one__gt__zero,axiom,
% 53.99/54.00 ! [V_x] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_x))) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_a00,axiom,
% 53.99/54.00 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_qnc,axiom,
% 53.99/54.00 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____)) ).
% 53.99/54.00
% 53.99/54.00 fof(fact__096constant_A_Ipoly_Aq_J_A_061_061_062_AFalse_096,axiom,
% 53.99/54.00 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____)) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_cq0,axiom,
% 53.99/54.00 ! [B_w] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),B_w))) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_pqc0,axiom,
% 53.99/54.00 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_kas_I3_J,axiom,
% 53.99/54.00 c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_s____),v_k____),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)) ).
% 53.99/54.00
% 53.99/54.00 fof(fact_diff__commute,axiom,
% 53.99/54.01 ! [V_k,V_j,V_i] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,V_j),V_k) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,V_k),V_j) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__minus__mult__self__le,axiom,
% 53.99/54.01 ! [V_x,V_u] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_u),V_u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_x)) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__add__eq__0__iff,axiom,
% 53.99/54.01 ! [V_y_2,V_x_2] :
% 53.99/54.01 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 53.99/54.01 <=> V_y_2 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__add__minus__iff,axiom,
% 53.99/54.01 ! [V_aa_2,V_x_2] :
% 53.99/54.01 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_aa_2)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 53.99/54.01 <=> V_x_2 = V_aa_2 ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_abs__le__interval__iff,axiom,
% 53.99/54.01 ! [V_r_2,V_x_2] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_x_2),V_r_2)
% 53.99/54.01 <=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_r_2),V_x_2)
% 53.99/54.01 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_r_2) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__diff__def,axiom,
% 53.99/54.01 ! [V_s,V_r] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_r,V_s) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_r,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_s)) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_minus__real__def,axiom,
% 53.99/54.01 ! [V_y,V_x] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,V_y) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_y)) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_abs__minus__add__cancel,axiom,
% 53.99/54.01 ! [V_y,V_x] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_y))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_y,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x))) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__add__le__0__iff,axiom,
% 53.99/54.01 ! [V_y_2,V_x_2] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_y_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__0__le__add__iff,axiom,
% 53.99/54.01 ! [V_y_2,V_x_2] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2),V_y_2) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__add__less__0__iff,axiom,
% 53.99/54.01 ! [V_y_2,V_x_2] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_y_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__0__less__add__iff,axiom,
% 53.99/54.01 ! [V_y_2,V_x_2] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2),V_y_2) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_abs__real__def,axiom,
% 53.99/54.01 ! [V_a] :
% 53.99/54.01 ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_a,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 53.99/54.01 => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_a) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_a) )
% 53.99/54.01 & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_a,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 53.99/54.01 => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_a) = V_a ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__abs__def,axiom,
% 53.99/54.01 ! [V_r] :
% 53.99/54.01 ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 53.99/54.01 => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_r) )
% 53.99/54.01 & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 53.99/54.01 => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) = V_r ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_abs__sum__triangle__ineq,axiom,
% 53.99/54.01 ! [V_m,V_l,V_y,V_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,V_y),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_l),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_m)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_l))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_y,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_m))))) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__le__refl,axiom,
% 53.99/54.01 ! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_w) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__le__linear,axiom,
% 53.99/54.01 ! [V_w,V_z] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w)
% 53.99/54.01 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__le__trans,axiom,
% 53.99/54.01 ! [V_k,V_j,V_i] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_j)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j,V_k)
% 53.99/54.01 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_k) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__le__antisym,axiom,
% 53.99/54.01 ! [V_w,V_z] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z)
% 53.99/54.01 => V_z = V_w ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__mult__commute,axiom,
% 53.99/54.01 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_w) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_w),V_z) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__mult__assoc,axiom,
% 53.99/54.01 ! [V_z3,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z1),V_z2)),V_z3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z2),V_z3)) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__less__def,axiom,
% 53.99/54.01 ! [V_y_2,V_x_2] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)
% 53.99/54.01 <=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)
% 53.99/54.01 & V_x_2 != V_y_2 ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_less__eq__real__def,axiom,
% 53.99/54.01 ! [V_y_2,V_x_2] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)
% 53.99/54.01 <=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)
% 53.99/54.01 | V_x_2 = V_y_2 ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__mult__right__cancel,axiom,
% 53.99/54.01 ! [V_b_2,V_aa_2,V_ca_2] :
% 53.99/54.01 ( V_ca_2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 53.99/54.01 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_aa_2),V_ca_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_b_2),V_ca_2)
% 53.99/54.01 <=> V_aa_2 = V_b_2 ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__mult__left__cancel,axiom,
% 53.99/54.01 ! [V_b_2,V_aa_2,V_ca_2] :
% 53.99/54.01 ( V_ca_2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 53.99/54.01 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ca_2),V_aa_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ca_2),V_b_2)
% 53.99/54.01 <=> V_aa_2 = V_b_2 ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__zero__not__eq__one,axiom,
% 53.99/54.01 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__add__left__mono,axiom,
% 53.99/54.01 ! [V_z,V_y,V_x] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,V_y)
% 53.99/54.01 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_z,V_x),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_z,V_y)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__mult__1,axiom,
% 53.99/54.01 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),V_z) = V_z ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__add__mult__distrib,axiom,
% 53.99/54.01 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_z1,V_z2)),V_w) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z1),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z2),V_w)) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_INVERSE__ZERO,axiom,
% 53.99/54.01 c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_mult__diff__mult,axiom,
% 53.99/54.01 ! [V_b,V_a,V_y,V_x,T_a] :
% 53.99/54.01 ( class_Rings_Oring(T_a)
% 53.99/54.01 => c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),c_Groups_Ominus__class_Ominus(T_a,V_y,V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_a)),V_b)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__eq__0__iff,axiom,
% 53.99/54.01 ! [V_y_2,V_x_2,T_a] :
% 53.99/54.01 ( class_Groups_Ogroup__add(T_a)
% 53.99/54.01 => ( c_Groups_Oplus__class_Oplus(T_a,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.01 <=> V_y_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_x_2) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__mult__less__mono2,axiom,
% 53.99/54.01 ! [V_y,V_x,V_z] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_y)
% 53.99/54.01 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_y)) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__mult__order,axiom,
% 53.99/54.01 ! [V_y,V_x] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y)
% 53.99/54.01 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_y)) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__mult__less__iff1,axiom,
% 53.99/54.01 ! [V_y_2,V_x_2,V_z_2] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__le__eq__diff,axiom,
% 53.99/54.01 ! [V_y_2,V_x_2] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x_2,V_y_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__two__squares__add__zero__iff,axiom,
% 53.99/54.01 ! [V_y_2,V_x_2] :
% 53.99/54.01 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 53.99/54.01 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 53.99/54.01 & V_y_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__squared__diff__one__factored,axiom,
% 53.99/54.01 ! [V_x,T_a] :
% 53.99/54.01 ( class_Rings_Oring__1(T_a)
% 53.99/54.01 => c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x),c_Groups_Oone__class_Oone(T_a)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_x,c_Groups_Oone__class_Oone(T_a))),c_Groups_Ominus__class_Ominus(T_a,V_x,c_Groups_Oone__class_Oone(T_a))) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__mult__le__cancel__iff1,axiom,
% 53.99/54.01 ! [V_y_2,V_x_2,V_z_2] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__mult__le__cancel__iff2,axiom,
% 53.99/54.01 ! [V_y_2,V_x_2,V_z_2] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_y_2))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_abs__add__one__not__less__self,axiom,
% 53.99/54.01 ! [V_x] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_x),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),V_x) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__mult__inverse__left,axiom,
% 53.99/54.01 ! [V_x] :
% 53.99/54.01 ( V_x != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 53.99/54.01 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x)),V_x) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_realpow__minus__mult,axiom,
% 53.99/54.01 ! [V_x,V_n,T_a] :
% 53.99/54.01 ( class_Groups_Omonoid__mult(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 53.99/54.01 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_x) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_realpow__num__eq__if,axiom,
% 53.99/54.01 ! [V_m,V_n,T_a] :
% 53.99/54.01 ( class_Power_Opower(T_a)
% 53.99/54.01 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 53.99/54.01 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),V_n) = c_Groups_Oone__class_Oone(T_a) )
% 53.99/54.01 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 53.99/54.01 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_complex__of__real__minus__one,axiom,
% 53.99/54.01 c_RealVector_Oof__real(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_power__eq__if,axiom,
% 53.99/54.01 ! [V_p,V_m] :
% 53.99/54.01 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 53.99/54.01 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 53.99/54.01 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 53.99/54.01 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_mult__eq__if,axiom,
% 53.99/54.01 ! [V_n,V_m] :
% 53.99/54.01 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 53.99/54.01 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 53.99/54.01 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 53.99/54.01 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n)) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact__096poly_Aq_A0_A_061_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A0_A_K_Apoly_Aq_A0_096,axiom,
% 53.99/54.01 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_qr,axiom,
% 53.99/54.01 ! [B_z] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),B_z) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),B_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_r01,axiom,
% 53.99/54.01 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_lgqr,axiom,
% 53.99/54.01 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_q____) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_rnc,axiom,
% 53.99/54.01 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____))) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_mrmq__eq,axiom,
% 53.99/54.01 ! [V_wa_2] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),V_wa_2)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),V_wa_2)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_kas_I4_J,axiom,
% 53.99/54.01 ! [B_z] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),B_z) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),B_z),v_k____)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_a____,v_s____)),B_z))) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_sum__squares__eq__zero__iff,axiom,
% 53.99/54.01 ! [V_y_2,V_x_2,T_a] :
% 53.99/54.01 ( class_Rings_Olinordered__ring__strict(T_a)
% 53.99/54.01 => ( c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.01 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.01 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_complex__mod__minus__le__complex__mod,axiom,
% 53.99/54.01 ! [V_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_x)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_x)) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_complex__diff__def,axiom,
% 53.99/54.01 ! [V_y,V_x] : c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,V_x,V_y) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_x,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,V_y)) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_sum__squares__le__zero__iff,axiom,
% 53.99/54.01 ! [V_y_2,V_x_2,T_a] :
% 53.99/54.01 ( class_Rings_Olinordered__ring__strict(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2)),c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.01 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.01 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_sum__squares__ge__zero,axiom,
% 53.99/54.01 ! [V_y,V_x,T_a] :
% 53.99/54.01 ( class_Rings_Olinordered__ring(T_a)
% 53.99/54.01 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y))) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_sum__squares__gt__zero__iff,axiom,
% 53.99/54.01 ! [V_y_2,V_x_2,T_a] :
% 53.99/54.01 ( class_Rings_Olinordered__ring__strict(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2)))
% 53.99/54.01 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.01 | V_y_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_not__sum__squares__lt__zero,axiom,
% 53.99/54.01 ! [V_y,V_x,T_a] :
% 53.99/54.01 ( class_Rings_Olinordered__ring(T_a)
% 53.99/54.01 => ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y)),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__mult__inverse__cancel2,axiom,
% 53.99/54.01 ! [V_u,V_y,V_x1,V_x] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x1),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_u))
% 53.99/54.01 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_u),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x1))) ) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_real__mult__inverse__cancel,axiom,
% 53.99/54.01 ! [V_u,V_y,V_x1,V_x] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x1),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_u))
% 53.99/54.01 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x)),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x1)),V_u)) ) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_complex__mod__triangle__ineq2,axiom,
% 53.99/54.01 ! [V_a,V_b] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_b,V_a)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_b)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_a)) ).
% 53.99/54.01
% 53.99/54.01 fof(fact__096psize_Ap_A_061_Ak_A_L_A1_A_061_061_062_AEX_Aw_O_Acmod_A_Ipoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Aw_J_A_060_A1_096,axiom,
% 53.99/54.01 ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 53.99/54.01 => ? [B_w] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),B_w)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact__096_I_B_Bx_Ay_O_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Ax_A_061_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Ay_J_061_061_062_AFalse_096,axiom,
% 53.99/54.01 ~ ! [B_x,B_y] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),B_x) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),B_y) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_nat__less__add__iff1,axiom,
% 53.99/54.01 ! [V_n_2,V_ma_2,V_u_2,V_i_2,V_j_2] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_n_2))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i_2,V_j_2)),V_u_2),V_ma_2),V_n_2) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_nat__less__add__iff2,axiom,
% 53.99/54.01 ! [V_n_2,V_ma_2,V_u_2,V_j_2,V_i_2] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_n_2))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2)),V_u_2),V_n_2)) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_offset__poly__eq__0__lemma,axiom,
% 53.99/54.01 ! [V_a,V_p,V_c,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.01 => ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_c,V_p),c_Polynomial_OpCons(T_a,V_a,V_p)) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 53.99/54.01 => V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 53.99/54.01 ! [V_n_2,V_ma_2,V_ka_2] :
% 53.99/54.01 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_ma_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2)
% 53.99/54.01 <=> ( V_ka_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 53.99/54.01 | V_ma_2 = V_n_2 ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_left__add__mult__distrib,axiom,
% 53.99/54.01 ! [V_k,V_j,V_u,V_i] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u),V_k)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j)),V_u),V_k) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_nat__mult__less__cancel1,axiom,
% 53.99/54.01 ! [V_n_2,V_ma_2,V_ka_2] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_nat__mult__eq__cancel1,axiom,
% 53.99/54.01 ! [V_n_2,V_ma_2,V_ka_2] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2)
% 53.99/54.01 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_ma_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2)
% 53.99/54.01 <=> V_ma_2 = V_n_2 ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_nat__mult__le__cancel1,axiom,
% 53.99/54.01 ! [V_n_2,V_ma_2,V_ka_2] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_nat__le__add__iff1,axiom,
% 53.99/54.01 ! [V_n_2,V_ma_2,V_u_2,V_i_2,V_j_2] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_n_2))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i_2,V_j_2)),V_u_2),V_ma_2),V_n_2) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_nat__diff__add__eq1,axiom,
% 53.99/54.01 ! [V_n,V_m,V_u,V_i,V_j] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j,V_i)
% 53.99/54.01 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u),V_m),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u),V_n)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,V_j)),V_u),V_m),V_n) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_nat__eq__add__iff1,axiom,
% 53.99/54.01 ! [V_n_2,V_ma_2,V_u_2,V_i_2,V_j_2] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2)
% 53.99/54.01 => ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_n_2)
% 53.99/54.01 <=> c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i_2,V_j_2)),V_u_2),V_ma_2) = V_n_2 ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_nat__le__add__iff2,axiom,
% 53.99/54.01 ! [V_n_2,V_ma_2,V_u_2,V_j_2,V_i_2] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_n_2))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2)),V_u_2),V_n_2)) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_nat__diff__add__eq2,axiom,
% 53.99/54.01 ! [V_n,V_m,V_u,V_j,V_i] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 53.99/54.01 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u),V_m),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u),V_n)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_i)),V_u),V_n)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_nat__eq__add__iff2,axiom,
% 53.99/54.01 ! [V_n_2,V_ma_2,V_u_2,V_j_2,V_i_2] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2)
% 53.99/54.01 => ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_n_2)
% 53.99/54.01 <=> V_ma_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2)),V_u_2),V_n_2) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_th01,axiom,
% 53.99/54.01 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Complex_Ocomplex,v_a____,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_th02,axiom,
% 53.99/54.01 c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Complex_Ocomplex,v_a____,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_Deriv_Oinverse__diff__inverse,axiom,
% 53.99/54.01 ! [V_b,V_a,T_a] :
% 53.99/54.01 ( class_Rings_Odivision__ring(T_a)
% 53.99/54.01 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.01 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.01 => c_Groups_Ominus__class_Ominus(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) = c_Groups_Ouminus__class_Ouminus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),c_Groups_Ominus__class_Ominus(T_a,V_a,V_b))),c_Rings_Oinverse__class_Oinverse(T_a,V_b))) ) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact__096_B_Bd2_O_A0_A_060_Ad2_A_061_061_062_AEX_Ae_0620_O_Ae_A_060_A1_A_G_Ae_A_060_Ad2_096,axiom,
% 53.99/54.01 ! [V_d2] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_d2)
% 53.99/54.01 => ? [B_e] :
% 53.99/54.01 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_e)
% 53.99/54.01 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_e,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 53.99/54.01 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_e,V_d2) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_poly__replicate__append,axiom,
% 53.99/54.01 ! [V_x,V_p,V_n,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__ring__1(T_a)
% 53.99/54.01 => hAPP(c_Polynomial_Opoly(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),c_Polynomial_Omonom(T_a,c_Groups_Oone__class_Oone(T_a),V_n)),V_p)),V_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(c_Polynomial_Opoly(T_a,V_p),V_x)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_Deriv_Oadd__diff__add,axiom,
% 53.99/54.01 ! [V_d,V_b,V_c,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oab__group__add(T_a)
% 53.99/54.01 => c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),c_Groups_Ominus__class_Ominus(T_a,V_c,V_d)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact__096EX_Az_O_Apoly_A_IpCons_A1_A_Imonom_Aa_A_Ik_A_N_A1_J_J_J_Az_A_061_A0_096,axiom,
% 53.99/54.01 ? [B_z] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Complex_Ocomplex,v_a____,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),B_z) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_monom__0,axiom,
% 53.99/54.01 ! [V_a,T_a] :
% 53.99/54.01 ( class_Groups_Ozero(T_a)
% 53.99/54.01 => c_Polynomial_Omonom(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Polynomial_OpCons(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_mult__pCons__right,axiom,
% 53.99/54.01 ! [V_q,V_a,V_p,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.01 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),c_Polynomial_OpCons(T_a,V_a,V_q)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),c_Polynomial_OpCons(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q))) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_mult__pCons__left,axiom,
% 53.99/54.01 ! [V_q,V_p,V_a,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.01 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(T_a,V_a,V_p)),V_q) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_q),c_Polynomial_OpCons(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q))) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_minus__poly__code_I1_J,axiom,
% 53.99/54.01 ! [T_a] :
% 53.99/54.01 ( class_Groups_Oab__group__add(T_a)
% 53.99/54.01 => c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_abs__poly__def,axiom,
% 53.99/54.01 ! [V_x,T_a] :
% 53.99/54.01 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.01 => ( ( c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),V_x,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))
% 53.99/54.01 => c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(T_a),V_x) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_x) )
% 53.99/54.01 & ( ~ c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),V_x,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))
% 53.99/54.01 => c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(T_a),V_x) = V_x ) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_diff__poly__code_I1_J,axiom,
% 53.99/54.01 ! [V_q,T_a] :
% 53.99/54.01 ( class_Groups_Oab__group__add(T_a)
% 53.99/54.01 => c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_q) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_diff__poly__code_I2_J,axiom,
% 53.99/54.01 ! [V_p,T_a] :
% 53.99/54.01 ( class_Groups_Oab__group__add(T_a)
% 53.99/54.01 => c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_p,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = V_p ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_mult__poly__0__right,axiom,
% 53.99/54.01 ! [V_p,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.01 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_mult__poly__0__left,axiom,
% 53.99/54.01 ! [V_q,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.01 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),V_q) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_poly__eq__iff,axiom,
% 53.99/54.01 ! [V_qa_2,V_pb_2,T_a] :
% 53.99/54.01 ( ( class_Int_Oring__char__0(T_a)
% 53.99/54.01 & class_Rings_Oidom(T_a) )
% 53.99/54.01 => ( c_Polynomial_Opoly(T_a,V_pb_2) = c_Polynomial_Opoly(T_a,V_qa_2)
% 53.99/54.01 <=> V_pb_2 = V_qa_2 ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_pCons__eq__iff,axiom,
% 53.99/54.01 ! [V_qa_2,V_b_2,V_pb_2,V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Ozero(T_a)
% 53.99/54.01 => ( c_Polynomial_OpCons(T_a,V_aa_2,V_pb_2) = c_Polynomial_OpCons(T_a,V_b_2,V_qa_2)
% 53.99/54.01 <=> ( V_aa_2 = V_b_2
% 53.99/54.01 & V_pb_2 = V_qa_2 ) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_mult__smult__left,axiom,
% 53.99/54.01 ! [V_q,V_p,V_a,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.01 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),c_Polynomial_Osmult(T_a,V_a,V_p)),V_q) = c_Polynomial_Osmult(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_mult__smult__right,axiom,
% 53.99/54.01 ! [V_q,V_a,V_p,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.01 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),c_Polynomial_Osmult(T_a,V_a,V_q)) = c_Polynomial_Osmult(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_smult__minus__right,axiom,
% 53.99/54.01 ! [V_p,V_a,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__ring(T_a)
% 53.99/54.01 => c_Polynomial_Osmult(T_a,V_a,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_p)) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_smult__diff__right,axiom,
% 53.99/54.01 ! [V_q,V_p,V_a,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__ring(T_a)
% 53.99/54.01 => c_Polynomial_Osmult(T_a,V_a,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_p,V_q)) = c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),c_Polynomial_Osmult(T_a,V_a,V_q)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_mult__poly__add__left,axiom,
% 53.99/54.01 ! [V_r,V_q,V_p,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.01 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)),V_r) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_r),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_q),V_r)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_monom__eq__iff,axiom,
% 53.99/54.01 ! [V_b_2,V_n_2,V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Ozero(T_a)
% 53.99/54.01 => ( c_Polynomial_Omonom(T_a,V_aa_2,V_n_2) = c_Polynomial_Omonom(T_a,V_b_2,V_n_2)
% 53.99/54.01 <=> V_aa_2 = V_b_2 ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_poly__mult,axiom,
% 53.99/54.01 ! [V_x,V_q,V_p,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.01 => hAPP(c_Polynomial_Opoly(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q)),V_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Polynomial_Opoly(T_a,V_p),V_x)),hAPP(c_Polynomial_Opoly(T_a,V_q),V_x)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_poly__1,axiom,
% 53.99/54.01 ! [V_x,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.99/54.01 => hAPP(c_Polynomial_Opoly(T_a,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a))),V_x) = c_Groups_Oone__class_Oone(T_a) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_poly__diff,axiom,
% 53.99/54.01 ! [V_x,V_q,V_p,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__ring(T_a)
% 53.99/54.01 => hAPP(c_Polynomial_Opoly(T_a,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_p,V_q)),V_x) = c_Groups_Ominus__class_Ominus(T_a,hAPP(c_Polynomial_Opoly(T_a,V_p),V_x),hAPP(c_Polynomial_Opoly(T_a,V_q),V_x)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_poly__minus,axiom,
% 53.99/54.01 ! [V_x,V_p,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__ring(T_a)
% 53.99/54.01 => hAPP(c_Polynomial_Opoly(T_a,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_p)),V_x) = c_Groups_Ouminus__class_Ouminus(T_a,hAPP(c_Polynomial_Opoly(T_a,V_p),V_x)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_poly__power,axiom,
% 53.99/54.01 ! [V_x,V_n,V_p,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.99/54.01 => hAPP(c_Polynomial_Opoly(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(T_a)),V_p),V_n)),V_x) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Polynomial_Opoly(T_a,V_p),V_x)),V_n) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_diff__pCons,axiom,
% 53.99/54.01 ! [V_q,V_b,V_p,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oab__group__add(T_a)
% 53.99/54.01 => c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),c_Polynomial_OpCons(T_a,V_a,V_p),c_Polynomial_OpCons(T_a,V_b,V_q)) = c_Polynomial_OpCons(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_p,V_q)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_smult__smult,axiom,
% 53.99/54.01 ! [V_p,V_b,V_a,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.01 => c_Polynomial_Osmult(T_a,V_a,c_Polynomial_Osmult(T_a,V_b,V_p)) = c_Polynomial_Osmult(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_p) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_smult__1__left,axiom,
% 53.99/54.01 ! [V_p,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.99/54.01 => c_Polynomial_Osmult(T_a,c_Groups_Oone__class_Oone(T_a),V_p) = V_p ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_minus__poly__code_I2_J,axiom,
% 53.99/54.01 ! [V_p,V_a,T_b] :
% 53.99/54.01 ( class_Groups_Oab__group__add(T_b)
% 53.99/54.01 => c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_b),c_Polynomial_OpCons(T_b,V_a,V_p)) = c_Polynomial_OpCons(T_b,c_Groups_Ouminus__class_Ouminus(T_b,V_a),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_b),V_p)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_minus__pCons,axiom,
% 53.99/54.01 ! [V_p,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oab__group__add(T_a)
% 53.99/54.01 => c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Polynomial_OpCons(T_a,V_a,V_p)) = c_Polynomial_OpCons(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_p)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_smult__diff__left,axiom,
% 53.99/54.01 ! [V_p,V_b,V_a,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__ring(T_a)
% 53.99/54.01 => c_Polynomial_Osmult(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),V_p) = c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),c_Polynomial_Osmult(T_a,V_b,V_p)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_smult__minus__left,axiom,
% 53.99/54.01 ! [V_p,V_a,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__ring(T_a)
% 53.99/54.01 => c_Polynomial_Osmult(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_p) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_poly__zero,axiom,
% 53.99/54.01 ! [V_pb_2,T_a] :
% 53.99/54.01 ( ( class_Int_Oring__char__0(T_a)
% 53.99/54.01 & class_Rings_Oidom(T_a) )
% 53.99/54.01 => ( c_Polynomial_Opoly(T_a,V_pb_2) = c_Polynomial_Opoly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))
% 53.99/54.01 <=> V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_smult__0__right,axiom,
% 53.99/54.01 ! [V_a,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.01 => c_Polynomial_Osmult(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_diff__monom,axiom,
% 53.99/54.01 ! [V_b,V_n,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oab__group__add(T_a)
% 53.99/54.01 => c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),c_Polynomial_Omonom(T_a,V_a,V_n),c_Polynomial_Omonom(T_a,V_b,V_n)) = c_Polynomial_Omonom(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),V_n) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_minus__monom,axiom,
% 53.99/54.01 ! [V_n,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oab__group__add(T_a)
% 53.99/54.01 => c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Polynomial_Omonom(T_a,V_a,V_n)) = c_Polynomial_Omonom(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_n) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__poly__code_I2_J,axiom,
% 53.99/54.01 ! [V_p,T_a] :
% 53.99/54.01 ( class_Groups_Ocomm__monoid__add(T_a)
% 53.99/54.01 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = V_p ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__poly__code_I1_J,axiom,
% 53.99/54.01 ! [V_q,T_a] :
% 53.99/54.01 ( class_Groups_Ocomm__monoid__add(T_a)
% 53.99/54.01 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q) = V_q ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_smult__add__right,axiom,
% 53.99/54.01 ! [V_q,V_p,V_a,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.01 => c_Polynomial_Osmult(T_a,V_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),c_Polynomial_Osmult(T_a,V_a,V_q)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_poly__0,axiom,
% 53.99/54.01 ! [V_x,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.01 => hAPP(c_Polynomial_Opoly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),V_x) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_pCons__eq__0__iff,axiom,
% 53.99/54.01 ! [V_pb_2,V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Ozero(T_a)
% 53.99/54.01 => ( c_Polynomial_OpCons(T_a,V_aa_2,V_pb_2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 53.99/54.01 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.01 & V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_pCons__0__0,axiom,
% 53.99/54.01 ! [T_a] :
% 53.99/54.01 ( class_Groups_Ozero(T_a)
% 53.99/54.01 => c_Polynomial_OpCons(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_smult__0__left,axiom,
% 53.99/54.01 ! [V_p,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.01 => c_Polynomial_Osmult(T_a,c_Groups_Ozero__class_Ozero(T_a),V_p) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_smult__eq__0__iff,axiom,
% 53.99/54.01 ! [V_pb_2,V_aa_2,T_a] :
% 53.99/54.01 ( class_Rings_Oidom(T_a)
% 53.99/54.01 => ( c_Polynomial_Osmult(T_a,V_aa_2,V_pb_2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 53.99/54.01 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.01 | V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_one__poly__def,axiom,
% 53.99/54.01 ! [T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.99/54.01 => c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a)) = c_Polynomial_OpCons(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_poly__smult,axiom,
% 53.99/54.01 ! [V_x,V_p,V_a,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.01 => hAPP(c_Polynomial_Opoly(T_a,c_Polynomial_Osmult(T_a,V_a,V_p)),V_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Polynomial_Opoly(T_a,V_p),V_x)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_smult__pCons,axiom,
% 53.99/54.01 ! [V_p,V_b,V_a,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.01 => c_Polynomial_Osmult(T_a,V_a,c_Polynomial_OpCons(T_a,V_b,V_p)) = c_Polynomial_OpCons(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Polynomial_Osmult(T_a,V_a,V_p)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_mult__monom,axiom,
% 53.99/54.01 ! [V_n,V_b,V_m,V_a,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.01 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),c_Polynomial_Omonom(T_a,V_a,V_m)),c_Polynomial_Omonom(T_a,V_b,V_n)) = c_Polynomial_Omonom(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_monom__eq__0,axiom,
% 53.99/54.01 ! [V_n,T_a] :
% 53.99/54.01 ( class_Groups_Ozero(T_a)
% 53.99/54.01 => c_Polynomial_Omonom(T_a,c_Groups_Ozero__class_Ozero(T_a),V_n) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_monom__eq__0__iff,axiom,
% 53.99/54.01 ! [V_n_2,V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Ozero(T_a)
% 53.99/54.01 => ( c_Polynomial_Omonom(T_a,V_aa_2,V_n_2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 53.99/54.01 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_poly__add,axiom,
% 53.99/54.01 ! [V_x,V_q,V_p,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.01 => hAPP(c_Polynomial_Opoly(T_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)),V_x) = c_Groups_Oplus__class_Oplus(T_a,hAPP(c_Polynomial_Opoly(T_a,V_p),V_x),hAPP(c_Polynomial_Opoly(T_a,V_q),V_x)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__pCons,axiom,
% 53.99/54.01 ! [V_q,V_b,V_p,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Ocomm__monoid__add(T_a)
% 53.99/54.01 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_OpCons(T_a,V_a,V_p),c_Polynomial_OpCons(T_a,V_b,V_q)) = c_Polynomial_OpCons(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_synthetic__div__unique__lemma,axiom,
% 53.99/54.01 ! [V_a,V_p,V_c,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.01 => ( c_Polynomial_Osmult(T_a,V_c,V_p) = c_Polynomial_OpCons(T_a,V_a,V_p)
% 53.99/54.01 => V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_smult__add__left,axiom,
% 53.99/54.01 ! [V_p,V_b,V_a,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.01 => c_Polynomial_Osmult(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_p) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),c_Polynomial_Osmult(T_a,V_b,V_p)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_smult__monom,axiom,
% 53.99/54.01 ! [V_n,V_b,V_a,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.01 => c_Polynomial_Osmult(T_a,V_a,c_Polynomial_Omonom(T_a,V_b,V_n)) = c_Polynomial_Omonom(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_n) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__monom,axiom,
% 53.99/54.01 ! [V_b,V_n,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Ocomm__monoid__add(T_a)
% 53.99/54.01 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Omonom(T_a,V_a,V_n),c_Polynomial_Omonom(T_a,V_b,V_n)) = c_Polynomial_Omonom(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_n) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_poly__pCons,axiom,
% 53.99/54.01 ! [V_x,V_p,V_a,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.01 => hAPP(c_Polynomial_Opoly(T_a,c_Polynomial_OpCons(T_a,V_a,V_p)),V_x) = c_Groups_Oplus__class_Oplus(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(c_Polynomial_Opoly(T_a,V_p),V_x))) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_poly__monom,axiom,
% 53.99/54.01 ! [V_x,V_n,V_a,T_a] :
% 53.99/54.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.99/54.01 => hAPP(c_Polynomial_Opoly(T_a,c_Polynomial_Omonom(T_a,V_a,V_n)),V_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_abs__diff__less__iff,axiom,
% 53.99/54.01 ! [V_r_2,V_aa_2,V_x_2,T_a] :
% 53.99/54.01 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_x_2,V_aa_2)),V_r_2)
% 53.99/54.01 <=> ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_r_2),V_x_2)
% 53.99/54.01 & c_Orderings_Oord__class_Oless(T_a,V_x_2,c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_r_2)) ) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_abs__triangle__ineq4,axiom,
% 53.99/54.01 ! [V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 53.99/54.01 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b)),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b))) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_abs__diff__triangle__ineq,axiom,
% 53.99/54.01 ! [V_d,V_c,V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 53.99/54.01 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Oplus__class_Oplus(T_a,V_c,V_d))),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_c)),c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_b,V_d)))) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_abs__if,axiom,
% 53.99/54.01 ! [V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oabs__if(T_a)
% 53.99/54.01 => ( ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.01 => c_Groups_Oabs__class_Oabs(T_a,V_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_a) )
% 53.99/54.01 & ( ~ c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.01 => c_Groups_Oabs__class_Oabs(T_a,V_a) = V_a ) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_zero__reorient,axiom,
% 53.99/54.01 ! [V_x_2,T_a] :
% 53.99/54.01 ( class_Groups_Ozero(T_a)
% 53.99/54.01 => ( c_Groups_Ozero__class_Ozero(T_a) = V_x_2
% 53.99/54.01 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 53.99/54.01 ! [V_c,V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oab__semigroup__mult(T_a)
% 53.99/54.01 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__right__imp__eq,axiom,
% 53.99/54.01 ! [V_c,V_a,V_b,T_a] :
% 53.99/54.01 ( class_Groups_Ocancel__semigroup__add(T_a)
% 53.99/54.01 => ( c_Groups_Oplus__class_Oplus(T_a,V_b,V_a) = c_Groups_Oplus__class_Oplus(T_a,V_c,V_a)
% 53.99/54.01 => V_b = V_c ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__imp__eq,axiom,
% 53.99/54.01 ! [V_c,V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 53.99/54.01 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)
% 53.99/54.01 => V_b = V_c ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__left__imp__eq,axiom,
% 53.99/54.01 ! [V_c,V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Ocancel__semigroup__add(T_a)
% 53.99/54.01 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)
% 53.99/54.01 => V_b = V_c ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__right__cancel,axiom,
% 53.99/54.01 ! [V_ca_2,V_aa_2,V_b_2,T_a] :
% 53.99/54.01 ( class_Groups_Ocancel__semigroup__add(T_a)
% 53.99/54.01 => ( c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_aa_2) = c_Groups_Oplus__class_Oplus(T_a,V_ca_2,V_aa_2)
% 53.99/54.01 <=> V_b_2 = V_ca_2 ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__left__cancel,axiom,
% 53.99/54.01 ! [V_ca_2,V_b_2,V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Ocancel__semigroup__add(T_a)
% 53.99/54.01 => ( c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_b_2) = c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_ca_2)
% 53.99/54.01 <=> V_b_2 = V_ca_2 ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 53.99/54.01 ! [V_c,V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oab__semigroup__add(T_a)
% 53.99/54.01 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c) = c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_one__reorient,axiom,
% 53.99/54.01 ! [V_x_2,T_a] :
% 53.99/54.01 ( class_Groups_Oone(T_a)
% 53.99/54.01 => ( c_Groups_Oone__class_Oone(T_a) = V_x_2
% 53.99/54.01 <=> V_x_2 = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_diff__eq__diff__eq,axiom,
% 53.99/54.01 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Oab__group__add(T_a)
% 53.99/54.01 => ( c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2) = c_Groups_Ominus__class_Ominus(T_a,V_ca_2,V_d_2)
% 53.99/54.01 => ( V_aa_2 = V_b_2
% 53.99/54.01 <=> V_ca_2 = V_d_2 ) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_minus__minus,axiom,
% 53.99/54.01 ! [V_a,T_a] :
% 53.99/54.01 ( class_Groups_Ogroup__add(T_a)
% 53.99/54.01 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a)) = V_a ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_equation__minus__iff,axiom,
% 53.99/54.01 ! [V_b_2,V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Ogroup__add(T_a)
% 53.99/54.01 => ( V_aa_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2)
% 53.99/54.01 <=> V_b_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_minus__equation__iff,axiom,
% 53.99/54.01 ! [V_b_2,V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Ogroup__add(T_a)
% 53.99/54.01 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) = V_b_2
% 53.99/54.01 <=> c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) = V_aa_2 ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_neg__equal__iff__equal,axiom,
% 53.99/54.01 ! [V_b_2,V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Ogroup__add(T_a)
% 53.99/54.01 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2)
% 53.99/54.01 <=> V_aa_2 = V_b_2 ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_abs__idempotent,axiom,
% 53.99/54.01 ! [V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 53.99/54.01 => c_Groups_Oabs__class_Oabs(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a)) = c_Groups_Oabs__class_Oabs(T_a,V_a) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add_Ocomm__neutral,axiom,
% 53.99/54.01 ! [V_a,T_a] :
% 53.99/54.01 ( class_Groups_Ocomm__monoid__add(T_a)
% 53.99/54.01 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__0__right,axiom,
% 53.99/54.01 ! [V_a,T_a] :
% 53.99/54.01 ( class_Groups_Omonoid__add(T_a)
% 53.99/54.01 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_double__zero__sym,axiom,
% 53.99/54.01 ! [V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Olinordered__ab__group__add(T_a)
% 53.99/54.01 => ( c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2)
% 53.99/54.01 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__0,axiom,
% 53.99/54.01 ! [V_a,T_a] :
% 53.99/54.01 ( class_Groups_Ocomm__monoid__add(T_a)
% 53.99/54.01 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__0__left,axiom,
% 53.99/54.01 ! [V_a,T_a] :
% 53.99/54.01 ( class_Groups_Omonoid__add(T_a)
% 53.99/54.01 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__le__imp__le__left,axiom,
% 53.99/54.01 ! [V_b,V_a,V_c,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_a),c_Groups_Oplus__class_Oplus(T_a,V_c,V_b))
% 53.99/54.01 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__le__imp__le__right,axiom,
% 53.99/54.01 ! [V_b,V_c,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_c))
% 53.99/54.01 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__mono,axiom,
% 53.99/54.01 ! [V_d,V_c,V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 53.99/54.01 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)) ) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__left__mono,axiom,
% 53.99/54.01 ! [V_c,V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 53.99/54.01 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_a),c_Groups_Oplus__class_Oplus(T_a,V_c,V_b)) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__right__mono,axiom,
% 53.99/54.01 ! [V_c,V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 53.99/54.01 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__le__cancel__left,axiom,
% 53.99/54.01 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_ca_2,V_aa_2),c_Groups_Oplus__class_Oplus(T_a,V_ca_2,V_b_2))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__le__cancel__right,axiom,
% 53.99/54.01 ! [V_b_2,V_ca_2,V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_ca_2),c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_ca_2))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__less__imp__less__left,axiom,
% 53.99/54.01 ! [V_b,V_a,V_c,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_a),c_Groups_Oplus__class_Oplus(T_a,V_c,V_b))
% 53.99/54.01 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__less__imp__less__right,axiom,
% 53.99/54.01 ! [V_b,V_c,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_c))
% 53.99/54.01 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__strict__mono,axiom,
% 53.99/54.01 ! [V_d,V_c,V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 53.99/54.01 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)) ) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__strict__left__mono,axiom,
% 53.99/54.01 ! [V_c,V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 53.99/54.01 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_a),c_Groups_Oplus__class_Oplus(T_a,V_c,V_b)) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__strict__right__mono,axiom,
% 53.99/54.01 ! [V_c,V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 53.99/54.01 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__less__cancel__left,axiom,
% 53.99/54.01 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_ca_2,V_aa_2),c_Groups_Oplus__class_Oplus(T_a,V_ca_2,V_b_2))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__less__cancel__right,axiom,
% 53.99/54.01 ! [V_b_2,V_ca_2,V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_ca_2),c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_ca_2))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_diff__0__right,axiom,
% 53.99/54.01 ! [V_a,T_a] :
% 53.99/54.01 ( class_Groups_Ogroup__add(T_a)
% 53.99/54.01 => c_Groups_Ominus__class_Ominus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_diff__self,axiom,
% 53.99/54.01 ! [V_a,T_a] :
% 53.99/54.01 ( class_Groups_Ogroup__add(T_a)
% 53.99/54.01 => c_Groups_Ominus__class_Ominus(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_eq__iff__diff__eq__0,axiom,
% 53.99/54.01 ! [V_b_2,V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Oab__group__add(T_a)
% 53.99/54.01 => ( V_aa_2 = V_b_2
% 53.99/54.01 <=> c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_right__minus__eq,axiom,
% 53.99/54.01 ! [V_b_2,V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Ogroup__add(T_a)
% 53.99/54.01 => ( c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.01 <=> V_aa_2 = V_b_2 ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_diff__eq__diff__less__eq,axiom,
% 53.99/54.01 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add(T_a)
% 53.99/54.01 => ( c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2) = c_Groups_Ominus__class_Ominus(T_a,V_ca_2,V_d_2)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2)
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_ca_2,V_d_2) ) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_diff__eq__diff__less,axiom,
% 53.99/54.01 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add(T_a)
% 53.99/54.01 => ( c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2) = c_Groups_Ominus__class_Ominus(T_a,V_ca_2,V_d_2)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2)
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless(T_a,V_ca_2,V_d_2) ) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_mult_Ocomm__neutral,axiom,
% 53.99/54.01 ! [V_a,T_a] :
% 53.99/54.01 ( class_Groups_Ocomm__monoid__mult(T_a)
% 53.99/54.01 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_mult__1__right,axiom,
% 53.99/54.01 ! [V_a,T_a] :
% 53.99/54.01 ( class_Groups_Omonoid__mult(T_a)
% 53.99/54.01 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_mult__1,axiom,
% 53.99/54.01 ! [V_a,T_a] :
% 53.99/54.01 ( class_Groups_Ocomm__monoid__mult(T_a)
% 53.99/54.01 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_mult__1__left,axiom,
% 53.99/54.01 ! [V_a,T_a] :
% 53.99/54.01 ( class_Groups_Omonoid__mult(T_a)
% 53.99/54.01 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_neg__equal__zero,axiom,
% 53.99/54.01 ! [V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Olinordered__ab__group__add(T_a)
% 53.99/54.01 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) = V_aa_2
% 53.99/54.01 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_neg__equal__0__iff__equal,axiom,
% 53.99/54.01 ! [V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Ogroup__add(T_a)
% 53.99/54.01 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) = c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.01 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_equal__neg__zero,axiom,
% 53.99/54.01 ! [V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Olinordered__ab__group__add(T_a)
% 53.99/54.01 => ( V_aa_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)
% 53.99/54.01 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_neg__0__equal__iff__equal,axiom,
% 53.99/54.01 ! [V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Ogroup__add(T_a)
% 53.99/54.01 => ( c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)
% 53.99/54.01 <=> c_Groups_Ozero__class_Ozero(T_a) = V_aa_2 ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_minus__zero,axiom,
% 53.99/54.01 ! [T_a] :
% 53.99/54.01 ( class_Groups_Ogroup__add(T_a)
% 53.99/54.01 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_le__minus__iff,axiom,
% 53.99/54.01 ! [V_b_2,V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_minus__le__iff,axiom,
% 53.99/54.01 ! [V_b_2,V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_b_2)
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),V_aa_2) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_neg__le__iff__le,axiom,
% 53.99/54.01 ! [V_aa_2,V_b_2,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_le__imp__neg__le,axiom,
% 53.99/54.01 ! [V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 53.99/54.01 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b),c_Groups_Ouminus__class_Ouminus(T_a,V_a)) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__diff__cancel,axiom,
% 53.99/54.01 ! [V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Ogroup__add(T_a)
% 53.99/54.01 => c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_b) = V_a ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_diff__add__cancel,axiom,
% 53.99/54.01 ! [V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Ogroup__add(T_a)
% 53.99/54.01 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),V_b) = V_a ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_neg__less__iff__less,axiom,
% 53.99/54.01 ! [V_aa_2,V_b_2,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_minus__less__iff,axiom,
% 53.99/54.01 ! [V_b_2,V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_b_2)
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),V_aa_2) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_less__minus__iff,axiom,
% 53.99/54.01 ! [V_b_2,V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless(T_a,V_b_2,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_minus__add__distrib,axiom,
% 53.99/54.01 ! [V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oab__group__add(T_a)
% 53.99/54.01 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Groups_Ouminus__class_Ouminus(T_a,V_b)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_minus__add,axiom,
% 53.99/54.01 ! [V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Ogroup__add(T_a)
% 53.99/54.01 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b),c_Groups_Ouminus__class_Ouminus(T_a,V_a)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__minus__cancel,axiom,
% 53.99/54.01 ! [V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Ogroup__add(T_a)
% 53.99/54.01 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_b)) = V_b ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_minus__add__cancel,axiom,
% 53.99/54.01 ! [V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Ogroup__add(T_a)
% 53.99/54.01 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)) = V_b ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_minus__diff__eq,axiom,
% 53.99/54.01 ! [V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oab__group__add(T_a)
% 53.99/54.01 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b)) = c_Groups_Ominus__class_Ominus(T_a,V_b,V_a) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_abs__eq__0,axiom,
% 53.99/54.01 ! [V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 53.99/54.01 => ( c_Groups_Oabs__class_Oabs(T_a,V_aa_2) = c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.01 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_abs__zero,axiom,
% 53.99/54.01 ! [T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 53.99/54.01 => c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_abs__ge__self,axiom,
% 53.99/54.01 ! [V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 53.99/54.01 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Oabs__class_Oabs(T_a,V_a)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_abs__le__D1,axiom,
% 53.99/54.01 ! [V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),V_b)
% 53.99/54.01 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_abs__add__abs,axiom,
% 53.99/54.01 ! [V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 53.99/54.01 => c_Groups_Oabs__class_Oabs(T_a,c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b))) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_abs__minus__commute,axiom,
% 53.99/54.01 ! [V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 53.99/54.01 => c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b)) = c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_b,V_a)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_abs__minus__cancel,axiom,
% 53.99/54.01 ! [V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 53.99/54.01 => c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a)) = c_Groups_Oabs__class_Oabs(T_a,V_a) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__nonpos__nonpos,axiom,
% 53.99/54.01 ! [V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.01 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__increasing2,axiom,
% 53.99/54.01 ! [V_a,V_b,V_c,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 53.99/54.01 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__increasing,axiom,
% 53.99/54.01 ! [V_c,V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c)
% 53.99/54.01 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__nonneg__eq__0__iff,axiom,
% 53.99/54.01 ! [V_y_2,V_x_2,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y_2)
% 53.99/54.01 => ( c_Groups_Oplus__class_Oplus(T_a,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.01 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.01 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__nonneg__nonneg,axiom,
% 53.99/54.01 ! [V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 53.99/54.01 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)) ) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 53.99/54.01 ! [V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Olinordered__ab__group__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 53.99/54.01 ! [V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Olinordered__ab__group__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 53.99/54.01 ! [V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Olinordered__ab__group__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 53.99/54.01 ! [V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Olinordered__ab__group__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__pos__pos,axiom,
% 53.99/54.01 ! [V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 53.99/54.01 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)) ) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__neg__neg,axiom,
% 53.99/54.01 ! [V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.01 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__le__less__mono,axiom,
% 53.99/54.01 ! [V_d,V_c,V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 53.99/54.01 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)) ) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_add__less__le__mono,axiom,
% 53.99/54.01 ! [V_d,V_c,V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 53.99/54.01 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)) ) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_le__iff__diff__le__0,axiom,
% 53.99/54.01 ! [V_b_2,V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2)
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2),c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_less__iff__diff__less__0,axiom,
% 53.99/54.01 ! [V_b_2,V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2)
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2),c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_neg__0__le__iff__le,axiom,
% 53.99/54.01 ! [V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_le__minus__self__iff,axiom,
% 53.99/54.01 ! [V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Olinordered__ab__group__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_neg__le__0__iff__le,axiom,
% 53.99/54.01 ! [V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_minus__le__self__iff,axiom,
% 53.99/54.01 ! [V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Olinordered__ab__group__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_aa_2)
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_neg__0__less__iff__less,axiom,
% 53.99/54.01 ! [V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_neg__less__0__iff__less,axiom,
% 53.99/54.01 ! [V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_neg__less__nonneg,axiom,
% 53.99/54.01 ! [V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Olinordered__ab__group__add(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_aa_2)
% 53.99/54.01 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_right__minus,axiom,
% 53.99/54.01 ! [V_a,T_a] :
% 53.99/54.01 ( class_Groups_Ogroup__add(T_a)
% 53.99/54.01 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 53.99/54.01 ! [V_b_2,V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Ogroup__add(T_a)
% 53.99/54.01 => ( V_aa_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2)
% 53.99/54.01 <=> c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_left__minus,axiom,
% 53.99/54.01 ! [V_a,T_a] :
% 53.99/54.01 ( class_Groups_Ogroup__add(T_a)
% 53.99/54.01 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_ab__left__minus,axiom,
% 53.99/54.01 ! [V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oab__group__add(T_a)
% 53.99/54.01 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_minus__unique,axiom,
% 53.99/54.01 ! [V_b,V_a,T_a] :
% 53.99/54.01 ( class_Groups_Ogroup__add(T_a)
% 53.99/54.01 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.01 => c_Groups_Ouminus__class_Ouminus(T_a,V_a) = V_b ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_diff__0,axiom,
% 53.99/54.01 ! [V_a,T_a] :
% 53.99/54.01 ( class_Groups_Ogroup__add(T_a)
% 53.99/54.01 => c_Groups_Ominus__class_Ominus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_a) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_abs__ge__zero,axiom,
% 53.99/54.01 ! [V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 53.99/54.01 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_abs__le__zero__iff,axiom,
% 53.99/54.01 ! [V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.01 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_abs__of__nonneg,axiom,
% 53.99/54.01 ! [V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/54.01 => c_Groups_Oabs__class_Oabs(T_a,V_a) = V_a ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_abs__not__less__zero,axiom,
% 53.99/54.01 ! [V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 53.99/54.01 => ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_zero__less__abs__iff,axiom,
% 53.99/54.01 ! [V_aa_2,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 53.99/54.01 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oabs__class_Oabs(T_a,V_aa_2))
% 53.99/54.01 <=> V_aa_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 53.99/54.01
% 53.99/54.01 fof(fact_abs__of__pos,axiom,
% 53.99/54.01 ! [V_a,T_a] :
% 53.99/54.01 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/54.02 => c_Groups_Oabs__class_Oabs(T_a,V_a) = V_a ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_diff__minus__eq__add,axiom,
% 53.99/54.02 ! [V_b,V_a,T_a] :
% 53.99/54.02 ( class_Groups_Ogroup__add(T_a)
% 53.99/54.02 => c_Groups_Ominus__class_Ominus(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b)) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_ab__diff__minus,axiom,
% 53.99/54.02 ! [V_b,V_a,T_a] :
% 53.99/54.02 ( class_Groups_Oab__group__add(T_a)
% 53.99/54.02 => c_Groups_Ominus__class_Ominus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_diff__def,axiom,
% 53.99/54.02 ! [V_b,V_a,T_a] :
% 53.99/54.02 ( class_Groups_Ogroup__add(T_a)
% 53.99/54.02 => c_Groups_Ominus__class_Ominus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_abs__triangle__ineq,axiom,
% 53.99/54.02 ! [V_b,V_a,T_a] :
% 53.99/54.02 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b))) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_abs__triangle__ineq2__sym,axiom,
% 53.99/54.02 ! [V_b,V_a,T_a] :
% 53.99/54.02 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b)),c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_b,V_a))) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_abs__triangle__ineq2,axiom,
% 53.99/54.02 ! [V_b,V_a,T_a] :
% 53.99/54.02 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b)),c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b))) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_abs__triangle__ineq3,axiom,
% 53.99/54.02 ! [V_b,V_a,T_a] :
% 53.99/54.02 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b))),c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b))) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_abs__ge__minus__self,axiom,
% 53.99/54.02 ! [V_a,T_a] :
% 53.99/54.02 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_a)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_abs__le__iff,axiom,
% 53.99/54.02 ! [V_b_2,V_aa_2,T_a] :
% 53.99/54.02 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_aa_2),V_b_2)
% 53.99/54.02 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2)
% 53.99/54.02 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_b_2) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_abs__leI,axiom,
% 53.99/54.02 ! [V_b,V_a,T_a] :
% 53.99/54.02 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_b)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),V_b) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_abs__le__D2,axiom,
% 53.99/54.02 ! [V_b,V_a,T_a] :
% 53.99/54.02 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),V_b)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_b) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_add__nonpos__neg,axiom,
% 53.99/54.02 ! [V_b,V_a,T_a] :
% 53.99/54.02 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.02 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_add__neg__nonpos,axiom,
% 53.99/54.02 ! [V_b,V_a,T_a] :
% 53.99/54.02 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.02 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_add__strict__increasing2,axiom,
% 53.99/54.02 ! [V_c,V_b,V_a,T_a] :
% 53.99/54.02 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c)
% 53.99/54.02 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_add__strict__increasing,axiom,
% 53.99/54.02 ! [V_c,V_b,V_a,T_a] :
% 53.99/54.02 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c)
% 53.99/54.02 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_add__nonneg__pos,axiom,
% 53.99/54.02 ! [V_b,V_a,T_a] :
% 53.99/54.02 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 53.99/54.02 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_add__pos__nonneg,axiom,
% 53.99/54.02 ! [V_b,V_a,T_a] :
% 53.99/54.02 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 53.99/54.02 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_abs__of__nonpos,axiom,
% 53.99/54.02 ! [V_a,T_a] :
% 53.99/54.02 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.02 => c_Groups_Oabs__class_Oabs(T_a,V_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_a) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_abs__minus__le__zero,axiom,
% 53.99/54.02 ! [V_a,T_a] :
% 53.99/54.02 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a)),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_abs__of__neg,axiom,
% 53.99/54.02 ! [V_a,T_a] :
% 53.99/54.02 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.02 => c_Groups_Oabs__class_Oabs(T_a,V_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_a) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_synthetic__div__correct_H,axiom,
% 53.99/54.02 ! [V_p,V_c,T_a] :
% 53.99/54.02 ( class_Rings_Ocomm__ring__1(T_a)
% 53.99/54.02 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_c),c_Polynomial_OpCons(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))),c_Polynomial_Osynthetic__div(T_a,V_p,V_c)),c_Polynomial_OpCons(T_a,hAPP(c_Polynomial_Opoly(T_a,V_p),V_c),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))) = V_p ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_reduce__poly__simple,axiom,
% 53.99/54.02 ! [V_n,V_b] :
% 53.99/54.02 ( V_b != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 53.99/54.02 => ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 53.99/54.02 => ? [B_z] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),V_b),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),B_z),V_n)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zero__less__power__nat__eq,axiom,
% 53.99/54.02 ! [V_n_2,V_x_2] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_n_2))
% 53.99/54.02 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 53.99/54.02 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_synthetic__div__0,axiom,
% 53.99/54.02 ! [V_c,T_a] :
% 53.99/54.02 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.02 => c_Polynomial_Osynthetic__div(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_c) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_synthetic__div__pCons,axiom,
% 53.99/54.02 ! [V_c,V_p,V_a,T_a] :
% 53.99/54.02 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.02 => c_Polynomial_Osynthetic__div(T_a,c_Polynomial_OpCons(T_a,V_a,V_p),V_c) = c_Polynomial_OpCons(T_a,hAPP(c_Polynomial_Opoly(T_a,V_p),V_c),c_Polynomial_Osynthetic__div(T_a,V_p,V_c)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_synthetic__div__correct,axiom,
% 53.99/54.02 ! [V_c,V_p,T_a] :
% 53.99/54.02 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.02 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,c_Polynomial_Osmult(T_a,V_c,c_Polynomial_Osynthetic__div(T_a,V_p,V_c))) = c_Polynomial_OpCons(T_a,hAPP(c_Polynomial_Opoly(T_a,V_p),V_c),c_Polynomial_Osynthetic__div(T_a,V_p,V_c)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_synthetic__div__unique,axiom,
% 53.99/54.02 ! [V_r,V_q,V_c,V_p,T_a] :
% 53.99/54.02 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.02 => ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,c_Polynomial_Osmult(T_a,V_c,V_q)) = c_Polynomial_OpCons(T_a,V_r,V_q)
% 53.99/54.02 => ( V_r = hAPP(c_Polynomial_Opoly(T_a,V_p),V_c)
% 53.99/54.02 & V_q = c_Polynomial_Osynthetic__div(T_a,V_p,V_c) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_not__real__square__gt__zero,axiom,
% 53.99/54.02 ! [V_x_2] :
% 53.99/54.02 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_x_2))
% 53.99/54.02 <=> V_x_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_pcompose__pCons,axiom,
% 53.99/54.02 ! [V_q,V_p,V_a,T_a] :
% 53.99/54.02 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.02 => c_Polynomial_Opcompose(T_a,c_Polynomial_OpCons(T_a,V_a,V_p),V_q) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_OpCons(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_q),c_Polynomial_Opcompose(T_a,V_p,V_q))) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_pcompose__0,axiom,
% 53.99/54.02 ! [V_q,T_a] :
% 53.99/54.02 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.02 => c_Polynomial_Opcompose(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_poly__pcompose,axiom,
% 53.99/54.02 ! [V_x,V_q,V_p,T_a] :
% 53.99/54.02 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.02 => hAPP(c_Polynomial_Opoly(T_a,c_Polynomial_Opcompose(T_a,V_p,V_q)),V_x) = hAPP(c_Polynomial_Opoly(T_a,V_p),hAPP(c_Polynomial_Opoly(T_a,V_q),V_x)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_even__less__0__iff,axiom,
% 53.99/54.02 ! [V_aa_2,T_a] :
% 53.99/54.02 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.02 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_of__real_Opos__bounded,axiom,
% 53.99/54.02 ! [T_a] :
% 53.99/54.02 ( ( class_RealVector_Oreal__algebra__1(T_a)
% 53.99/54.02 & class_RealVector_Oreal__normed__vector(T_a) )
% 53.99/54.02 => ? [B_K] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K)
% 53.99/54.02 & ! [B_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_RealVector_Oof__real(T_a,B_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,B_x)),B_K)) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zero__less__zpower__abs__iff,axiom,
% 53.99/54.02 ! [V_n_2,V_x_2] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_x_2)),V_n_2))
% 53.99/54.02 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 53.99/54.02 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zpower__zadd__distrib,axiom,
% 53.99/54.02 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_z)) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zpower__zpower,axiom,
% 53.99/54.02 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),V_z) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y),V_z)) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_double__eq__0__iff,axiom,
% 53.99/54.02 ! [V_aa_2,T_a] :
% 53.99/54.02 ( class_Groups_Olinordered__ab__group__add(T_a)
% 53.99/54.02 => ( c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2) = c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.02 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_unimodular__reduce__norm,axiom,
% 53.99/54.02 ! [V_z] :
% 53.99/54.02 ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_z) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_z,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 53.99/54.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,V_z,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 53.99/54.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_z,c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 53.99/54.02 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,V_z,c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_order__root,axiom,
% 53.99/54.02 ! [V_aa_2,V_pb_2,T_a] :
% 53.99/54.02 ( class_Rings_Oidom(T_a)
% 53.99/54.02 => ( hAPP(c_Polynomial_Opoly(T_a,V_pb_2),V_aa_2) = c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.02 <=> ( V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 53.99/54.02 | c_Polynomial_Oorder(T_a,V_aa_2,V_pb_2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zmult__1__right,axiom,
% 53.99/54.02 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zmult__1,axiom,
% 53.99/54.02 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 53.99/54.02
% 53.99/54.02 fof(fact_pos__zmult__eq__1__iff,axiom,
% 53.99/54.02 ! [V_n_2,V_ma_2] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_ma_2)
% 53.99/54.02 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_ma_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 53.99/54.02 <=> ( V_ma_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 53.99/54.02 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zmult__zless__mono2,axiom,
% 53.99/54.02 ! [V_k,V_j,V_i] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k)
% 53.99/54.02 => c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_i),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_j)) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_abs__zmult__eq__1,axiom,
% 53.99/54.02 ! [V_n,V_m] :
% 53.99/54.02 ( c_Groups_Oabs__class_Oabs(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n)) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 53.99/54.02 => c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zdiff__zmult__distrib,axiom,
% 53.99/54.02 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z1,V_z2)),V_w) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w)) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zmult__zminus,axiom,
% 53.99/54.02 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z)),V_w) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w)) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zdiff__zmult__distrib2,axiom,
% 53.99/54.02 ! [V_z2,V_z1,V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z1,V_z2)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2)) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zero__le__zpower__abs,axiom,
% 53.99/54.02 ! [V_n,V_x] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_x)),V_n)) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zminus__0,axiom,
% 53.99/54.02 c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zabs__def,axiom,
% 53.99/54.02 ! [V_i] :
% 53.99/54.02 ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 53.99/54.02 => c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_i) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_i) )
% 53.99/54.02 & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 53.99/54.02 => c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_i) = V_i ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_less__bin__lemma,axiom,
% 53.99/54.02 ! [V_l_2,V_ka_2] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_ka_2,V_l_2)
% 53.99/54.02 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_ka_2,V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zle__diff1__eq,axiom,
% 53.99/54.02 ! [V_z_2,V_wa_2] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_wa_2,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 53.99/54.02 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,V_z_2) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zabs__less__one__iff,axiom,
% 53.99/54.02 ! [V_z_2] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint))
% 53.99/54.02 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_int__one__le__iff__zero__less,axiom,
% 53.99/54.02 ! [V_z_2] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z_2)
% 53.99/54.02 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_int__0__less__1,axiom,
% 53.99/54.02 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_int__0__neq__1,axiom,
% 53.99/54.02 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zless__le,axiom,
% 53.99/54.02 ! [V_wa_2,V_z_2] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,V_wa_2)
% 53.99/54.02 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_2,V_wa_2)
% 53.99/54.02 & V_z_2 != V_wa_2 ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zless__linear,axiom,
% 53.99/54.02 ! [V_y,V_x] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_x,V_y)
% 53.99/54.02 | V_x = V_y
% 53.99/54.02 | c_Orderings_Oord__class_Oless(tc_Int_Oint,V_y,V_x) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zadd__zless__mono,axiom,
% 53.99/54.02 ! [V_z,V_z_H,V_w,V_w_H] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_H,V_w)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_H,V_z)
% 53.99/54.02 => c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w_H,V_z_H),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w,V_z)) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zadd__strict__right__mono,axiom,
% 53.99/54.02 ! [V_k,V_j,V_i] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j)
% 53.99/54.02 => c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_i,V_k),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_j,V_k)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zless__imp__add1__zle,axiom,
% 53.99/54.02 ! [V_z,V_w] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w,V_z)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w,c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_add1__zle__eq,axiom,
% 53.99/54.02 ! [V_z_2,V_wa_2] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_wa_2,c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)
% 53.99/54.02 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,V_z_2) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zless__add1__eq,axiom,
% 53.99/54.02 ! [V_z_2,V_wa_2] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 53.99/54.02 <=> ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,V_z_2)
% 53.99/54.02 | V_wa_2 = V_z_2 ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zle__add1__eq__le,axiom,
% 53.99/54.02 ! [V_z_2,V_wa_2] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 53.99/54.02 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_wa_2,V_z_2) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_odd__nonzero,axiom,
% 53.99/54.02 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z),V_z) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_odd__less__0,axiom,
% 53.99/54.02 ! [V_z_2] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z_2),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 53.99/54.02 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_le__imp__0__less,axiom,
% 53.99/54.02 ! [V_z] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z)
% 53.99/54.02 => c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zadd__zminus__inverse2,axiom,
% 53.99/54.02 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z),V_z) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zadd__0__right,axiom,
% 53.99/54.02 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zadd__0,axiom,
% 53.99/54.02 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z) = V_z ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zmult__commute,axiom,
% 53.99/54.02 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zmult__assoc,axiom,
% 53.99/54.02 ! [V_z3,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_z2)),V_z3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_z3)) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zadd__zmult__distrib,axiom,
% 53.99/54.02 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z1,V_z2)),V_w) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w)) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zadd__zmult__distrib2,axiom,
% 53.99/54.02 ! [V_z2,V_z1,V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z1,V_z2)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2)) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_complex__i__not__one,axiom,
% 53.99/54.02 c_Complex_Oii != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_complex__i__not__zero,axiom,
% 53.99/54.02 c_Complex_Oii != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_complex__i__mult__minus,axiom,
% 53.99/54.02 ! [V_x] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Oii),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Oii),V_x)) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,V_x) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_inverse__i,axiom,
% 53.99/54.02 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,c_Complex_Oii) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Complex_Oii) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_i__mult__eq2,axiom,
% 53.99/54.02 hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Oii),c_Complex_Oii) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_decr__lemma,axiom,
% 53.99/54.02 ! [V_z,V_x,V_d] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_d)
% 53.99/54.02 => c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_z)),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_d)),V_z) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_incr__lemma,axiom,
% 53.99/54.02 ! [V_x,V_z,V_d] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_d)
% 53.99/54.02 => c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_z)),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_d))) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zle__refl,axiom,
% 53.99/54.02 ! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_w) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zle__linear,axiom,
% 53.99/54.02 ! [V_w,V_z] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z,V_w)
% 53.99/54.02 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_z) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zle__trans,axiom,
% 53.99/54.02 ! [V_k,V_j,V_i] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_j)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_j,V_k)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_k) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zle__antisym,axiom,
% 53.99/54.02 ! [V_w,V_z] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z,V_w)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_z)
% 53.99/54.02 => V_z = V_w ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zadd__left__mono,axiom,
% 53.99/54.02 ! [V_k,V_j,V_i] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_j)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_k,V_i),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_k,V_j)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zadd__assoc,axiom,
% 53.99/54.02 ! [V_z3,V_z2,V_z1] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z1,V_z2),V_z3) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z2,V_z3)) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zadd__left__commute,axiom,
% 53.99/54.02 ! [V_z,V_y,V_x] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_y,V_z)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_y,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x,V_z)) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zadd__commute,axiom,
% 53.99/54.02 ! [V_w,V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,V_w) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w,V_z) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zminus__zadd__distrib,axiom,
% 53.99/54.02 ! [V_w,V_z] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,V_w)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_w)) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_diff__int__def,axiom,
% 53.99/54.02 ! [V_w,V_z] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z,V_w) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_w)) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_diff__int__def__symmetric,axiom,
% 53.99/54.02 ! [V_w,V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_w)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z,V_w) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zminus__zminus,axiom,
% 53.99/54.02 ! [V_z] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z)) = V_z ).
% 53.99/54.02
% 53.99/54.02 fof(fact_self__quotient__aux1,axiom,
% 53.99/54.02 ! [V_q,V_r,V_a] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)
% 53.99/54.02 => ( V_a = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_r,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q))
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_a)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_q) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_self__quotient__aux2,axiom,
% 53.99/54.02 ! [V_q,V_r,V_a] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)
% 53.99/54.02 => ( V_a = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_r,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q))
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_q__pos__lemma,axiom,
% 53.99/54.02 ! [V_r_H,V_q_H,V_b_H] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H))
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_q_H) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_q__neg__lemma,axiom,
% 53.99/54.02 ! [V_r_H,V_q_H,V_b_H] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_unique__quotient__lemma,axiom,
% 53.99/54.02 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H),V_r_H),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q),V_r))
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,V_q) ) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zdiv__mono2__lemma,axiom,
% 53.99/54.02 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 53.99/54.02 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q),V_r) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H))
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,V_q_H) ) ) ) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_unique__quotient__lemma__neg,axiom,
% 53.99/54.02 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H),V_r_H),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q),V_r))
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_r,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r_H)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,V_q_H) ) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 53.99/54.02 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 53.99/54.02 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q),V_r) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,V_q) ) ) ) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 53.99/54.02 ! [V_n,V_x] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 53.99/54.02 ! [V_y,V_x] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 53.99/54.02 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 53.99/54.02 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 53.99/54.02 ! [V_y,V_x] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x,V_y)) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact__096_B_Bthesis_O_A_I_B_Bm_O_A_091_124_A0_A_060_Am_059_AALL_Az_O_Acmod_Az_A_060_061_Acmod_Aw_A_N_N_062_Acmod_A_Ipoly_As_Az_J_A_060_061_Am_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096,axiom,
% 53.99/54.02 ~ ! [B_m] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_m)
% 53.99/54.02 => ~ ! [B_z] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),B_z)),B_m) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_order__refl,axiom,
% 53.99/54.02 ! [V_x,T_a] :
% 53.99/54.02 ( class_Orderings_Opreorder(T_a)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_x) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_linorder__le__cases,axiom,
% 53.99/54.02 ! [V_y,V_x,T_a] :
% 53.99/54.02 ( class_Orderings_Olinorder(T_a)
% 53.99/54.02 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_le__funE,axiom,
% 53.99/54.02 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] :
% 53.99/54.02 ( class_Orderings_Oord(T_b)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_xt1_I6_J,axiom,
% 53.99/54.02 ! [V_z,V_x,V_y,T_a] :
% 53.99/54.02 ( class_Orderings_Oorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_y)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_x) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_xt1_I5_J,axiom,
% 53.99/54.02 ! [V_x,V_y,T_a] :
% 53.99/54.02 ( class_Orderings_Oorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 53.99/54.02 => V_x = V_y ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_order__trans,axiom,
% 53.99/54.02 ! [V_z,V_y,V_x,T_a] :
% 53.99/54.02 ( class_Orderings_Opreorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_z)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_z) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_order__antisym,axiom,
% 53.99/54.02 ! [V_y,V_x,T_a] :
% 53.99/54.02 ( class_Orderings_Oorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 53.99/54.02 => V_x = V_y ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_xt1_I4_J,axiom,
% 53.99/54.02 ! [V_c,V_a,V_b,T_a] :
% 53.99/54.02 ( class_Orderings_Oorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 53.99/54.02 => ( V_b = V_c
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_a) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_ord__le__eq__trans,axiom,
% 53.99/54.02 ! [V_c,V_b,V_a,T_a] :
% 53.99/54.02 ( class_Orderings_Oord(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 53.99/54.02 => ( V_b = V_c
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_xt1_I3_J,axiom,
% 53.99/54.02 ! [V_c,V_b,V_a,T_a] :
% 53.99/54.02 ( class_Orderings_Oorder(T_a)
% 53.99/54.02 => ( V_a = V_b
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_b)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_a) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_ord__eq__le__trans,axiom,
% 53.99/54.02 ! [V_c,V_b,V_a,T_a] :
% 53.99/54.02 ( class_Orderings_Oord(T_a)
% 53.99/54.02 => ( V_a = V_b
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_order__antisym__conv,axiom,
% 53.99/54.02 ! [V_x_2,V_y_2,T_a] :
% 53.99/54.02 ( class_Orderings_Oorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 53.99/54.02 <=> V_x_2 = V_y_2 ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_le__funD,axiom,
% 53.99/54.02 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] :
% 53.99/54.02 ( class_Orderings_Oord(T_b)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_order__eq__refl,axiom,
% 53.99/54.02 ! [V_y,V_x,T_a] :
% 53.99/54.02 ( class_Orderings_Opreorder(T_a)
% 53.99/54.02 => ( V_x = V_y
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_order__eq__iff,axiom,
% 53.99/54.02 ! [V_y_2,V_x_2,T_a] :
% 53.99/54.02 ( class_Orderings_Oorder(T_a)
% 53.99/54.02 => ( V_x_2 = V_y_2
% 53.99/54.02 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 53.99/54.02 & c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_linorder__linear,axiom,
% 53.99/54.02 ! [V_y,V_x,T_a] :
% 53.99/54.02 ( class_Orderings_Olinorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 53.99/54.02 | c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_le__fun__def,axiom,
% 53.99/54.02 ! [V_g_2,V_f_2,T_a,T_b] :
% 53.99/54.02 ( class_Orderings_Oord(T_b)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 53.99/54.02 <=> ! [B_x] : c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,B_x),hAPP(V_g_2,B_x)) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_order__less__irrefl,axiom,
% 53.99/54.02 ! [V_x,T_a] :
% 53.99/54.02 ( class_Orderings_Opreorder(T_a)
% 53.99/54.02 => ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_x) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_linorder__neq__iff,axiom,
% 53.99/54.02 ! [V_y_2,V_x_2,T_a] :
% 53.99/54.02 ( class_Orderings_Olinorder(T_a)
% 53.99/54.02 => ( V_x_2 != V_y_2
% 53.99/54.02 <=> ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 53.99/54.02 | c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_not__less__iff__gr__or__eq,axiom,
% 53.99/54.02 ! [V_y_2,V_x_2,T_a] :
% 53.99/54.02 ( class_Orderings_Olinorder(T_a)
% 53.99/54.02 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 53.99/54.02 <=> ( c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2)
% 53.99/54.02 | V_x_2 = V_y_2 ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_linorder__less__linear,axiom,
% 53.99/54.02 ! [V_y,V_x,T_a] :
% 53.99/54.02 ( class_Orderings_Olinorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 53.99/54.02 | V_x = V_y
% 53.99/54.02 | c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_linorder__antisym__conv3,axiom,
% 53.99/54.02 ! [V_x_2,V_y_2,T_a] :
% 53.99/54.02 ( class_Orderings_Olinorder(T_a)
% 53.99/54.02 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2)
% 53.99/54.02 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 53.99/54.02 <=> V_x_2 = V_y_2 ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_linorder__neqE,axiom,
% 53.99/54.02 ! [V_y,V_x,T_a] :
% 53.99/54.02 ( class_Orderings_Olinorder(T_a)
% 53.99/54.02 => ( V_x != V_y
% 53.99/54.02 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 53.99/54.02 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_less__imp__neq,axiom,
% 53.99/54.02 ! [V_y,V_x,T_a] :
% 53.99/54.02 ( class_Orderings_Oorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 53.99/54.02 => V_x != V_y ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_order__less__not__sym,axiom,
% 53.99/54.02 ! [V_y,V_x,T_a] :
% 53.99/54.02 ( class_Orderings_Opreorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 53.99/54.02 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_order__less__imp__not__less,axiom,
% 53.99/54.02 ! [V_y,V_x,T_a] :
% 53.99/54.02 ( class_Orderings_Opreorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 53.99/54.02 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_order__less__imp__not__eq,axiom,
% 53.99/54.02 ! [V_y,V_x,T_a] :
% 53.99/54.02 ( class_Orderings_Oorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 53.99/54.02 => V_x != V_y ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_order__less__imp__not__eq2,axiom,
% 53.99/54.02 ! [V_y,V_x,T_a] :
% 53.99/54.02 ( class_Orderings_Oorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 53.99/54.02 => V_y != V_x ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_order__less__asym_H,axiom,
% 53.99/54.02 ! [V_b,V_a,T_a] :
% 53.99/54.02 ( class_Orderings_Opreorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 53.99/54.02 => ~ c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_xt1_I9_J,axiom,
% 53.99/54.02 ! [V_a,V_b,T_a] :
% 53.99/54.02 ( class_Orderings_Oorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 53.99/54.02 => ~ c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_ord__eq__less__trans,axiom,
% 53.99/54.02 ! [V_c,V_b,V_a,T_a] :
% 53.99/54.02 ( class_Orderings_Oord(T_a)
% 53.99/54.02 => ( V_a = V_b
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c)
% 53.99/54.02 => c_Orderings_Oord__class_Oless(T_a,V_a,V_c) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_xt1_I1_J,axiom,
% 53.99/54.02 ! [V_c,V_b,V_a,T_a] :
% 53.99/54.02 ( class_Orderings_Oorder(T_a)
% 53.99/54.02 => ( V_a = V_b
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_b)
% 53.99/54.02 => c_Orderings_Oord__class_Oless(T_a,V_c,V_a) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_ord__less__eq__trans,axiom,
% 53.99/54.02 ! [V_c,V_b,V_a,T_a] :
% 53.99/54.02 ( class_Orderings_Oord(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 53.99/54.02 => ( V_b = V_c
% 53.99/54.02 => c_Orderings_Oord__class_Oless(T_a,V_a,V_c) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_xt1_I2_J,axiom,
% 53.99/54.02 ! [V_c,V_a,V_b,T_a] :
% 53.99/54.02 ( class_Orderings_Oorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 53.99/54.02 => ( V_b = V_c
% 53.99/54.02 => c_Orderings_Oord__class_Oless(T_a,V_c,V_a) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_order__less__trans,axiom,
% 53.99/54.02 ! [V_z,V_y,V_x,T_a] :
% 53.99/54.02 ( class_Orderings_Opreorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_z)
% 53.99/54.02 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_xt1_I10_J,axiom,
% 53.99/54.02 ! [V_z,V_x,V_y,T_a] :
% 53.99/54.02 ( class_Orderings_Oorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_x)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,V_z,V_y)
% 53.99/54.02 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_order__less__asym,axiom,
% 53.99/54.02 ! [V_y,V_x,T_a] :
% 53.99/54.02 ( class_Orderings_Opreorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 53.99/54.02 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_linorder__cases,axiom,
% 53.99/54.02 ! [V_y,V_x,T_a] :
% 53.99/54.02 ( class_Orderings_Olinorder(T_a)
% 53.99/54.02 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 53.99/54.02 => ( V_x != V_y
% 53.99/54.02 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_xt1_I8_J,axiom,
% 53.99/54.02 ! [V_z,V_x,V_y,T_a] :
% 53.99/54.02 ( class_Orderings_Oorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,V_z,V_y)
% 53.99/54.02 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_order__le__less__trans,axiom,
% 53.99/54.02 ! [V_z,V_y,V_x,T_a] :
% 53.99/54.02 ( class_Orderings_Opreorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_z)
% 53.99/54.02 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_xt1_I7_J,axiom,
% 53.99/54.02 ! [V_z,V_x,V_y,T_a] :
% 53.99/54.02 ( class_Orderings_Oorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_x)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_y)
% 53.99/54.02 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_order__less__le__trans,axiom,
% 53.99/54.02 ! [V_z,V_y,V_x,T_a] :
% 53.99/54.02 ( class_Orderings_Opreorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_z)
% 53.99/54.02 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_xt1_I11_J,axiom,
% 53.99/54.02 ! [V_a,V_b,T_a] :
% 53.99/54.02 ( class_Orderings_Oorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 53.99/54.02 => ( V_a != V_b
% 53.99/54.02 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_order__le__neq__trans,axiom,
% 53.99/54.02 ! [V_b,V_a,T_a] :
% 53.99/54.02 ( class_Orderings_Oorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 53.99/54.02 => ( V_a != V_b
% 53.99/54.02 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_order__le__imp__less__or__eq,axiom,
% 53.99/54.02 ! [V_y,V_x,T_a] :
% 53.99/54.02 ( class_Orderings_Oorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 53.99/54.02 | V_x = V_y ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_linorder__antisym__conv2,axiom,
% 53.99/54.02 ! [V_y_2,V_x_2,T_a] :
% 53.99/54.02 ( class_Orderings_Olinorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 53.99/54.02 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 53.99/54.02 <=> V_x_2 = V_y_2 ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_order__less__imp__le,axiom,
% 53.99/54.02 ! [V_y,V_x,T_a] :
% 53.99/54.02 ( class_Orderings_Opreorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_leD,axiom,
% 53.99/54.02 ! [V_x,V_y,T_a] :
% 53.99/54.02 ( class_Orderings_Olinorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 53.99/54.02 => ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_xt1_I12_J,axiom,
% 53.99/54.02 ! [V_b,V_a,T_a] :
% 53.99/54.02 ( class_Orderings_Oorder(T_a)
% 53.99/54.02 => ( V_a != V_b
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 53.99/54.02 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_order__neq__le__trans,axiom,
% 53.99/54.02 ! [V_b,V_a,T_a] :
% 53.99/54.02 ( class_Orderings_Oorder(T_a)
% 53.99/54.02 => ( V_a != V_b
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 53.99/54.02 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_linorder__antisym__conv1,axiom,
% 53.99/54.02 ! [V_y_2,V_x_2,T_a] :
% 53.99/54.02 ( class_Orderings_Olinorder(T_a)
% 53.99/54.02 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 53.99/54.02 <=> V_x_2 = V_y_2 ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_not__leE,axiom,
% 53.99/54.02 ! [V_x,V_y,T_a] :
% 53.99/54.02 ( class_Orderings_Olinorder(T_a)
% 53.99/54.02 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 53.99/54.02 => c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_leI,axiom,
% 53.99/54.02 ! [V_y,V_x,T_a] :
% 53.99/54.02 ( class_Orderings_Olinorder(T_a)
% 53.99/54.02 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_order__le__less,axiom,
% 53.99/54.02 ! [V_y_2,V_x_2,T_a] :
% 53.99/54.02 ( class_Orderings_Oorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 53.99/54.02 <=> ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 53.99/54.02 | V_x_2 = V_y_2 ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_less__le__not__le,axiom,
% 53.99/54.02 ! [V_y_2,V_x_2,T_a] :
% 53.99/54.02 ( class_Orderings_Opreorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 53.99/54.02 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 53.99/54.02 & ~ c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_order__less__le,axiom,
% 53.99/54.02 ! [V_y_2,V_x_2,T_a] :
% 53.99/54.02 ( class_Orderings_Oorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 53.99/54.02 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 53.99/54.02 & V_x_2 != V_y_2 ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_linorder__le__less__linear,axiom,
% 53.99/54.02 ! [V_y,V_x,T_a] :
% 53.99/54.02 ( class_Orderings_Olinorder(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 53.99/54.02 | c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_linorder__not__le,axiom,
% 53.99/54.02 ! [V_y_2,V_x_2,T_a] :
% 53.99/54.02 ( class_Orderings_Olinorder(T_a)
% 53.99/54.02 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 53.99/54.02 <=> c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_linorder__not__less,axiom,
% 53.99/54.02 ! [V_y_2,V_x_2,T_a] :
% 53.99/54.02 ( class_Orderings_Olinorder(T_a)
% 53.99/54.02 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 53.99/54.02 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact__096EX_Ak_Aa_Aqa_O_Aa_A_126_061_A0_A_G_Ak_A_126_061_A0_A_G_Apsize_Aqa_A_L_Ak_A_L_A1_A_061_Apsize_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A_G_A_IALL_Az_O_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Az_A_061_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A0_A_L_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aqa_J_Az_J_096,axiom,
% 53.99/54.02 ? [B_k,B_a] :
% 53.99/54.02 ( B_a != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 53.99/54.02 & B_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 53.99/54.02 & ? [B_q] :
% 53.99/54.02 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,B_q),B_k),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____))
% 53.99/54.02 & ! [B_z] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),B_z) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),B_z),B_k)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,B_a,B_q)),B_z))) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_natceiling__add__one,axiom,
% 53.99/54.02 ! [V_x] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 53.99/54.02 => c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_less__fun__def,axiom,
% 53.99/54.02 ! [V_g_2,V_f_2,T_a,T_b] :
% 53.99/54.02 ( class_Orderings_Oord(T_b)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 53.99/54.02 <=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 53.99/54.02 & ~ c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_g_2,V_f_2) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_natceiling__zero,axiom,
% 53.99/54.02 c_RComplete_Onatceiling(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zero__le__natceiling,axiom,
% 53.99/54.02 ! [V_x] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatceiling(V_x)) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_natceiling__mono,axiom,
% 53.99/54.02 ! [V_y,V_x] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,V_y)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),c_RComplete_Onatceiling(V_y)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_natceiling__one,axiom,
% 53.99/54.02 c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_natceiling__neg,axiom,
% 53.99/54.02 ! [V_x] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 53.99/54.02 => c_RComplete_Onatceiling(V_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_natceiling__le__eq__one,axiom,
% 53.99/54.02 ! [V_x_2] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(V_x_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 53.99/54.02 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_power__power__power,axiom,
% 53.99/54.02 ! [T_a] :
% 53.99/54.02 ( class_Power_Opower(T_a)
% 53.99/54.02 => c_Power_Opower__class_Opower(T_a) = c_Power_Opower_Opower(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Otimes__class_Otimes(T_a)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_of__real_Ononneg__bounded,axiom,
% 53.99/54.02 ! [T_a] :
% 53.99/54.02 ( ( class_RealVector_Oreal__algebra__1(T_a)
% 53.99/54.02 & class_RealVector_Oreal__normed__vector(T_a) )
% 53.99/54.02 => ? [B_K] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K)
% 53.99/54.02 & ! [B_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_RealVector_Oof__real(T_a,B_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,B_x)),B_K)) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_power_Opower_Opower__0,axiom,
% 53.99/54.02 ! [V_aa_2,V_times_2,V_one_2,T_a] : hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_aa_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_one_2 ).
% 53.99/54.02
% 53.99/54.02 fof(fact_lemmaCauchy,axiom,
% 53.99/54.02 ! [V_X_2,V_M_2,T_a,T_b] :
% 53.99/54.02 ( ( class_RealVector_Oreal__normed__vector(T_b)
% 53.99/54.02 & class_Orderings_Oord(T_a) )
% 53.99/54.02 => ( ! [B_n] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(T_a,V_M_2,B_n)
% 53.99/54.02 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_b,c_Groups_Ominus__class_Ominus(T_b,hAPP(V_X_2,V_M_2),hAPP(V_X_2,B_n))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )
% 53.99/54.02 => ! [B_n] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(T_a,V_M_2,B_n)
% 53.99/54.02 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_b,hAPP(V_X_2,B_n)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_b,hAPP(V_X_2,V_M_2)))) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_mult__left_Opos__bounded,axiom,
% 53.99/54.02 ! [V_y,T_a] :
% 53.99/54.02 ( class_RealVector_Oreal__normed__algebra(T_a)
% 53.99/54.02 => ? [B_K] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K)
% 53.99/54.02 & ! [B_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,B_x)),B_K)) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_mult_Opos__bounded,axiom,
% 53.99/54.02 ! [T_a] :
% 53.99/54.02 ( class_RealVector_Oreal__normed__algebra(T_a)
% 53.99/54.02 => ? [B_K] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K)
% 53.99/54.02 & ! [B_a,B_b] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_a),B_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,B_a)),c_RealVector_Onorm__class_Onorm(T_a,B_b))),B_K)) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_mult__right_Opos__bounded,axiom,
% 53.99/54.02 ! [V_x,T_a] :
% 53.99/54.02 ( class_RealVector_Oreal__normed__algebra(T_a)
% 53.99/54.02 => ? [B_K] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K)
% 53.99/54.02 & ! [B_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),B_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,B_x)),B_K)) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact__096_B_Bthesis_O_A_I_B_Bq_O_A_091_124_Apsize_Aq_A_061_Apsize_Ap_059_AALL_Ax_O_Apoly_Aq_Ax_A_061_Apoly_Ap_A_Ic_A_L_Ax_J_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096,axiom,
% 53.99/54.02 ~ ! [B_q] :
% 53.99/54.02 ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,B_q) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____)
% 53.99/54.02 => ~ ! [B_x] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,B_q),B_x) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_c____,B_x)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_natfloor__add__one,axiom,
% 53.99/54.02 ! [V_x] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 53.99/54.02 => c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_natfloor__zero,axiom,
% 53.99/54.02 c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_natfloor__one,axiom,
% 53.99/54.02 c_RComplete_Onatfloor(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_natfloor__mono,axiom,
% 53.99/54.02 ! [V_y,V_x] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,V_y)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),c_RComplete_Onatfloor(V_y)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_zero__le__natfloor,axiom,
% 53.99/54.02 ! [V_x] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatfloor(V_x)) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_natfloor__neg,axiom,
% 53.99/54.02 ! [V_x] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 53.99/54.02 => c_RComplete_Onatfloor(V_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_le__natfloor__eq__one,axiom,
% 53.99/54.02 ! [V_x_2] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(V_x_2))
% 53.99/54.02 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x_2) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_le__mult__natfloor,axiom,
% 53.99/54.02 ! [V_b,V_a] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_b)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(V_a)),c_RComplete_Onatfloor(V_b)),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_a),V_b))) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_tsub__def,axiom,
% 53.99/54.02 ! [V_x,V_y] :
% 53.99/54.02 ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x)
% 53.99/54.02 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_y) )
% 53.99/54.02 & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x)
% 53.99/54.02 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_termination__basic__simps_I3_J,axiom,
% 53.99/54.02 ! [V_z,V_y,V_x] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_y)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 53.99/54.02 ! [V_y,V_x] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_tsub__eq,axiom,
% 53.99/54.02 ! [V_x,V_y] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x)
% 53.99/54.02 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_y) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_termination__basic__simps_I2_J,axiom,
% 53.99/54.02 ! [V_y,V_z,V_x] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_z)
% 53.99/54.02 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_termination__basic__simps_I1_J,axiom,
% 53.99/54.02 ! [V_z,V_y,V_x] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)
% 53.99/54.02 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_termination__basic__simps_I5_J,axiom,
% 53.99/54.02 ! [V_y,V_x] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_y) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_termination__basic__simps_I4_J,axiom,
% 53.99/54.02 ! [V_y,V_z,V_x] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_z)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_natceiling__eq,axiom,
% 53.99/54.02 ! [V_x,V_n] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),V_x)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 53.99/54.02 => c_RComplete_Onatceiling(V_x) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_pos__poly__pCons,axiom,
% 53.99/54.02 ! [V_pb_2,V_aa_2,T_a] :
% 53.99/54.02 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.02 => ( c_Polynomial_Opos__poly(T_a,c_Polynomial_OpCons(T_a,V_aa_2,V_pb_2))
% 53.99/54.02 <=> ( c_Polynomial_Opos__poly(T_a,V_pb_2)
% 53.99/54.02 | ( V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 53.99/54.02 & c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_real__of__nat__ge__zero,axiom,
% 53.99/54.02 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_real__of__nat__diff,axiom,
% 53.99/54.02 ! [V_m,V_n] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 53.99/54.02 => c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_m),c_RealDef_Oreal(tc_Nat_Onat,V_n)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_real__of__nat__less__iff,axiom,
% 53.99/54.02 ! [V_ma_2,V_n_2] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_RealDef_Oreal(tc_Nat_Onat,V_ma_2))
% 53.99/54.02 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_not__real__of__nat__less__zero,axiom,
% 53.99/54.02 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_real__of__nat__zero,axiom,
% 53.99/54.02 c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_real__of__nat__zero__iff,axiom,
% 53.99/54.02 ! [V_n_2] :
% 53.99/54.02 ( c_RealDef_Oreal(tc_Nat_Onat,V_n_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 53.99/54.02 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_real__of__nat__mult,axiom,
% 53.99/54.02 ! [V_n,V_m] : c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),c_RealDef_Oreal(tc_Nat_Onat,V_n)) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_not__pos__poly__0,axiom,
% 53.99/54.02 ! [T_a] :
% 53.99/54.02 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.02 => ~ c_Polynomial_Opos__poly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_real__of__nat__power,axiom,
% 53.99/54.02 ! [V_n,V_m] : c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),V_n) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_power__real__of__nat,axiom,
% 53.99/54.02 ! [V_n,V_m] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),V_n) = c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_abs__real__of__nat__cancel,axiom,
% 53.99/54.02 ! [V_x] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_x)) = c_RealDef_Oreal(tc_Nat_Onat,V_x) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_pos__poly__mult,axiom,
% 53.99/54.02 ! [V_q,V_p,T_a] :
% 53.99/54.02 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.02 => ( c_Polynomial_Opos__poly(T_a,V_p)
% 53.99/54.02 => ( c_Polynomial_Opos__poly(T_a,V_q)
% 53.99/54.02 => c_Polynomial_Opos__poly(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q)) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_real__of__nat__inject,axiom,
% 53.99/54.02 ! [V_ma_2,V_n_2] :
% 53.99/54.02 ( c_RealDef_Oreal(tc_Nat_Onat,V_n_2) = c_RealDef_Oreal(tc_Nat_Onat,V_ma_2)
% 53.99/54.02 <=> V_n_2 = V_ma_2 ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_pos__poly__add,axiom,
% 53.99/54.02 ! [V_q,V_p,T_a] :
% 53.99/54.02 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.02 => ( c_Polynomial_Opos__poly(T_a,V_p)
% 53.99/54.02 => ( c_Polynomial_Opos__poly(T_a,V_q)
% 53.99/54.02 => c_Polynomial_Opos__poly(T_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_real__of__nat__add,axiom,
% 53.99/54.02 ! [V_n,V_m] : c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_m),c_RealDef_Oreal(tc_Nat_Onat,V_n)) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_real__of__nat__1,axiom,
% 53.99/54.02 c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_real__of__nat__le__zero__cancel__iff,axiom,
% 53.99/54.02 ! [V_n_2] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 53.99/54.02 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_real__natceiling__ge,axiom,
% 53.99/54.02 ! [V_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(V_x))) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_real__of__nat__le__iff,axiom,
% 53.99/54.02 ! [V_ma_2,V_n_2] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_RealDef_Oreal(tc_Nat_Onat,V_ma_2))
% 53.99/54.02 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,V_ma_2) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_less__eq__poly__def,axiom,
% 53.99/54.02 ! [V_y_2,V_x_2,T_a] :
% 53.99/54.02 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(T_a),V_x_2,V_y_2)
% 53.99/54.02 <=> ( V_x_2 = V_y_2
% 53.99/54.02 | c_Polynomial_Opos__poly(T_a,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_y_2,V_x_2)) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_natceiling__real__of__nat,axiom,
% 53.99/54.02 ! [V_n] : c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,V_n)) = V_n ).
% 53.99/54.02
% 53.99/54.02 fof(fact_natfloor__real__of__nat,axiom,
% 53.99/54.02 ! [V_n] : c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,V_n)) = V_n ).
% 53.99/54.02
% 53.99/54.02 fof(fact_real__natfloor__le,axiom,
% 53.99/54.02 ! [V_x] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x)),V_x) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_le__natfloor,axiom,
% 53.99/54.02 ! [V_a,V_x] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_x),V_a)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_RComplete_Onatfloor(V_a)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_natceiling__le,axiom,
% 53.99/54.02 ! [V_a,V_x] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a))
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),V_a) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_natfloor__power,axiom,
% 53.99/54.02 ! [V_n,V_x] :
% 53.99/54.02 ( V_x = c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x))
% 53.99/54.02 => c_RComplete_Onatfloor(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_x),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_RComplete_Onatfloor(V_x)),V_n) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_real__of__nat__gt__zero__cancel__iff,axiom,
% 53.99/54.02 ! [V_n_2] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n_2))
% 53.99/54.02 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_nat__less__real__le,axiom,
% 53.99/54.02 ! [V_ma_2,V_n_2] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2)
% 53.99/54.02 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,V_ma_2)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_nat__le__real__less,axiom,
% 53.99/54.02 ! [V_ma_2,V_n_2] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,V_ma_2)
% 53.99/54.02 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_ma_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_le__natfloor__eq,axiom,
% 53.99/54.02 ! [V_aa_2,V_x_2] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_aa_2,c_RComplete_Onatfloor(V_x_2))
% 53.99/54.02 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_aa_2),V_x_2) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_pos__poly__total,axiom,
% 53.99/54.02 ! [V_p,T_a] :
% 53.99/54.02 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.02 => ( V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 53.99/54.02 | c_Polynomial_Opos__poly(T_a,V_p)
% 53.99/54.02 | c_Polynomial_Opos__poly(T_a,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_p)) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_natceiling__le__eq,axiom,
% 53.99/54.02 ! [V_aa_2,V_x_2] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(V_x_2),V_aa_2)
% 53.99/54.02 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,c_RealDef_Oreal(tc_Nat_Onat,V_aa_2)) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_real__natfloor__add__one__gt,axiom,
% 53.99/54.02 ! [V_x] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_natfloor__subtract,axiom,
% 53.99/54.02 ! [V_x,V_a] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a),V_x)
% 53.99/54.02 => c_RComplete_Onatfloor(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),V_a) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_real__natfloor__gt__diff__one,axiom,
% 53.99/54.02 ! [V_x] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x))) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_natceiling__subtract,axiom,
% 53.99/54.02 ! [V_x,V_a] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a),V_x)
% 53.99/54.02 => c_RComplete_Onatceiling(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),V_a) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_less__natfloor,axiom,
% 53.99/54.02 ! [V_n,V_x] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_n))
% 53.99/54.02 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),V_n) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_natfloor__add,axiom,
% 53.99/54.02 ! [V_a,V_x] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 53.99/54.02 => c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),V_a) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_ge__natfloor__plus__one__imp__gt,axiom,
% 53.99/54.02 ! [V_n,V_z] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(V_z),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)
% 53.99/54.02 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_z,c_RealDef_Oreal(tc_Nat_Onat,V_n)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_natfloor__eq,axiom,
% 53.99/54.02 ! [V_x,V_n] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),V_x)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
% 53.99/54.02 => c_RComplete_Onatfloor(V_x) = V_n ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_natceiling__add,axiom,
% 53.99/54.02 ! [V_a,V_x] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 53.99/54.02 => c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),V_a) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_less__poly__def,axiom,
% 53.99/54.02 ! [V_y_2,V_x_2,T_a] :
% 53.99/54.02 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),V_x_2,V_y_2)
% 53.99/54.02 <=> c_Polynomial_Opos__poly(T_a,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_y_2,V_x_2)) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_LIMSEQ__inverse__realpow__zero__lemma,axiom,
% 53.99/54.02 ! [V_n,V_x] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)),V_x),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),V_n)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_reals__Archimedean6,axiom,
% 53.99/54.02 ! [V_r] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_r)
% 53.99/54.02 => ? [B_n] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B_n,c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_r)
% 53.99/54.02 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_RealDef_Oreal(tc_Nat_Onat,B_n)) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_Limits_Ominus__diff__minus,axiom,
% 53.99/54.02 ! [V_b,V_a,T_a] :
% 53.99/54.02 ( class_Groups_Oab__group__add(T_a)
% 53.99/54.02 => c_Groups_Ominus__class_Ominus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Groups_Ouminus__class_Ouminus(T_a,V_b)) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_decseq__def,axiom,
% 53.99/54.02 ! [V_X_2,T_a] :
% 53.99/54.02 ( class_Orderings_Oorder(T_a)
% 53.99/54.02 => ( c_SEQ_Odecseq(T_a,V_X_2)
% 53.99/54.02 <=> ! [B_m,B_n] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_m,B_n)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(V_X_2,B_n),hAPP(V_X_2,B_m)) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_poly__cont,axiom,
% 53.99/54.02 ! [V_p,V_z,V_e] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_e)
% 53.99/54.02 => ? [B_d] :
% 53.99/54.02 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_d)
% 53.99/54.02 & ! [B_w] :
% 53.99/54.02 ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,B_w,V_z)))
% 53.99/54.02 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,B_w,V_z)),B_d) )
% 53.99/54.02 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,V_p),B_w),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,V_p),V_z))),V_e) ) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_compl__mono,axiom,
% 53.99/54.02 ! [V_y,V_x,T_a] :
% 53.99/54.02 ( class_Lattices_Oboolean__algebra(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 53.99/54.02 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_y),c_Groups_Ouminus__class_Ouminus(T_a,V_x)) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_compl__le__compl__iff,axiom,
% 53.99/54.02 ! [V_y_2,V_x_2,T_a] :
% 53.99/54.02 ( class_Lattices_Oboolean__algebra(T_a)
% 53.99/54.02 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x_2),c_Groups_Ouminus__class_Ouminus(T_a,V_y_2))
% 53.99/54.02 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_minus__apply,axiom,
% 53.99/54.02 ! [V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 53.99/54.02 ( class_Groups_Ominus(T_a)
% 53.99/54.02 => hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,T_a),V_A_2,V_B_2),V_x_2) = c_Groups_Ominus__class_Ominus(T_a,hAPP(V_A_2,V_x_2),hAPP(V_B_2,V_x_2)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_times_Oidem,axiom,
% 53.99/54.02 ! [V_a,T_a] :
% 53.99/54.02 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 53.99/54.02 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_mult__idem,axiom,
% 53.99/54.02 ! [V_x,T_a] :
% 53.99/54.02 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 53.99/54.02 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_mult__left__idem,axiom,
% 53.99/54.02 ! [V_b,V_a,T_a] :
% 53.99/54.02 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 53.99/54.02 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_double__compl,axiom,
% 53.99/54.02 ! [V_x,T_a] :
% 53.99/54.02 ( class_Lattices_Oboolean__algebra(T_a)
% 53.99/54.02 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x)) = V_x ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_uminus__apply,axiom,
% 53.99/54.02 ! [V_x_2,V_A_2,T_b,T_a] :
% 53.99/54.02 ( class_Groups_Ouminus(T_a)
% 53.99/54.02 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,T_a),V_A_2),V_x_2) = c_Groups_Ouminus__class_Ouminus(T_a,hAPP(V_A_2,V_x_2)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_compl__eq__compl__iff,axiom,
% 53.99/54.02 ! [V_y_2,V_x_2,T_a] :
% 53.99/54.02 ( class_Lattices_Oboolean__algebra(T_a)
% 53.99/54.02 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_x_2) = c_Groups_Ouminus__class_Ouminus(T_a,V_y_2)
% 53.99/54.02 <=> V_x_2 = V_y_2 ) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_of__real_Obounded,axiom,
% 53.99/54.02 ! [T_a] :
% 53.99/54.02 ( ( class_RealVector_Oreal__algebra__1(T_a)
% 53.99/54.02 & class_RealVector_Oreal__normed__vector(T_a) )
% 53.99/54.02 => ? [B_K] :
% 53.99/54.02 ! [B_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_RealVector_Oof__real(T_a,B_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,B_x)),B_K)) ) ).
% 53.99/54.02
% 53.99/54.02 fof(fact_sgn__poly__def,axiom,
% 53.99/54.02 ! [V_x,T_a] :
% 53.99/54.02 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.02 => ( ( V_x = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 53.99/54.02 => c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(T_a),V_x) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) )
% 53.99/54.02 & ( V_x != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 53.99/54.02 => ( ( c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x)
% 53.99/54.03 => c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(T_a),V_x) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a)) )
% 53.99/54.03 & ( ~ c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x)
% 53.99/54.03 => c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(T_a),V_x) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a))) ) ) ) ) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_sgn__less,axiom,
% 53.99/54.03 ! [V_aa_2,T_a] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.03 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Osgn__class_Osgn(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.03 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_sgn__greater,axiom,
% 53.99/54.03 ! [V_aa_2,T_a] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.03 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Osgn__class_Osgn(T_a,V_aa_2))
% 53.99/54.03 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_abs__sgn,axiom,
% 53.99/54.03 ! [V_k,T_a] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.03 => c_Groups_Oabs__class_Oabs(T_a,V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_k),c_Groups_Osgn__class_Osgn(T_a,V_k)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_mult__sgn__abs,axiom,
% 53.99/54.03 ! [V_x,T_a] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.03 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Osgn__class_Osgn(T_a,V_x)),c_Groups_Oabs__class_Oabs(T_a,V_x)) = V_x ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_sgn__mult,axiom,
% 53.99/54.03 ! [V_y,V_x,T_a] :
% 53.99/54.03 ( class_RealVector_Oreal__normed__div__algebra(T_a)
% 53.99/54.03 => c_Groups_Osgn__class_Osgn(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Osgn__class_Osgn(T_a,V_x)),c_Groups_Osgn__class_Osgn(T_a,V_y)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_sgn__times,axiom,
% 53.99/54.03 ! [V_b,V_a,T_a] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.03 => c_Groups_Osgn__class_Osgn(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Osgn__class_Osgn(T_a,V_a)),c_Groups_Osgn__class_Osgn(T_a,V_b)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_sgn__0__0,axiom,
% 53.99/54.03 ! [V_aa_2,T_a] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.03 => ( c_Groups_Osgn__class_Osgn(T_a,V_aa_2) = c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.03 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_sgn__zero__iff,axiom,
% 53.99/54.03 ! [V_x_2,T_a] :
% 53.99/54.03 ( class_RealVector_Oreal__normed__vector(T_a)
% 53.99/54.03 => ( c_Groups_Osgn__class_Osgn(T_a,V_x_2) = c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.03 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_sgn__zero,axiom,
% 53.99/54.03 ! [T_a] :
% 53.99/54.03 ( class_RealVector_Oreal__normed__vector(T_a)
% 53.99/54.03 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_sgn0,axiom,
% 53.99/54.03 ! [T_a] :
% 53.99/54.03 ( class_Groups_Osgn__if(T_a)
% 53.99/54.03 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_sgn__of__real,axiom,
% 53.99/54.03 ! [V_r,T_a] :
% 53.99/54.03 ( class_RealVector_Oreal__normed__algebra__1(T_a)
% 53.99/54.03 => c_Groups_Osgn__class_Osgn(T_a,c_RealVector_Oof__real(T_a,V_r)) = c_RealVector_Oof__real(T_a,c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,V_r)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_sgn__sgn,axiom,
% 53.99/54.03 ! [V_a,T_a] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.03 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Osgn__class_Osgn(T_a,V_a)) = c_Groups_Osgn__class_Osgn(T_a,V_a) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_sgn__one,axiom,
% 53.99/54.03 ! [T_a] :
% 53.99/54.03 ( class_RealVector_Oreal__normed__algebra__1(T_a)
% 53.99/54.03 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_sgn__minus,axiom,
% 53.99/54.03 ! [V_x,T_a] :
% 53.99/54.03 ( class_RealVector_Oreal__normed__vector(T_a)
% 53.99/54.03 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x)) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Osgn__class_Osgn(T_a,V_x)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_sgn__pos,axiom,
% 53.99/54.03 ! [V_a,T_a] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.03 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 53.99/54.03 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_sgn__1__pos,axiom,
% 53.99/54.03 ! [V_aa_2,T_a] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.03 => ( c_Groups_Osgn__class_Osgn(T_a,V_aa_2) = c_Groups_Oone__class_Oone(T_a)
% 53.99/54.03 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_sgn__neg,axiom,
% 53.99/54.03 ! [V_a,T_a] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.03 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 53.99/54.03 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_sgn__1__neg,axiom,
% 53.99/54.03 ! [V_aa_2,T_a] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.03 => ( c_Groups_Osgn__class_Osgn(T_a,V_aa_2) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a))
% 53.99/54.03 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_sgn__if,axiom,
% 53.99/54.03 ! [V_x,T_a] :
% 53.99/54.03 ( class_Groups_Osgn__if(T_a)
% 53.99/54.03 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.03 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 53.99/54.03 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.03 => ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 53.99/54.03 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 53.99/54.03 & ( ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 53.99/54.03 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_norm__sgn,axiom,
% 53.99/54.03 ! [V_x,T_a] :
% 53.99/54.03 ( class_RealVector_Oreal__normed__vector(T_a)
% 53.99/54.03 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.03 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Osgn__class_Osgn(T_a,V_x)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
% 53.99/54.03 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 53.99/54.03 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Osgn__class_Osgn(T_a,V_x)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_order__1,axiom,
% 53.99/54.03 ! [V_p,V_a,T_a] :
% 53.99/54.03 ( class_Rings_Oidom(T_a)
% 53.99/54.03 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Polynomial_OpCons(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))),c_Polynomial_Oorder(T_a,V_a,V_p)),V_p) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_offset__poly__pCons,axiom,
% 53.99/54.03 ! [V_h,V_p,V_a,T_a] :
% 53.99/54.03 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.03 => c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,c_Polynomial_OpCons(T_a,V_a,V_p),V_h) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_p,V_h)),c_Polynomial_OpCons(T_a,V_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_p,V_h))) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_dvd__0__right,axiom,
% 53.99/54.03 ! [V_a,T_a] :
% 53.99/54.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.99/54.03 => c_Rings_Odvd__class_Odvd(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_minus__dvd__iff,axiom,
% 53.99/54.03 ! [V_y_2,V_x_2,T_a] :
% 53.99/54.03 ( class_Rings_Ocomm__ring__1(T_a)
% 53.99/54.03 => ( c_Rings_Odvd__class_Odvd(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x_2),V_y_2)
% 53.99/54.03 <=> c_Rings_Odvd__class_Odvd(T_a,V_x_2,V_y_2) ) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_dvd__minus__iff,axiom,
% 53.99/54.03 ! [V_y_2,V_x_2,T_a] :
% 53.99/54.03 ( class_Rings_Ocomm__ring__1(T_a)
% 53.99/54.03 => ( c_Rings_Odvd__class_Odvd(T_a,V_x_2,c_Groups_Ouminus__class_Ouminus(T_a,V_y_2))
% 53.99/54.03 <=> c_Rings_Odvd__class_Odvd(T_a,V_x_2,V_y_2) ) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_dvd__diff,axiom,
% 53.99/54.03 ! [V_z,V_y,V_x,T_a] :
% 53.99/54.03 ( class_Rings_Ocomm__ring__1(T_a)
% 53.99/54.03 => ( c_Rings_Odvd__class_Odvd(T_a,V_x,V_y)
% 53.99/54.03 => ( c_Rings_Odvd__class_Odvd(T_a,V_x,V_z)
% 53.99/54.03 => c_Rings_Odvd__class_Odvd(T_a,V_x,c_Groups_Ominus__class_Ominus(T_a,V_y,V_z)) ) ) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_inf__period_I3_J,axiom,
% 53.99/54.03 ! [V_ta_2,V_D_2,V_d_2,T_a] :
% 53.99/54.03 ( ( class_Rings_Ocomm__ring(T_a)
% 53.99/54.03 & class_Rings_Odvd(T_a) )
% 53.99/54.03 => ( c_Rings_Odvd__class_Odvd(T_a,V_d_2,V_D_2)
% 53.99/54.03 => ! [B_x,B_k] :
% 53.99/54.03 ( c_Rings_Odvd__class_Odvd(T_a,V_d_2,c_Groups_Oplus__class_Oplus(T_a,B_x,V_ta_2))
% 53.99/54.03 <=> c_Rings_Odvd__class_Odvd(T_a,V_d_2,c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ominus__class_Ominus(T_a,B_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_k),V_D_2)),V_ta_2)) ) ) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_inf__period_I4_J,axiom,
% 53.99/54.03 ! [V_ta_2,V_D_2,V_d_2,T_a] :
% 53.99/54.03 ( ( class_Rings_Ocomm__ring(T_a)
% 53.99/54.03 & class_Rings_Odvd(T_a) )
% 53.99/54.03 => ( c_Rings_Odvd__class_Odvd(T_a,V_d_2,V_D_2)
% 53.99/54.03 => ! [B_x,B_k] :
% 53.99/54.03 ( c_Rings_Odvd__class_Odvd(T_a,V_d_2,c_Groups_Oplus__class_Oplus(T_a,B_x,V_ta_2))
% 53.99/54.03 <=> c_Rings_Odvd__class_Odvd(T_a,V_d_2,c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ominus__class_Ominus(T_a,B_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_k),V_D_2)),V_ta_2)) ) ) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_unity__coeff__ex,axiom,
% 53.99/54.03 ! [V_l_2,V_P_2,T_a] :
% 53.99/54.03 ( ( class_Rings_Odvd(T_a)
% 53.99/54.03 & class_Rings_Osemiring__0(T_a) )
% 53.99/54.03 => ( ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_l_2),B_x)))
% 53.99/54.03 <=> ? [B_x] :
% 53.99/54.03 ( c_Rings_Odvd__class_Odvd(T_a,V_l_2,c_Groups_Oplus__class_Oplus(T_a,B_x,c_Groups_Ozero__class_Ozero(T_a)))
% 53.99/54.03 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_one__dvd,axiom,
% 53.99/54.03 ! [V_a,T_a] :
% 53.99/54.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.99/54.03 => c_Rings_Odvd__class_Odvd(T_a,c_Groups_Oone__class_Oone(T_a),V_a) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_dvd__add,axiom,
% 53.99/54.03 ! [V_c,V_b,V_a,T_a] :
% 53.99/54.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.99/54.03 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_b)
% 53.99/54.03 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_c)
% 53.99/54.03 => c_Rings_Odvd__class_Odvd(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) ) ) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_offset__poly__eq__0__iff,axiom,
% 53.99/54.03 ! [V_h_2,V_pb_2,T_a] :
% 53.99/54.03 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.03 => ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_pb_2,V_h_2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 53.99/54.03 <=> V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_offset__poly__0,axiom,
% 53.99/54.03 ! [V_h,T_a] :
% 53.99/54.03 ( class_Rings_Ocomm__semiring__0(T_a)
% 53.99/54.03 => c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_smult__dvd__cancel,axiom,
% 53.99/54.03 ! [V_q,V_p,V_a,T_a] :
% 53.99/54.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.99/54.03 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),V_q)
% 53.99/54.03 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,V_q) ) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_dvd__smult,axiom,
% 53.99/54.03 ! [V_a,V_q,V_p,T_a] :
% 53.99/54.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.99/54.03 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,V_q)
% 53.99/54.03 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,c_Polynomial_Osmult(T_a,V_a,V_q)) ) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_dvd__trans,axiom,
% 53.99/54.03 ! [V_c,V_b,V_a,T_a] :
% 53.99/54.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.99/54.03 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_b)
% 53.99/54.03 => ( c_Rings_Odvd__class_Odvd(T_a,V_b,V_c)
% 53.99/54.03 => c_Rings_Odvd__class_Odvd(T_a,V_a,V_c) ) ) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_dvd__refl,axiom,
% 53.99/54.03 ! [V_a,T_a] :
% 53.99/54.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.99/54.03 => c_Rings_Odvd__class_Odvd(T_a,V_a,V_a) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_dvd__power__same,axiom,
% 53.99/54.03 ! [V_n,V_y,V_x,T_a] :
% 53.99/54.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 53.99/54.03 => ( c_Rings_Odvd__class_Odvd(T_a,V_x,V_y)
% 53.99/54.03 => c_Rings_Odvd__class_Odvd(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_n)) ) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_dvd__abs__iff,axiom,
% 53.99/54.03 ! [V_ka_2,V_ma_2,T_a] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.03 => ( c_Rings_Odvd__class_Odvd(T_a,V_ma_2,c_Groups_Oabs__class_Oabs(T_a,V_ka_2))
% 53.99/54.03 <=> c_Rings_Odvd__class_Odvd(T_a,V_ma_2,V_ka_2) ) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_abs__dvd__iff,axiom,
% 53.99/54.03 ! [V_ka_2,V_ma_2,T_a] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.03 => ( c_Rings_Odvd__class_Odvd(T_a,c_Groups_Oabs__class_Oabs(T_a,V_ma_2),V_ka_2)
% 53.99/54.03 <=> c_Rings_Odvd__class_Odvd(T_a,V_ma_2,V_ka_2) ) ) ).
% 53.99/54.03
% 53.99/54.03 fof(fact_dvd__if__abs__eq,axiom,
% 53.99/54.03 ! [V_k,V_l,T_a] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_a)
% 53.99/54.03 => ( c_Groups_Oabs__class_Oabs(T_a,V_l) = c_Groups_Oabs__class_Oabs(T_a,V_k)
% 53.99/54.03 => c_Rings_Odvd__class_Odvd(T_a,V_l,V_k) ) ) ).
% 53.99/54.03
% 53.99/54.03 %----Arity declarations (289)
% 53.99/54.03 fof(arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Groups_Ocancel__comm__monoid__add(T_1)
% 53.99/54.03 => class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Groups_Ocancel__comm__monoid__add,axiom,
% 53.99/54.03 class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Groups_Ocancel__comm__monoid__add,axiom,
% 53.99/54.03 class_Groups_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Groups_Ocancel__comm__monoid__add,axiom,
% 53.99/54.03 class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Groups_Ocancel__comm__monoid__add,axiom,
% 53.99/54.03 class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 53.99/54.03 ! [T_2,T_1] :
% 53.99/54.03 ( class_Lattices_Oboolean__algebra(T_1)
% 53.99/54.03 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_fun__Orderings_Opreorder,axiom,
% 53.99/54.03 ! [T_2,T_1] :
% 53.99/54.03 ( class_Orderings_Opreorder(T_1)
% 53.99/54.03 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_fun__Orderings_Oorder,axiom,
% 53.99/54.03 ! [T_2,T_1] :
% 53.99/54.03 ( class_Orderings_Oorder(T_1)
% 53.99/54.03 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_fun__Orderings_Oord,axiom,
% 53.99/54.03 ! [T_2,T_1] :
% 53.99/54.03 ( class_Orderings_Oord(T_1)
% 53.99/54.03 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_fun__Groups_Ouminus,axiom,
% 53.99/54.03 ! [T_2,T_1] :
% 53.99/54.03 ( class_Groups_Ouminus(T_1)
% 53.99/54.03 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_fun__Groups_Ominus,axiom,
% 53.99/54.03 ! [T_2,T_1] :
% 53.99/54.03 ( class_Groups_Ominus(T_1)
% 53.99/54.03 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 53.99/54.03 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 53.99/54.03 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 53.99/54.03 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 53.99/54.03 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 53.99/54.03 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 53.99/54.03 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 53.99/54.03 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
% 53.99/54.03 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 53.99/54.03 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 53.99/54.03 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 53.99/54.03 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 53.99/54.03 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 53.99/54.03 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 53.99/54.03 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 53.99/54.03 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 53.99/54.03 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 53.99/54.03 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 53.99/54.03 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 53.99/54.03 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 53.99/54.03 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 53.99/54.03 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 53.99/54.03 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 53.99/54.03 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 53.99/54.03 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 53.99/54.03 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,
% 53.99/54.03 class_Rings_Oordered__ring__abs(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 53.99/54.03 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 53.99/54.03 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 53.99/54.03 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 53.99/54.03 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 53.99/54.03 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Ocomm__semiring__0,axiom,
% 53.99/54.03 class_Rings_Ocomm__semiring__0(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 53.99/54.03 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 53.99/54.03 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 53.99/54.03 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 53.99/54.03 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 53.99/54.03 class_Orderings_Opreorder(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 53.99/54.03 class_Orderings_Olinorder(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 53.99/54.03 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 53.99/54.03 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 53.99/54.03 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 53.99/54.03 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 53.99/54.03 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 53.99/54.03 class_Rings_Omult__zero(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom,
% 53.99/54.03 class_Rings_Ocomm__ring(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 53.99/54.03 class_Orderings_Oorder(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 53.99/54.03 class_Int_Oring__char__0(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 53.99/54.03 class_Rings_Osemiring(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 53.99/54.03 class_Orderings_Oord(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 53.99/54.03 class_Groups_Ouminus(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 53.99/54.03 class_Groups_Osgn__if(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Groups_Oabs__if,axiom,
% 53.99/54.03 class_Groups_Oabs__if(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 53.99/54.03 class_Rings_Oring__1(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 53.99/54.03 class_Groups_Ominus(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Power_Opower,axiom,
% 53.99/54.03 class_Power_Opower(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 53.99/54.03 class_Groups_Ozero(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Oring,axiom,
% 53.99/54.03 class_Rings_Oring(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 53.99/54.03 class_Rings_Oidom(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Groups_Oone,axiom,
% 53.99/54.03 class_Groups_Oone(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Int__Oint__Rings_Odvd,axiom,
% 53.99/54.03 class_Rings_Odvd(tc_Int_Oint) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 53.99/54.03 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 53.99/54.03 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 53.99/54.03 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 53.99/54.03 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 53.99/54.03 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 53.99/54.03 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 53.99/54.03 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 53.99/54.03 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 53.99/54.03 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 53.99/54.03 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 53.99/54.03 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 53.99/54.03 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 53.99/54.03 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 53.99/54.03 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 53.99/54.03 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 53.99/54.03 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 53.99/54.03 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 53.99/54.03 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 53.99/54.03 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 53.99/54.03 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Rings_Ocomm__semiring__0,axiom,
% 53.99/54.03 class_Rings_Ocomm__semiring__0(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 53.99/54.03 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 53.99/54.03 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 53.99/54.03 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 53.99/54.03 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 53.99/54.03 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 53.99/54.03 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 53.99/54.03 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 53.99/54.03 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 53.99/54.03 class_Orderings_Oorder(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 53.99/54.03 class_Rings_Osemiring(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 53.99/54.03 class_Orderings_Oord(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 53.99/54.03 class_Groups_Ominus(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Power_Opower,axiom,
% 53.99/54.03 class_Power_Opower(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 53.99/54.03 class_Groups_Ozero(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 53.99/54.03 class_Groups_Oone(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Nat__Onat__Rings_Odvd,axiom,
% 53.99/54.03 class_Rings_Odvd(tc_Nat_Onat) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 53.99/54.03 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 53.99/54.03 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 53.99/54.03 class_Orderings_Oorder(tc_HOL_Obool) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 53.99/54.03 class_Orderings_Oord(tc_HOL_Obool) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 53.99/54.03 class_Groups_Ouminus(tc_HOL_Obool) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 53.99/54.03 class_Groups_Ominus(tc_HOL_Obool) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 53.99/54.03 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 53.99/54.03 class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 53.99/54.03 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict,axiom,
% 53.99/54.03 class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero,axiom,
% 53.99/54.03 class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict,axiom,
% 53.99/54.03 class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,axiom,
% 53.99/54.03 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__strict,axiom,
% 53.99/54.03 class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero,axiom,
% 53.99/54.03 class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom,
% 53.99/54.03 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add,axiom,
% 53.99/54.03 class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs,axiom,
% 53.99/54.03 class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom,
% 53.99/54.03 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add,axiom,
% 53.99/54.03 class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Groups_Olinordered__ab__group__add,axiom,
% 53.99/54.03 class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add,axiom,
% 53.99/54.03 class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors,axiom,
% 53.99/54.03 class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Oordered__cancel__semiring,axiom,
% 53.99/54.03 class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom,
% 53.99/54.03 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Olinordered__ring__strict,axiom,
% 53.99/54.03 class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Oring__no__zero__divisors,axiom,
% 53.99/54.03 class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Oordered__comm__semiring,axiom,
% 53.99/54.03 class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__1,axiom,
% 53.99/54.03 class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__RealVector_Oreal__div__algebra,axiom,
% 53.99/54.03 class_RealVector_Oreal__div__algebra(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Groups_Oordered__ab__group__add,axiom,
% 53.99/54.03 class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Groups_Ocancel__semigroup__add,axiom,
% 53.99/54.03 class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring,axiom,
% 53.99/54.03 class_Rings_Olinordered__semiring(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__RealVector_Oreal__algebra__1,axiom,
% 53.99/54.03 class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Fields_Ofield__inverse__zero,axiom,
% 53.99/54.03 class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Olinordered__semidom,axiom,
% 53.99/54.03 class_Rings_Olinordered__semidom(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Groups_Oab__semigroup__mult,axiom,
% 53.99/54.03 class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Groups_Ocomm__monoid__mult,axiom,
% 53.99/54.03 class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Groups_Oab__semigroup__add,axiom,
% 53.99/54.03 class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Fields_Olinordered__field,axiom,
% 53.99/54.03 class_Fields_Olinordered__field(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Oordered__semiring,axiom,
% 53.99/54.03 class_Rings_Oordered__semiring(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Oordered__ring__abs,axiom,
% 53.99/54.03 class_Rings_Oordered__ring__abs(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Ono__zero__divisors,axiom,
% 53.99/54.03 class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Groups_Ocomm__monoid__add,axiom,
% 53.99/54.03 class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Olinordered__ring,axiom,
% 53.99/54.03 class_Rings_Olinordered__ring(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Olinordered__idom,axiom,
% 53.99/54.03 class_Rings_Olinordered__idom(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring__1,axiom,
% 53.99/54.03 class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring__0,axiom,
% 53.99/54.03 class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Odivision__ring,axiom,
% 53.99/54.03 class_Rings_Odivision__ring(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring,axiom,
% 53.99/54.03 class_Rings_Ocomm__semiring(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Groups_Oab__group__add,axiom,
% 53.99/54.03 class_Groups_Oab__group__add(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Ozero__neq__one,axiom,
% 53.99/54.03 class_Rings_Ozero__neq__one(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Oordered__ring,axiom,
% 53.99/54.03 class_Rings_Oordered__ring(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Orderings_Opreorder,axiom,
% 53.99/54.03 class_Orderings_Opreorder(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Orderings_Olinorder,axiom,
% 53.99/54.03 class_Orderings_Olinorder(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Groups_Omonoid__mult,axiom,
% 53.99/54.03 class_Groups_Omonoid__mult(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Ocomm__ring__1,axiom,
% 53.99/54.03 class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Groups_Omonoid__add,axiom,
% 53.99/54.03 class_Groups_Omonoid__add(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Osemiring__0,axiom,
% 53.99/54.03 class_Rings_Osemiring__0(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Groups_Ogroup__add,axiom,
% 53.99/54.03 class_Groups_Ogroup__add(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Omult__zero,axiom,
% 53.99/54.03 class_Rings_Omult__zero(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Ocomm__ring,axiom,
% 53.99/54.03 class_Rings_Ocomm__ring(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Orderings_Oorder,axiom,
% 53.99/54.03 class_Orderings_Oorder(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Int_Oring__char__0,axiom,
% 53.99/54.03 class_Int_Oring__char__0(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Osemiring,axiom,
% 53.99/54.03 class_Rings_Osemiring(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Orderings_Oord,axiom,
% 53.99/54.03 class_Orderings_Oord(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Groups_Ouminus,axiom,
% 53.99/54.03 class_Groups_Ouminus(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Groups_Osgn__if,axiom,
% 53.99/54.03 class_Groups_Osgn__if(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Groups_Oabs__if,axiom,
% 53.99/54.03 class_Groups_Oabs__if(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Oring__1,axiom,
% 53.99/54.03 class_Rings_Oring__1(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Groups_Ominus,axiom,
% 53.99/54.03 class_Groups_Ominus(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Fields_Ofield,axiom,
% 53.99/54.03 class_Fields_Ofield(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Power_Opower,axiom,
% 53.99/54.03 class_Power_Opower(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Groups_Ozero,axiom,
% 53.99/54.03 class_Groups_Ozero(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Oring,axiom,
% 53.99/54.03 class_Rings_Oring(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Oidom,axiom,
% 53.99/54.03 class_Rings_Oidom(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Groups_Oone,axiom,
% 53.99/54.03 class_Groups_Oone(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_RealDef__Oreal__Rings_Odvd,axiom,
% 53.99/54.03 class_Rings_Odvd(tc_RealDef_Oreal) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 53.99/54.03 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom,
% 53.99/54.03 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero,axiom,
% 53.99/54.03 class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom,
% 53.99/54.03 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
% 53.99/54.03 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add,axiom,
% 53.99/54.03 class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors,axiom,
% 53.99/54.03 class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
% 53.99/54.03 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors,axiom,
% 53.99/54.03 class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__RealVector_Oreal__div__algebra,axiom,
% 53.99/54.03 class_RealVector_Oreal__div__algebra(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add,axiom,
% 53.99/54.03 class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__RealVector_Oreal__algebra__1,axiom,
% 53.99/54.03 class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Fields_Ofield__inverse__zero,axiom,
% 53.99/54.03 class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Groups_Oab__semigroup__mult,axiom,
% 53.99/54.03 class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult,axiom,
% 53.99/54.03 class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Groups_Oab__semigroup__add,axiom,
% 53.99/54.03 class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Rings_Ono__zero__divisors,axiom,
% 53.99/54.03 class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Groups_Ocomm__monoid__add,axiom,
% 53.99/54.03 class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,
% 53.99/54.03 class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,
% 53.99/54.03 class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Rings_Odivision__ring,axiom,
% 53.99/54.03 class_Rings_Odivision__ring(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring,axiom,
% 53.99/54.03 class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Groups_Oab__group__add,axiom,
% 53.99/54.03 class_Groups_Oab__group__add(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Rings_Ozero__neq__one,axiom,
% 53.99/54.03 class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Groups_Omonoid__mult,axiom,
% 53.99/54.03 class_Groups_Omonoid__mult(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Rings_Ocomm__ring__1,axiom,
% 53.99/54.03 class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Groups_Omonoid__add,axiom,
% 53.99/54.03 class_Groups_Omonoid__add(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Rings_Osemiring__0,axiom,
% 53.99/54.03 class_Rings_Osemiring__0(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Groups_Ogroup__add,axiom,
% 53.99/54.03 class_Groups_Ogroup__add(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Rings_Omult__zero,axiom,
% 53.99/54.03 class_Rings_Omult__zero(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Rings_Ocomm__ring,axiom,
% 53.99/54.03 class_Rings_Ocomm__ring(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Int_Oring__char__0,axiom,
% 53.99/54.03 class_Int_Oring__char__0(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Rings_Osemiring,axiom,
% 53.99/54.03 class_Rings_Osemiring(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Groups_Ouminus,axiom,
% 53.99/54.03 class_Groups_Ouminus(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Rings_Oring__1,axiom,
% 53.99/54.03 class_Rings_Oring__1(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Groups_Ominus,axiom,
% 53.99/54.03 class_Groups_Ominus(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Fields_Ofield,axiom,
% 53.99/54.03 class_Fields_Ofield(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Power_Opower,axiom,
% 53.99/54.03 class_Power_Opower(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Groups_Ozero,axiom,
% 53.99/54.03 class_Groups_Ozero(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Rings_Oring,axiom,
% 53.99/54.03 class_Rings_Oring(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Rings_Oidom,axiom,
% 53.99/54.03 class_Rings_Oidom(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Groups_Oone,axiom,
% 53.99/54.03 class_Groups_Oone(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Complex__Ocomplex__Rings_Odvd,axiom,
% 53.99/54.03 class_Rings_Odvd(tc_Complex_Ocomplex) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Oidom(T_1)
% 53.99/54.03 => class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_1)
% 53.99/54.03 => class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_1)
% 53.99/54.03 => class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_1)
% 53.99/54.03 => class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__1__strict,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_1)
% 53.99/54.03 => class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_1)
% 53.99/54.03 => class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_1)
% 53.99/54.03 => class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__group__add__abs,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_1)
% 53.99/54.03 => class_Groups_Oordered__ab__group__add__abs(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_1)
% 53.99/54.03 => class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_1)
% 53.99/54.03 => class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Groups_Ocancel__comm__monoid__add(T_1)
% 53.99/54.03 => class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Oidom(T_1)
% 53.99/54.03 => class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_1)
% 53.99/54.03 => class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Olinordered__ring__strict,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_1)
% 53.99/54.03 => class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Oidom(T_1)
% 53.99/54.03 => class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Oordered__comm__semiring,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_1)
% 53.99/54.03 => class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__1,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_1)
% 53.99/54.03 => class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__group__add,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_1)
% 53.99/54.03 => class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Groups_Ocancel__comm__monoid__add(T_1)
% 53.99/54.03 => class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_1)
% 53.99/54.03 => class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Olinordered__semidom,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_1)
% 53.99/54.03 => class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Groups_Oab__semigroup__mult,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Ocomm__semiring__0(T_1)
% 53.99/54.03 => class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Ocomm__semiring__1(T_1)
% 53.99/54.03 => class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Groups_Oab__semigroup__add,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Groups_Ocomm__monoid__add(T_1)
% 53.99/54.03 => class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Oordered__semiring,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_1)
% 53.99/54.03 => class_Rings_Oordered__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Oordered__ring__abs,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_1)
% 53.99/54.03 => class_Rings_Oordered__ring__abs(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Ono__zero__divisors,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Oidom(T_1)
% 53.99/54.03 => class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Groups_Ocomm__monoid__add,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Groups_Ocomm__monoid__add(T_1)
% 53.99/54.03 => class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Olinordered__ring,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_1)
% 53.99/54.03 => class_Rings_Olinordered__ring(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Olinordered__idom,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_1)
% 53.99/54.03 => class_Rings_Olinordered__idom(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__1,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Ocomm__semiring__1(T_1)
% 53.99/54.03 => class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__0,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Ocomm__semiring__0(T_1)
% 53.99/54.03 => class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Ocomm__semiring__0(T_1)
% 53.99/54.03 => class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Groups_Oab__group__add,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Groups_Oab__group__add(T_1)
% 53.99/54.03 => class_Groups_Oab__group__add(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Ozero__neq__one,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Ocomm__semiring__1(T_1)
% 53.99/54.03 => class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Oordered__ring,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_1)
% 53.99/54.03 => class_Rings_Oordered__ring(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Orderings_Opreorder,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_1)
% 53.99/54.03 => class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Orderings_Olinorder,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_1)
% 53.99/54.03 => class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Groups_Omonoid__mult,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Ocomm__semiring__1(T_1)
% 53.99/54.03 => class_Groups_Omonoid__mult(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Ocomm__ring__1,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Ocomm__ring__1(T_1)
% 53.99/54.03 => class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Groups_Omonoid__add,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Groups_Ocomm__monoid__add(T_1)
% 53.99/54.03 => class_Groups_Omonoid__add(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Osemiring__0,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Ocomm__semiring__0(T_1)
% 53.99/54.03 => class_Rings_Osemiring__0(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Groups_Ogroup__add,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Groups_Oab__group__add(T_1)
% 53.99/54.03 => class_Groups_Ogroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Omult__zero,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Ocomm__semiring__0(T_1)
% 53.99/54.03 => class_Rings_Omult__zero(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Ocomm__ring,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Ocomm__ring(T_1)
% 53.99/54.03 => class_Rings_Ocomm__ring(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Orderings_Oorder,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_1)
% 53.99/54.03 => class_Orderings_Oorder(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Int_Oring__char__0,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_1)
% 53.99/54.03 => class_Int_Oring__char__0(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Osemiring,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Ocomm__semiring__0(T_1)
% 53.99/54.03 => class_Rings_Osemiring(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Orderings_Oord,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_1)
% 53.99/54.03 => class_Orderings_Oord(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Groups_Ouminus,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Groups_Oab__group__add(T_1)
% 53.99/54.03 => class_Groups_Ouminus(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Groups_Osgn__if,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_1)
% 53.99/54.03 => class_Groups_Osgn__if(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Groups_Oabs__if,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Olinordered__idom(T_1)
% 53.99/54.03 => class_Groups_Oabs__if(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Oring__1,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Ocomm__ring__1(T_1)
% 53.99/54.03 => class_Rings_Oring__1(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Groups_Ominus,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Groups_Oab__group__add(T_1)
% 53.99/54.03 => class_Groups_Ominus(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Power_Opower,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Ocomm__semiring__1(T_1)
% 53.99/54.03 => class_Power_Opower(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Groups_Ozero,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Groups_Ozero(T_1)
% 53.99/54.03 => class_Groups_Ozero(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Oring,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Ocomm__ring(T_1)
% 53.99/54.03 => class_Rings_Oring(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Oidom,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Oidom(T_1)
% 53.99/54.03 => class_Rings_Oidom(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Groups_Oone,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Ocomm__semiring__1(T_1)
% 53.99/54.03 => class_Groups_Oone(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 fof(arity_Polynomial__Opoly__Rings_Odvd,axiom,
% 53.99/54.03 ! [T_1] :
% 53.99/54.03 ( class_Rings_Ocomm__semiring__1(T_1)
% 53.99/54.03 => class_Rings_Odvd(tc_Polynomial_Opoly(T_1)) ) ).
% 53.99/54.03
% 53.99/54.03 %----Conjectures (1)
% 53.99/54.03 fof(conj_0,conjecture,
% 53.99/54.03 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)))) ).
% 53.99/54.03
% 53.99/54.03 %------------------------------------------------------------------------------
% 53.99/54.03 %-------------------------------------------
% 53.99/54.03 % Proof found
% 53.99/54.03 % SZS status Theorem for theBenchmark
% 53.99/54.03 % SZS output start Proof
% 53.99/54.04 %ClaNum:1805(EqnAxiom:204)
% 53.99/54.04 %VarNum:8705(SingletonVarNum:2984)
% 53.99/54.04 %MaxLitNum:7
% 53.99/54.04 %MaxfuncDepth:9
% 53.99/54.04 %SharedTerms:463
% 53.99/54.04 %goalClause: 606
% 53.99/54.04 %singleGoalClaCount:1
% 53.99/54.04 [205]P1(a1)
% 53.99/54.04 [206]P1(a68)
% 53.99/54.04 [207]P2(a1)
% 53.99/54.04 [208]P2(a68)
% 53.99/54.04 [209]P3(a1)
% 53.99/54.04 [210]P3(a68)
% 53.99/54.04 [211]P47(a1)
% 53.99/54.04 [212]P47(a68)
% 53.99/54.04 [213]P48(a1)
% 53.99/54.04 [214]P48(a68)
% 53.99/54.04 [215]P4(a1)
% 53.99/54.04 [216]P4(a68)
% 53.99/54.04 [217]P4(a69)
% 53.99/54.04 [218]P4(a70)
% 53.99/54.04 [219]P49(a1)
% 53.99/54.04 [220]P49(a68)
% 53.99/54.04 [221]P49(a69)
% 53.99/54.04 [222]P49(a70)
% 53.99/54.04 [223]P54(a68)
% 53.99/54.04 [224]P54(a69)
% 53.99/54.04 [225]P54(a70)
% 53.99/54.04 [226]P46(a1)
% 53.99/54.04 [227]P46(a68)
% 53.99/54.04 [228]P55(a1)
% 53.99/54.04 [229]P55(a68)
% 53.99/54.04 [230]P28(a1)
% 53.99/54.04 [231]P28(a68)
% 53.99/54.04 [232]P28(a69)
% 53.99/54.04 [233]P28(a70)
% 53.99/54.04 [234]P63(a1)
% 53.99/54.04 [235]P63(a68)
% 53.99/54.04 [236]P63(a69)
% 53.99/54.04 [237]P63(a70)
% 53.99/54.04 [238]P68(a1)
% 53.99/54.04 [239]P68(a68)
% 53.99/54.04 [240]P68(a69)
% 53.99/54.04 [241]P68(a70)
% 53.99/54.04 [242]P69(a1)
% 53.99/54.04 [243]P69(a68)
% 53.99/54.04 [244]P69(a69)
% 53.99/54.04 [245]P69(a70)
% 53.99/54.04 [246]P56(a1)
% 53.99/54.04 [247]P56(a68)
% 53.99/54.04 [248]P81(a1)
% 53.99/54.04 [249]P81(a68)
% 53.99/54.04 [250]P81(a69)
% 53.99/54.04 [251]P81(a70)
% 53.99/54.04 [252]P70(a1)
% 53.99/54.04 [253]P70(a68)
% 53.99/54.04 [254]P70(a70)
% 53.99/54.04 [255]P78(a1)
% 53.99/54.04 [256]P78(a68)
% 53.99/54.04 [257]P78(a69)
% 53.99/54.04 [258]P78(a70)
% 53.99/54.04 [259]P5(a1)
% 53.99/54.04 [260]P5(a68)
% 53.99/54.04 [261]P5(a69)
% 53.99/54.04 [262]P5(a70)
% 53.99/54.04 [263]P64(a68)
% 53.99/54.04 [264]P64(a70)
% 53.99/54.04 [265]P6(a68)
% 53.99/54.04 [266]P15(a68)
% 53.99/54.04 [267]P65(a68)
% 53.99/54.04 [268]P65(a70)
% 53.99/54.04 [269]P71(a1)
% 53.99/54.04 [270]P71(a68)
% 53.99/54.04 [271]P71(a70)
% 53.99/54.04 [272]P72(a68)
% 53.99/54.04 [273]P72(a70)
% 53.99/54.04 [274]P57(a68)
% 53.99/54.04 [275]P57(a70)
% 53.99/54.04 [276]P79(a1)
% 53.99/54.04 [277]P79(a68)
% 53.99/54.04 [278]P79(a70)
% 53.99/54.04 [279]P50(a1)
% 53.99/54.04 [280]P50(a68)
% 53.99/54.04 [281]P50(a69)
% 53.99/54.04 [282]P50(a70)
% 53.99/54.04 [283]P80(a1)
% 53.99/54.04 [284]P80(a68)
% 53.99/54.04 [285]P80(a69)
% 53.99/54.04 [286]P80(a70)
% 53.99/54.04 [287]P7(a1)
% 53.99/54.04 [288]P7(a68)
% 53.99/54.04 [289]P61(a68)
% 53.99/54.04 [290]P61(a70)
% 53.99/54.04 [291]P62(a68)
% 53.99/54.04 [292]P62(a70)
% 53.99/54.04 [293]P73(a68)
% 53.99/54.04 [294]P73(a69)
% 53.99/54.04 [295]P73(a70)
% 53.99/54.04 [296]P75(a68)
% 53.99/54.04 [297]P75(a69)
% 53.99/54.04 [298]P75(a70)
% 53.99/54.04 [299]P74(a68)
% 53.99/54.04 [300]P74(a69)
% 53.99/54.04 [301]P74(a70)
% 53.99/54.04 [302]P58(a68)
% 53.99/54.04 [303]P58(a69)
% 53.99/54.04 [304]P58(a70)
% 53.99/54.04 [305]P67(a68)
% 53.99/54.04 [306]P67(a69)
% 53.99/54.04 [307]P67(a70)
% 53.99/54.04 [308]P66(a68)
% 53.99/54.04 [309]P66(a69)
% 53.99/54.04 [310]P66(a70)
% 53.99/54.04 [311]P8(a1)
% 53.99/54.04 [312]P8(a68)
% 53.99/54.04 [313]P59(a1)
% 53.99/54.04 [314]P59(a68)
% 53.99/54.04 [315]P59(a70)
% 53.99/54.04 [316]P51(a1)
% 53.99/54.04 [317]P51(a68)
% 53.99/54.04 [318]P51(a70)
% 53.99/54.04 [319]P29(a1)
% 53.99/54.04 [320]P29(a68)
% 53.99/54.04 [321]P29(a69)
% 53.99/54.04 [322]P29(a70)
% 53.99/54.04 [323]P76(a68)
% 53.99/54.04 [324]P76(a70)
% 53.99/54.04 [325]P77(a1)
% 53.99/54.04 [326]P77(a68)
% 53.99/54.04 [327]P77(a70)
% 53.99/54.04 [328]P24(a1)
% 53.99/54.04 [329]P24(a68)
% 53.99/54.04 [330]P24(a70)
% 53.99/54.04 [331]P53(a1)
% 53.99/54.04 [332]P53(a68)
% 53.99/54.04 [333]P53(a69)
% 53.99/54.04 [334]P53(a70)
% 53.99/54.04 [335]P16(a1)
% 53.99/54.04 [336]P16(a68)
% 53.99/54.04 [337]P16(a70)
% 53.99/54.04 [338]P39(a1)
% 53.99/54.04 [339]P39(a68)
% 53.99/54.04 [340]P39(a70)
% 53.99/54.04 [341]P52(a1)
% 53.99/54.04 [342]P52(a68)
% 53.99/54.04 [343]P52(a70)
% 53.99/54.04 [344]P17(a1)
% 53.99/54.04 [345]P17(a68)
% 53.99/54.04 [346]P17(a69)
% 53.99/54.04 [347]P17(a70)
% 53.99/54.04 [348]P30(a68)
% 53.99/54.04 [349]P30(a70)
% 53.99/54.04 [350]P18(a68)
% 53.99/54.04 [351]P18(a70)
% 53.99/54.04 [352]P19(a1)
% 53.99/54.04 [353]P19(a68)
% 53.99/54.04 [354]P19(a69)
% 53.99/54.04 [355]P19(a70)
% 53.99/54.04 [356]P21(a1)
% 53.99/54.04 [357]P21(a68)
% 53.99/54.04 [358]P21(a69)
% 53.99/54.04 [359]P21(a70)
% 53.99/54.04 [360]P22(a1)
% 53.99/54.04 [361]P22(a68)
% 53.99/54.04 [362]P22(a69)
% 53.99/54.04 [363]P22(a70)
% 53.99/54.04 [364]P20(a1)
% 53.99/54.04 [365]P20(a68)
% 53.99/54.04 [366]P20(a69)
% 53.99/54.04 [367]P20(a70)
% 53.99/54.04 [368]P31(a1)
% 53.99/54.04 [369]P31(a68)
% 53.99/54.04 [370]P31(a69)
% 53.99/54.04 [371]P31(a70)
% 53.99/54.04 [372]P25(a1)
% 53.99/54.04 [373]P25(a68)
% 53.99/54.04 [374]P25(a69)
% 53.99/54.04 [375]P25(a70)
% 53.99/54.04 [376]P26(a68)
% 53.99/54.04 [377]P26(a70)
% 53.99/54.04 [378]P33(a68)
% 53.99/54.04 [379]P33(a69)
% 53.99/54.04 [380]P33(a70)
% 53.99/54.04 [381]P34(a68)
% 53.99/54.04 [382]P34(a69)
% 53.99/54.04 [383]P34(a70)
% 53.99/54.04 [384]P35(a68)
% 53.99/54.04 [385]P35(a69)
% 53.99/54.04 [386]P35(a70)
% 53.99/54.04 [387]P32(a68)
% 53.99/54.04 [388]P32(a70)
% 53.99/54.04 [389]P36(a68)
% 53.99/54.04 [390]P36(a69)
% 53.99/54.04 [391]P36(a70)
% 53.99/54.04 [392]P40(a68)
% 53.99/54.04 [393]P40(a69)
% 53.99/54.04 [394]P40(a70)
% 53.99/54.04 [395]P40(a71)
% 53.99/54.04 [396]P41(a68)
% 53.99/54.04 [397]P41(a69)
% 53.99/54.04 [398]P41(a70)
% 53.99/54.04 [399]P44(a68)
% 53.99/54.04 [400]P44(a69)
% 53.99/54.04 [401]P44(a70)
% 53.99/54.04 [402]P44(a71)
% 53.99/54.04 [403]P45(a68)
% 53.99/54.04 [404]P45(a69)
% 53.99/54.04 [405]P45(a70)
% 53.99/54.04 [406]P45(a71)
% 53.99/54.04 [407]P42(a71)
% 53.99/54.04 [408]P27(a1)
% 53.99/54.04 [409]P27(a68)
% 53.99/54.04 [410]P27(a69)
% 53.99/54.04 [411]P27(a70)
% 53.99/54.04 [412]P27(a71)
% 53.99/54.04 [413]P37(a1)
% 53.99/54.04 [414]P37(a68)
% 53.99/54.04 [415]P37(a70)
% 53.99/54.04 [416]P37(a71)
% 53.99/54.04 [417]P38(a68)
% 53.99/54.04 [418]P38(a70)
% 53.99/54.04 [419]P60(a1)
% 53.99/54.04 [420]P60(a68)
% 53.99/54.04 [421]P60(a69)
% 53.99/54.04 [422]P60(a70)
% 53.99/54.04 [423]P23(a1)
% 53.99/54.04 [424]P23(a68)
% 53.99/54.04 [425]P23(a69)
% 53.99/54.04 [426]P23(a70)
% 53.99/54.04 [435]E(f4(a1,a73),f4(a1,a80))
% 53.99/54.04 [436]E(f4(a1,a29),f4(a1,a73))
% 53.99/54.04 [437]E(f4(a1,a32),f4(a1,a73))
% 53.99/54.04 [438]E(f25(a1,a5),f9(a1,a5))
% 53.99/54.04 [453]P10(a68,a81,f3(a68))
% 53.99/54.04 [454]P10(a68,a54,f3(a68))
% 53.99/54.04 [455]P10(a68,f2(a68),a81)
% 53.99/54.04 [456]P10(a68,f2(a68),a74)
% 53.99/54.04 [457]P10(a68,f2(a68),a54)
% 53.99/54.04 [458]P10(a68,f2(a68),a64)
% 53.99/54.04 [459]P10(a68,f2(a68),a33)
% 53.99/54.04 [473]P9(a70,f2(a70),f3(a70))
% 53.99/54.04 [474]P10(a70,f2(a70),f3(a70))
% 53.99/54.04 [577]~E(f2(a1),a83)
% 53.99/54.04 [578]~E(f2(a69),a78)
% 53.99/54.04 [579]~E(f2(a1),a76)
% 53.99/54.04 [580]~E(f2(a1),a5)
% 53.99/54.04 [581]~E(f3(a1),a5)
% 53.99/54.04 [582]~E(f2(a69),a44)
% 53.99/54.04 [583]~E(f2(a1),a46)
% 53.99/54.04 [584]~E(f3(a68),f2(a68))
% 53.99/54.04 [585]~E(f3(a70),f2(a70))
% 53.99/54.04 [594]~P11(a1,a1,f14(a1,a79))
% 53.99/54.04 [595]~P11(a1,a1,f14(a1,a73))
% 53.99/54.04 [597]~P11(a1,a1,f14(a1,a80))
% 53.99/54.04 [427]E(f13(f2(a68)),f2(a69))
% 53.99/54.04 [428]E(f13(f3(a68)),f3(a69))
% 53.99/54.04 [429]E(f24(f2(a68)),f2(a69))
% 53.99/54.04 [430]E(f24(f3(a68)),f3(a69))
% 53.99/54.04 [431]E(f25(a68,f2(a68)),f2(a68))
% 53.99/54.04 [432]E(f9(a70,f2(a70)),f2(a70))
% 53.99/54.04 [433]E(f26(a69,f2(a69)),f2(a68))
% 53.99/54.04 [434]E(f26(a69,f3(a69)),f3(a68))
% 53.99/54.04 [477]E(f53(f14(a1,a80),f2(a1)),f53(f14(a1,a73),a75))
% 53.99/54.04 [504]P10(a69,f11(a69,a78,f3(a69)),f4(a1,a73))
% 53.99/54.04 [526]P9(a68,f53(f53(f10(a68),a81),f27(a1,a83)),f53(f53(f10(a68),f3(a68)),f27(a1,a83)))
% 53.99/54.04 [556]E(f53(f14(a1,f22(a1,f25(a1,f53(f14(a1,a80),f2(a1))),a80)),f2(a1)),f3(a1))
% 53.99/54.04 [558]E(f8(a1,f11(a1,f3(a1),f53(f53(f10(a1),f53(f53(f20(a1),a83),a78)),a76)),f3(a1)),f8(a1,f2(a1),f3(a1)))
% 53.99/54.04 [586]~E(f53(f14(a1,a73),a75),f2(a1))
% 53.99/54.04 [587]~E(f53(f14(a1,a80),f2(a1)),f2(a1))
% 53.99/54.04 [593]~E(f11(a69,a78,f3(a69)),f4(a1,a73))
% 53.99/54.04 [469]E(f28(a1,f9(a68,f3(a68))),f9(a1,f3(a1)))
% 53.99/54.04 [470]E(f53(f53(f10(a1),a5),a5),f9(a1,f3(a1)))
% 53.99/54.04 [491]P10(a68,f2(a68),f53(f53(f20(a68),a81),a78))
% 53.99/54.04 [540]P9(a68,f27(a1,f53(f53(f10(a1),f28(a1,a81)),a83)),f27(a1,a83))
% 53.99/54.04 [514]E(f53(f53(f10(a1),f53(f53(f20(a1),a83),a78)),a76),f9(a1,f3(a1)))
% 53.99/54.04 [541]E(f4(a1,f22(a1,f25(a1,f53(f14(a1,a80),f2(a1))),a80)),f4(a1,a80))
% 53.99/54.04 [550]E(f4(a1,f22(a1,f25(a1,f53(f14(a1,a80),f2(a1))),a80)),f11(a69,f11(a69,f4(a1,a82),a78),f3(a69)))
% 53.99/54.04 [551]E(f4(a1,f22(a1,f25(a1,f53(f14(a1,a80),f2(a1))),a80)),f11(a69,f11(a69,f4(a1,a43),a44),f3(a69)))
% 53.99/54.04 [554]E(f4(a1,f17(a1,f3(a1),f15(a1,a76,f8(a69,a78,f3(a69))))),f11(a69,a78,f3(a69)))
% 53.99/54.04 [555]P9(a68,f27(a1,f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83))),a74)
% 53.99/54.04 [603]~P11(a1,a1,f14(a1,f22(a1,f25(a1,f53(f14(a1,a80),f2(a1))),a80)))
% 53.99/54.04 [604]~P11(a1,a1,f14(a1,f17(a1,f3(a1),f15(a1,a76,f8(a69,a78,f3(a69))))))
% 53.99/54.04 [543]E(f11(a1,f3(a1),f53(f53(f10(a1),f53(f53(f20(a1),a83),a78)),a76)),f2(a1))
% 53.99/54.04 [544]E(f11(a1,f3(a1),f53(f53(f10(a1),f53(f53(f20(a1),a65),a78)),a76)),f2(a1))
% 53.99/54.04 [559]E(f53(f14(a1,f17(a1,f3(a1),f15(a1,a76,f8(a69,a78,f3(a69))))),a34),f2(a1))
% 53.99/54.04 [561]P10(a68,a81,f25(a68,f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74)))
% 53.99/54.04 [562]P10(a68,a54,f25(a68,f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74)))
% 53.99/54.04 [563]P10(a68,f2(a68),f25(a68,f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74)))
% 53.99/54.04 [564]P10(a68,f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74)),f3(a68))
% 53.99/54.04 [573]E(f11(a1,f11(a1,f3(a1),f53(f53(f10(a1),f53(f53(f20(a1),f28(a1,a81)),a78)),f53(f53(f10(a1),f53(f53(f20(a1),a83),a78)),a76))),f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83)))),f11(a1,f28(a1,f8(a68,f3(a68),f53(f53(f20(a68),a81),a78))),f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83)))))
% 53.99/54.04 [605]~E(f53(f14(a1,f22(a1,f25(a1,f53(f14(a1,a80),f2(a1))),a80)),a35),f53(f14(a1,f22(a1,f25(a1,f53(f14(a1,a80),f2(a1))),a80)),a38))
% 53.99/54.04 [569]P10(a68,f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74))),f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f3(a68)))
% 53.99/54.04 [576]P9(a68,f27(a1,f11(a1,f28(a1,f8(a68,f3(a68),f53(f53(f20(a68),a81),a78))),f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83))))),f11(a68,f27(a1,f28(a1,f8(a68,f3(a68),f53(f53(f20(a68),a81),a78)))),f27(a1,f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83))))))
% 53.99/54.04 [606]~P9(a68,f27(a1,f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83)))),f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74))))
% 53.99/54.04 [570]E(f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),f27(a1,f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83)))))),f27(a1,f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83)))))
% 53.99/54.04 [571]E(f11(a1,f28(a1,f8(a68,f3(a68),f53(f53(f20(a68),a81),a78))),f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83)))),f11(a1,f3(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f11(a1,a76,f53(f53(f10(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83)))))))
% 53.99/54.04 [572]E(f11(a1,f11(a1,f3(a1),f53(f53(f10(a1),f53(f53(f20(a1),f28(a1,a81)),a78)),f53(f53(f10(a1),f53(f53(f20(a1),a83),a78)),a76))),f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83)))),f11(a1,f3(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f11(a1,a76,f53(f53(f10(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83)))))))
% 53.99/54.04 [574]E(f27(a1,f11(a1,f28(a1,f8(a68,f3(a68),f53(f53(f20(a68),a81),a78))),f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83))))),f27(a1,f11(a1,f3(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f11(a1,a76,f53(f53(f10(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83))))))))
% 53.99/54.04 [575]P9(a68,f27(a1,f11(a1,f3(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f11(a1,a76,f53(f53(f10(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83))))))),f11(a68,f7(a68,f8(a68,f3(a68),f53(f53(f20(a68),a81),a78))),f27(a1,f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83))))))
% 53.99/54.04 [447]P9(a68,x4471,x4471)
% 53.99/54.04 [448]P9(a69,x4481,x4481)
% 53.99/54.04 [449]P9(a70,x4491,x4491)
% 53.99/54.04 [589]~P10(a69,x5891,x5891)
% 53.99/54.04 [439]E(f27(a68,x4391),f7(a68,x4391))
% 53.99/54.04 [461]E(f8(a69,x4611,x4611),f2(a69))
% 53.99/54.04 [463]P9(a69,f2(a69),x4631)
% 53.99/54.04 [479]P9(a68,f2(a68),f26(a69,x4791))
% 53.99/54.04 [592]~P10(a69,x5921,f2(a69))
% 53.99/54.04 [598]~P10(a68,f26(a69,x5981),f2(a68))
% 53.99/54.04 [440]E(f13(f26(a69,x4401)),x4401)
% 53.99/54.04 [441]E(f24(f26(a69,x4411)),x4411)
% 53.99/54.04 [442]E(f9(a70,f9(a70,x4421)),x4421)
% 53.99/54.04 [443]E(f7(a68,f26(a69,x4431)),f26(a69,x4431))
% 53.99/54.04 [444]E(f53(f53(f10(a69),x4441),f3(a69)),x4441)
% 53.99/54.04 [445]E(f53(f53(f10(a70),x4451),f3(a70)),x4451)
% 53.99/54.04 [446]E(f53(f53(f10(a69),x4461),f2(a69)),f2(a69))
% 53.99/54.04 [464]E(f11(a69,x4641,f2(a69)),x4641)
% 53.99/54.04 [465]E(f11(a70,x4651,f2(a70)),x4651)
% 53.99/54.04 [466]E(f8(a69,x4661,f2(a69)),x4661)
% 53.99/54.04 [467]E(f11(a69,f2(a69),x4671),x4671)
% 53.99/54.04 [468]E(f11(a70,f2(a70),x4681),x4681)
% 53.99/54.04 [471]E(f8(a69,f2(a69),x4711),f2(a69))
% 53.99/54.04 [478]E(f11(a70,f9(a70,x4781),x4781),f2(a70))
% 53.99/54.04 [480]P9(a68,x4801,f26(a69,f13(x4801)))
% 53.99/54.04 [494]P9(a68,f9(a68,f27(a1,x4941)),f27(a1,x4941))
% 53.99/54.04 [501]E(f53(f14(a1,a73),f11(a1,a75,x5011)),f53(f14(a1,a80),x5011))
% 53.99/54.04 [502]E(f53(f14(a1,a73),f11(a1,a75,x5021)),f53(f14(a1,a29),x5021))
% 53.99/54.04 [503]E(f53(f14(a1,a73),f11(a1,a75,x5031)),f53(f14(a1,a32),x5031))
% 53.99/54.04 [509]P10(a68,f8(a68,x5091,f3(a68)),f26(a69,f24(x5091)))
% 53.99/54.04 [510]P10(a68,f2(a68),f11(a68,f3(a68),f7(a68,x5101)))
% 53.99/54.04 [515]P10(a68,x5151,f11(a68,f26(a69,f24(x5151)),f3(a68)))
% 53.99/54.04 [602]~P10(a68,f11(a68,f7(a68,x6021),f3(a68)),x6021)
% 53.99/54.04 [450]E(f53(f53(f10(a68),f3(a68)),x4501),x4501)
% 53.99/54.04 [451]E(f53(f53(f10(a69),f3(a69)),x4511),x4511)
% 53.99/54.04 [452]E(f53(f53(f10(a70),f3(a70)),x4521),x4521)
% 53.99/54.04 [460]E(f53(f53(f10(a69),f2(a69)),x4601),f2(a69))
% 53.99/54.04 [493]P9(a69,x4931,f53(f53(f10(a69),x4931),x4931))
% 53.99/54.04 [530]P9(a68,f27(a1,f53(f14(a1,a73),a75)),f27(a1,f53(f14(a1,a73),x5301)))
% 53.99/54.04 [535]P9(a68,f27(a1,f53(f14(a1,a80),f2(a1))),f27(a1,f53(f14(a1,a73),x5351)))
% 53.99/54.04 [565]E(f53(f53(f10(a1),f53(f14(a1,f22(a1,f25(a1,f53(f14(a1,a80),f2(a1))),a80)),x5651)),f53(f14(a1,a80),f2(a1))),f53(f14(a1,a80),x5651))
% 53.99/54.04 [601]~E(f11(a70,f11(a70,f3(a70),x6011),x6011),f2(a70))
% 53.99/54.04 [492]E(f53(f53(f10(a1),a5),f53(f53(f10(a1),a5),x4921)),f9(a1,x4921))
% 53.99/54.04 [527]P9(a69,x5271,f53(f53(f10(a69),x5271),f53(f53(f10(a69),x5271),x5271)))
% 53.99/54.04 [567]E(f11(a1,f53(f14(a1,f22(a1,f25(a1,f53(f14(a1,a80),f2(a1))),a80)),f2(a1)),f53(f53(f10(a1),f53(f53(f20(a1),x5671),a78)),f53(f14(a1,f17(a1,a76,a82)),x5671))),f53(f14(a1,f22(a1,f25(a1,f53(f14(a1,a80),f2(a1))),a80)),x5671))
% 53.99/54.04 [568]E(f11(a1,f53(f14(a1,f22(a1,f25(a1,f53(f14(a1,a80),f2(a1))),a80)),f2(a1)),f53(f53(f10(a1),f53(f53(f20(a1),x5681),a44)),f53(f14(a1,f17(a1,a46,a43)),x5681))),f53(f14(a1,f22(a1,f25(a1,f53(f14(a1,a80),f2(a1))),a80)),x5681))
% 53.99/54.04 [484]E(f11(a69,x4841,x4842),f11(a69,x4842,x4841))
% 53.99/54.04 [485]E(f11(a70,x4851,x4852),f11(a70,x4852,x4851))
% 53.99/54.04 [495]P9(a69,x4951,f11(a69,x4952,x4951))
% 53.99/54.04 [496]P9(a69,x4961,f11(a69,x4961,x4962))
% 53.99/54.04 [497]P9(a69,f8(a69,x4971,x4972),x4971)
% 53.99/54.04 [599]~P10(a69,f11(a69,x5991,x5992),x5992)
% 53.99/54.04 [600]~P10(a69,f11(a69,x6001,x6002),x6001)
% 53.99/54.04 [486]E(f11(a1,x4861,f9(a1,x4862)),f8(a1,x4861,x4862))
% 53.99/54.04 [488]E(f11(a68,x4881,f9(a68,x4882)),f8(a68,x4881,x4882))
% 53.99/54.04 [490]E(f11(a70,x4901,f9(a70,x4902)),f8(a70,x4901,x4902))
% 53.99/54.04 [498]E(f8(a69,f11(a69,x4981,x4982),x4982),x4981)
% 53.99/54.04 [499]E(f8(a69,f11(a69,x4991,x4992),x4991),x4992)
% 53.99/54.04 [500]E(f8(a69,x5001,f11(a69,x5001,x5002)),f2(a69))
% 53.99/54.04 [511]E(f11(a70,f9(a70,x5111),f9(a70,x5112)),f9(a70,f11(a70,x5111,x5112)))
% 53.99/54.04 [512]E(f11(a68,f26(a69,x5121),f26(a69,x5122)),f26(a69,f11(a69,x5121,x5122)))
% 53.99/54.04 [552]P9(a68,f27(a1,x5521),f11(a68,f27(a1,f11(a1,x5521,x5522)),f27(a1,x5522)))
% 53.99/54.04 [553]P9(a68,f8(a68,f27(a1,f11(a1,x5531,x5532)),f27(a1,x5531)),f27(a1,x5532))
% 53.99/54.04 [481]E(f53(f53(f10(a68),x4811),x4812),f53(f53(f10(a68),x4812),x4811))
% 53.99/54.04 [482]E(f53(f53(f10(a69),x4821),x4822),f53(f53(f10(a69),x4822),x4821))
% 53.99/54.04 [483]E(f53(f53(f10(a70),x4831),x4832),f53(f53(f10(a70),x4832),x4831))
% 53.99/54.04 [516]P9(a70,f2(a70),f53(f53(f20(a70),f7(a70,x5161)),x5162))
% 53.99/54.04 [528]E(f7(a68,f11(a68,x5281,f9(a68,x5282))),f7(a68,f11(a68,x5282,f9(a68,x5281))))
% 53.99/54.04 [506]E(f53(f53(f10(a70),f9(a70,x5061)),x5062),f9(a70,f53(f53(f10(a70),x5061),x5062)))
% 53.99/54.04 [507]E(f28(a1,f53(f53(f20(a68),x5071),x5072)),f53(f53(f20(a1),f28(a1,x5071)),x5072))
% 53.99/54.04 [508]E(f53(f53(f20(a68),f26(a69,x5081)),x5082),f26(a69,f53(f53(f20(a69),x5081),x5082)))
% 53.99/54.04 [513]E(f53(f53(f10(a68),f26(a69,x5131)),f26(a69,x5132)),f26(a69,f53(f53(f10(a69),x5131),x5132)))
% 53.99/54.04 [529]P9(a68,f9(a68,f53(f53(f10(a68),x5291),x5291)),f53(f53(f10(a68),x5292),x5292))
% 53.99/54.04 [518]E(f11(a69,x5181,f11(a69,x5182,x5183)),f11(a69,x5182,f11(a69,x5181,x5183)))
% 53.99/54.04 [519]E(f11(a70,x5191,f11(a70,x5192,x5193)),f11(a70,x5192,f11(a70,x5191,x5193)))
% 53.99/54.04 [520]E(f11(a69,f11(a69,x5201,x5202),x5203),f11(a69,x5201,f11(a69,x5202,x5203)))
% 53.99/54.04 [521]E(f11(a70,f11(a70,x5211,x5212),x5213),f11(a70,x5211,f11(a70,x5212,x5213)))
% 53.99/54.04 [522]E(f8(a69,f8(a69,x5221,x5222),x5223),f8(a69,x5221,f11(a69,x5222,x5223)))
% 53.99/54.04 [523]E(f8(a69,f8(a69,x5231,x5232),x5233),f8(a69,f8(a69,x5231,x5233),x5232))
% 53.99/54.04 [524]E(f8(a69,f11(a69,x5241,x5242),f11(a69,x5243,x5242)),f8(a69,x5241,x5243))
% 53.99/54.04 [525]E(f8(a69,f11(a69,x5251,x5252),f11(a69,x5251,x5253)),f8(a69,x5252,x5253))
% 53.99/54.04 [536]E(f11(a69,f53(f53(f10(a69),x5361),x5362),f53(f53(f10(a69),x5361),x5363)),f53(f53(f10(a69),x5361),f11(a69,x5362,x5363)))
% 53.99/54.04 [537]E(f8(a69,f53(f53(f10(a69),x5371),x5372),f53(f53(f10(a69),x5371),x5373)),f53(f53(f10(a69),x5371),f8(a69,x5372,x5373)))
% 53.99/54.04 [538]E(f11(a70,f53(f53(f10(a70),x5381),x5382),f53(f53(f10(a70),x5381),x5383)),f53(f53(f10(a70),x5381),f11(a70,x5382,x5383)))
% 53.99/54.04 [539]E(f8(a70,f53(f53(f10(a70),x5391),x5392),f53(f53(f10(a70),x5391),x5393)),f53(f53(f10(a70),x5391),f8(a70,x5392,x5393)))
% 53.99/54.04 [542]E(f53(f53(f10(a70),f53(f53(f20(a70),x5421),x5422)),f53(f53(f20(a70),x5421),x5423)),f53(f53(f20(a70),x5421),f11(a69,x5422,x5423)))
% 53.99/54.04 [545]E(f11(a68,f53(f53(f10(a68),x5451),x5452),f53(f53(f10(a68),x5453),x5452)),f53(f53(f10(a68),f11(a68,x5451,x5453)),x5452))
% 53.99/54.04 [546]E(f11(a69,f53(f53(f10(a69),x5461),x5462),f53(f53(f10(a69),x5463),x5462)),f53(f53(f10(a69),f11(a69,x5461,x5463)),x5462))
% 53.99/54.04 [547]E(f8(a69,f53(f53(f10(a69),x5471),x5472),f53(f53(f10(a69),x5473),x5472)),f53(f53(f10(a69),f8(a69,x5471,x5473)),x5472))
% 53.99/54.04 [548]E(f11(a70,f53(f53(f10(a70),x5481),x5482),f53(f53(f10(a70),x5483),x5482)),f53(f53(f10(a70),f11(a70,x5481,x5483)),x5482))
% 53.99/54.04 [549]E(f8(a70,f53(f53(f10(a70),x5491),x5492),f53(f53(f10(a70),x5493),x5492)),f53(f53(f10(a70),f8(a70,x5491,x5493)),x5492))
% 53.99/54.04 [531]E(f53(f53(f10(a68),f53(f53(f10(a68),x5311),x5312)),x5313),f53(f53(f10(a68),x5311),f53(f53(f10(a68),x5312),x5313)))
% 53.99/54.04 [532]E(f53(f53(f10(a69),f53(f53(f10(a69),x5321),x5322)),x5323),f53(f53(f10(a69),x5321),f53(f53(f10(a69),x5322),x5323)))
% 53.99/54.04 [533]E(f53(f53(f10(a70),f53(f53(f10(a70),x5331),x5332)),x5333),f53(f53(f10(a70),x5331),f53(f53(f10(a70),x5332),x5333)))
% 53.99/54.04 [534]E(f53(f53(f20(a70),f53(f53(f20(a70),x5341),x5342)),x5343),f53(f53(f20(a70),x5341),f53(f53(f10(a69),x5342),x5343)))
% 53.99/54.04 [517]E(f53(f53(f21(x5171,x5172,x5173),x5174),f2(a69)),x5172)
% 53.99/54.04 [560]P9(a68,f7(a68,f11(a68,f11(a68,x5601,x5602),f11(a68,f9(a68,x5603),f9(a68,x5604)))),f11(a68,f7(a68,f11(a68,x5601,f9(a68,x5603))),f7(a68,f11(a68,x5602,f9(a68,x5604)))))
% 53.99/54.04 [557]E(f11(a69,f53(f53(f10(a69),x5571),x5572),f11(a69,f53(f53(f10(a69),x5573),x5572),x5574)),f11(a69,f53(f53(f10(a69),f11(a69,x5571,x5573)),x5572),x5574))
% 53.99/54.04 [607]~P49(x6071)+P4(f72(x6071))
% 53.99/54.04 [608]~P49(x6081)+P49(f72(x6081))
% 53.99/54.04 [609]~P57(x6091)+P54(f72(x6091))
% 53.99/54.04 [610]~P49(x6101)+P28(f72(x6101))
% 53.99/54.04 [611]~P53(x6111)+P63(f72(x6111))
% 53.99/54.04 [612]~P59(x6121)+P68(f72(x6121))
% 53.99/54.04 [613]~P49(x6131)+P69(f72(x6131))
% 53.99/54.04 [614]~P59(x6141)+P81(f72(x6141))
% 53.99/54.04 [615]~P59(x6151)+P70(f72(x6151))
% 53.99/54.04 [616]~P53(x6161)+P78(f72(x6161))
% 53.99/54.04 [617]~P49(x6171)+P5(f72(x6171))
% 53.99/54.04 [618]~P57(x6181)+P64(f72(x6181))
% 53.99/54.04 [619]~P57(x6191)+P65(f72(x6191))
% 53.99/54.04 [620]~P52(x6201)+P71(f72(x6201))
% 53.99/54.04 [621]~P57(x6211)+P72(f72(x6211))
% 53.99/54.04 [622]~P57(x6221)+P57(f72(x6221))
% 53.99/54.04 [623]~P59(x6231)+P79(f72(x6231))
% 53.99/54.04 [624]~P53(x6241)+P50(f72(x6241))
% 53.99/54.04 [625]~P53(x6251)+P80(f72(x6251))
% 53.99/54.04 [626]~P57(x6261)+P61(f72(x6261))
% 53.99/54.04 [627]~P57(x6271)+P62(f72(x6271))
% 53.99/54.04 [628]~P57(x6281)+P73(f72(x6281))
% 53.99/54.04 [629]~P57(x6291)+P75(f72(x6291))
% 53.99/54.04 [630]~P57(x6301)+P74(f72(x6301))
% 53.99/54.04 [631]~P57(x6311)+P58(f72(x6311))
% 53.99/54.04 [632]~P57(x6321)+P67(f72(x6321))
% 53.99/54.04 [633]~P57(x6331)+P66(f72(x6331))
% 53.99/54.04 [634]~P59(x6341)+P59(f72(x6341))
% 53.99/54.04 [635]~P51(x6351)+P51(f72(x6351))
% 53.99/54.04 [636]~P29(x6361)+P29(f72(x6361))
% 53.99/54.04 [637]~P57(x6371)+P76(f72(x6371))
% 53.99/54.04 [638]~P51(x6381)+P77(f72(x6381))
% 53.99/54.04 [639]~P16(x6391)+P24(f72(x6391))
% 53.99/54.04 [640]~P53(x6401)+P53(f72(x6401))
% 53.99/54.04 [641]~P16(x6411)+P16(f72(x6411))
% 53.99/54.04 [642]~P57(x6421)+P39(f72(x6421))
% 53.99/54.04 [643]~P52(x6431)+P52(f72(x6431))
% 53.99/54.04 [644]~P17(x6441)+P17(f72(x6441))
% 53.99/54.04 [645]~P57(x6451)+P30(f72(x6451))
% 53.99/54.04 [646]~P57(x6461)+P18(f72(x6461))
% 53.99/54.04 [647]~P53(x6471)+P19(f72(x6471))
% 53.99/54.04 [648]~P23(x6481)+P21(f72(x6481))
% 53.99/54.04 [649]~P23(x6491)+P22(f72(x6491))
% 53.99/54.04 [650]~P17(x6501)+P20(f72(x6501))
% 53.99/54.04 [651]~P49(x6511)+P31(f72(x6511))
% 53.99/54.04 [652]~P17(x6521)+P25(f72(x6521))
% 53.99/54.04 [653]~P57(x6531)+P26(f72(x6531))
% 53.99/54.04 [654]~P57(x6541)+P33(f72(x6541))
% 53.99/54.04 [655]~P57(x6551)+P34(f72(x6551))
% 53.99/54.04 [656]~P57(x6561)+P35(f72(x6561))
% 53.99/54.04 [657]~P57(x6571)+P32(f72(x6571))
% 53.99/54.04 [658]~P57(x6581)+P36(f72(x6581))
% 53.99/54.04 [659]~P57(x6591)+P40(f72(x6591))
% 53.99/54.04 [660]~P57(x6601)+P41(f72(x6601))
% 53.99/54.04 [661]~P57(x6611)+P44(f72(x6611))
% 53.99/54.04 [662]~P57(x6621)+P45(f72(x6621))
% 53.99/54.04 [663]~P16(x6631)+P27(f72(x6631))
% 53.99/54.04 [664]~P16(x6641)+P37(f72(x6641))
% 53.99/54.04 [665]~P57(x6651)+P38(f72(x6651))
% 53.99/54.04 [666]~P49(x6661)+P60(f72(x6661))
% 53.99/54.04 [667]~P23(x6671)+P23(f72(x6671))
% 53.99/54.04 [669]~P69(x6691)+~E(f3(x6691),f2(x6691))
% 53.99/54.04 [670]~E(x6701,f2(a69))+E(f26(a69,x6701),f2(a68))
% 53.99/54.04 [671]E(x6711,f2(a69))+~E(f26(a69,x6711),f2(a68))
% 53.99/54.04 [749]E(x7491,f2(a69))+P10(a69,f2(a69),x7491)
% 53.99/54.04 [790]~P2(x7901)+P10(a68,f2(a68),f47(x7901))
% 53.99/54.04 [797]E(f7(a68,x7971),x7971)+P10(a68,x7971,f2(a68))
% 53.99/54.04 [798]E(f7(a70,x7981),x7981)+P10(a70,x7981,f2(a70))
% 53.99/54.04 [807]~P54(x8071)+P9(x8071,f2(x8071),f3(x8071))
% 53.99/54.04 [808]~P54(x8081)+P10(x8081,f2(x8081),f3(x8081))
% 53.99/54.04 [835]~E(x8351,f2(a69))+P9(a68,f26(a69,x8351),f2(a68))
% 53.99/54.04 [836]~E(x8361,f2(a70))+P10(a70,f7(a70,x8361),f3(a70))
% 53.99/54.04 [879]E(x8791,f2(a69))+~P9(a69,x8791,f2(a69))
% 53.99/54.04 [888]E(f13(x8881),f2(a69))+~P9(a68,x8881,f2(a68))
% 53.99/54.04 [889]E(f24(x8891),f2(a69))+~P9(a68,x8891,f2(a68))
% 53.99/54.04 [936]~P54(x9361)+~P9(x9361,f3(x9361),f2(x9361))
% 53.99/54.04 [937]~P54(x9371)+~P10(x9371,f3(x9371),f2(x9371))
% 53.99/54.04 [939]E(f9(a68,x9391),f7(a68,x9391))+~P10(a68,x9391,f2(a68))
% 53.99/54.04 [940]E(f9(a70,x9401),f7(a70,x9401))+~P10(a70,x9401,f2(a70))
% 53.99/54.04 [982]E(x9821,f2(a69))+~P9(a68,f26(a69,x9821),f2(a68))
% 53.99/54.04 [983]E(x9831,f2(a70))+~P10(a70,f7(a70,x9831),f3(a70))
% 53.99/54.04 [1021]~P10(a70,f2(a70),x10211)+P9(a70,f3(a70),x10211)
% 53.99/54.04 [1022]~P9(a70,f3(a70),x10221)+P10(a70,f2(a70),x10221)
% 53.99/54.04 [1024]P10(a68,f39(x10241),x10241)+~P10(a68,f2(a68),x10241)
% 53.99/54.04 [1051]~P9(a68,x10511,f3(a68))+P9(a69,f13(x10511),f3(a69))
% 53.99/54.04 [1052]~P10(a68,f2(a68),x10521)+P10(a68,f39(x10521),f3(a68))
% 53.99/54.04 [1053]~P9(a68,f3(a68),x10531)+P9(a69,f3(a69),f24(x10531))
% 53.99/54.04 [1054]~P10(a68,f2(a68),x10541)+P10(a68,f2(a68),f39(x10541))
% 53.99/54.04 [1059]~P9(a69,f13(x10591),f3(a69))+P9(a68,x10591,f3(a68))
% 53.99/54.04 [1060]~P9(a69,f3(a69),f24(x10601))+P9(a68,f3(a68),x10601)
% 53.99/54.04 [1065]~P10(a69,f2(a69),x10651)+P10(a68,f2(a68),f26(a69,x10651))
% 53.99/54.04 [1109]P10(a69,f2(a69),x11091)+~P10(a68,f2(a68),f26(a69,x11091))
% 53.99/54.04 [672]~P3(x6721)+E(f28(x6721,f2(a68)),f2(x6721))
% 53.99/54.04 [673]~P3(x6731)+E(f28(x6731,f3(a68)),f3(x6731))
% 53.99/54.04 [674]~P48(x6741)+E(f27(x6741,f2(x6741)),f2(a68))
% 53.99/54.04 [675]~P1(x6751)+E(f27(x6751,f3(x6751)),f3(a68))
% 53.99/54.04 [679]~P55(x6791)+E(f25(x6791,f2(x6791)),f2(x6791))
% 53.99/54.04 [680]~P7(x6801)+E(f25(x6801,f2(x6801)),f2(x6801))
% 53.99/54.04 [681]~P56(x6811)+E(f25(x6811,f3(x6811)),f3(x6811))
% 53.99/54.04 [682]~P30(x6821)+E(f7(x6821,f2(x6821)),f2(x6821))
% 53.99/54.04 [683]~P57(x6831)+E(f7(x6831,f3(x6831)),f3(x6831))
% 53.99/54.04 [684]~P24(x6841)+E(f9(x6841,f2(x6841)),f2(x6841))
% 53.99/54.04 [685]~P48(x6851)+E(f12(x6851,f2(x6851)),f2(x6851))
% 53.99/54.04 [686]~P38(x6861)+E(f12(x6861,f2(x6861)),f2(x6861))
% 53.99/54.04 [687]~P1(x6871)+E(f12(x6871,f3(x6871)),f3(x6871))
% 53.99/54.04 [745]~P57(x7451)+~P12(x7451,f2(f72(x7451)))
% 53.99/54.04 [819]~P28(x8191)+E(f21(x8191,f3(x8191),f10(x8191)),f20(x8191))
% 53.99/54.04 [1083]~P9(a68,f2(a68),x10831)+P10(a68,x10831,f26(a69,f57(x10831)))
% 53.99/54.04 [1084]~P9(a68,f2(a68),x10841)+P9(a68,f26(a69,f24(x10841)),x10841)
% 53.99/54.04 [1161]~P54(x11611)+P10(x11611,f2(x11611),f11(x11611,f3(x11611),f3(x11611)))
% 53.99/54.04 [1290]~P9(a70,f2(a70),x12901)+P10(a70,f2(a70),f11(a70,f3(a70),x12901))
% 53.99/54.04 [739]~P16(x7391)+E(f9(f72(x7391),f2(f72(x7391))),f2(f72(x7391)))
% 53.99/54.04 [890]~P49(x8901)+E(f17(x8901,f3(x8901),f2(f72(x8901))),f3(f72(x8901)))
% 53.99/54.04 [891]~P29(x8911)+E(f17(x8911,f2(x8911),f2(f72(x8911))),f2(f72(x8911)))
% 53.99/54.04 [906]E(x9061,f2(a68))+E(f53(f53(f10(a68),f25(a68,x9061)),x9061),f3(a68))
% 53.99/54.04 [1034]E(x10341,f2(a68))+P10(a68,f2(a68),f53(f53(f10(a68),x10341),x10341))
% 53.99/54.04 [1245]~E(x12451,f2(a68))+~P10(a68,f2(a68),f53(f53(f10(a68),x12451),x12451))
% 53.99/54.04 [1299]~P9(a68,f2(a68),x12991)+E(f13(f11(a68,x12991,f3(a68))),f11(a69,f13(x12991),f3(a69)))
% 53.99/54.04 [1300]~P9(a68,f2(a68),x13001)+E(f24(f11(a68,x13001,f3(a68))),f11(a69,f24(x13001),f3(a69)))
% 53.99/54.04 [1433]~P9(a68,f27(a1,x14331),f27(a1,a83))+P9(a68,f27(a1,f53(f14(a1,a82),x14331)),a74)
% 53.99/54.04 [1434]~P9(a68,f27(a1,x14341),f27(a1,a83))+P9(a68,f27(a1,f53(f14(a1,a82),x14341)),a64)
% 53.99/54.04 [1435]~P9(a68,f27(a1,x14351),f27(a1,a83))+P9(a68,f27(a1,f53(f14(a1,a82),x14351)),a33)
% 53.99/54.04 [1514]~P9(a68,f2(a68),x15141)+P9(a68,f26(a69,f8(a69,f57(x15141),f3(a69))),x15141)
% 53.99/54.04 [1598]~P10(a70,x15981,f2(a70))+P10(a70,f11(a70,f11(a70,f3(a70),x15981),x15981),f2(a70))
% 53.99/54.04 [1711]P10(a70,x17111,f2(a70))+~P10(a70,f11(a70,f11(a70,f3(a70),x17111),x17111),f2(a70))
% 53.99/54.04 [1801]~P10(a68,f27(a1,f53(f14(a1,a80),x18011)),f27(a1,f53(f14(a1,a80),f2(a1))))+P10(a68,f27(a1,f53(f14(a1,f22(a1,f25(a1,f53(f14(a1,a80),f2(a1))),a80)),x18011)),f3(a68))
% 53.99/54.04 [1804]P10(a68,f27(a1,f53(f14(a1,a80),x18041)),f27(a1,f53(f14(a1,a80),f2(a1))))+~P10(a68,f27(a1,f53(f14(a1,f22(a1,f25(a1,f53(f14(a1,a80),f2(a1))),a80)),x18041)),f3(a68))
% 53.99/54.04 [740]~E(x7401,x7402)+P9(a68,x7401,x7402)
% 53.99/54.04 [743]~E(x7431,x7432)+P9(a69,x7431,x7432)
% 53.99/54.04 [759]~P40(x7591)+P9(x7591,x7592,x7592)
% 53.99/54.04 [760]~P49(x7601)+P13(x7601,x7602,x7602)
% 53.99/54.04 [845]~E(x8451,x8452)+~P10(a68,x8451,x8452)
% 53.99/54.04 [850]~E(x8501,x8502)+~P10(a69,x8501,x8502)
% 53.99/54.04 [851]~E(x8511,x8512)+~P10(a70,x8511,x8512)
% 53.99/54.04 [883]~P10(x8831,x8832,x8832)+~P40(x8831)
% 53.99/54.04 [924]P9(a68,x9242,x9241)+P9(a68,x9241,x9242)
% 53.99/54.04 [925]P9(a69,x9252,x9251)+P9(a69,x9251,x9252)
% 53.99/54.04 [926]P9(a70,x9262,x9261)+P9(a70,x9261,x9262)
% 53.99/54.04 [991]~P10(a68,x9911,x9912)+P9(a68,x9911,x9912)
% 53.99/54.04 [996]~P10(a69,x9961,x9962)+P9(a69,x9961,x9962)
% 53.99/54.04 [997]~P10(a70,x9971,x9972)+P9(a70,x9971,x9972)
% 53.99/54.04 [700]~P40(x7002)+P40(f77(x7001,x7002))
% 53.99/54.04 [701]~P44(x7012)+P44(f77(x7011,x7012))
% 53.99/54.04 [702]~P45(x7022)+P45(f77(x7021,x7022))
% 53.99/54.04 [703]~P42(x7032)+P42(f77(x7031,x7032))
% 53.99/54.04 [704]~P27(x7042)+P27(f77(x7041,x7042))
% 53.99/54.04 [705]~P37(x7052)+P37(f77(x7051,x7052))
% 53.99/54.04 [717]E(x7171,x7172)+~E(f26(a69,x7171),f26(a69,x7172))
% 53.99/54.04 [769]~P24(x7691)+E(f8(x7691,x7692,x7692),f2(x7691))
% 53.99/54.04 [776]~P49(x7761)+P13(x7761,x7762,f2(x7761))
% 53.99/54.04 [777]~P49(x7771)+P13(x7771,f3(x7771),x7772)
% 53.99/54.04 [795]P9(a70,x7952,x7951)+E(f16(x7951,x7952),f2(a70))
% 53.99/54.04 [818]~E(x8182,f9(a68,x8181))+E(f11(a68,x8181,x8182),f2(a68))
% 53.99/54.04 [852]~P30(x8521)+P9(x8521,x8522,f7(x8521,x8522))
% 53.99/54.04 [856]~E(f11(a69,x8562,x8561),x8562)+E(x8561,f2(a69))
% 53.99/54.04 [858]~P48(x8581)+P9(a68,f2(a68),f27(x8581,x8582))
% 53.99/54.04 [859]~P2(x8592)+P10(a68,f2(a68),f49(x8591,x8592))
% 53.99/54.04 [860]~P2(x8602)+P10(a68,f2(a68),f51(x8601,x8602))
% 53.99/54.04 [863]~P10(a69,x8632,x8631)+~E(x8631,f2(a69))
% 53.99/54.04 [872]E(x8721,f2(a69))+~E(f11(a69,x8722,x8721),f2(a69))
% 53.99/54.04 [873]E(x8731,f2(a69))+~E(f11(a69,x8731,x8732),f2(a69))
% 53.99/54.04 [884]~P30(x8841)+P9(x8841,f2(x8841),f7(x8841,x8842))
% 53.99/54.04 [912]E(x9121,f9(a68,x9122))+~E(f11(a68,x9122,x9121),f2(a68))
% 53.99/54.04 [941]~P30(x9411)+P9(x9411,f9(x9411,x9412),f7(x9411,x9412))
% 53.99/54.04 [989]~P48(x9891)+~P10(a68,f27(x9891,x9892),f2(a68))
% 53.99/54.04 [1006]~P9(a69,x10061,x10062)+E(f8(a69,x10061,x10062),f2(a69))
% 53.99/54.04 [1013]P9(a69,x10131,x10132)+~E(f8(a69,x10131,x10132),f2(a69))
% 53.99/54.04 [1019]~P30(x10191)+~P10(x10191,f7(x10191,x10192),f2(x10191))
% 53.99/54.04 [1030]~P9(a68,x10301,x10302)+P9(a69,f13(x10301),f13(x10302))
% 53.99/54.04 [1031]~P9(a68,x10311,x10312)+P9(a69,f24(x10311),f24(x10312))
% 53.99/54.04 [1045]~P9(a70,x10452,x10451)+E(f8(a70,x10451,x10452),f16(x10451,x10452))
% 53.99/54.04 [1077]P9(a68,x10771,x10772)+~P9(a68,f7(a68,x10771),x10772)
% 53.99/54.04 [1087]P9(a69,x10871,f24(x10872))+~P9(a68,f26(a69,x10871),x10872)
% 53.99/54.04 [1088]P9(a69,f13(x10881),x10882)+~P9(a68,x10881,f26(a69,x10882))
% 53.99/54.04 [1115]~P9(a69,x11151,x11152)+P9(a68,f26(a69,x11151),f26(a69,x11152))
% 53.99/54.04 [1116]~P10(a69,x11161,x11162)+P10(a68,f26(a69,x11161),f26(a69,x11162))
% 53.99/54.04 [1160]~P9(a68,f7(a68,x11602),x11601)+P9(a68,f9(a68,x11601),x11602)
% 53.99/54.04 [1185]P9(a69,x11851,x11852)+~P9(a68,f26(a69,x11851),f26(a69,x11852))
% 53.99/54.04 [1186]P10(a69,x11861,x11862)+~P10(a68,f26(a69,x11861),f26(a69,x11862))
% 53.99/54.04 [1269]~P10(a69,x12692,x12691)+P10(a69,f2(a69),f8(a69,x12691,x12692))
% 53.99/54.04 [1270]~P9(a68,x12701,x12702)+P9(a68,f8(a68,x12701,x12702),f2(a68))
% 53.99/54.04 [1271]~P10(a70,x12711,x12712)+P10(a70,f8(a70,x12711,x12712),f2(a70))
% 53.99/54.04 [1322]~P9(a68,f9(a68,x13221),x13222)+P9(a68,f2(a68),f11(a68,x13221,x13222))
% 53.99/54.04 [1323]~P10(a68,f9(a68,x13231),x13232)+P10(a68,f2(a68),f11(a68,x13231,x13232))
% 53.99/54.04 [1324]~P9(a68,x13242,f9(a68,x13241))+P9(a68,f11(a68,x13241,x13242),f2(a68))
% 53.99/54.04 [1325]~P10(a68,x13252,f9(a68,x13251))+P10(a68,f11(a68,x13251,x13252),f2(a68))
% 53.99/54.04 [1358]P10(a69,x13581,x13582)+~P10(a69,f2(a69),f8(a69,x13582,x13581))
% 53.99/54.04 [1359]P9(a68,x13591,x13592)+~P9(a68,f8(a68,x13591,x13592),f2(a68))
% 53.99/54.04 [1360]P10(a70,x13601,x13602)+~P10(a70,f8(a70,x13601,x13602),f2(a70))
% 53.99/54.04 [1388]P9(a68,x13881,f9(a68,x13882))+~P9(a68,f11(a68,x13882,x13881),f2(a68))
% 53.99/54.04 [1389]P10(a68,x13891,f9(a68,x13892))+~P10(a68,f11(a68,x13892,x13891),f2(a68))
% 53.99/54.04 [1390]P9(a68,f9(a68,x13901),x13902)+~P9(a68,f2(a68),f11(a68,x13901,x13902))
% 53.99/54.04 [1391]P10(a68,f9(a68,x13911),x13912)+~P10(a68,f2(a68),f11(a68,x13911,x13912))
% 53.99/54.04 [724]~P55(x7241)+E(f25(x7241,f25(x7241,x7242)),x7242)
% 53.99/54.04 [725]~P24(x7251)+E(f9(x7251,f9(x7251,x7252)),x7252)
% 53.99/54.04 [726]~P42(x7261)+E(f9(x7261,f9(x7261,x7262)),x7262)
% 53.99/54.04 [746]~P1(x7461)+E(f27(x7461,f28(x7461,x7462)),f7(a68,x7462))
% 53.99/54.04 [747]~P48(x7471)+E(f7(a68,f27(x7471,x7472)),f27(x7471,x7472))
% 53.99/54.04 [755]~P48(x7551)+E(f27(x7551,f9(x7551,x7552)),f27(x7551,x7552))
% 53.99/54.04 [756]~P30(x7561)+E(f7(x7561,f7(x7561,x7562)),f7(x7561,x7562))
% 53.99/54.04 [757]~P30(x7571)+E(f7(x7571,f9(x7571,x7572)),f7(x7571,x7572))
% 53.99/54.04 [758]~P57(x7581)+E(f12(x7581,f12(x7581,x7582)),f12(x7581,x7582))
% 53.99/54.04 [762]~P4(x7621)+E(f53(f53(f20(x7621),x7622),f3(a69)),x7622)
% 53.99/54.04 [763]~P49(x7631)+E(f53(f53(f20(x7631),x7632),f3(a69)),x7632)
% 53.99/54.04 [770]~P4(x7701)+E(f53(f53(f10(x7701),x7702),f3(x7701)),x7702)
% 53.99/54.04 [771]~P49(x7711)+E(f53(f53(f10(x7711),x7712),f3(x7711)),x7712)
% 53.99/54.04 [772]~P5(x7721)+E(f53(f53(f10(x7721),x7722),f3(x7721)),x7722)
% 53.99/54.04 [773]~P49(x7731)+E(f53(f53(f20(x7731),x7732),f2(a69)),f3(x7731))
% 53.99/54.04 [774]~P28(x7741)+E(f53(f53(f20(x7741),x7742),f2(a69)),f3(x7741))
% 53.99/54.04 [778]~P49(x7781)+E(f11(x7781,x7782,f2(x7781)),x7782)
% 53.99/54.04 [779]~P17(x7791)+E(f11(x7791,x7792,f2(x7791)),x7792)
% 53.99/54.04 [780]~P25(x7801)+E(f11(x7801,x7802,f2(x7801)),x7802)
% 53.99/54.04 [781]~P24(x7811)+E(f8(x7811,x7812,f2(x7811)),x7812)
% 53.99/54.04 [782]~P49(x7821)+E(f11(x7821,f2(x7821),x7822),x7822)
% 53.99/54.04 [783]~P17(x7831)+E(f11(x7831,f2(x7831),x7832),x7832)
% 53.99/54.04 [784]~P25(x7841)+E(f11(x7841,f2(x7841),x7842),x7842)
% 53.99/54.04 [785]~P49(x7851)+E(f22(x7851,f3(x7851),x7852),x7852)
% 53.99/54.04 [792]~P2(x7921)+E(f53(f53(f10(x7921),x7922),f2(x7921)),f2(x7921))
% 53.99/54.04 [793]~P49(x7931)+E(f53(f53(f10(x7931),x7932),f2(x7931)),f2(x7931))
% 53.99/54.04 [794]~P63(x7941)+E(f53(f53(f10(x7941),x7942),f2(x7941)),f2(x7941))
% 53.99/54.04 [820]~P53(x8201)+E(f22(x8201,f2(x8201),x8202),f2(f72(x8201)))
% 53.99/54.04 [821]~P29(x8211)+E(f15(x8211,f2(x8211),x8212),f2(f72(x8211)))
% 53.99/54.04 [828]~P24(x8281)+E(f8(x8281,f2(x8281),x8282),f9(x8281,x8282))
% 53.99/54.04 [830]~E(x8301,x8302)+E(f11(a68,x8301,f9(a68,x8302)),f2(a68))
% 53.99/54.04 [832]~P1(x8321)+E(f12(x8321,f28(x8321,x8322)),f28(x8321,f12(a68,x8322)))
% 53.99/54.04 [833]~P3(x8331)+E(f28(x8331,f9(a68,x8332)),f9(x8331,f28(x8331,x8332)))
% 53.99/54.04 [842]~P15(x8421)+E(f25(x8421,f7(x8421,x8422)),f7(x8421,f25(x8421,x8422)))
% 53.99/54.04 [843]~P55(x8431)+E(f25(x8431,f9(x8431,x8432)),f9(x8431,f25(x8431,x8432)))
% 53.99/54.04 [844]~P48(x8441)+E(f12(x8441,f9(x8441,x8442)),f9(x8441,f12(x8441,x8442)))
% 53.99/54.04 [876]~P24(x8761)+E(f11(x8761,x8762,f9(x8761,x8762)),f2(x8761))
% 53.99/54.04 [877]~P24(x8771)+E(f11(x8771,f9(x8771,x8772),x8772),f2(x8771))
% 53.99/54.04 [878]~P16(x8781)+E(f11(x8781,f9(x8781,x8782),x8782),f2(x8781))
% 53.99/54.04 [909]~P57(x9091)+E(f53(f53(f10(x9091),x9092),f12(x9091,x9092)),f7(x9091,x9092))
% 53.99/54.04 [977]E(x9771,x9772)+~E(f11(a68,x9771,f9(a68,x9772)),f2(a68))
% 53.99/54.04 [981]E(x9811,x9812)+~E(f53(x9811,f41(x9812,x9811)),f53(x9812,f41(x9812,x9811)))
% 53.99/54.04 [1001]~P57(x10011)+E(f53(f53(f10(x10011),f12(x10011,x10012)),f7(x10011,x10012)),x10012)
% 53.99/54.04 [1023]~P30(x10231)+P9(x10231,f9(x10231,f7(x10231,x10232)),f2(x10231))
% 53.99/54.04 [1062]~P9(a69,x10621,x10622)+E(f11(a69,x10621,f63(x10622,x10621)),x10622)
% 53.99/54.04 [1063]~P9(a69,x10631,x10632)+E(f11(a69,x10631,f30(x10632,x10631)),x10632)
% 53.99/54.04 [1064]~E(x10641,x10642)+P10(a70,x10641,f11(a70,x10642,f3(a70)))
% 53.99/54.04 [1108]~P54(x11081)+P10(x11081,x11082,f11(x11081,x11082,f3(x11081)))
% 53.99/54.04 [1189]P10(a69,x11892,x11891)+E(f11(a69,x11891,f8(a69,x11892,x11891)),x11892)
% 53.99/54.04 [1264]~P9(a69,x12641,x12642)+E(f11(a69,x12641,f8(a69,x12642,x12641)),x12642)
% 53.99/54.04 [1265]~P9(a69,x12652,x12651)+E(f8(a69,x12651,f8(a69,x12651,x12652)),x12652)
% 53.99/54.04 [1266]~P9(a69,x12662,x12661)+E(f11(a69,f8(a69,x12661,x12662),x12662),x12661)
% 53.99/54.04 [1272]~P10(a70,x12721,x12722)+P9(a70,x12721,f8(a70,x12722,f3(a70)))
% 53.99/54.04 [1273]~P9(a70,x12731,x12732)+P10(a70,x12731,f11(a70,x12732,f3(a70)))
% 53.99/54.04 [1274]~P10(a70,x12741,x12742)+P10(a70,x12741,f11(a70,x12742,f3(a70)))
% 53.99/54.04 [1276]~P10(a70,x12761,x12762)+P9(a70,f11(a70,x12761,f3(a70)),x12762)
% 53.99/54.04 [1346]~P9(a69,x13462,x13461)+E(f8(a68,f26(a69,x13461),f26(a69,x13462)),f26(a69,f8(a69,x13461,x13462)))
% 53.99/54.04 [1361]P9(a70,x13611,x13612)+~P10(a70,x13611,f11(a70,x13612,f3(a70)))
% 53.99/54.04 [1362]P10(a70,x13621,x13622)+~P9(a70,x13621,f8(a70,x13622,f3(a70)))
% 53.99/54.04 [1363]P10(a70,x13631,x13632)+~P9(a70,f11(a70,x13631,f3(a70)),x13632)
% 53.99/54.04 [1365]~P9(a69,x13651,x13652)+P10(a68,f26(a69,x13651),f11(a68,f26(a69,x13652),f3(a68)))
% 53.99/54.04 [1366]~P10(a69,x13661,x13662)+P9(a68,f11(a68,f26(a69,x13661),f3(a68)),f26(a69,x13662))
% 53.99/54.04 [1429]P10(a68,x14291,f26(a69,x14292))+~P9(a69,f11(a69,f24(x14291),f3(a69)),x14292)
% 53.99/54.04 [1517]P9(a69,x15171,x15172)+~P10(a68,f26(a69,x15171),f11(a68,f26(a69,x15172),f3(a68)))
% 53.99/54.04 [1518]P10(a69,x15181,x15182)+~P9(a68,f11(a68,f26(a69,x15181),f3(a68)),f26(a69,x15182))
% 53.99/54.04 [733]~E(x7332,f2(a69))+E(f53(f53(f10(a69),x7331),x7332),f2(a69))
% 53.99/54.04 [735]~E(x7351,f2(a69))+E(f53(f53(f10(a69),x7351),x7352),f2(a69))
% 53.99/54.04 [736]~E(x7362,f2(a69))+E(f53(f53(f20(a69),x7361),x7362),f3(a69))
% 53.99/54.04 [751]~P43(x7511)+E(f53(f53(f10(x7511),x7512),x7512),x7512)
% 53.99/54.04 [804]~P4(x8041)+E(f53(f53(f10(x8041),f3(x8041)),x8042),x8042)
% 53.99/54.04 [805]~P49(x8051)+E(f53(f53(f10(x8051),f3(x8051)),x8052),x8052)
% 53.99/54.04 [806]~P5(x8061)+E(f53(f53(f10(x8061),f3(x8061)),x8062),x8062)
% 53.99/54.04 [812]~P2(x8121)+E(f53(f53(f10(x8121),f2(x8121)),x8122),f2(x8121))
% 53.99/54.04 [813]~P49(x8131)+E(f53(f53(f10(x8131),f2(x8131)),x8132),f2(x8131))
% 53.99/54.04 [814]~P63(x8141)+E(f53(f53(f10(x8141),f2(x8141)),x8142),f2(x8141))
% 53.99/54.04 [815]~P4(x8151)+E(f53(f53(f20(x8151),f3(x8151)),x8152),f3(x8151))
% 53.99/54.04 [826]E(x8261,f3(a69))+~E(f53(f53(f10(a69),x8262),x8261),f3(a69))
% 53.99/54.04 [827]E(x8271,f3(a69))+~E(f53(f53(f10(a69),x8271),x8272),f3(a69))
% 53.99/54.04 [839]~P17(x8391)+E(f11(f72(x8391),x8392,f2(f72(x8391))),x8392)
% 53.99/54.04 [840]~P16(x8401)+E(f8(f72(x8401),x8402,f2(f72(x8401))),x8402)
% 53.99/54.04 [841]~P17(x8411)+E(f11(f72(x8411),f2(f72(x8411)),x8412),x8412)
% 53.99/54.04 [867]~P53(x8671)+E(f22(x8671,x8672,f2(f72(x8671))),f2(f72(x8671)))
% 53.99/54.04 [868]~P53(x8681)+E(f23(x8681,f2(f72(x8681)),x8682),f2(f72(x8681)))
% 53.99/54.04 [869]~P53(x8691)+E(f19(x8691,f2(f72(x8691)),x8692),f2(f72(x8691)))
% 53.99/54.04 [870]~P53(x8701)+E(f6(x8701,f2(f72(x8701)),x8702),f2(f72(x8701)))
% 53.99/54.04 [919]~P16(x9191)+E(f8(f72(x9191),f2(f72(x9191)),x9192),f9(f72(x9191),x9192))
% 53.99/54.04 [935]~P53(x9351)+E(f53(f53(f10(f72(x9351)),x9352),f2(f72(x9351))),f2(f72(x9351)))
% 53.99/54.04 [1000]~P29(x10001)+E(f17(x10001,x10002,f2(f72(x10001))),f15(x10001,x10002,f2(a69)))
% 53.99/54.04 [1058]~E(x10582,f2(a69))+P10(a69,f2(a69),f53(f53(f20(a69),x10581),x10582))
% 53.99/54.04 [1075]~P61(x10751)+P9(x10751,f2(x10751),f53(f53(f10(x10751),x10752),x10752))
% 53.99/54.04 [1135]~P57(x11351)+E(f53(f53(f10(x11351),f7(x11351,x11352)),f7(x11351,x11352)),f53(f53(f10(x11351),x11352),x11352))
% 53.99/54.04 [1241]~P9(a70,f2(a70),x12411)+P9(a70,f2(a70),f53(f53(f20(a70),x12411),x12412))
% 53.99/54.04 [1243]~P10(a69,f2(a69),x12431)+P10(a69,f2(a69),f53(f53(f20(a69),x12431),x12432))
% 53.99/54.04 [1263]E(x12631,f2(a70))+P10(a70,f2(a70),f53(f53(f20(a70),f7(a70,x12631)),x12632))
% 53.99/54.04 [1268]~E(x12682,f2(a69))+P10(a70,f2(a70),f53(f53(f20(a70),f7(a70,x12681)),x12682))
% 53.99/54.04 [1297]~P61(x12971)+~P10(x12971,f53(f53(f10(x12971),x12972),x12972),f2(x12971))
% 53.99/54.04 [1332]P10(a69,f2(a69),x13321)+~P10(a69,f2(a69),f53(f53(f10(a69),x13322),x13321))
% 53.99/54.04 [1333]P10(a69,f2(a69),x13331)+~P10(a69,f2(a69),f53(f53(f10(a69),x13331),x13332))
% 53.99/54.04 [1355]~P9(a68,f2(a68),x13551)+E(f13(f11(a68,x13551,f26(a69,x13552))),f11(a69,f13(x13551),x13552))
% 53.99/54.04 [1356]~P9(a68,f2(a68),x13561)+E(f24(f11(a68,x13561,f26(a69,x13562))),f11(a69,f24(x13561),x13562))
% 53.99/54.04 [1403]~P9(a68,f26(a69,x14032),x14031)+E(f13(f8(a68,x14031,f26(a69,x14032))),f8(a69,f13(x14031),x14032))
% 53.99/54.04 [1404]~P9(a68,f26(a69,x14042),x14041)+E(f24(f8(a68,x14041,f26(a69,x14042))),f8(a69,f24(x14041),x14042))
% 53.99/54.04 [1688]~P77(x16881)+E(f53(f53(f10(x16881),f11(x16881,x16882,f3(x16881))),f8(x16881,x16882,f3(x16881))),f8(x16881,f53(f53(f10(x16881),x16882),x16882),f3(x16881)))
% 53.99/54.04 [853]~P53(x8531)+E(f53(f14(x8531,f2(f72(x8531))),x8532),f2(x8531))
% 53.99/54.04 [854]~P49(x8541)+E(f53(f14(x8541,f3(f72(x8541))),x8542),f3(x8541))
% 53.99/54.04 [984]~P53(x9841)+E(f53(f53(f10(f72(x9841)),f2(f72(x9841))),x9842),f2(f72(x9841)))
% 53.99/54.04 [1033]~P51(x10331)+E(f53(f53(f10(x10331),f9(x10331,f3(x10331))),x10332),f9(x10331,x10332))
% 53.99/54.04 [1099]E(f7(a70,x10991),f3(a70))+~E(f7(a70,f53(f53(f10(a70),x10991),x10992)),f3(a70))
% 53.99/54.04 [1118]~E(f26(a69,f24(x11181)),x11181)+E(f24(f53(f53(f20(a68),x11181),x11182)),f53(f53(f20(a69),f24(x11181)),x11182))
% 53.99/54.04 [1472]E(x14721,f2(a68))+~E(f11(a68,f53(f53(f10(a68),x14722),x14722),f53(f53(f10(a68),x14721),x14721)),f2(a68))
% 53.99/54.04 [1473]E(x14731,f2(a68))+~E(f11(a68,f53(f53(f10(a68),x14731),x14731),f53(f53(f10(a68),x14732),x14732)),f2(a68))
% 53.99/54.04 [1475]~P49(x14751)+E(f11(x14751,x14752,x14752),f53(f53(f10(x14751),f11(x14751,f3(x14751),f3(x14751))),x14752))
% 53.99/54.04 [1499]E(x14991,f2(a69))+E(f53(f53(f10(a69),x14992),f53(f53(f20(a69),x14992),f8(a69,x14991,f3(a69)))),f53(f53(f20(a69),x14992),x14991))
% 53.99/54.04 [1757]~P9(a68,f2(a68),x17572)+P9(a68,f11(a68,f53(f53(f10(a68),f26(a69,x17571)),x17572),f3(a68)),f53(f53(f20(a68),f11(a68,x17572,f3(a68))),x17571))
% 53.99/54.04 [1708]E(x17081,f2(a69))+E(f11(a69,x17082,f53(f53(f10(a69),f8(a69,x17081,f3(a69))),x17082)),f53(f53(f10(a69),x17081),x17082))
% 53.99/54.04 [948]~P49(x9481)+E(f11(x9481,x9482,x9483),f11(x9481,x9483,x9482))
% 53.99/54.04 [1003]P9(a69,x10031,x10032)+~E(x10032,f11(a69,x10031,x10033))
% 53.99/54.04 [1066]E(x10661,x10662)+~E(f11(a69,x10663,x10661),f11(a69,x10663,x10662))
% 53.99/54.04 [1067]E(x10671,x10672)+~E(f11(a69,x10671,x10673),f11(a69,x10672,x10673))
% 53.99/54.04 [1251]~P9(a69,x12511,x12513)+P9(a69,x12511,f11(a69,x12512,x12513))
% 53.99/54.04 [1253]~P9(a69,x12531,x12532)+P9(a69,x12531,f11(a69,x12532,x12533))
% 53.99/54.04 [1255]~P10(a69,x12551,x12553)+P10(a69,x12551,f11(a69,x12552,x12553))
% 53.99/54.04 [1257]~P10(a69,x12571,x12572)+P10(a69,x12571,f11(a69,x12572,x12573))
% 53.99/54.04 [1258]~P10(a69,x12581,x12583)+P10(a69,f8(a69,x12581,x12582),x12583)
% 53.99/54.04 [1283]~P10(a68,f2(a68),x12833)+P10(a68,f2(a68),f59(x12831,x12832,x12833))
% 53.99/54.04 [1349]P9(a69,x13491,x13492)+~P9(a69,f11(a69,x13493,x13491),x13492)
% 53.99/54.04 [1350]P9(a69,x13501,x13502)+~P9(a69,f11(a69,x13501,x13503),x13502)
% 53.99/54.04 [1351]P10(a69,x13511,x13512)+~P10(a69,f11(a69,x13511,x13513),x13512)
% 53.99/54.04 [1415]~P9(a68,x14152,x14153)+P9(a68,f11(a68,x14151,x14152),f11(a68,x14151,x14153))
% 53.99/54.04 [1416]~P9(a69,x14162,x14163)+P9(a69,f11(a69,x14161,x14162),f11(a69,x14161,x14163))
% 53.99/54.04 [1417]~P9(a69,x14171,x14173)+P9(a69,f11(a69,x14171,x14172),f11(a69,x14173,x14172))
% 53.99/54.04 [1418]~P9(a69,x14183,x14182)+P9(a69,f8(a69,x14181,x14182),f8(a69,x14181,x14183))
% 53.99/54.04 [1419]~P9(a69,x14191,x14193)+P9(a69,f8(a69,x14191,x14192),f8(a69,x14193,x14192))
% 53.99/54.04 [1420]~P9(a70,x14202,x14203)+P9(a70,f11(a70,x14201,x14202),f11(a70,x14201,x14203))
% 53.99/54.04 [1421]~P10(a69,x14212,x14213)+P10(a69,f11(a69,x14211,x14212),f11(a69,x14211,x14213))
% 53.99/54.04 [1422]~P10(a69,x14221,x14223)+P10(a69,f11(a69,x14221,x14222),f11(a69,x14223,x14222))
% 53.99/54.04 [1423]~P10(a70,x14231,x14233)+P10(a70,f11(a70,x14231,x14232),f11(a70,x14233,x14232))
% 53.99/54.04 [1495]~P9(a69,f8(a69,x14951,x14953),x14952)+P9(a69,x14951,f11(a69,x14952,x14953))
% 53.99/54.04 [1496]~P10(a69,f11(a69,x14961,x14963),x14962)+P10(a69,x14961,f8(a69,x14962,x14963))
% 53.99/54.04 [1497]~P9(a69,x14971,f11(a69,x14973,x14972))+P9(a69,f8(a69,x14971,x14972),x14973)
% 53.99/54.04 [1498]~P10(a69,x14981,f8(a69,x14983,x14982))+P10(a69,f11(a69,x14981,x14982),x14983)
% 53.99/54.04 [1595]P9(a69,x15951,x15952)+~P9(a69,f11(a69,x15953,x15951),f11(a69,x15953,x15952))
% 53.99/54.04 [1596]P10(a69,x15961,x15962)+~P10(a69,f11(a69,x15963,x15961),f11(a69,x15963,x15962))
% 53.99/54.04 [958]P11(x9581,x9582,x9583)+~E(f53(x9583,f52(x9583)),f53(x9583,f55(x9583)))
% 53.99/54.04 [1015]~P51(x10151)+E(f11(x10151,x10152,f9(x10151,x10153)),f8(x10151,x10152,x10153))
% 53.99/54.04 [1016]~P24(x10161)+E(f11(x10161,x10162,f9(x10161,x10163)),f8(x10161,x10162,x10163))
% 53.99/54.04 [1017]~P16(x10171)+E(f11(x10171,x10172,f9(x10171,x10173)),f8(x10171,x10172,x10173))
% 53.99/54.04 [1018]~P24(x10181)+E(f8(x10181,x10182,f9(x10181,x10183)),f11(x10181,x10182,x10183))
% 53.99/54.04 [1070]~P24(x10701)+E(f11(x10701,f8(x10701,x10702,x10703),x10703),x10702)
% 53.99/54.04 [1071]~P24(x10711)+E(f8(x10711,f11(x10711,x10712,x10713),x10713),x10712)
% 53.99/54.04 [1114]~P16(x11141)+E(f9(x11141,f8(x11141,x11142,x11143)),f8(x11141,x11143,x11142))
% 53.99/54.04 [1159]~P24(x11591)+E(f11(x11591,f9(x11591,x11592),f11(x11591,x11592,x11593)),x11593)
% 53.99/54.04 [1191]~P52(x11911)+E(f9(f72(x11911),f22(x11911,x11912,x11913)),f22(x11911,f9(x11911,x11912),x11913))
% 53.99/54.04 [1192]~P16(x11921)+E(f9(f72(x11921),f15(x11921,x11922,x11923)),f15(x11921,f9(x11921,x11922),x11923))
% 53.99/54.04 [1226]~P3(x12261)+E(f11(x12261,f28(x12261,x12262),f28(x12261,x12263)),f28(x12261,f11(a68,x12262,x12263)))
% 53.99/54.04 [1227]~P3(x12271)+E(f8(x12271,f28(x12271,x12272),f28(x12271,x12273)),f28(x12271,f8(a68,x12272,x12273)))
% 53.99/54.04 [1229]~P24(x12291)+E(f11(x12291,f9(x12291,x12292),f9(x12291,x12293)),f9(x12291,f11(x12291,x12293,x12292)))
% 53.99/54.04 [1230]~P16(x12301)+E(f11(x12301,f9(x12301,x12302),f9(x12301,x12303)),f9(x12301,f11(x12301,x12302,x12303)))
% 53.99/54.04 [1231]~P16(x12311)+E(f8(x12311,f9(x12311,x12312),f9(x12311,x12313)),f9(x12311,f8(x12311,x12312,x12313)))
% 53.99/54.04 [1281]~P48(x12811)+E(f27(x12811,f8(x12811,x12812,x12813)),f27(x12811,f8(x12811,x12813,x12812)))
% 53.99/54.04 [1282]~P30(x12821)+E(f7(x12821,f8(x12821,x12822,x12823)),f7(x12821,f8(x12821,x12823,x12822)))
% 53.99/54.04 [1490]~P9(a69,x14902,x14903)+E(f8(a69,f11(a69,x14901,x14902),x14903),f8(a69,x14901,f8(a69,x14903,x14902)))
% 53.99/54.04 [1491]~P9(a69,x14913,x14912)+E(f11(a69,x14911,f8(a69,x14912,x14913)),f8(a69,f11(a69,x14911,x14912),x14913))
% 53.99/54.04 [1493]~P9(a69,x14932,x14931)+E(f11(a69,f8(a69,x14931,x14932),x14933),f8(a69,f11(a69,x14931,x14933),x14932))
% 53.99/54.04 [1560]~P9(a69,x15603,x15602)+P9(a69,x15601,f8(a69,f11(a69,x15602,x15601),x15603))
% 53.99/54.04 [1619]~P48(x16191)+P9(a68,f27(x16191,f11(x16191,x16192,x16193)),f11(a68,f27(x16191,x16192),f27(x16191,x16193)))
% 53.99/54.04 [1620]~P48(x16201)+P9(a68,f27(x16201,f8(x16201,x16202,x16203)),f11(a68,f27(x16201,x16202),f27(x16201,x16203)))
% 53.99/54.04 [1621]~P48(x16211)+P9(a68,f8(a68,f27(x16211,x16212),f27(x16211,x16213)),f27(x16211,f11(x16211,x16212,x16213)))
% 53.99/54.04 [1622]~P48(x16221)+P9(a68,f8(a68,f27(x16221,x16222),f27(x16221,x16223)),f27(x16221,f8(x16221,x16222,x16223)))
% 53.99/54.04 [1633]~P30(x16331)+P9(x16331,f7(x16331,f11(x16331,x16332,x16333)),f11(x16331,f7(x16331,x16332),f7(x16331,x16333)))
% 53.99/54.04 [1634]~P30(x16341)+P9(x16341,f7(x16341,f8(x16341,x16342,x16343)),f11(x16341,f7(x16341,x16342),f7(x16341,x16343)))
% 53.99/54.04 [1635]~P30(x16351)+P9(x16351,f8(x16351,f7(x16351,x16352),f7(x16351,x16353)),f7(x16351,f8(x16351,x16353,x16352)))
% 53.99/54.04 [1636]~P30(x16361)+P9(x16361,f8(x16361,f7(x16361,x16362),f7(x16361,x16363)),f7(x16361,f8(x16361,x16362,x16363)))
% 53.99/54.04 [1788]~P59(x17881)+P13(f72(x17881),f53(f53(f20(f72(x17881)),f17(x17881,f9(x17881,x17882),f17(x17881,f3(x17881),f2(f72(x17881))))),f18(x17881,x17882,x17883)),x17883)
% 53.99/54.04 [903]~E(x9032,f2(a69))+E(f53(f53(f10(a69),x9031),x9032),f53(f53(f10(a69),x9033),x9032))
% 53.99/54.04 [905]~E(x9051,f2(a69))+E(f53(f53(f10(a69),x9051),x9052),f53(f53(f10(a69),x9051),x9053))
% 53.99/54.04 [934]~P49(x9341)+E(f53(f53(f10(x9341),x9342),x9343),f53(f53(f10(x9341),x9343),x9342))
% 53.99/54.04 [1134]~P71(x11341)+E(f53(f53(f10(x11341),f9(x11341,x11342)),x11343),f53(f53(f10(x11341),x11342),f9(x11341,x11343)))
% 53.99/54.04 [1136]~P71(x11361)+E(f53(f53(f10(x11361),f9(x11361,x11362)),f9(x11361,x11363)),f53(f53(f10(x11361),x11362),x11363))
% 53.99/54.04 [1212]~P24(x12121)+E(f11(x12121,x12122,f11(x12121,f9(x12121,x12122),x12123)),x12123)
% 53.99/54.04 [1217]~P52(x12171)+E(f22(x12171,x12172,f9(f72(x12171),x12173)),f9(f72(x12171),f22(x12171,x12172,x12173)))
% 53.99/54.04 [1285]~P16(x12851)+E(f17(x12851,f9(x12851,x12852),f9(f72(x12851),x12853)),f9(f72(x12851),f17(x12851,x12852,x12853)))
% 53.99/54.04 [1318]~P57(x13181)+P9(x13181,f2(x13181),f53(f53(f20(x13181),f7(x13181,x13182)),x13183))
% 53.99/54.04 [1335]P10(a69,f2(a69),x13351)+P9(a69,f53(f53(f10(a69),x13352),x13351),f53(f53(f10(a69),x13353),x13351))
% 53.99/54.04 [1336]P10(a69,f2(a69),x13361)+P9(a69,f53(f53(f10(a69),x13361),x13362),f53(f53(f10(a69),x13361),x13363))
% 53.99/54.04 [1369]~P9(a69,x13692,x13693)+P9(a69,f53(f53(f10(a69),x13691),x13692),f53(f53(f10(a69),x13691),x13693))
% 53.99/54.04 [1371]~P9(a69,x13711,x13713)+P9(a69,f53(f53(f10(a69),x13711),x13712),f53(f53(f10(a69),x13713),x13712))
% 53.99/54.04 [1408]~P30(x14081)+E(f7(x14081,f11(x14081,f7(x14081,x14082),f7(x14081,x14083))),f11(x14081,f7(x14081,x14082),f7(x14081,x14083)))
% 53.99/54.04 [1523]P10(a69,x15231,x15232)+~P10(a69,f53(f53(f10(a69),x15233),x15231),f53(f53(f10(a69),x15233),x15232))
% 53.99/54.04 [1524]P10(a69,x15241,x15242)+~P10(a69,f53(f53(f10(a69),x15241),x15243),f53(f53(f10(a69),x15242),x15243))
% 53.99/54.04 [1527]P10(a69,f2(a69),x15271)+~P10(a69,f53(f53(f10(a69),x15272),x15271),f53(f53(f10(a69),x15273),x15271))
% 53.99/54.04 [1528]P10(a69,f2(a69),x15281)+~P10(a69,f53(f53(f10(a69),x15281),x15282),f53(f53(f10(a69),x15281),x15283))
% 53.99/54.04 [1695]~P53(x16951)+E(f17(x16951,f53(f14(x16951,x16952),x16953),f23(x16951,x16952,x16953)),f11(f72(x16951),x16952,f22(x16951,x16953,f23(x16951,x16952,x16953))))
% 53.99/54.04 [1723]~P48(x17231)+P9(a68,f7(a68,f8(a68,f27(x17231,x17232),f27(x17231,x17233))),f27(x17231,f8(x17231,x17232,x17233)))
% 53.99/54.04 [1724]~P30(x17241)+P9(x17241,f7(x17241,f8(x17241,f7(x17241,x17242),f7(x17241,x17243))),f7(x17241,f8(x17241,x17242,x17243)))
% 53.99/54.04 [1167]~P71(x11671)+E(f53(f53(f10(x11671),x11672),f9(x11671,x11673)),f9(x11671,f53(f53(f10(x11671),x11672),x11673)))
% 53.99/54.04 [1169]~P2(x11691)+E(f53(f53(f10(x11691),x11692),f9(x11691,x11693)),f9(x11691,f53(f53(f10(x11691),x11692),x11693)))
% 53.99/54.04 [1190]~P43(x11901)+E(f53(f53(f10(x11901),x11902),f53(f53(f10(x11901),x11902),x11903)),f53(f53(f10(x11901),x11902),x11903))
% 53.99/54.04 [1205]~P52(x12051)+E(f53(f14(x12051,f9(f72(x12051),x12052)),x12053),f9(x12051,f53(f14(x12051,x12052),x12053)))
% 53.99/54.04 [1206]~P3(x12061)+E(f28(x12061,f53(f53(f20(a68),x12062),x12063)),f53(f53(f20(x12061),f28(x12061,x12062)),x12063))
% 53.99/54.04 [1213]~P47(x12131)+E(f27(x12131,f53(f53(f20(x12131),x12132),x12133)),f53(f53(f20(a68),f27(x12131,x12132)),x12133))
% 53.99/54.04 [1218]~P55(x12181)+E(f53(f53(f20(x12181),f25(x12181,x12182)),x12183),f25(x12181,f53(f53(f20(x12181),x12182),x12183)))
% 53.99/54.04 [1219]~P57(x12191)+E(f53(f53(f20(x12191),f7(x12191,x12192)),x12193),f7(x12191,f53(f53(f20(x12191),x12192),x12193)))
% 53.99/54.04 [1220]~P71(x12201)+E(f53(f53(f10(x12201),f9(x12201,x12202)),x12203),f9(x12201,f53(f53(f10(x12201),x12202),x12203)))
% 53.99/54.04 [1222]~P2(x12221)+E(f53(f53(f10(x12221),f9(x12221,x12222)),x12223),f9(x12221,f53(f53(f10(x12221),x12222),x12223)))
% 53.99/54.04 [1262]~P3(x12621)+E(f53(f53(f10(x12621),f28(x12621,x12622)),f28(x12621,x12623)),f28(x12621,f53(f53(f10(a68),x12622),x12623)))
% 53.99/54.04 [1277]~P47(x12771)+E(f53(f53(f10(a68),f27(x12771,x12772)),f27(x12771,x12773)),f27(x12771,f53(f53(f10(x12771),x12772),x12773)))
% 53.99/54.04 [1286]~P7(x12861)+E(f53(f53(f10(x12861),f25(x12861,x12862)),f25(x12861,x12863)),f25(x12861,f53(f53(f10(x12861),x12862),x12863)))
% 53.99/54.04 [1287]~P57(x12871)+E(f53(f53(f10(x12871),f7(x12871,x12872)),f7(x12871,x12873)),f7(x12871,f53(f53(f10(x12871),x12872),x12873)))
% 53.99/54.04 [1288]~P47(x12881)+E(f53(f53(f10(x12881),f12(x12881,x12882)),f12(x12881,x12883)),f12(x12881,f53(f53(f10(x12881),x12882),x12883)))
% 53.99/54.04 [1289]~P57(x12891)+E(f53(f53(f10(x12891),f12(x12891,x12892)),f12(x12891,x12893)),f12(x12891,f53(f53(f10(x12891),x12892),x12893)))
% 53.99/54.04 [1414]~P57(x14141)+E(f7(x14141,f53(f53(f20(x14141),f9(x14141,x14142)),x14143)),f7(x14141,f53(f53(f20(x14141),x14142),x14143)))
% 53.99/54.04 [1586]~P49(x15861)+E(f11(x15861,x15862,f53(f53(f10(x15861),x15863),x15862)),f53(f53(f10(x15861),f11(x15861,x15863,f3(x15861))),x15862))
% 53.99/54.04 [1587]~P49(x15871)+E(f11(x15871,f53(f53(f10(x15871),x15872),x15873),x15873),f53(f53(f10(x15871),f11(x15871,x15872,f3(x15871))),x15873))
% 53.99/54.04 [1609]~P1(x16091)+P9(a68,f27(x16091,f53(f53(f20(x16091),x16092),x16093)),f53(f53(f20(a68),f27(x16091,x16092)),x16093))
% 53.99/54.04 [1657]~P2(x16571)+P9(a68,f27(x16571,f53(f53(f10(x16571),x16572),x16573)),f53(f53(f10(a68),f27(x16571,x16573)),f51(x16572,x16571)))
% 53.99/54.04 [1658]~P2(x16581)+P9(a68,f27(x16581,f53(f53(f10(x16581),x16582),x16583)),f53(f53(f10(a68),f27(x16581,x16582)),f27(x16581,x16583)))
% 53.99/54.04 [1659]~P2(x16591)+P9(a68,f27(x16591,f53(f53(f10(x16591),x16592),x16593)),f53(f53(f10(a68),f27(x16591,x16592)),f49(x16593,x16591)))
% 53.99/54.04 [1689]~P61(x16891)+P9(x16891,f2(x16891),f11(x16891,f53(f53(f10(x16891),x16892),x16892),f53(f53(f10(x16891),x16893),x16893)))
% 53.99/54.04 [1728]~P77(x17281)+E(f53(f53(f10(x17281),f53(f53(f20(x17281),f9(x17281,f3(x17281))),x17282)),f53(f53(f20(x17281),x17283),x17282)),f53(f53(f20(x17281),f9(x17281,x17283)),x17282))
% 53.99/54.04 [1738]~P61(x17381)+~P10(x17381,f11(x17381,f53(f53(f10(x17381),x17382),x17382),f53(f53(f10(x17381),x17383),x17383)),f2(x17381))
% 53.99/54.04 [1767]~P2(x17671)+P9(a68,f27(x17671,f53(f53(f10(x17671),x17672),x17673)),f53(f53(f10(a68),f53(f53(f10(a68),f27(x17671,x17672)),f27(x17671,x17673))),f47(x17671)))
% 53.99/54.04 [1797]~P51(x17971)+E(f11(f72(x17971),f53(f53(f10(f72(x17971)),f17(x17971,f9(x17971,x17972),f17(x17971,f3(x17971),f2(f72(x17971))))),f23(x17971,x17973,x17972)),f17(x17971,f53(f14(x17971,x17973),x17972),f2(f72(x17971)))),x17973)
% 53.99/54.04 [1522]~P4(x15221)+E(f53(f53(f10(x15221),f53(f53(f20(x15221),x15222),x15223)),x15222),f53(f53(f10(x15221),x15222),f53(f53(f20(x15221),x15222),x15223)))
% 53.99/54.04 [1802]~P10(a70,f2(a70),x18023)+P10(a70,x18021,f11(a70,x18022,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x18022,x18021)),f3(a70))),x18023)))
% 53.99/54.04 [1803]~P10(a70,f2(a70),x18033)+P10(a70,f8(a70,x18031,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x18031,x18032)),f3(a70))),x18033)),x18032)
% 53.99/54.04 [1392]~P49(x13921)+E(f11(x13921,x13922,f11(x13921,x13923,x13924)),f11(x13921,x13923,f11(x13921,x13922,x13924)))
% 53.99/54.04 [1394]~P49(x13941)+E(f11(x13941,f11(x13941,x13942,x13943),x13944),f11(x13941,x13942,f11(x13941,x13943,x13944)))
% 53.99/54.04 [1395]~P20(x13951)+E(f11(x13951,f11(x13951,x13952,x13953),x13954),f11(x13951,x13952,f11(x13951,x13953,x13954)))
% 53.99/54.04 [1396]~P49(x13961)+E(f11(x13961,f11(x13961,x13962,x13963),x13964),f11(x13961,f11(x13961,x13962,x13964),x13963))
% 53.99/54.04 [1513]~P53(x15131)+E(f23(x15131,f17(x15131,x15132,x15133),x15134),f17(x15131,f53(f14(x15131,x15133),x15134),f23(x15131,x15133,x15134)))
% 53.99/54.04 [1542]~P53(x15421)+E(f17(x15421,f53(f53(f10(x15421),x15422),x15423),f22(x15421,x15422,x15424)),f22(x15421,x15422,f17(x15421,x15423,x15424)))
% 53.99/54.04 [1544]~P53(x15441)+E(f11(f72(x15441),f22(x15441,x15442,x15443),f22(x15441,x15444,x15443)),f22(x15441,f11(x15441,x15442,x15444),x15443))
% 53.99/54.04 [1545]~P52(x15451)+E(f8(f72(x15451),f22(x15451,x15452,x15453),f22(x15451,x15454,x15453)),f22(x15451,f8(x15451,x15452,x15454),x15453))
% 53.99/54.04 [1546]~P17(x15461)+E(f11(f72(x15461),f15(x15461,x15462,x15463),f15(x15461,x15464,x15463)),f15(x15461,f11(x15461,x15462,x15464),x15463))
% 53.99/54.04 [1547]~P16(x15471)+E(f8(f72(x15471),f15(x15471,x15472,x15473),f15(x15471,x15474,x15473)),f15(x15471,f8(x15471,x15472,x15474),x15473))
% 53.99/54.04 [1004]~P37(x10042)+E(f53(f9(f77(x10041,x10042),x10043),x10044),f9(x10042,f53(x10043,x10044)))
% 53.99/54.04 [1476]~P53(x14761)+E(f53(f14(x14761,x14762),f53(f14(x14761,x14763),x14764)),f53(f14(x14761,f19(x14761,x14762,x14763)),x14764))
% 53.99/54.04 [1486]~P53(x14861)+E(f53(f53(f10(x14861),x14862),f53(f14(x14861,x14863),x14864)),f53(f14(x14861,f22(x14861,x14862,x14863)),x14864))
% 53.99/54.04 [1589]~P53(x15891)+E(f11(f72(x15891),f22(x15891,x15892,x15893),f22(x15891,x15892,x15894)),f22(x15891,x15892,f11(f72(x15891),x15893,x15894)))
% 53.99/54.04 [1590]~P52(x15901)+E(f8(f72(x15901),f22(x15901,x15902,x15903),f22(x15901,x15902,x15904)),f22(x15901,x15902,f8(f72(x15901),x15903,x15904)))
% 53.99/54.04 [1722]~P53(x17221)+E(f11(f72(x17221),f17(x17221,x17222,f2(f72(x17221))),f53(f53(f10(f72(x17221)),x17223),f19(x17221,x17224,x17223))),f19(x17221,f17(x17221,x17222,x17224),x17223))
% 53.99/54.04 [1735]~P53(x17351)+E(f11(f72(x17351),f22(x17351,x17352,f6(x17351,x17353,x17352)),f17(x17351,x17354,f6(x17351,x17353,x17352))),f6(x17351,f17(x17351,x17354,x17353),x17352))
% 53.99/54.04 [1367]~P49(x13671)+E(f53(f53(f10(x13671),x13672),f53(f53(f10(x13671),x13673),x13674)),f53(f53(f10(x13671),x13673),f53(f53(f10(x13671),x13672),x13674)))
% 53.99/54.04 [1380]~P53(x13801)+E(f22(x13801,f53(f53(f10(x13801),x13802),x13803),x13804),f22(x13801,x13802,f22(x13801,x13803,x13804)))
% 53.99/54.04 [1381]~P53(x13811)+E(f15(x13811,f53(f53(f10(x13811),x13812),x13813),x13814),f22(x13811,x13812,f15(x13811,x13813,x13814)))
% 53.99/54.04 [1516]~P49(x15161)+E(f53(f53(f10(x15161),x15162),f53(f53(f20(x15161),x15163),x15164)),f53(f14(x15161,f15(x15161,x15162,x15164)),x15163))
% 53.99/54.04 [1530]~P2(x15301)+E(f11(x15301,f53(f53(f10(x15301),x15302),x15303),f53(f53(f10(x15301),x15302),x15304)),f53(f53(f10(x15301),x15302),f11(x15301,x15303,x15304)))
% 53.99/54.04 [1531]~P49(x15311)+E(f11(x15311,f53(f53(f10(x15311),x15312),x15313),f53(f53(f10(x15311),x15312),x15314)),f53(f53(f10(x15311),x15312),f11(x15311,x15313,x15314)))
% 53.99/54.04 [1533]~P2(x15331)+E(f8(x15331,f53(f53(f10(x15331),x15332),x15333),f53(f53(f10(x15331),x15332),x15334)),f53(f53(f10(x15331),x15332),f8(x15331,x15333,x15334)))
% 53.99/54.04 [1616]~P53(x16161)+E(f11(x16161,f53(f14(x16161,x16162),x16163),f53(f14(x16161,x16164),x16163)),f53(f14(x16161,f11(f72(x16161),x16162,x16164)),x16163))
% 53.99/54.04 [1617]~P52(x16171)+E(f8(x16171,f53(f14(x16171,x16172),x16173),f53(f14(x16171,x16174),x16173)),f53(f14(x16171,f8(f72(x16171),x16172,x16174)),x16173))
% 53.99/54.04 [1640]~P4(x16401)+E(f53(f53(f10(x16401),f53(f53(f20(x16401),x16402),x16403)),f53(f53(f20(x16401),x16402),x16404)),f53(f53(f20(x16401),x16402),f11(a69,x16403,x16404)))
% 53.99/54.04 [1641]~P49(x16411)+E(f53(f53(f10(x16411),f53(f53(f20(x16411),x16412),x16413)),f53(f53(f20(x16411),x16412),x16414)),f53(f53(f20(x16411),x16412),f11(a69,x16413,x16414)))
% 53.99/54.04 [1651]~P2(x16511)+E(f11(x16511,f53(f53(f10(x16511),x16512),x16513),f53(f53(f10(x16511),x16514),x16513)),f53(f53(f10(x16511),f11(x16511,x16512,x16514)),x16513))
% 53.99/54.04 [1653]~P50(x16531)+E(f11(x16531,f53(f53(f10(x16531),x16532),x16533),f53(f53(f10(x16531),x16534),x16533)),f53(f53(f10(x16531),f11(x16531,x16532,x16534)),x16533))
% 53.99/54.04 [1655]~P2(x16551)+E(f8(x16551,f53(f53(f10(x16551),x16552),x16553),f53(f53(f10(x16551),x16554),x16553)),f53(f53(f10(x16551),f8(x16551,x16552,x16554)),x16553))
% 53.99/54.04 [1656]~P49(x16561)+E(f11(x16561,f53(f53(f10(x16561),x16562),x16563),f53(f53(f10(x16561),x16564),x16563)),f53(f53(f10(x16561),f11(x16561,x16562,x16564)),x16563))
% 53.99/54.04 [1687]~P53(x16871)+E(f11(x16871,x16872,f53(f53(f10(x16871),x16873),f53(f14(x16871,x16874),x16873))),f53(f14(x16871,f17(x16871,x16872,x16874)),x16873))
% 53.99/54.04 [1487]~P53(x14871)+E(f22(x14871,x14872,f53(f53(f10(f72(x14871)),x14873),x14874)),f53(f53(f10(f72(x14871)),x14873),f22(x14871,x14872,x14874)))
% 53.99/54.04 [1511]~P49(x15111)+E(f53(f53(f20(x15111),f53(f53(f20(x15111),x15112),x15113)),x15114),f53(f53(f20(x15111),x15112),f53(f53(f10(a69),x15113),x15114)))
% 53.99/54.04 [1512]~P4(x15121)+E(f53(f53(f20(x15121),f53(f53(f20(x15121),x15122),x15123)),x15124),f53(f53(f20(x15121),x15122),f53(f53(f10(a69),x15123),x15124)))
% 53.99/54.04 [1520]~P49(x15201)+E(f53(f53(f10(x15201),f53(f53(f10(x15201),x15202),x15203)),x15204),f53(f53(f10(x15201),x15202),f53(f53(f10(x15201),x15203),x15204)))
% 53.99/54.04 [1521]~P19(x15211)+E(f53(f53(f10(x15211),f53(f53(f10(x15211),x15212),x15213)),x15214),f53(f53(f10(x15211),x15212),f53(f53(f10(x15211),x15213),x15214)))
% 53.99/54.04 [1618]~P53(x16181)+E(f22(x16181,x16182,f53(f53(f10(f72(x16181)),x16183),x16184)),f53(f53(f10(f72(x16181)),f22(x16181,x16182,x16183)),x16184))
% 53.99/54.04 [1639]~P49(x16391)+E(f53(f53(f10(x16391),f53(f53(f10(x16391),x16392),x16393)),x16394),f53(f53(f10(x16391),f53(f53(f10(x16391),x16392),x16394)),x16393))
% 53.99/54.04 [1693]~P49(x16931)+E(f53(f53(f10(x16931),f53(f53(f20(x16931),x16932),x16933)),f53(f53(f20(x16931),x16934),x16933)),f53(f53(f20(x16931),f53(f53(f10(x16931),x16932),x16934)),x16933))
% 53.99/54.04 [1694]~P5(x16941)+E(f53(f53(f10(x16941),f53(f53(f20(x16941),x16942),x16943)),f53(f53(f20(x16941),x16944),x16943)),f53(f53(f20(x16941),f53(f53(f10(x16941),x16942),x16944)),x16943))
% 53.99/54.04 [1719]~P53(x17191)+E(f11(f72(x17191),f53(f53(f10(f72(x17191)),x17192),x17193),f53(f53(f10(f72(x17191)),x17194),x17193)),f53(f53(f10(f72(x17191)),f11(f72(x17191),x17192,x17194)),x17193))
% 53.99/54.04 [1668]~P49(x16681)+E(f53(f14(x16681,f53(f53(f20(f72(x16681)),x16682),x16683)),x16684),f53(f53(f20(x16681),f53(f14(x16681,x16682),x16684)),x16683))
% 53.99/54.04 [1709]~P53(x17091)+E(f53(f53(f10(x17091),f53(f14(x17091,x17092),x17093)),f53(f14(x17091,x17094),x17093)),f53(f14(x17091,f53(f53(f10(f72(x17091)),x17092),x17094)),x17093))
% 53.99/54.04 [1729]~P53(x17291)+E(f11(f72(x17291),f22(x17291,x17292,x17293),f17(x17291,f2(x17291),f53(f53(f10(f72(x17291)),x17293),x17294))),f53(f53(f10(f72(x17291)),x17293),f17(x17291,x17292,x17294)))
% 53.99/54.04 [1736]~P53(x17361)+E(f11(f72(x17361),f22(x17361,x17362,x17363),f17(x17361,f2(x17361),f53(f53(f10(f72(x17361)),x17364),x17363))),f53(f53(f10(f72(x17361)),f17(x17361,x17362,x17364)),x17363))
% 53.99/54.04 [1772]~P51(x17721)+E(f53(f14(x17721,f53(f53(f10(f72(x17721)),f15(x17721,f3(x17721),x17722)),x17723)),x17724),f53(f53(f10(x17721),f53(f53(f20(x17721),x17724),x17722)),f53(f14(x17721,x17723),x17724)))
% 53.99/54.04 [944]~P11(x9444,x9445,x9441)+E(f53(x9441,x9442),f53(x9441,x9443))
% 53.99/54.04 [1665]~P49(x16651)+E(f11(x16651,f11(x16651,x16652,x16653),f11(x16651,x16654,x16655)),f11(x16651,f11(x16651,x16652,x16654),f11(x16651,x16653,x16655)))
% 53.99/54.04 [1666]~P16(x16661)+E(f11(x16661,f8(x16661,x16662,x16663),f8(x16661,x16664,x16665)),f8(x16661,f11(x16661,x16662,x16664),f11(x16661,x16663,x16665)))
% 53.99/54.04 [1713]~P53(x17131)+E(f53(f53(f10(f72(x17131)),f15(x17131,x17132,x17133)),f15(x17131,x17134,x17135)),f15(x17131,f53(f53(f10(x17131),x17132),x17134),f11(a69,x17133,x17135)))
% 53.99/54.04 [1331]~P27(x13312)+E(f53(f8(f77(x13311,x13312),x13313,x13314),x13315),f8(x13312,f53(x13313,x13315),f53(x13314,x13315)))
% 53.99/54.04 [1669]~P17(x16691)+E(f17(x16691,f11(x16691,x16692,x16693),f11(f72(x16691),x16694,x16695)),f11(f72(x16691),f17(x16691,x16692,x16694),f17(x16691,x16693,x16695)))
% 53.99/54.04 [1670]~P16(x16701)+E(f17(x16701,f8(x16701,x16702,x16703),f8(f72(x16701),x16704,x16705)),f8(f72(x16701),f17(x16701,x16702,x16704),f17(x16701,x16703,x16705)))
% 53.99/54.04 [1777]~P48(x17771)+P9(a68,f27(x17771,f8(x17771,f11(x17771,x17772,x17773),f11(x17771,x17774,x17775))),f11(a68,f27(x17771,f8(x17771,x17772,x17774)),f27(x17771,f8(x17771,x17773,x17775))))
% 53.99/54.04 [1779]~P30(x17791)+P9(x17791,f7(x17791,f8(x17791,f11(x17791,x17792,x17793),f11(x17791,x17794,x17795))),f11(x17791,f7(x17791,f8(x17791,x17792,x17794)),f7(x17791,f8(x17791,x17793,x17795))))
% 53.99/54.04 [1721]~P49(x17211)+E(f53(f53(f10(x17211),f53(f53(f10(x17211),x17212),x17213)),f53(f53(f10(x17211),x17214),x17215)),f53(f53(f10(x17211),f53(f53(f10(x17211),x17212),x17214)),f53(f53(f10(x17211),x17213),x17215)))
% 53.99/54.04 [1758]~P71(x17581)+E(f11(x17581,f53(f53(f10(x17581),x17582),f8(x17581,x17583,x17584)),f53(f53(f10(x17581),f8(x17581,x17582,x17585)),x17584)),f8(x17581,f53(f53(f10(x17581),x17582),x17583),f53(f53(f10(x17581),x17585),x17584)))
% 53.99/54.04 [1798]~P2(x17981)+E(f11(x17981,f11(x17981,f53(f53(f10(x17981),f8(x17981,x17982,x17983)),f8(x17981,x17984,x17985)),f53(f53(f10(x17981),f8(x17981,x17982,x17983)),x17985)),f53(f53(f10(x17981),x17983),f8(x17981,x17984,x17985))),f8(x17981,f53(f53(f10(x17981),x17982),x17984),f53(f53(f10(x17981),x17983),x17985)))
% 53.99/54.04 [1750]~P80(x17501)+E(f11(x17501,f53(f53(f10(x17501),x17502),x17503),f11(x17501,f53(f53(f10(x17501),x17504),x17503),x17505)),f11(x17501,f53(f53(f10(x17501),f11(x17501,x17502,x17504)),x17503),x17505))
% 53.99/54.04 [1773]~P9(a69,x17731,x17734)+E(f8(a69,f11(a69,f53(f53(f10(a69),x17731),x17732),x17733),f11(a69,f53(f53(f10(a69),x17734),x17732),x17735)),f8(a69,x17733,f11(a69,f53(f53(f10(a69),f8(a69,x17734,x17731)),x17732),x17735)))
% 53.99/54.04 [1774]~P9(a69,x17744,x17741)+E(f8(a69,f11(a69,f53(f53(f10(a69),x17741),x17742),x17743),f11(a69,f53(f53(f10(a69),x17744),x17742),x17745)),f8(a69,f11(a69,f53(f53(f10(a69),f8(a69,x17741,x17744)),x17742),x17743),x17745))
% 53.99/54.04 [816]~P3(x8161)+~P48(x8161)+P9(a68,f2(a68),f48(x8161))
% 53.99/54.04 [817]~P3(x8171)+~P48(x8171)+P10(a68,f2(a68),f40(x8171))
% 53.99/54.04 [1316]~P10(a69,f4(a1,x13161),f4(a1,a73))+P11(a1,a1,f14(a1,x13161))+E(f53(f14(a1,x13161),f31(x13161)),f2(a1))
% 53.99/54.04 [931]E(x9311,x9312)+P10(a69,x9312,x9311)+P10(a69,x9311,x9312)
% 53.99/54.04 [932]E(x9321,x9322)+P10(a70,x9322,x9321)+P10(a70,x9321,x9322)
% 53.99/54.04 [1008]E(x10081,x10082)+P10(a68,x10081,x10082)+~P9(a68,x10081,x10082)
% 53.99/54.05 [1011]E(x10111,x10112)+P10(a69,x10111,x10112)+~P9(a69,x10111,x10112)
% 53.99/54.05 [1012]E(x10121,x10122)+P10(a70,x10121,x10122)+~P9(a70,x10121,x10122)
% 53.99/54.05 [1072]E(x10721,x10722)+~P9(a68,x10722,x10721)+~P9(a68,x10721,x10722)
% 53.99/54.05 [1073]E(x10731,x10732)+~P9(a69,x10732,x10731)+~P9(a69,x10731,x10732)
% 53.99/54.05 [1074]E(x10741,x10742)+~P9(a70,x10742,x10741)+~P9(a70,x10741,x10742)
% 53.99/54.05 [677]~P26(x6771)+~E(x6772,f2(x6771))+E(f9(x6771,x6772),x6772)
% 53.99/54.05 [678]~P3(x6781)+E(f28(x6781,x6782),f2(x6781))+~E(x6782,f2(a68))
% 53.99/54.05 [688]~P48(x6881)+~E(x6882,f2(x6881))+E(f27(x6881,x6882),f2(a68))
% 53.99/54.05 [689]~P24(x6891)+~E(f2(x6891),x6892)+E(f9(x6891,x6892),f2(x6891))
% 53.99/54.05 [690]~P55(x6901)+~E(x6902,f2(x6901))+E(f25(x6901,x6902),f2(x6901))
% 53.99/54.05 [691]~P7(x6911)+~E(x6912,f3(x6911))+E(f25(x6911,x6912),f3(x6911))
% 53.99/54.05 [692]~P30(x6921)+~E(x6922,f2(x6921))+E(f7(x6921,x6922),f2(x6921))
% 53.99/54.05 [693]~P24(x6931)+~E(x6932,f2(x6931))+E(f9(x6931,x6932),f2(x6931))
% 53.99/54.05 [694]~P48(x6941)+~E(x6942,f2(x6941))+E(f12(x6941,x6942),f2(x6941))
% 53.99/54.05 [695]~P57(x6951)+~E(x6952,f2(x6951))+E(f12(x6951,x6952),f2(x6951))
% 53.99/54.05 [696]~P38(x6961)+~E(x6962,f2(x6961))+E(f12(x6961,x6962),f2(x6961))
% 53.99/54.05 [699]~P26(x6992)+~E(f9(x6992,x6991),x6991)+E(x6991,f2(x6992))
% 53.99/54.05 [706]~P48(x7062)+E(x7061,f2(x7062))+~E(f27(x7062,x7061),f2(a68))
% 53.99/54.05 [707]~P3(x7072)+~E(f28(x7072,x7071),f2(x7072))+E(x7071,f2(a68))
% 53.99/54.05 [708]~P55(x7082)+~E(f25(x7082,x7081),f2(x7082))+E(x7081,f2(x7082))
% 53.99/54.05 [710]~P56(x7102)+~E(f25(x7102,x7101),f2(x7102))+E(x7101,f2(x7102))
% 53.99/54.05 [711]~P30(x7112)+~E(f7(x7112,x7111),f2(x7112))+E(x7111,f2(x7112))
% 53.99/54.05 [712]~P24(x7122)+~E(f9(x7122,x7121),f2(x7122))+E(x7121,f2(x7122))
% 53.99/54.05 [713]~P48(x7132)+~E(f12(x7132,x7131),f2(x7132))+E(x7131,f2(x7132))
% 53.99/54.05 [714]~P57(x7142)+~E(f12(x7142,x7141),f2(x7142))+E(x7141,f2(x7142))
% 53.99/54.05 [715]~P7(x7152)+~E(f25(x7152,x7151),f3(x7152))+E(x7151,f3(x7152))
% 53.99/54.05 [716]~P24(x7161)+~E(f9(x7161,x7162),f2(x7161))+E(f2(x7161),x7162)
% 53.99/54.05 [775]~E(x7752,f2(a69))+~E(x7751,f2(a69))+E(f11(a69,x7751,x7752),f2(a69))
% 53.99/54.05 [810]~P26(x8101)+~E(x8102,f2(x8101))+E(f11(x8101,x8102,x8102),f2(x8101))
% 53.99/54.05 [831]~P18(x8311)+P10(x8311,x8312,f2(x8311))+E(f7(x8311,x8312),x8312)
% 53.99/54.05 [886]~P48(x8862)+E(x8861,f2(x8862))+P10(a68,f2(a68),f27(x8862,x8861))
% 53.99/54.05 [892]~P57(x8921)+P10(x8921,f2(x8921),x8922)+~E(f12(x8921,x8922),f3(x8921))
% 53.99/54.05 [902]~P48(x9021)+~E(x9022,f2(x9021))+P9(a68,f27(x9021,x9022),f2(a68))
% 53.99/54.05 [910]~P30(x9102)+P10(x9102,f2(x9102),f7(x9102,x9101))+E(x9101,f2(x9102))
% 53.99/54.05 [916]~P30(x9161)+P9(x9161,f7(x9161,x9162),f2(x9161))+~E(x9162,f2(x9161))
% 53.99/54.05 [918]~P26(x9182)+~E(f11(x9182,x9181,x9181),f2(x9182))+E(x9181,f2(x9182))
% 53.99/54.05 [956]~P30(x9561)+~P9(x9561,f2(x9561),x9562)+E(f7(x9561,x9562),x9562)
% 53.99/54.05 [957]~P30(x9571)+~P10(x9571,f2(x9571),x9572)+E(f7(x9571,x9572),x9572)
% 53.99/54.05 [972]~P57(x9721)+~P10(x9721,f2(x9721),x9722)+E(f12(x9721,x9722),f3(x9721))
% 53.99/54.05 [980]~P45(x9801)+P14(x9801,x9802)+P9(a69,f56(x9802,x9801),f58(x9802,x9801))
% 53.99/54.05 [985]~P30(x9851)+~P9(x9851,x9852,f2(x9851))+E(f9(x9851,x9852),f7(x9851,x9852))
% 53.99/54.05 [986]~P30(x9861)+~P10(x9861,x9862,f2(x9861))+E(f9(x9861,x9862),f7(x9861,x9862))
% 53.99/54.05 [987]~P18(x9871)+~P10(x9871,x9872,f2(x9871))+E(f9(x9871,x9872),f7(x9871,x9872))
% 53.99/54.05 [1014]~P48(x10142)+E(x10141,f2(x10142))+~P9(a68,f27(x10142,x10141),f2(a68))
% 53.99/54.05 [1020]~P48(x10202)+~E(x10201,f2(x10202))+~P10(a68,f2(a68),f27(x10202,x10201))
% 53.99/54.05 [1029]~P30(x10292)+~P9(x10292,f7(x10292,x10291),f2(x10292))+E(x10291,f2(x10292))
% 53.99/54.05 [1056]~P30(x10562)+~P10(x10562,f2(x10562),f7(x10562,x10561))+~E(x10561,f2(x10562))
% 53.99/54.05 [1085]E(x10851,x10852)+~E(f8(a69,x10852,x10851),f2(a69))+~E(f8(a69,x10851,x10852),f2(a69))
% 53.99/54.05 [1119]~P26(x11191)+~P9(x11191,x11192,f2(x11191))+P9(x11191,x11192,f9(x11191,x11192))
% 53.99/54.05 [1120]~P57(x11201)+~P10(x11201,x11202,f2(x11201))+P10(x11201,x11202,f9(x11201,x11202))
% 53.99/54.05 [1121]~P26(x11211)+~P9(x11211,f2(x11211),x11212)+P9(x11211,f9(x11211,x11212),x11212)
% 53.99/54.05 [1122]~P26(x11221)+~P10(x11221,f2(x11221),x11222)+P10(x11221,f9(x11221,x11222),x11222)
% 53.99/54.05 [1138]~P32(x11381)+~P9(x11381,x11382,f2(x11381))+P9(x11381,f2(x11381),f9(x11381,x11382))
% 53.99/54.05 [1139]~P32(x11391)+~P10(x11391,x11392,f2(x11391))+P10(x11391,f2(x11391),f9(x11391,x11392))
% 53.99/54.05 [1140]~P15(x11401)+~P9(x11401,f2(x11401),x11402)+P9(x11401,f2(x11401),f25(x11401,x11402))
% 53.99/54.05 [1141]~P6(x11411)+~P10(x11411,f2(x11411),x11412)+P10(x11411,f2(x11411),f25(x11411,x11412))
% 53.99/54.05 [1142]~P15(x11421)+~P10(x11421,f2(x11421),x11422)+P10(x11421,f2(x11421),f25(x11421,x11422))
% 53.99/54.05 [1143]~P57(x11431)+~P10(x11431,f2(x11431),x11432)+P10(x11431,f2(x11431),f12(x11431,x11432))
% 53.99/54.05 [1144]~P15(x11441)+~P9(x11441,x11442,f2(x11441))+P9(x11441,f25(x11441,x11442),f2(x11441))
% 53.99/54.05 [1145]~P15(x11451)+~P9(x11451,x11452,f2(x11451))+P9(x11451,f25(x11451,x11452),f3(x11451))
% 53.99/54.05 [1146]~P6(x11461)+~P10(x11461,x11462,f2(x11461))+P10(x11461,f25(x11461,x11462),f2(x11461))
% 53.99/54.05 [1147]~P15(x11471)+~P10(x11471,x11472,f2(x11471))+P10(x11471,f25(x11471,x11472),f2(x11471))
% 53.99/54.05 [1148]~P15(x11481)+~P9(x11481,x11482,f2(x11481))+P10(x11481,f25(x11481,x11482),f3(x11481))
% 53.99/54.05 [1149]~P57(x11491)+~P10(x11491,x11492,f2(x11491))+P10(x11491,f12(x11491,x11492),f2(x11491))
% 53.99/54.05 [1150]~P15(x11501)+~P9(x11501,f3(x11501),x11502)+P9(x11501,f25(x11501,x11502),f3(x11501))
% 53.99/54.05 [1151]~P32(x11511)+~P9(x11511,f2(x11511),x11512)+P9(x11511,f9(x11511,x11512),f2(x11511))
% 53.99/54.05 [1152]~P15(x11521)+~P10(x11521,f3(x11521),x11522)+P10(x11521,f25(x11521,x11522),f3(x11521))
% 53.99/54.05 [1153]~P32(x11531)+~P10(x11531,f2(x11531),x11532)+P10(x11531,f9(x11531,x11532),f2(x11531))
% 53.99/54.05 [1155]~P26(x11551)+~P9(x11551,x11552,f9(x11551,x11552))+P9(x11551,x11552,f2(x11551))
% 53.99/54.05 [1156]~P57(x11561)+~P10(x11561,x11562,f9(x11561,x11562))+P10(x11561,x11562,f2(x11561))
% 53.99/54.05 [1157]~P26(x11571)+~P9(x11571,f9(x11571,x11572),x11572)+P9(x11571,f2(x11571),x11572)
% 53.99/54.05 [1158]~P26(x11581)+~P10(x11581,f9(x11581,x11582),x11582)+P10(x11581,f2(x11581),x11582)
% 53.99/54.05 [1171]~P32(x11711)+~P9(x11711,f2(x11711),f9(x11711,x11712))+P9(x11711,x11712,f2(x11711))
% 53.99/54.05 [1172]~P15(x11721)+~P9(x11721,f3(x11721),f25(x11721,x11722))+P9(x11721,x11722,f3(x11721))
% 53.99/54.05 [1173]~P32(x11731)+~P10(x11731,f2(x11731),f9(x11731,x11732))+P10(x11731,x11732,f2(x11731))
% 53.99/54.05 [1174]~P15(x11741)+~P10(x11741,f3(x11741),f25(x11741,x11742))+P10(x11741,x11742,f3(x11741))
% 53.99/54.05 [1175]~P15(x11751)+~P9(x11751,f25(x11751,x11752),f2(x11751))+P9(x11751,x11752,f2(x11751))
% 53.99/54.05 [1176]~P15(x11761)+~P10(x11761,f25(x11761,x11762),f2(x11761))+P10(x11761,x11762,f2(x11761))
% 53.99/54.05 [1177]~P57(x11771)+~P10(x11771,f12(x11771,x11772),f2(x11771))+P10(x11771,x11772,f2(x11771))
% 53.99/54.05 [1178]~P15(x11781)+~P9(x11781,f2(x11781),f25(x11781,x11782))+P9(x11781,f2(x11781),x11782)
% 53.99/54.05 [1179]~P15(x11791)+~P9(x11791,f3(x11791),f25(x11791,x11792))+P10(x11791,f2(x11791),x11792)
% 53.99/54.05 [1180]~P15(x11801)+~P10(x11801,f2(x11801),f25(x11801,x11802))+P10(x11801,f2(x11801),x11802)
% 53.99/54.05 [1181]~P15(x11811)+~P10(x11811,f3(x11811),f25(x11811,x11812))+P10(x11811,f2(x11811),x11812)
% 53.99/54.05 [1182]~P57(x11821)+~P10(x11821,f2(x11821),f12(x11821,x11822))+P10(x11821,f2(x11821),x11822)
% 53.99/54.05 [1183]~P32(x11831)+~P9(x11831,f9(x11831,x11832),f2(x11831))+P9(x11831,f2(x11831),x11832)
% 53.99/54.05 [1184]~P32(x11841)+~P10(x11841,f9(x11841,x11842),f2(x11841))+P10(x11841,f2(x11841),x11842)
% 53.99/54.05 [1291]~P9(a69,f13(x12911),x12912)+P9(a68,x12911,f26(a69,x12912))+~P9(a68,f2(a68),x12911)
% 53.99/54.05 [1292]~P9(a69,x12921,f24(x12922))+P9(a68,f26(a69,x12921),x12922)+~P9(a68,f2(a68),x12922)
% 53.99/54.05 [1293]~P9(a70,f2(a70),x12932)+~P9(a70,f2(a70),x12931)+P9(a70,f2(a70),f16(x12931,x12932))
% 53.99/54.05 [1308]P10(a69,f24(x13081),x13082)+~P10(a68,x13081,f26(a69,x13082))+~P9(a68,f2(a68),x13081)
% 53.99/54.05 [1310]~P26(x13101)+~P9(x13101,f2(x13101),x13102)+P9(x13101,f2(x13101),f11(x13101,x13102,x13102))
% 53.99/54.05 [1311]~P26(x13111)+~P10(x13111,f2(x13111),x13112)+P10(x13111,f2(x13111),f11(x13111,x13112,x13112))
% 53.99/54.05 [1312]~P26(x13121)+~P9(x13121,x13122,f2(x13121))+P9(x13121,f11(x13121,x13122,x13122),f2(x13121))
% 53.99/54.05 [1313]~P57(x13131)+~P10(x13131,x13132,f2(x13131))+P10(x13131,f11(x13131,x13132,x13132),f2(x13131))
% 53.99/54.05 [1314]~P26(x13141)+~P10(x13141,x13142,f2(x13141))+P10(x13141,f11(x13141,x13142,x13142),f2(x13141))
% 53.99/54.05 [1326]~P9(a68,x13261,x13262)+~P9(a68,f9(a68,x13262),x13261)+P9(a68,f7(a68,x13261),x13262)
% 53.99/54.05 [1397]~P26(x13971)+~P9(x13971,f11(x13971,x13972,x13972),f2(x13971))+P9(x13971,x13972,f2(x13971))
% 53.99/54.05 [1398]~P57(x13981)+~P10(x13981,f11(x13981,x13982,x13982),f2(x13981))+P10(x13981,x13982,f2(x13981))
% 53.99/54.05 [1399]~P26(x13991)+~P10(x13991,f11(x13991,x13992,x13992),f2(x13991))+P10(x13991,x13992,f2(x13991))
% 53.99/54.05 [1400]~P26(x14001)+~P9(x14001,f2(x14001),f11(x14001,x14002,x14002))+P9(x14001,f2(x14001),x14002)
% 53.99/54.05 [1401]~P26(x14011)+~P10(x14011,f2(x14011),f11(x14011,x14012,x14012))+P10(x14011,f2(x14011),x14012)
% 53.99/54.05 [1405]P10(a69,f8(a69,x14051,x14052),x14051)+~P10(a69,f2(a69),x14051)+~P10(a69,f2(a69),x14052)
% 53.99/54.05 [1407]~P9(a70,f2(a70),x14072)+~P9(a70,f2(a70),x14071)+P9(a70,f2(a70),f11(a70,x14071,x14072))
% 53.99/54.05 [1463]P10(a69,f2(a69),x14631)+P10(a69,f2(a69),x14632)+~P10(a69,f2(a69),f11(a69,x14632,x14631))
% 53.99/54.05 [718]~P29(x7181)+E(f4(x7181,x7182),f2(a69))+~E(x7182,f2(f72(x7181)))
% 53.99/54.05 [719]~P29(x7192)+~E(f4(x7192,x7191),f2(a69))+E(x7191,f2(f72(x7192)))
% 53.99/54.05 [727]~P56(x7272)+E(x7271,f2(x7272))+E(f25(x7272,f25(x7272,x7271)),x7271)
% 53.99/54.05 [737]~P48(x7372)+E(x7371,f2(x7372))+E(f27(x7372,f12(x7372,x7371)),f3(a68))
% 53.99/54.05 [738]~P57(x7381)+~E(x7382,f2(f72(x7381)))+E(f12(f72(x7381),x7382),f2(f72(x7381)))
% 53.99/54.05 [744]~P48(x7441)+~E(x7442,f2(x7441))+E(f27(x7441,f12(x7441,x7442)),f2(a68))
% 53.99/54.05 [855]~P46(x8552)+E(x8551,f2(a68))+E(f28(x8552,f25(a68,x8551)),f25(x8552,f28(x8552,x8551)))
% 53.99/54.05 [871]~P47(x8712)+E(x8711,f2(x8712))+E(f27(x8712,f25(x8712,x8711)),f25(a68,f27(x8712,x8711)))
% 53.99/54.05 [874]~P46(x8741)+~P55(x8741)+E(f28(x8741,f25(a68,x8742)),f25(x8741,f28(x8741,x8742)))
% 53.99/54.05 [880]~P6(x8802)+E(x8801,f2(x8802))+E(f25(x8802,f7(x8802,x8801)),f7(x8802,f25(x8802,x8801)))
% 53.99/54.05 [881]~P56(x8812)+E(x8811,f2(x8812))+E(f25(x8812,f9(x8812,x8811)),f9(x8812,f25(x8812,x8811)))
% 53.99/54.05 [882]~P47(x8821)+~P55(x8821)+E(f27(x8821,f25(x8821,x8822)),f25(a68,f27(x8821,x8822)))
% 53.99/54.05 [887]~P56(x8872)+E(x8871,f2(x8872))+E(f53(f53(f10(x8872),x8871),f25(x8872,x8871)),f3(x8872))
% 53.99/54.05 [927]~P57(x9271)+P10(f72(x9271),x9272,f2(f72(x9271)))+E(f7(f72(x9271),x9272),x9272)
% 53.99/54.05 [973]~P57(x9731)+P10(x9731,x9732,f2(x9731))+~E(f12(x9731,x9732),f9(x9731,f3(x9731)))
% 53.99/54.05 [999]~P57(x9991)+~P10(x9991,x9992,f2(x9991))+E(f12(x9991,x9992),f9(x9991,f3(x9991)))
% 53.99/54.05 [1076]~P57(x10761)+~P10(f72(x10761),x10762,f2(f72(x10761)))+E(f9(f72(x10761),x10762),f7(f72(x10761),x10762))
% 53.99/54.05 [1364]E(x13641,x13642)+P10(a70,x13641,x13642)+~P10(a70,x13641,f11(a70,x13642,f3(a70)))
% 53.99/54.05 [1409]~P3(x14091)+~P48(x14091)+P9(a68,f27(x14091,f28(x14091,x14092)),f53(f53(f10(a68),f27(a68,x14092)),f40(x14091)))
% 53.99/54.05 [1410]~P3(x14101)+~P48(x14101)+P9(a68,f27(x14101,f28(x14101,x14102)),f53(f53(f10(a68),f27(a68,x14102)),f48(x14101)))
% 53.99/54.05 [1411]~P3(x14111)+~P48(x14111)+P9(a68,f27(x14111,f28(x14111,x14112)),f53(f53(f10(a68),f27(a68,x14112)),f60(x14111)))
% 53.99/54.05 [1430]~P45(x14301)+P14(x14301,x14302)+~P9(x14301,f53(x14302,f58(x14302,x14301)),f53(x14302,f56(x14302,x14301)))
% 53.99/54.05 [1585]E(f24(x15851),x15852)+~P9(a68,f26(a69,x15852),x15851)+~P10(a68,x15851,f11(a68,f26(a69,x15852),f3(a68)))
% 53.99/54.05 [1623]~P10(a68,f26(a69,x16232),x16231)+~P9(a68,x16231,f11(a68,f26(a69,x16232),f3(a68)))+E(f13(x16231),f11(a69,x16232,f3(a69)))
% 53.99/54.05 [753]~E(x7532,f3(a69))+~E(x7531,f3(a69))+E(f53(f53(f10(a69),x7531),x7532),f3(a69))
% 53.99/54.05 [803]~P70(x8031)+~E(x8032,f3(x8031))+E(f53(f53(f10(x8031),x8032),x8032),f3(x8031))
% 53.99/54.05 [829]E(x8291,f3(a69))+E(x8292,f2(a69))+~E(f53(f53(f10(a69),x8292),x8291),x8292)
% 53.99/54.05 [834]E(x8341,f2(a69))+E(x8342,f2(a69))+~E(f53(f53(f10(a69),x8342),x8341),f2(a69))
% 53.99/54.05 [900]~P70(x9001)+~E(x9002,f9(x9001,f3(x9001)))+E(f53(f53(f10(x9001),x9002),x9002),f3(x9001))
% 53.99/54.05 [969]~P56(x9692)+E(x9691,f2(x9692))+E(f53(f53(f10(x9692),f25(x9692,x9691)),x9691),f3(x9692))
% 53.99/54.05 [970]~P8(x9702)+E(x9701,f2(x9702))+E(f53(f53(f10(x9702),f25(x9702,x9701)),x9701),f3(x9702))
% 53.99/54.05 [1068]E(x10681,f3(a70))+~P10(a70,f2(a70),x10682)+~E(f53(f53(f10(a70),x10682),x10681),f3(a70))
% 53.99/54.05 [1069]E(x10691,f3(a70))+~P10(a70,f2(a70),x10691)+~E(f53(f53(f10(a70),x10691),x10692),f3(a70))
% 53.99/54.05 [1338]E(x13381,f2(a69))+P10(a69,f2(a69),x13382)+~P10(a69,f2(a69),f53(f53(f20(a69),x13382),x13381))
% 53.99/54.05 [1377]~P9(a70,f2(a70),x13772)+~P9(a70,f2(a70),x13771)+P9(a70,f2(a70),f53(f53(f10(a70),x13771),x13772))
% 53.99/54.05 [1378]~P10(a68,f2(a68),x13782)+~P10(a68,f2(a68),x13781)+P10(a68,f2(a68),f53(f53(f10(a68),x13781),x13782))
% 53.99/54.05 [1379]~P10(a69,f2(a69),x13792)+~P10(a69,f2(a69),x13791)+P10(a69,f2(a69),f53(f53(f10(a69),x13791),x13792))
% 53.99/54.05 [1477]E(x14771,f2(a69))+~E(x14772,f2(a70))+~P10(a70,f2(a70),f53(f53(f20(a70),f7(a70,x14772)),x14771))
% 53.99/54.05 [1278]~E(x12782,f2(a68))+~E(x12781,f2(a68))+E(f11(a68,f53(f53(f10(a68),x12781),x12781),f53(f53(f10(a68),x12782),x12782)),f2(a68))
% 53.99/54.05 [1667]~P9(a68,f2(a68),x16672)+~P9(a68,f2(a68),x16671)+P9(a69,f53(f53(f10(a69),f24(x16671)),f24(x16672)),f24(f53(f53(f10(a68),x16671),x16672)))
% 53.99/54.05 [1778]E(x17781,f2(a69))+E(x17782,f2(a1))+P10(a68,f27(a1,f11(a1,f3(a1),f53(f53(f10(a1),x17782),f53(f53(f20(a1),f42(x17781,x17782)),x17781)))),f3(a68))
% 53.99/54.05 [766]~E(x7662,x7663)+~P40(x7661)+P9(x7661,x7662,x7663)
% 53.99/54.05 [768]~E(x7682,x7683)+~P45(x7681)+P9(x7681,x7682,x7683)
% 53.99/54.05 [898]~P10(x8983,x8981,x8982)+~E(x8981,x8982)+~P41(x8983)
% 53.99/54.05 [899]~P10(x8993,x8991,x8992)+~E(x8991,x8992)+~P45(x8993)
% 53.99/54.05 [950]P9(x9501,x9503,x9502)+~P41(x9501)+P9(x9501,x9502,x9503)
% 53.99/54.05 [955]P10(x9551,x9553,x9552)+~P41(x9551)+P9(x9551,x9552,x9553)
% 53.99/54.05 [1026]~P40(x10261)+~P10(x10261,x10262,x10263)+P9(x10261,x10262,x10263)
% 53.99/54.05 [1028]~P45(x10281)+~P10(x10281,x10282,x10283)+P9(x10281,x10282,x10283)
% 53.99/54.05 [1089]~P10(x10891,x10893,x10892)+~P40(x10891)+~P9(x10891,x10892,x10893)
% 53.99/54.05 [1093]~P10(x10931,x10933,x10932)+~P40(x10931)+~P10(x10931,x10932,x10933)
% 53.99/54.05 [1096]~P10(x10961,x10963,x10962)+~P41(x10961)+~P9(x10961,x10962,x10963)
% 53.99/54.05 [1097]~P10(x10971,x10973,x10972)+~P41(x10971)+~P10(x10971,x10972,x10973)
% 53.99/54.05 [1098]~P10(x10981,x10983,x10982)+~P45(x10981)+~P10(x10981,x10982,x10983)
% 53.99/54.05 [1209]~P9(a68,x12091,x12093)+P9(a68,x12091,x12092)+~P9(a68,x12093,x12092)
% 53.99/54.05 [1210]~P9(a69,x12101,x12103)+P9(a69,x12101,x12102)+~P9(a69,x12103,x12102)
% 53.99/54.05 [1211]~P9(a70,x12111,x12113)+P9(a70,x12111,x12112)+~P9(a70,x12113,x12112)
% 53.99/54.05 [721]~P24(x7212)+~E(x7213,f9(x7212,x7211))+E(x7211,f9(x7212,x7213))
% 53.99/54.05 [723]~P24(x7231)+~E(f9(x7231,x7233),x7232)+E(f9(x7231,x7232),x7233)
% 53.99/54.05 [728]~P3(x7283)+E(x7281,x7282)+~E(f28(x7283,x7281),f28(x7283,x7282))
% 53.99/54.05 [730]~P55(x7303)+E(x7301,x7302)+~E(f25(x7303,x7301),f25(x7303,x7302))
% 53.99/54.05 [731]~P24(x7313)+E(x7311,x7312)+~E(f9(x7313,x7311),f9(x7313,x7312))
% 53.99/54.05 [732]~P42(x7323)+E(x7321,x7322)+~E(f9(x7323,x7321),f9(x7323,x7322))
% 53.99/54.05 [787]~E(x7872,x7873)+~P24(x7871)+E(f8(x7871,x7872,x7873),f2(x7871))
% 53.99/54.05 [788]~E(x7882,x7883)+~P16(x7881)+E(f8(x7881,x7882,x7883),f2(x7881))
% 53.99/54.05 [799]~P81(x7991)+~E(x7993,f2(x7991))+E(f11(x7991,x7992,x7993),x7992)
% 53.99/54.05 [800]~E(x8002,x8003)+~P57(x8001)+P9(f72(x8001),x8002,x8003)
% 53.99/54.05 [861]~P24(x8611)+~E(x8613,f9(x8611,x8612))+E(f11(x8611,x8612,x8613),f2(x8611))
% 53.99/54.05 [862]~P24(x8621)+~E(x8622,f9(x8621,x8623))+E(f11(x8621,x8622,x8623),f2(x8621))
% 53.99/54.05 [911]~P81(x9112)+~E(f11(x9112,x9113,x9111),x9113)+E(x9111,f2(x9112))
% 53.99/54.05 [914]~P24(x9143)+E(x9141,x9142)+~E(f8(x9143,x9141,x9142),f2(x9143))
% 53.99/54.05 [915]~P16(x9153)+E(x9151,x9152)+~E(f8(x9153,x9151,x9152),f2(x9153))
% 53.99/54.05 [920]~P57(x9201)+P13(x9201,x9202,x9203)+~E(f7(x9201,x9202),f7(x9201,x9203))
% 53.99/54.05 [945]~P24(x9452)+~E(f11(x9452,x9453,x9451),f2(x9452))+E(x9451,f9(x9452,x9453))
% 53.99/54.05 [946]~P24(x9462)+~E(f11(x9462,x9461,x9463),f2(x9462))+E(x9461,f9(x9462,x9463))
% 53.99/54.05 [947]~P24(x9471)+~E(f11(x9471,x9472,x9473),f2(x9471))+E(f9(x9471,x9472),x9473)
% 53.99/54.05 [1055]~P57(x10551)+~P12(x10551,x10553)+P12(x10551,f17(x10551,x10552,x10553))
% 53.99/54.05 [1079]~P57(x10791)+~P13(x10791,x10792,x10793)+P13(x10791,x10792,f7(x10791,x10793))
% 53.99/54.05 [1080]~P51(x10801)+~P13(x10801,x10802,x10803)+P13(x10801,x10802,f9(x10801,x10803))
% 53.99/54.05 [1081]~P57(x10811)+~P13(x10811,x10812,x10813)+P13(x10811,f7(x10811,x10812),x10813)
% 53.99/54.05 [1082]~P51(x10821)+~P13(x10821,x10822,x10823)+P13(x10821,f9(x10821,x10822),x10823)
% 53.99/54.05 [1127]~P57(x11271)+P13(x11271,x11272,x11273)+~P13(x11271,x11272,f7(x11271,x11273))
% 53.99/54.05 [1128]~P51(x11281)+P13(x11281,x11282,x11283)+~P13(x11281,x11282,f9(x11281,x11283))
% 53.99/54.05 [1130]~P30(x11301)+P9(x11301,x11302,x11303)+~P9(x11301,f7(x11301,x11302),x11303)
% 53.99/54.05 [1131]~P57(x11311)+P10(x11311,x11312,x11313)+~P10(x11311,f7(x11311,x11312),x11313)
% 53.99/54.05 [1132]~P57(x11321)+P13(x11321,x11322,x11323)+~P13(x11321,f7(x11321,x11322),x11323)
% 53.99/54.05 [1133]~P51(x11331)+P13(x11331,x11332,x11333)+~P13(x11331,f9(x11331,x11332),x11333)
% 53.99/54.05 [1163]~P32(x11631)+~P9(x11631,x11633,x11632)+P9(x11631,f9(x11631,x11632),f9(x11631,x11633))
% 53.99/54.05 [1165]~P42(x11651)+~P9(x11651,x11653,x11652)+P9(x11651,f9(x11651,x11652),f9(x11651,x11653))
% 53.99/54.05 [1166]~P32(x11661)+~P10(x11661,x11663,x11662)+P10(x11661,f9(x11661,x11662),f9(x11661,x11663))
% 53.99/54.05 [1194]~P32(x11941)+~P9(x11941,x11943,f9(x11941,x11942))+P9(x11941,x11942,f9(x11941,x11943))
% 53.99/54.05 [1196]~P32(x11961)+~P10(x11961,x11963,f9(x11961,x11962))+P10(x11961,x11962,f9(x11961,x11963))
% 53.99/54.05 [1198]~P32(x11981)+~P9(x11981,f9(x11981,x11983),x11982)+P9(x11981,f9(x11981,x11982),x11983)
% 53.99/54.05 [1200]~P30(x12001)+~P9(x12001,f7(x12001,x12002),x12003)+P9(x12001,f9(x12001,x12002),x12003)
% 53.99/54.05 [1202]~P32(x12021)+~P10(x12021,f9(x12021,x12023),x12022)+P10(x12021,f9(x12021,x12022),x12023)
% 53.99/54.05 [1203]~P57(x12031)+~P10(x12031,f7(x12031,x12032),x12033)+P10(x12031,f9(x12031,x12032),x12033)
% 53.99/54.05 [1214]~P9(a69,x12143,x12141)+~E(f8(a69,x12141,x12143),x12142)+E(x12141,f11(a69,x12142,x12143))
% 53.99/54.05 [1215]~P9(a69,x12152,x12151)+~E(x12151,f11(a69,x12153,x12152))+E(f8(a69,x12151,x12152),x12153)
% 53.99/54.05 [1223]~P32(x12231)+P9(x12231,x12232,x12233)+~P9(x12231,f9(x12231,x12233),f9(x12231,x12232))
% 53.99/54.05 [1224]~P42(x12241)+P9(x12241,x12242,x12243)+~P9(x12241,f9(x12241,x12243),f9(x12241,x12242))
% 53.99/54.05 [1225]~P32(x12251)+P10(x12251,x12252,x12253)+~P10(x12251,f9(x12251,x12253),f9(x12251,x12252))
% 53.99/54.05 [1294]~P32(x12941)+~P9(x12941,x12942,x12943)+P9(x12941,f8(x12941,x12942,x12943),f2(x12941))
% 53.99/54.05 [1295]~P32(x12951)+~P10(x12951,x12952,x12953)+P10(x12951,f8(x12951,x12952,x12953),f2(x12951))
% 53.99/54.05 [1382]~P32(x13821)+P9(x13821,x13822,x13823)+~P9(x13821,f8(x13821,x13822,x13823),f2(x13821))
% 53.99/54.05 [1383]~P32(x13831)+P10(x13831,x13832,x13833)+~P10(x13831,f8(x13831,x13832,x13833),f2(x13831))
% 53.99/54.05 [1539]~P10(a69,x15393,x15391)+~P10(a69,x15393,x15392)+P10(a69,f8(a69,x15391,x15392),f8(a69,x15391,x15393))
% 53.99/54.05 [1540]~P9(a69,x15402,x15401)+~P10(a69,x15401,x15403)+P10(a69,f8(a69,x15401,x15402),f8(a69,x15403,x15402))
% 53.99/54.05 [1610]~P9(a69,x16103,x16102)+~P9(a69,f11(a69,x16101,x16103),x16102)+P9(a69,x16101,f8(a69,x16102,x16103))
% 53.99/54.05 [1611]~P9(a69,x16112,x16113)+~P9(a69,x16111,f8(a69,x16113,x16112))+P9(a69,f11(a69,x16111,x16112),x16113)
% 53.99/54.05 [786]~P59(x7861)+~E(x7862,f2(f72(x7861)))+E(f53(f14(x7861,x7862),x7863),f2(x7861))
% 53.99/54.05 [822]~P59(x8221)+~E(x8222,f2(x8221))+E(f22(x8221,x8222,x8223),f2(f72(x8221)))
% 53.99/54.05 [823]~P29(x8231)+~E(x8232,f2(x8231))+E(f15(x8231,x8232,x8233),f2(f72(x8231)))
% 53.99/54.05 [864]~P59(x8641)+~E(x8643,f2(f72(x8641)))+E(f22(x8641,x8642,x8643),f2(f72(x8641)))
% 53.99/54.05 [865]~P53(x8651)+~E(x8652,f2(f72(x8651)))+E(f6(x8651,x8652,x8653),f2(f72(x8651)))
% 53.99/54.05 [929]~P59(x9291)+E(f18(x9291,x9292,x9293),f2(a69))+E(f53(f14(x9291,x9293),x9292),f2(x9291))
% 53.99/54.05 [942]~P29(x9422)+E(x9421,f2(x9422))+~E(f15(x9422,x9421,x9423),f2(f72(x9422)))
% 53.99/54.05 [943]~P29(x9432)+E(x9431,f2(x9432))+~E(f17(x9432,x9431,x9433),f2(f72(x9432)))
% 53.99/54.05 [966]~P53(x9662)+~E(f6(x9662,x9661,x9663),f2(f72(x9662)))+E(x9661,f2(f72(x9662)))
% 53.99/54.05 [967]~P29(x9672)+~E(f17(x9672,x9673,x9671),f2(f72(x9672)))+E(x9671,f2(f72(x9672)))
% 53.99/54.05 [1246]~P57(x12461)+~P10(f72(x12461),x12463,x12462)+P12(x12461,f8(f72(x12461),x12462,x12463))
% 53.99/54.05 [1320]~P57(x13201)+P9(f72(x13201),x13202,x13203)+~P12(x13201,f8(f72(x13201),x13203,x13202))
% 53.99/54.05 [1321]~P57(x13211)+P10(f72(x13211),x13212,x13213)+~P12(x13211,f8(f72(x13211),x13213,x13212))
% 53.99/54.05 [1534]E(x15341,f2(a68))+~P9(a68,x15342,f2(a68))+~P9(a68,f7(a68,x15341),f53(f53(f10(a68),x15342),f7(a68,x15343)))
% 53.99/54.05 [1583]P10(a69,x15832,x15831)+E(f11(a69,x15831,f66(x15831,x15832,x15833)),x15832)+P82(f53(x15833,f8(a69,x15832,x15831)))
% 53.99/54.05 [1584]P10(a69,x15842,x15841)+E(f11(a69,x15841,f67(x15841,x15842,x15843)),x15842)+P82(f53(x15843,f8(a69,x15842,x15841)))
% 53.99/54.05 [1592]E(f11(a69,x15921,f66(x15921,x15922,x15923)),x15922)+P82(f53(x15923,f8(a69,x15922,x15921)))+~P82(f53(x15923,f2(a69)))
% 53.99/54.05 [1593]E(f11(a69,x15931,f67(x15931,x15932,x15933)),x15932)+P82(f53(x15933,f8(a69,x15932,x15931)))+~P82(f53(x15933,f2(a69)))
% 53.99/54.05 [1600]~P9(a69,x16002,x16003)+~P9(a69,x16002,x16001)+E(f8(a69,f8(a69,x16001,x16002),f8(a69,x16003,x16002)),f8(a69,x16001,x16003))
% 53.99/54.05 [1615]~P10(a69,x16152,x16153)+~P82(f53(x16151,f8(a69,x16152,x16153)))+P82(f53(x16151,f2(a69)))
% 53.99/54.05 [1714]P10(a69,x17141,x17142)+~P82(f53(x17143,f66(x17142,x17141,x17143)))+P82(f53(x17143,f8(a69,x17141,x17142)))
% 53.99/54.05 [1715]P10(a69,x17151,x17152)+~P82(f53(x17153,f67(x17152,x17151,x17153)))+P82(f53(x17153,f8(a69,x17151,x17152)))
% 53.99/54.05 [1717]~P82(f53(x17171,f66(x17173,x17172,x17171)))+P82(f53(x17171,f8(a69,x17172,x17173)))+~P82(f53(x17171,f2(a69)))
% 53.99/54.05 [1718]~P82(f53(x17181,f67(x17183,x17182,x17181)))+P82(f53(x17181,f8(a69,x17182,x17183)))+~P82(f53(x17181,f2(a69)))
% 53.99/54.05 [789]~P28(x7891)+~E(x7893,f2(a69))+E(f53(f53(f20(x7891),x7892),x7893),f3(x7891))
% 53.99/54.05 [801]~P79(x8011)+~E(x8013,f2(x8011))+E(f53(f53(f10(x8011),x8012),x8013),f2(x8011))
% 53.99/54.05 [802]~P79(x8021)+~E(x8022,f2(x8021))+E(f53(f53(f10(x8021),x8022),x8023),f2(x8021))
% 53.99/54.05 [913]~P70(x9132)+E(x9131,f2(x9132))+~E(f53(f53(f20(x9132),x9131),x9133),f2(x9132))
% 53.99/54.05 [933]~P56(x9331)+E(f25(x9331,x9332),x9333)+~E(f53(f53(f10(x9331),x9332),x9333),f3(x9331))
% 53.99/54.05 [988]~P59(x9881)+~E(x9882,f9(x9881,x9883))+E(f53(f53(f10(x9881),x9882),x9882),f53(f53(f10(x9881),x9883),x9883))
% 53.99/54.05 [1046]E(x10461,x10462)+E(x10463,f2(a68))+~E(f53(f53(f10(a68),x10463),x10461),f53(f53(f10(a68),x10463),x10462))
% 53.99/54.05 [1048]E(x10481,x10482)+E(x10483,f2(a69))+~E(f53(f53(f10(a69),x10483),x10481),f53(f53(f10(a69),x10483),x10482))
% 53.99/54.05 [1049]E(x10491,x10492)+E(x10493,f2(a68))+~E(f53(f53(f10(a68),x10491),x10493),f53(f53(f10(a68),x10492),x10493))
% 53.99/54.05 [1050]E(x10501,x10502)+E(x10503,f2(a69))+~E(f53(f53(f10(a69),x10501),x10503),f53(f53(f10(a69),x10502),x10503))
% 53.99/54.05 [1244]E(x12441,x12442)+~P10(a69,f2(a69),x12443)+~E(f53(f53(f10(a69),x12443),x12441),f53(f53(f10(a69),x12443),x12442))
% 53.99/54.05 [1303]~P54(x13031)+~P9(x13031,f2(x13031),x13032)+P9(x13031,f2(x13031),f53(f53(f20(x13031),x13032),x13033))
% 53.99/54.05 [1304]~P54(x13041)+~P9(x13041,f3(x13041),x13042)+P9(x13041,f3(x13041),f53(f53(f20(x13041),x13042),x13043))
% 53.99/54.05 [1305]~P54(x13051)+~P10(x13051,f2(x13051),x13052)+P10(x13051,f2(x13051),f53(f53(f20(x13051),x13052),x13053))
% 53.99/54.05 [1500]~P9(a68,x15002,x15003)+~P10(a68,f2(a68),x15001)+P9(a68,f53(f53(f10(a68),x15001),x15002),f53(f53(f10(a68),x15001),x15003))
% 53.99/54.05 [1501]~P9(a68,x15011,x15013)+~P10(a68,f2(a68),x15012)+P9(a68,f53(f53(f10(a68),x15011),x15012),f53(f53(f10(a68),x15013),x15012))
% 53.99/54.05 [1503]~P10(a68,x15031,x15033)+~P10(a68,f2(a68),x15032)+P10(a68,f53(f53(f10(a68),x15031),x15032),f53(f53(f10(a68),x15033),x15032))
% 53.99/54.05 [1504]~P10(a68,x15042,x15043)+~P10(a68,f2(a68),x15041)+P10(a68,f53(f53(f10(a68),x15041),x15042),f53(f53(f10(a68),x15041),x15043))
% 53.99/54.05 [1508]~P10(a69,x15081,x15083)+~P10(a69,f2(a69),x15082)+P10(a69,f53(f53(f10(a69),x15081),x15082),f53(f53(f10(a69),x15083),x15082))
% 53.99/54.05 [1509]~P10(a69,x15092,x15093)+~P10(a69,f2(a69),x15091)+P10(a69,f53(f53(f10(a69),x15091),x15092),f53(f53(f10(a69),x15091),x15093))
% 53.99/54.05 [1510]~P10(a70,x15102,x15103)+~P10(a70,f2(a70),x15101)+P10(a70,f53(f53(f10(a70),x15101),x15102),f53(f53(f10(a70),x15101),x15103))
% 53.99/54.05 [1624]P9(a68,x16241,x16242)+~P10(a68,f2(a68),x16243)+~P9(a68,f53(f53(f10(a68),x16243),x16241),f53(f53(f10(a68),x16243),x16242))
% 53.99/54.05 [1625]P9(a68,x16251,x16252)+~P10(a68,f2(a68),x16253)+~P9(a68,f53(f53(f10(a68),x16251),x16253),f53(f53(f10(a68),x16252),x16253))
% 53.99/54.05 [1627]P9(a69,x16271,x16272)+~P10(a69,f2(a69),x16273)+~P9(a69,f53(f53(f10(a69),x16273),x16271),f53(f53(f10(a69),x16273),x16272))
% 53.99/54.05 [1628]P9(a69,x16281,x16282)+~P10(a69,f2(a69),x16283)+~P9(a69,f53(f53(f10(a69),x16281),x16283),f53(f53(f10(a69),x16282),x16283))
% 53.99/54.05 [1629]P10(a68,x16291,x16292)+~P10(a68,f2(a68),x16293)+~P10(a68,f53(f53(f10(a68),x16291),x16293),f53(f53(f10(a68),x16292),x16293))
% 53.99/54.05 [1631]P10(a69,x16311,x16312)+~P10(a69,f2(a69),x16313)+~P10(a69,f53(f53(f20(a69),x16313),x16311),f53(f53(f20(a69),x16313),x16312))
% 53.99/54.05 [1228]~P56(x12282)+E(x12281,f2(x12282))+E(f53(f53(f20(x12282),f25(x12282,x12281)),x12283),f25(x12282,f53(f53(f20(x12282),x12281),x12283)))
% 53.99/54.05 [1376]~P57(x13761)+~P9(x13761,f2(x13761),x13763)+E(f53(f53(f10(x13761),f7(x13761,x13762)),x13763),f7(x13761,f53(f53(f10(x13761),x13762),x13763)))
% 53.99/54.05 [1535]~P62(x15352)+E(x15351,f2(x15352))+~E(f11(x15352,f53(f53(f10(x15352),x15353),x15353),f53(f53(f10(x15352),x15351),x15351)),f2(x15352))
% 53.99/54.05 [1536]~P62(x15362)+E(x15361,f2(x15362))+~E(f11(x15362,f53(f53(f10(x15362),x15361),x15361),f53(f53(f10(x15362),x15363),x15363)),f2(x15362))
% 53.99/54.05 [1543]~P28(x15432)+E(x15431,f2(a69))+E(f53(f53(f10(x15432),x15433),f53(f53(f20(x15432),x15433),f8(a69,x15431,f3(a69)))),f53(f53(f20(x15432),x15433),x15431))
% 53.99/54.05 [1599]~P54(x15991)+~P10(x15991,f3(x15991),x15992)+P10(x15991,f3(x15991),f53(f53(f10(x15991),x15992),f53(f53(f20(x15991),x15992),x15993)))
% 53.99/54.05 [1686]~P54(x16861)+~P10(x16861,f3(x16861),x16862)+P10(x16861,f53(f53(f20(x16861),x16862),x16863),f53(f53(f10(x16861),x16862),f53(f53(f20(x16861),x16862),x16863)))
% 53.99/54.05 [1690]~P62(x16902)+E(x16901,f2(x16902))+P10(x16902,f2(x16902),f11(x16902,f53(f53(f10(x16902),x16903),x16903),f53(f53(f10(x16902),x16901),x16901)))
% 53.99/54.05 [1691]~P62(x16912)+E(x16911,f2(x16912))+P10(x16912,f2(x16912),f11(x16912,f53(f53(f10(x16912),x16911),x16911),f53(f53(f10(x16912),x16913),x16913)))
% 53.99/54.05 [1739]~P62(x17392)+E(x17391,f2(x17392))+~P9(x17392,f11(x17392,f53(f53(f10(x17392),x17393),x17393),f53(f53(f10(x17392),x17391),x17391)),f2(x17392))
% 53.99/54.05 [1740]~P62(x17402)+E(x17401,f2(x17402))+~P9(x17402,f11(x17402,f53(f53(f10(x17402),x17401),x17401),f53(f53(f10(x17402),x17403),x17403)),f2(x17402))
% 53.99/54.05 [1733]~P4(x17331)+~P10(a69,f2(a69),x17333)+E(f53(f53(f10(x17331),f53(f53(f20(x17331),x17332),f8(a69,x17333,f3(a69)))),x17332),f53(f53(f20(x17331),x17332),x17333))
% 53.99/54.05 [1101]~P21(x11013)+E(x11011,x11012)+~E(f11(x11013,x11014,x11011),f11(x11013,x11014,x11012))
% 53.99/54.05 [1102]~P22(x11023)+E(x11021,x11022)+~E(f11(x11023,x11024,x11021),f11(x11023,x11024,x11022))
% 53.99/54.05 [1104]~P21(x11043)+E(x11041,x11042)+~E(f11(x11043,x11041,x11044),f11(x11043,x11042,x11044))
% 53.99/54.05 [1105]~P29(x11053)+E(x11051,x11052)+~E(f15(x11053,x11051,x11054),f15(x11053,x11052,x11054))
% 53.99/54.05 [1204]~P44(x12042)+~P10(f77(x12041,x12042),x12043,x12044)+P9(f77(x12041,x12042),x12043,x12044)
% 53.99/54.05 [1296]~P44(x12961)+~P10(f77(x12962,x12961),x12964,x12963)+~P9(f77(x12962,x12961),x12963,x12964)
% 53.99/54.05 [1315]~P49(x13151)+~P13(f72(x13151),x13152,x13154)+P13(f72(x13151),x13152,f22(x13151,x13153,x13154))
% 53.99/54.05 [1357]~P10(a69,x13573,x13574)+P10(a69,x13571,x13572)+~E(f11(a69,x13573,x13572),f11(a69,x13571,x13574))
% 53.99/54.05 [1402]~P49(x14021)+~P13(f72(x14021),f22(x14021,x14024,x14022),x14023)+P13(f72(x14021),x14022,x14023)
% 53.99/54.05 [1436]~P33(x14361)+~P9(x14361,x14363,x14364)+P9(x14361,f11(x14361,x14362,x14363),f11(x14361,x14362,x14364))
% 53.99/54.05 [1437]~P34(x14371)+~P9(x14371,x14373,x14374)+P9(x14371,f11(x14371,x14372,x14373),f11(x14371,x14372,x14374))
% 53.99/54.05 [1438]~P33(x14381)+~P9(x14381,x14382,x14384)+P9(x14381,f11(x14381,x14382,x14383),f11(x14381,x14384,x14383))
% 53.99/54.05 [1439]~P34(x14391)+~P9(x14391,x14392,x14394)+P9(x14391,f11(x14391,x14392,x14393),f11(x14391,x14394,x14393))
% 53.99/54.05 [1440]~P33(x14401)+~P10(x14401,x14403,x14404)+P10(x14401,f11(x14401,x14402,x14403),f11(x14401,x14402,x14404))
% 53.99/54.05 [1441]~P35(x14411)+~P10(x14411,x14413,x14414)+P10(x14411,f11(x14411,x14412,x14413),f11(x14411,x14412,x14414))
% 53.99/54.05 [1442]~P33(x14421)+~P10(x14421,x14422,x14424)+P10(x14421,f11(x14421,x14422,x14423),f11(x14421,x14424,x14423))
% 53.99/54.05 [1443]~P35(x14431)+~P10(x14431,x14432,x14434)+P10(x14431,f11(x14431,x14432,x14433),f11(x14431,x14434,x14433))
% 53.99/54.05 [1537]~P9(a69,x15372,x15374)+~P9(a69,x15371,x15373)+P9(a69,f11(a69,x15371,x15372),f11(a69,x15373,x15374))
% 53.99/54.05 [1538]~P10(a69,x15382,x15384)+~P10(a69,x15381,x15383)+P10(a69,f11(a69,x15381,x15382),f11(a69,x15383,x15384))
% 53.99/54.05 [1541]~P9(a70,x15412,x15414)+~P10(a70,x15411,x15413)+P10(a70,f11(a70,x15411,x15412),f11(a70,x15413,x15414))
% 53.99/54.05 [1602]~P33(x16021)+P9(x16021,x16022,x16023)+~P9(x16021,f11(x16021,x16024,x16022),f11(x16021,x16024,x16023))
% 53.99/54.05 [1604]~P33(x16041)+P9(x16041,x16042,x16043)+~P9(x16041,f11(x16041,x16042,x16044),f11(x16041,x16043,x16044))
% 53.99/54.05 [1606]~P33(x16061)+P10(x16061,x16062,x16063)+~P10(x16061,f11(x16061,x16064,x16062),f11(x16061,x16064,x16063))
% 53.99/54.05 [1608]~P33(x16081)+P10(x16081,x16082,x16083)+~P10(x16081,f11(x16081,x16082,x16084),f11(x16081,x16083,x16084))
% 53.99/54.05 [1137]~P53(x11372)+~E(f17(x11372,x11373,x11371),f22(x11372,x11374,x11371))+E(x11371,f2(f72(x11372)))
% 53.99/54.05 [1597]~P53(x15972)+~E(f11(f72(x15972),f22(x15972,x15973,x15971),f17(x15972,x15974,x15971)),f2(f72(x15972)))+E(x15971,f2(f72(x15972)))
% 53.99/54.05 [1613]~E(x16133,f11(a69,x16134,x16132))+P82(f53(x16131,x16132))+~P82(f53(x16131,f8(a69,x16133,x16134)))
% 53.99/54.05 [1706]~P57(x17061)+P10(x17061,x17062,f11(x17061,x17063,x17064))+~P10(x17061,f7(x17061,f8(x17061,x17062,x17063)),x17064)
% 53.99/54.05 [1707]~P57(x17071)+P10(x17071,f8(x17071,x17072,x17073),x17074)+~P10(x17071,f7(x17071,f8(x17071,x17074,x17072)),x17073)
% 53.99/54.05 [1799]~P44(x17992)+P9(f77(x17991,x17992),x17993,x17994)+~P9(x17992,f53(x17993,f45(x17994,x17993,x17991,x17992)),f53(x17994,f45(x17994,x17993,x17991,x17992)))
% 53.99/54.05 [1431]~P49(x14311)+~P13(x14311,x14312,x14314)+P13(x14311,f53(f53(f20(x14311),x14312),x14313),f53(f53(f20(x14311),x14314),x14313))
% 53.99/54.05 [1494]~P9(a69,x14942,x14944)+~P9(a69,x14941,x14943)+P9(a69,f53(f53(f10(a69),x14941),x14942),f53(f53(f10(a69),x14943),x14944))
% 53.99/54.05 [1106]~P29(x11063)+E(x11061,x11062)+~E(f17(x11063,x11064,x11061),f17(x11063,x11065,x11062))
% 53.99/54.05 [1107]~P29(x11073)+E(x11071,x11072)+~E(f17(x11073,x11071,x11074),f17(x11073,x11072,x11075))
% 53.99/54.05 [1261]~P44(x12611)+P9(x12611,f53(x12612,x12613),f53(x12614,x12613))+~P9(f77(x12615,x12611),x12612,x12614)
% 53.99/54.05 [1488]~P53(x14882)+~E(f11(f72(x14882),x14883,f22(x14882,x14884,x14885)),f17(x14882,x14881,x14885))+E(x14881,f53(f14(x14882,x14883),x14884))
% 53.99/54.05 [1515]~P53(x15152)+E(x15151,f23(x15152,x15153,x15154))+~E(f11(f72(x15152),x15153,f22(x15152,x15154,x15151)),f17(x15152,x15155,x15151))
% 53.99/54.05 [1645]~E(x16452,x16454)+~P81(x16451)+E(f11(x16451,f53(f53(f10(x16451),x16452),x16453),f53(f53(f10(x16451),x16454),x16455)),f11(x16451,f53(f53(f10(x16451),x16452),x16455),f53(f53(f10(x16451),x16454),x16453)))
% 53.99/54.05 [1753]~P9(a69,x17533,x17532)+E(x17531,f11(a69,f53(f53(f10(a69),f8(a69,x17532,x17533)),x17534),x17535))+~E(f11(a69,f53(f53(f10(a69),x17533),x17534),x17531),f11(a69,f53(f53(f10(a69),x17532),x17534),x17535))
% 53.99/54.05 [1754]~P9(a69,x17542,x17541)+E(f11(a69,f53(f53(f10(a69),f8(a69,x17541,x17542)),x17543),x17544),x17545)+~E(f11(a69,f53(f53(f10(a69),x17541),x17543),x17544),f11(a69,f53(f53(f10(a69),x17542),x17543),x17545))
% 53.99/54.05 [1762]~P9(a69,x17624,x17621)+~E(x17625,f11(a69,f53(f53(f10(a69),f8(a69,x17621,x17624)),x17622),x17623))+E(f11(a69,f53(f53(f10(a69),x17621),x17622),x17623),f11(a69,f53(f53(f10(a69),x17624),x17622),x17625))
% 53.99/54.05 [1763]~P9(a69,x17634,x17631)+~E(f11(a69,f53(f53(f10(a69),f8(a69,x17631,x17634)),x17632),x17633),x17635)+E(f11(a69,f53(f53(f10(a69),x17631),x17632),x17633),f11(a69,f53(f53(f10(a69),x17634),x17632),x17635))
% 53.99/54.05 [1780]~P9(a69,x17803,x17802)+P9(a69,x17801,f11(a69,f53(f53(f10(a69),f8(a69,x17802,x17803)),x17804),x17805))+~P9(a69,f11(a69,f53(f53(f10(a69),x17803),x17804),x17801),f11(a69,f53(f53(f10(a69),x17802),x17804),x17805))
% 53.99/54.05 [1781]~P9(a69,x17813,x17812)+P10(a69,x17811,f11(a69,f53(f53(f10(a69),f8(a69,x17812,x17813)),x17814),x17815))+~P10(a69,f11(a69,f53(f53(f10(a69),x17813),x17814),x17811),f11(a69,f53(f53(f10(a69),x17812),x17814),x17815))
% 53.99/54.05 [1782]~P9(a69,x17822,x17821)+P9(a69,f11(a69,f53(f53(f10(a69),f8(a69,x17821,x17822)),x17823),x17824),x17825)+~P9(a69,f11(a69,f53(f53(f10(a69),x17821),x17823),x17824),f11(a69,f53(f53(f10(a69),x17822),x17823),x17825))
% 53.99/54.05 [1783]~P9(a69,x17832,x17831)+P10(a69,f11(a69,f53(f53(f10(a69),f8(a69,x17831,x17832)),x17833),x17834),x17835)+~P10(a69,f11(a69,f53(f53(f10(a69),x17831),x17833),x17834),f11(a69,f53(f53(f10(a69),x17832),x17833),x17835))
% 53.99/54.05 [1789]~P9(a69,x17891,x17894)+~P9(a69,x17893,f11(a69,f53(f53(f10(a69),f8(a69,x17894,x17891)),x17892),x17895))+P9(a69,f11(a69,f53(f53(f10(a69),x17891),x17892),x17893),f11(a69,f53(f53(f10(a69),x17894),x17892),x17895))
% 53.99/54.05 [1790]~P9(a69,x17901,x17904)+~P10(a69,x17903,f11(a69,f53(f53(f10(a69),f8(a69,x17904,x17901)),x17902),x17905))+P10(a69,f11(a69,f53(f53(f10(a69),x17901),x17902),x17903),f11(a69,f53(f53(f10(a69),x17904),x17902),x17905))
% 53.99/54.05 [1791]~P9(a69,x17914,x17911)+~P9(a69,f11(a69,f53(f53(f10(a69),f8(a69,x17911,x17914)),x17912),x17913),x17915)+P9(a69,f11(a69,f53(f53(f10(a69),x17911),x17912),x17913),f11(a69,f53(f53(f10(a69),x17914),x17912),x17915))
% 53.99/54.05 [1792]~P9(a69,x17924,x17921)+~P10(a69,f11(a69,f53(f53(f10(a69),f8(a69,x17921,x17924)),x17922),x17923),x17925)+P10(a69,f11(a69,f53(f53(f10(a69),x17921),x17922),x17923),f11(a69,f53(f53(f10(a69),x17924),x17922),x17925))
% 53.99/54.05 [1751]~P71(x17512)+~E(f11(x17512,f53(f53(f10(x17512),x17514),x17515),x17511),f11(x17512,f53(f53(f10(x17512),x17513),x17515),x17516))+E(x17511,f11(x17512,f53(f53(f10(x17512),f8(x17512,x17513,x17514)),x17515),x17516))
% 53.99/54.05 [1752]~P71(x17521)+~E(f11(x17521,f53(f53(f10(x17521),x17522),x17524),x17525),f11(x17521,f53(f53(f10(x17521),x17523),x17524),x17526))+E(f11(x17521,f53(f53(f10(x17521),f8(x17521,x17522,x17523)),x17524),x17525),x17526)
% 53.99/54.05 [1760]~P71(x17601)+~E(x17606,f11(x17601,f53(f53(f10(x17601),f8(x17601,x17602,x17605)),x17603),x17604))+E(f11(x17601,f53(f53(f10(x17601),x17602),x17603),x17604),f11(x17601,f53(f53(f10(x17601),x17605),x17603),x17606))
% 53.99/54.05 [1761]~P71(x17611)+~E(f11(x17611,f53(f53(f10(x17611),f8(x17611,x17612,x17615)),x17613),x17614),x17616)+E(f11(x17611,f53(f53(f10(x17611),x17612),x17613),x17614),f11(x17611,f53(f53(f10(x17611),x17615),x17613),x17616))
% 53.99/54.05 [1784]~P72(x17841)+~P9(x17841,f11(x17841,f53(f53(f10(x17841),x17844),x17845),x17842),f11(x17841,f53(f53(f10(x17841),x17843),x17845),x17846))+P9(x17841,x17842,f11(x17841,f53(f53(f10(x17841),f8(x17841,x17843,x17844)),x17845),x17846))
% 53.99/54.05 [1785]~P72(x17851)+~P10(x17851,f11(x17851,f53(f53(f10(x17851),x17854),x17855),x17852),f11(x17851,f53(f53(f10(x17851),x17853),x17855),x17856))+P10(x17851,x17852,f11(x17851,f53(f53(f10(x17851),f8(x17851,x17853,x17854)),x17855),x17856))
% 53.99/54.05 [1786]~P72(x17861)+~P9(x17861,f11(x17861,f53(f53(f10(x17861),x17862),x17864),x17865),f11(x17861,f53(f53(f10(x17861),x17863),x17864),x17866))+P9(x17861,f11(x17861,f53(f53(f10(x17861),f8(x17861,x17862,x17863)),x17864),x17865),x17866)
% 53.99/54.05 [1787]~P72(x17871)+~P10(x17871,f11(x17871,f53(f53(f10(x17871),x17872),x17874),x17875),f11(x17871,f53(f53(f10(x17871),x17873),x17874),x17876))+P10(x17871,f11(x17871,f53(f53(f10(x17871),f8(x17871,x17872,x17873)),x17874),x17875),x17876)
% 53.99/54.05 [1793]~P72(x17931)+~P9(x17931,x17934,f11(x17931,f53(f53(f10(x17931),f8(x17931,x17935,x17932)),x17933),x17936))+P9(x17931,f11(x17931,f53(f53(f10(x17931),x17932),x17933),x17934),f11(x17931,f53(f53(f10(x17931),x17935),x17933),x17936))
% 53.99/54.05 [1794]~P72(x17941)+~P10(x17941,x17944,f11(x17941,f53(f53(f10(x17941),f8(x17941,x17945,x17942)),x17943),x17946))+P10(x17941,f11(x17941,f53(f53(f10(x17941),x17942),x17943),x17944),f11(x17941,f53(f53(f10(x17941),x17945),x17943),x17946))
% 53.99/54.05 [1795]~P72(x17951)+~P9(x17951,f11(x17951,f53(f53(f10(x17951),f8(x17951,x17952,x17955)),x17953),x17954),x17956)+P9(x17951,f11(x17951,f53(f53(f10(x17951),x17952),x17953),x17954),f11(x17951,f53(f53(f10(x17951),x17955),x17953),x17956))
% 53.99/54.05 [1796]~P72(x17961)+~P10(x17961,f11(x17961,f53(f53(f10(x17961),f8(x17961,x17962,x17965)),x17963),x17964),x17966)+P10(x17961,f11(x17961,f53(f53(f10(x17961),x17962),x17963),x17964),f11(x17961,f53(f53(f10(x17961),x17965),x17963),x17966))
% 53.99/54.05 [979]~P38(x9792)+~P10(x9792,f2(x9792),x9791)+E(f12(x9792,x9791),f3(x9792))+E(x9791,f2(x9792))
% 53.99/54.05 [1187]~P6(x11872)+~P10(x11872,f25(x11872,x11871),f2(x11872))+P10(x11872,x11871,f2(x11872))+E(x11871,f2(x11872))
% 53.99/54.05 [1188]~P6(x11882)+~P10(x11882,f2(x11882),f25(x11882,x11881))+P10(x11882,f2(x11882),x11881)+E(x11881,f2(x11882))
% 53.99/54.05 [1301]~P15(x13011)+P9(x13011,f3(x13011),x13012)+~P9(x13011,f25(x13011,x13012),f3(x13011))+P9(x13011,x13012,f2(x13011))
% 53.99/54.05 [1302]~P15(x13021)+P10(x13021,f3(x13021),x13022)+~P10(x13021,f25(x13021,x13022),f3(x13021))+P9(x13021,x13022,f2(x13021))
% 53.99/54.05 [1327]~P6(x13271)+~P9(x13271,x13272,f3(x13271))+~P10(x13271,f2(x13271),x13272)+P9(x13271,f3(x13271),f25(x13271,x13272))
% 53.99/54.05 [1328]~P15(x13281)+~P9(x13281,x13282,f3(x13281))+~P10(x13281,f2(x13281),x13282)+P9(x13281,f3(x13281),f25(x13281,x13282))
% 53.99/54.05 [1329]~P6(x13291)+~P10(x13291,x13292,f3(x13291))+~P10(x13291,f2(x13291),x13292)+P10(x13291,f3(x13291),f25(x13291,x13292))
% 53.99/54.05 [1330]~P15(x13301)+~P10(x13301,x13302,f3(x13301))+~P10(x13301,f2(x13301),x13302)+P10(x13301,f3(x13301),f25(x13301,x13302))
% 53.99/54.05 [837]P12(x8372,x8371)+~P57(x8372)+P12(x8372,f9(f72(x8372),x8371))+E(x8371,f2(f72(x8372)))
% 53.99/54.05 [928]~P38(x9282)+P10(x9282,f2(x9282),x9281)+E(x9281,f2(x9282))+E(f12(x9282,x9281),f9(x9282,f3(x9282)))
% 53.99/54.05 [1078]~P57(x10782)+~P10(f72(x10782),f2(f72(x10782)),x10781)+E(f12(f72(x10782),x10781),f3(f72(x10782)))+E(x10781,f2(f72(x10782)))
% 53.99/54.05 [838]~P28(x8382)+~P78(x8382)+E(x8381,f2(a69))+E(f53(f53(f20(x8382),f2(x8382)),x8381),f2(x8382))
% 53.99/54.05 [974]~P70(x9742)+E(x9741,f3(x9742))+E(x9741,f9(x9742,f3(x9742)))+~E(f53(f53(f10(x9742),x9741),x9741),f3(x9742))
% 53.99/54.05 [1032]~E(x10322,f3(a70))+~E(x10321,f3(a70))+~P10(a70,f2(a70),x10321)+E(f53(f53(f10(a70),x10321),x10322),f3(a70))
% 53.99/54.05 [1061]~P57(x10612)+P10(f72(x10612),f2(f72(x10612)),x10611)+E(x10611,f2(f72(x10612)))+E(f12(f72(x10612),x10611),f9(f72(x10612),f3(f72(x10612))))
% 53.99/54.05 [1737]~P10(a68,x17372,x17371)+~P9(a68,x17371,f3(a68))+~P9(a68,f2(a68),x17372)+P10(a68,f11(a68,f7(a68,f8(a68,f3(a68),x17371)),x17372),f3(a68))
% 53.99/54.05 [959]P10(x9593,x9591,x9592)+~P57(x9593)+E(x9591,x9592)+P10(x9593,x9592,x9591)
% 53.99/54.05 [965]P10(x9653,x9651,x9652)+~P41(x9653)+E(x9651,x9652)+P10(x9653,x9652,x9651)
% 53.99/54.05 [968]P10(x9681,x9682,x9683)+~E(x9682,x9683)+~P41(x9681)+P9(x9681,x9682,x9683)
% 53.99/54.05 [1035]~P45(x10353)+~P9(x10353,x10352,x10351)+E(x10351,x10352)+P10(x10353,x10352,x10351)
% 53.99/54.05 [1037]~P41(x10373)+~P9(x10373,x10371,x10372)+E(x10371,x10372)+P10(x10373,x10371,x10372)
% 53.99/54.05 [1043]~P45(x10433)+~P9(x10433,x10431,x10432)+E(x10431,x10432)+P10(x10433,x10431,x10432)
% 53.99/54.05 [1113]~P9(x11133,x11132,x11131)+~P9(x11133,x11131,x11132)+E(x11131,x11132)+~P45(x11133)
% 53.99/54.05 [1170]P10(x11701,x11703,x11702)+~P40(x11701)+~P9(x11701,x11703,x11702)+P9(x11701,x11702,x11703)
% 53.99/54.05 [754]~P59(x7543)+~P39(x7543)+E(x7541,x7542)+~E(f14(x7543,x7541),f14(x7543,x7542))
% 53.99/54.05 [1317]~P57(x13171)+P12(x13171,x13172)+P10(x13171,f2(x13171),x13173)+~P12(x13171,f17(x13171,x13173,x13172))
% 53.99/54.05 [1340]~P6(x13401)+~P9(x13401,x13403,x13402)+~P10(x13401,x13402,f2(x13401))+P9(x13401,f25(x13401,x13402),f25(x13401,x13403))
% 53.99/54.05 [1341]~P6(x13411)+~P10(x13411,x13413,x13412)+~P10(x13411,x13412,f2(x13411))+P10(x13411,f25(x13411,x13412),f25(x13411,x13413))
% 53.99/54.05 [1342]~P6(x13421)+~P9(x13421,x13423,x13422)+~P10(x13421,f2(x13421),x13423)+P9(x13421,f25(x13421,x13422),f25(x13421,x13423))
% 53.99/54.05 [1343]~P6(x13431)+~P10(x13431,x13433,x13432)+~P10(x13431,f2(x13431),x13433)+P10(x13431,f25(x13431,x13432),f25(x13431,x13433))
% 53.99/54.05 [1353]~P30(x13531)+~P9(x13531,x13532,x13533)+~P9(x13531,f9(x13531,x13532),x13533)+P9(x13531,f7(x13531,x13532),x13533)
% 53.99/54.05 [1354]~P57(x13541)+~P10(x13541,x13542,x13543)+~P10(x13541,f9(x13541,x13542),x13543)+P10(x13541,f7(x13541,x13542),x13543)
% 53.99/54.05 [1384]~P6(x13841)+P9(x13841,x13842,x13843)+~P10(x13841,x13842,f2(x13841))+~P9(x13841,f25(x13841,x13843),f25(x13841,x13842))
% 53.99/54.05 [1385]~P6(x13851)+P10(x13851,x13852,x13853)+~P10(x13851,x13852,f2(x13851))+~P10(x13851,f25(x13851,x13853),f25(x13851,x13852))
% 53.99/54.05 [1386]~P6(x13861)+P9(x13861,x13862,x13863)+~P10(x13861,f2(x13861),x13863)+~P9(x13861,f25(x13861,x13863),f25(x13861,x13862))
% 53.99/54.05 [1387]~P6(x13871)+P10(x13871,x13872,x13873)+~P10(x13871,f2(x13871),x13873)+~P10(x13871,f25(x13871,x13873),f25(x13871,x13872))
% 53.99/54.05 [1406]E(x14061,x14062)+~P9(a69,x14063,x14062)+~P9(a69,x14063,x14061)+~E(f8(a69,x14061,x14063),f8(a69,x14062,x14063))
% 53.99/54.05 [1467]~P36(x14671)+~P10(x14671,f2(x14671),x14673)+~P10(x14671,f2(x14671),x14672)+P10(x14671,f2(x14671),f11(x14671,x14672,x14673))
% 53.99/54.05 [1468]~P36(x14681)+~P9(x14681,x14683,f2(x14681))+~P9(x14681,x14682,f2(x14681))+P9(x14681,f11(x14681,x14682,x14683),f2(x14681))
% 53.99/54.05 [1469]~P36(x14691)+~P9(x14691,x14693,f2(x14691))+~P10(x14691,x14692,f2(x14691))+P10(x14691,f11(x14691,x14692,x14693),f2(x14691))
% 53.99/54.05 [1470]~P36(x14701)+~P9(x14701,x14702,f2(x14701))+~P10(x14701,x14703,f2(x14701))+P10(x14701,f11(x14701,x14702,x14703),f2(x14701))
% 53.99/54.05 [1471]~P36(x14711)+~P10(x14711,x14713,f2(x14711))+~P10(x14711,x14712,f2(x14711))+P10(x14711,f11(x14711,x14712,x14713),f2(x14711))
% 53.99/54.05 [1704]~P9(a69,x17043,x17041)+P9(a69,x17041,x17042)+~P9(a69,x17043,x17042)+~P9(a69,f8(a69,x17041,x17043),f8(a69,x17042,x17043))
% 53.99/54.05 [1705]~P9(a69,x17053,x17051)+P10(a69,x17051,x17052)+~P9(a69,x17053,x17052)+~P10(a69,f8(a69,x17051,x17053),f8(a69,x17052,x17053))
% 53.99/54.05 [907]~P29(x9071)+~E(x9072,f2(x9071))+~E(x9073,f2(f72(x9071)))+E(f17(x9071,x9072,x9073),f2(f72(x9071)))
% 53.99/54.05 [978]~P59(x9782)+E(x9781,f2(x9782))+~E(f22(x9782,x9781,x9783),f2(f72(x9782)))+E(x9783,f2(f72(x9782)))
% 53.99/54.05 [1086]~P59(x10862)+~E(f18(x10862,x10863,x10861),f2(a69))+~E(f53(f14(x10862,x10861),x10863),f2(x10862))+E(x10861,f2(f72(x10862)))
% 53.99/54.05 [1125]~P57(x11251)+~P12(x11251,x11253)+~P12(x11251,x11252)+P12(x11251,f11(f72(x11251),x11252,x11253))
% 53.99/54.05 [1216]P12(x12162,x12161)+~P57(x12162)+~P12(x12162,f17(x12162,x12163,x12161))+E(x12161,f2(f72(x12162)))
% 53.99/54.05 [1249]~P57(x12493)+E(x12491,x12492)+~P9(f72(x12493),x12491,x12492)+P12(x12493,f8(f72(x12493),x12492,x12491))
% 53.99/54.05 [1267]~P57(x12671)+~P10(x12671,f2(x12671),x12672)+P12(x12671,f17(x12671,x12672,x12673))+~E(x12673,f2(f72(x12671)))
% 53.99/54.05 [1474]~P47(x14741)+~P9(a68,x14743,f27(x14741,x14742))+~P10(a68,f2(a68),x14743)+P9(a68,f27(x14741,f25(x14741,x14742)),f25(a68,x14743))
% 53.99/54.05 [1747]~P56(x17472)+E(x17471,f2(x17472))+E(x17473,f2(x17472))+E(f53(f53(f10(x17472),f53(f53(f10(x17472),f25(x17472,x17473)),f11(x17472,x17473,x17471))),f25(x17472,x17471)),f11(x17472,f25(x17472,x17473),f25(x17472,x17471)))
% 53.99/54.05 [1748]~P56(x17482)+E(x17481,f2(x17482))+E(x17483,f2(x17482))+E(f53(f53(f10(x17482),f53(f53(f10(x17482),f25(x17482,x17483)),f8(x17482,x17481,x17483))),f25(x17482,x17481)),f8(x17482,f25(x17482,x17483),f25(x17482,x17481)))
% 53.99/54.05 [1766]~P8(x17662)+E(x17661,f2(x17662))+E(x17663,f2(x17662))+E(f53(f53(f10(x17662),f53(f53(f10(x17662),f11(x17662,x17663,x17661)),f25(x17662,x17663))),f25(x17662,x17661)),f11(x17662,f25(x17662,x17663),f25(x17662,x17661)))
% 53.99/54.05 [922]~P68(x9222)+E(x9221,f2(x9222))+E(x9223,f2(x9222))+~E(f53(f53(f10(x9222),x9223),x9221),f2(x9222))
% 53.99/54.05 [923]~P79(x9232)+E(x9231,f2(x9232))+E(x9233,f2(x9232))+~E(f53(f53(f10(x9232),x9233),x9231),f2(x9232))
% 53.99/54.05 [1126]~P59(x11263)+E(x11261,x11262)+E(x11261,f9(x11263,x11262))+~E(f53(f53(f10(x11263),x11261),x11261),f53(f53(f10(x11263),x11262),x11262))
% 53.99/54.05 [1432]~P54(x14321)+~P10(x14321,f3(x14321),x14322)+~P10(a69,f2(a69),x14323)+P10(x14321,f3(x14321),f53(f53(f20(x14321),x14322),x14323))
% 53.99/54.05 [1445]~P72(x14451)+~P9(x14451,x14453,f2(x14451))+~P9(x14451,x14452,f2(x14451))+P9(x14451,f2(x14451),f53(f53(f10(x14451),x14452),x14453))
% 53.99/54.05 [1446]~P62(x14461)+~P9(x14461,x14463,f2(x14461))+~P9(x14461,x14462,f2(x14461))+P9(x14461,f2(x14461),f53(f53(f10(x14461),x14462),x14463))
% 53.99/54.05 [1447]~P62(x14471)+~P10(x14471,x14473,f2(x14471))+~P10(x14471,x14472,f2(x14471))+P10(x14471,f2(x14471),f53(f53(f10(x14471),x14472),x14473))
% 53.99/54.05 [1448]~P72(x14481)+~P9(x14481,f2(x14481),x14483)+~P9(x14481,f2(x14481),x14482)+P9(x14481,f2(x14481),f53(f53(f10(x14481),x14482),x14483))
% 53.99/54.05 [1449]~P62(x14491)+~P9(x14491,f2(x14491),x14493)+~P9(x14491,f2(x14491),x14492)+P9(x14491,f2(x14491),f53(f53(f10(x14491),x14492),x14493))
% 53.99/54.05 [1450]~P73(x14501)+~P9(x14501,f2(x14501),x14503)+~P9(x14501,f2(x14501),x14502)+P9(x14501,f2(x14501),f53(f53(f10(x14501),x14502),x14503))
% 53.99/54.05 [1451]~P67(x14511)+~P10(x14511,f2(x14511),x14513)+~P10(x14511,f2(x14511),x14512)+P10(x14511,f2(x14511),f53(f53(f10(x14511),x14512),x14513))
% 53.99/54.05 [1452]~P54(x14521)+~P10(x14521,f3(x14521),x14523)+~P10(x14521,f3(x14521),x14522)+P10(x14521,f3(x14521),f53(f53(f10(x14521),x14522),x14523))
% 53.99/54.05 [1454]~P62(x14541)+~P9(x14541,x14543,f2(x14541))+~P9(x14541,f2(x14541),x14542)+P9(x14541,f53(f53(f10(x14541),x14542),x14543),f2(x14541))
% 53.99/54.05 [1455]~P62(x14551)+~P9(x14551,x14552,f2(x14551))+~P9(x14551,f2(x14551),x14553)+P9(x14551,f53(f53(f10(x14551),x14552),x14553),f2(x14551))
% 53.99/54.05 [1457]~P73(x14571)+~P9(x14571,x14573,f2(x14571))+~P9(x14571,f2(x14571),x14572)+P9(x14571,f53(f53(f10(x14571),x14572),x14573),f2(x14571))
% 53.99/54.05 [1459]~P73(x14591)+~P9(x14591,x14592,f2(x14591))+~P9(x14591,f2(x14591),x14593)+P9(x14591,f53(f53(f10(x14591),x14592),x14593),f2(x14591))
% 53.99/54.05 [1461]~P67(x14611)+~P10(x14611,x14613,f2(x14611))+~P10(x14611,f2(x14611),x14612)+P10(x14611,f53(f53(f10(x14611),x14612),x14613),f2(x14611))
% 53.99/54.05 [1462]~P67(x14621)+~P10(x14621,x14622,f2(x14621))+~P10(x14621,f2(x14621),x14623)+P10(x14621,f53(f53(f10(x14621),x14622),x14623),f2(x14621))
% 53.99/54.05 [1478]~P62(x14781)+P9(x14781,x14782,f2(x14781))+P9(x14781,x14783,f2(x14781))+~P9(x14781,f53(f53(f10(x14781),x14783),x14782),f2(x14781))
% 53.99/54.05 [1479]~P62(x14791)+P9(x14791,x14792,f2(x14791))+P9(x14791,f2(x14791),x14793)+~P9(x14791,f2(x14791),f53(f53(f10(x14791),x14793),x14792))
% 53.99/54.05 [1480]~P62(x14801)+P9(x14801,x14802,f2(x14801))+P9(x14801,f2(x14801),x14803)+~P9(x14801,f2(x14801),f53(f53(f10(x14801),x14802),x14803))
% 53.99/54.05 [1481]~P62(x14811)+P9(x14811,f2(x14811),x14812)+P9(x14811,x14812,f2(x14811))+~P9(x14811,f2(x14811),f53(f53(f10(x14811),x14813),x14812))
% 53.99/54.05 [1482]~P62(x14821)+P9(x14821,f2(x14821),x14822)+P9(x14821,x14822,f2(x14821))+~P9(x14821,f2(x14821),f53(f53(f10(x14821),x14822),x14823))
% 53.99/54.05 [1483]~P62(x14831)+P9(x14831,f2(x14831),x14832)+P9(x14831,x14832,f2(x14831))+~P9(x14831,f53(f53(f10(x14831),x14833),x14832),f2(x14831))
% 53.99/54.05 [1484]~P62(x14841)+P9(x14841,f2(x14841),x14842)+P9(x14841,x14842,f2(x14841))+~P9(x14841,f53(f53(f10(x14841),x14842),x14843),f2(x14841))
% 53.99/54.05 [1485]~P62(x14851)+P9(x14851,f2(x14851),x14852)+P9(x14851,f2(x14851),x14853)+~P9(x14851,f53(f53(f10(x14851),x14852),x14853),f2(x14851))
% 53.99/54.05 [1525]~P67(x15251)+P10(x15251,f2(x15251),x15252)+~P10(x15251,f2(x15251),x15253)+~P10(x15251,f2(x15251),f53(f53(f10(x15251),x15253),x15252))
% 53.99/54.05 [1526]~P67(x15261)+P10(x15261,f2(x15261),x15262)+~P10(x15261,f2(x15261),x15263)+~P10(x15261,f2(x15261),f53(f53(f10(x15261),x15262),x15263))
% 53.99/54.05 [1775]~P56(x17752)+E(x17751,f2(x17752))+E(x17753,f2(x17752))+E(f9(x17752,f53(f53(f10(x17752),f53(f53(f10(x17752),f25(x17752,x17753)),f8(x17752,x17753,x17751))),f25(x17752,x17751))),f8(x17752,f25(x17752,x17753),f25(x17752,x17751)))
% 53.99/54.05 [1207]~P57(x12071)+~P12(x12071,x12073)+~P12(x12071,x12072)+P12(x12071,f53(f53(f10(f72(x12071)),x12072),x12073))
% 53.99/54.05 [1298]~P56(x12982)+E(x12981,f2(x12982))+E(x12983,f2(x12982))+E(f53(f53(f10(x12982),f25(x12982,x12981)),f25(x12982,x12983)),f25(x12982,f53(f53(f10(x12982),x12983),x12981)))
% 53.99/54.05 [1334]~P62(x13341)+~E(x13343,f2(x13341))+~E(x13342,f2(x13341))+E(f11(x13341,f53(f53(f10(x13341),x13342),x13342),f53(f53(f10(x13341),x13343),x13343)),f2(x13341))
% 53.99/54.05 [1548]~P76(x15481)+~P9(x15481,x15482,f2(x15481))+~P9(x15481,x15483,f2(x15481))+E(f53(f53(f10(x15481),f7(x15481,x15482)),f7(x15481,x15483)),f7(x15481,f53(f53(f10(x15481),x15482),x15483)))
% 53.99/54.05 [1549]~P76(x15491)+~P9(x15491,x15492,f2(x15491))+~P9(x15491,f2(x15491),x15493)+E(f53(f53(f10(x15491),f7(x15491,x15492)),f7(x15491,x15493)),f7(x15491,f53(f53(f10(x15491),x15492),x15493)))
% 53.99/54.05 [1550]~P76(x15501)+~P9(x15501,x15503,f2(x15501))+~P9(x15501,f2(x15501),x15502)+E(f53(f53(f10(x15501),f7(x15501,x15502)),f7(x15501,x15503)),f7(x15501,f53(f53(f10(x15501),x15502),x15503)))
% 53.99/54.05 [1551]~P76(x15511)+~P9(x15511,f2(x15511),x15512)+~P9(x15511,f2(x15511),x15513)+E(f53(f53(f10(x15511),f7(x15511,x15512)),f7(x15511,x15513)),f7(x15511,f53(f53(f10(x15511),x15512),x15513)))
% 53.99/54.05 [1591]~P10(a70,x15912,x15913)+~P10(a70,f2(a70),x15913)+P9(a70,f3(a70),x15911)+~E(f11(a70,x15912,f53(f53(f10(a70),x15913),x15911)),x15913)
% 53.99/54.05 [1594]~P9(a70,f2(a70),x15942)+~P10(a70,f2(a70),x15943)+P9(a70,x15941,f3(a70))+~E(f11(a70,x15942,f53(f53(f10(a70),x15943),x15941)),x15943)
% 53.99/54.05 [1692]~P62(x16921)+~E(x16923,f2(x16921))+~E(x16922,f2(x16921))+P9(x16921,f11(x16921,f53(f53(f10(x16921),x16922),x16922),f53(f53(f10(x16921),x16923),x16923)),f2(x16921))
% 53.99/54.05 [1712]~P54(x17121)+~P10(x17121,x17122,f3(x17121))+~P10(x17121,f2(x17121),x17122)+P10(x17121,f53(f53(f10(x17121),x17122),f53(f53(f20(x17121),x17122),x17123)),f53(f53(f20(x17121),x17122),x17123))
% 53.99/54.05 [1725]~P10(a70,x17252,x17253)+~P10(a70,f2(a70),x17253)+P9(a70,f2(a70),x17251)+~P9(a70,f2(a70),f11(a70,f53(f53(f10(a70),x17253),x17251),x17252))
% 53.99/54.05 [1726]P9(a70,x17261,f2(a70))+~P9(a70,f2(a70),x17262)+~P10(a70,f2(a70),x17263)+~P10(a70,f11(a70,f53(f53(f10(a70),x17263),x17261),x17262),f2(a70))
% 53.99/54.05 [1742]~P62(x17422)+~E(x17421,f2(x17422))+~E(x17423,f2(x17422))+~P10(x17422,f2(x17422),f11(x17422,f53(f53(f10(x17422),x17423),x17423),f53(f53(f10(x17422),x17421),x17421)))
% 53.99/54.05 [1232]~P45(x12321)+~P9(x12321,x12324,x12323)+P9(x12321,x12322,x12323)+~P9(x12321,x12322,x12324)
% 53.99/54.05 [1233]~P40(x12331)+~P9(x12331,x12332,x12334)+P9(x12331,x12332,x12333)+~P9(x12331,x12334,x12333)
% 53.99/54.05 [1234]~P45(x12341)+~P10(x12341,x12344,x12343)+P10(x12341,x12342,x12343)+~P9(x12341,x12342,x12344)
% 53.99/54.05 [1235]~P45(x12351)+~P10(x12351,x12352,x12354)+P10(x12351,x12352,x12353)+~P9(x12351,x12354,x12353)
% 53.99/54.05 [1236]~P45(x12361)+~P10(x12361,x12364,x12363)+P10(x12361,x12362,x12363)+~P10(x12361,x12362,x12364)
% 53.99/54.05 [1237]~P40(x12371)+~P10(x12371,x12372,x12374)+P10(x12371,x12372,x12373)+~P9(x12371,x12374,x12373)
% 53.99/54.05 [1238]~P40(x12381)+~P10(x12381,x12384,x12383)+P10(x12381,x12382,x12383)+~P9(x12381,x12382,x12384)
% 53.99/54.05 [1239]~P40(x12391)+~P10(x12391,x12392,x12394)+P10(x12391,x12392,x12393)+~P10(x12391,x12394,x12393)
% 53.99/54.05 [1240]~P49(x12401)+~P13(x12401,x12402,x12404)+P13(x12401,x12402,x12403)+~P13(x12401,x12404,x12403)
% 53.99/54.05 [1208]~P45(x12081)+~P14(x12081,x12082)+~P9(a69,x12084,x12083)+P9(x12081,f53(x12082,x12083),f53(x12082,x12084))
% 53.99/54.05 [1339]~P44(x13392)+P10(f77(x13391,x13392),x13394,x13393)+~P9(f77(x13391,x13392),x13394,x13393)+P9(f77(x13391,x13392),x13393,x13394)
% 53.99/54.05 [1412]~P49(x14121)+~P13(x14121,x14122,x14124)+~P13(x14121,x14122,x14123)+P13(x14121,x14122,f11(x14121,x14123,x14124))
% 53.99/54.05 [1413]~P51(x14131)+~P13(x14131,x14132,x14134)+~P13(x14131,x14132,x14133)+P13(x14131,x14132,f8(x14131,x14133,x14134))
% 53.99/54.05 [1424]~P36(x14241)+~P9(x14241,x14242,x14243)+~P9(x14241,f2(x14241),x14244)+P9(x14241,x14242,f11(x14241,x14243,x14244))
% 53.99/54.05 [1425]~P36(x14251)+~P9(x14251,x14252,x14254)+~P9(x14251,f2(x14251),x14253)+P9(x14251,x14252,f11(x14251,x14253,x14254))
% 53.99/54.05 [1426]~P54(x14261)+~P10(x14261,x14262,x14264)+~P10(x14261,f2(x14261),x14263)+P10(x14261,x14262,f11(x14261,x14263,x14264))
% 53.99/54.05 [1427]~P36(x14271)+~P9(x14271,x14272,x14274)+~P10(x14271,f2(x14271),x14273)+P10(x14271,x14272,f11(x14271,x14273,x14274))
% 53.99/54.05 [1428]~P36(x14281)+~P10(x14281,x14282,x14284)+~P9(x14281,f2(x14281),x14283)+P10(x14281,x14282,f11(x14281,x14283,x14284))
% 53.99/54.05 [1580]~P48(x15802)+E(x15801,f2(x15802))+~P9(a68,x15803,f2(a68))+~P9(a68,f27(x15802,x15801),f53(f53(f10(a68),x15803),f27(x15802,x15804)))
% 53.99/54.05 [1730]~P57(x17301)+~P10(x17301,x17302,f11(x17301,x17303,x17304))+~P10(x17301,f8(x17301,x17303,x17304),x17302)+P10(x17301,f7(x17301,f8(x17301,x17302,x17303)),x17304)
% 53.99/54.05 [1309]~P54(x13093)+E(x13091,x13092)+~P10(x13093,f3(x13093),x13094)+~E(f53(f53(f20(x13093),x13094),x13091),f53(f53(f20(x13093),x13094),x13092))
% 53.99/54.05 [1552]~P54(x15521)+~P9(a69,x15523,x15524)+~P10(x15521,f3(x15521),x15522)+P9(x15521,f53(f53(f20(x15521),x15522),x15523),f53(f53(f20(x15521),x15522),x15524))
% 53.99/54.05 [1553]~P54(x15531)+~P9(a69,x15533,x15534)+~P9(x15531,f3(x15531),x15532)+P9(x15531,f53(f53(f20(x15531),x15532),x15533),f53(f53(f20(x15531),x15532),x15534))
% 53.99/54.05 [1555]~P54(x15551)+~P10(a69,x15553,x15554)+~P10(x15551,f3(x15551),x15552)+P10(x15551,f53(f53(f20(x15551),x15552),x15553),f53(f53(f20(x15551),x15552),x15554))
% 53.99/54.05 [1561]~P72(x15611)+~P9(x15611,x15614,x15613)+~P9(x15611,x15612,f2(x15611))+P9(x15611,f53(f53(f10(x15611),x15612),x15613),f53(f53(f10(x15611),x15612),x15614))
% 53.99/54.05 [1562]~P62(x15621)+~P9(x15621,x15624,x15623)+~P10(x15621,x15622,f2(x15621))+P9(x15621,f53(f53(f10(x15621),x15622),x15623),f53(f53(f10(x15621),x15622),x15624))
% 53.99/54.05 [1563]~P72(x15631)+~P9(x15631,x15634,x15632)+~P9(x15631,x15633,f2(x15631))+P9(x15631,f53(f53(f10(x15631),x15632),x15633),f53(f53(f10(x15631),x15634),x15633))
% 53.99/54.05 [1567]~P62(x15671)+~P10(x15671,x15674,x15672)+~P10(x15671,x15673,f2(x15671))+P10(x15671,f53(f53(f10(x15671),x15672),x15673),f53(f53(f10(x15671),x15674),x15673))
% 53.99/54.05 [1568]~P62(x15681)+~P10(x15681,x15684,x15683)+~P10(x15681,x15682,f2(x15681))+P10(x15681,f53(f53(f10(x15681),x15682),x15683),f53(f53(f10(x15681),x15682),x15684))
% 53.99/54.05 [1569]~P62(x15691)+~P9(x15691,x15693,x15694)+~P10(x15691,f2(x15691),x15692)+P9(x15691,f53(f53(f10(x15691),x15692),x15693),f53(f53(f10(x15691),x15692),x15694))
% 53.99/54.05 [1570]~P75(x15701)+~P9(x15701,x15703,x15704)+~P9(x15701,f2(x15701),x15702)+P9(x15701,f53(f53(f10(x15701),x15702),x15703),f53(f53(f10(x15701),x15702),x15704))
% 53.99/54.05 [1571]~P74(x15711)+~P9(x15711,x15713,x15714)+~P9(x15711,f2(x15711),x15712)+P9(x15711,f53(f53(f10(x15711),x15712),x15713),f53(f53(f10(x15711),x15712),x15714))
% 53.99/54.05 [1572]~P75(x15721)+~P9(x15721,x15722,x15724)+~P9(x15721,f2(x15721),x15723)+P9(x15721,f53(f53(f10(x15721),x15722),x15723),f53(f53(f10(x15721),x15724),x15723))
% 53.99/54.05 [1573]~P54(x15731)+~P9(x15731,x15732,x15734)+~P9(x15731,f2(x15731),x15732)+P9(x15731,f53(f53(f20(x15731),x15732),x15733),f53(f53(f20(x15731),x15734),x15733))
% 53.99/54.05 [1575]~P58(x15751)+~P10(x15751,x15753,x15754)+~P10(x15751,f2(x15751),x15752)+P10(x15751,f53(f53(f10(x15751),x15752),x15753),f53(f53(f10(x15751),x15752),x15754))
% 53.99/54.05 [1576]~P67(x15761)+~P10(x15761,x15763,x15764)+~P10(x15761,f2(x15761),x15762)+P10(x15761,f53(f53(f10(x15761),x15762),x15763),f53(f53(f10(x15761),x15762),x15764))
% 53.99/54.05 [1577]~P62(x15771)+~P10(x15771,x15772,x15774)+~P10(x15771,f2(x15771),x15773)+P10(x15771,f53(f53(f10(x15771),x15772),x15773),f53(f53(f10(x15771),x15774),x15773))
% 53.99/54.05 [1578]~P67(x15781)+~P10(x15781,x15782,x15784)+~P10(x15781,f2(x15781),x15783)+P10(x15781,f53(f53(f10(x15781),x15782),x15783),f53(f53(f10(x15781),x15784),x15783))
% 53.99/54.05 [1579]~P62(x15791)+~P10(x15791,x15793,x15794)+~P10(x15791,f2(x15791),x15792)+P10(x15791,f53(f53(f10(x15791),x15792),x15793),f53(f53(f10(x15791),x15792),x15794))
% 53.99/54.05 [1642]P10(x16421,x16423,x16422)+~P62(x16421)+P10(x16421,x16422,x16423)+~P10(x16421,f53(f53(f10(x16421),x16424),x16422),f53(f53(f10(x16421),x16424),x16423))
% 53.99/54.05 [1643]P10(x16431,x16433,x16432)+~P62(x16431)+P10(x16431,x16432,x16433)+~P10(x16431,f53(f53(f10(x16431),x16432),x16434),f53(f53(f10(x16431),x16433),x16434))
% 53.99/54.05 [1646]~P62(x16461)+P10(x16461,x16462,x16463)+P10(x16461,x16464,f2(x16461))+~P10(x16461,f53(f53(f10(x16461),x16462),x16464),f53(f53(f10(x16461),x16463),x16464))
% 53.99/54.05 [1647]~P62(x16471)+P10(x16471,x16472,x16473)+P10(x16471,x16474,f2(x16471))+~P10(x16471,f53(f53(f10(x16471),x16474),x16472),f53(f53(f10(x16471),x16474),x16473))
% 53.99/54.05 [1648]~P62(x16481)+P10(x16481,x16482,x16483)+P10(x16481,f2(x16481),x16484)+~P10(x16481,f53(f53(f10(x16481),x16484),x16483),f53(f53(f10(x16481),x16484),x16482))
% 53.99/54.05 [1649]~P62(x16491)+P10(x16491,x16492,x16493)+P10(x16491,f2(x16491),x16494)+~P10(x16491,f53(f53(f10(x16491),x16493),x16494),f53(f53(f10(x16491),x16492),x16494))
% 53.99/54.05 [1660]~P62(x16601)+P10(x16601,f2(x16601),x16602)+P10(x16601,x16602,f2(x16601))+~P10(x16601,f53(f53(f10(x16601),x16603),x16602),f53(f53(f10(x16601),x16604),x16602))
% 53.99/54.05 [1661]~P62(x16611)+P10(x16611,f2(x16611),x16612)+P10(x16611,x16612,f2(x16611))+~P10(x16611,f53(f53(f10(x16611),x16612),x16613),f53(f53(f10(x16611),x16612),x16614))
% 53.99/54.05 [1672]~P54(x16723)+P9(a69,x16721,x16722)+~P10(x16723,f3(x16723),x16724)+~P9(x16723,f53(f53(f20(x16723),x16724),x16721),f53(f53(f20(x16723),x16724),x16722))
% 53.99/54.05 [1674]~P54(x16743)+P10(a69,x16741,x16742)+~P10(x16743,f3(x16743),x16744)+~P10(x16743,f53(f53(f20(x16743),x16744),x16741),f53(f53(f20(x16743),x16744),x16742))
% 53.99/54.05 [1675]~P62(x16751)+P9(x16751,x16752,x16753)+~P10(x16751,x16754,f2(x16751))+~P9(x16751,f53(f53(f10(x16751),x16754),x16753),f53(f53(f10(x16751),x16754),x16752))
% 53.99/54.05 [1676]~P62(x16761)+P10(x16761,x16762,x16763)+~P10(x16761,x16764,f2(x16761))+~P10(x16761,f53(f53(f10(x16761),x16764),x16763),f53(f53(f10(x16761),x16764),x16762))
% 53.99/54.05 [1677]~P62(x16771)+P9(x16771,x16772,x16773)+~P10(x16771,f2(x16771),x16774)+~P9(x16771,f53(f53(f10(x16771),x16774),x16772),f53(f53(f10(x16771),x16774),x16773))
% 53.99/54.05 [1678]~P67(x16781)+P9(x16781,x16782,x16783)+~P10(x16781,f2(x16781),x16784)+~P9(x16781,f53(f53(f10(x16781),x16784),x16782),f53(f53(f10(x16781),x16784),x16783))
% 53.99/54.05 [1679]~P67(x16791)+P9(x16791,x16792,x16793)+~P10(x16791,f2(x16791),x16794)+~P9(x16791,f53(f53(f10(x16791),x16792),x16794),f53(f53(f10(x16791),x16793),x16794))
% 53.99/54.05 [1680]~P62(x16801)+P10(x16801,x16802,x16803)+~P10(x16801,f2(x16801),x16804)+~P10(x16801,f53(f53(f10(x16801),x16804),x16802),f53(f53(f10(x16801),x16804),x16803))
% 53.99/54.05 [1681]~P67(x16811)+P10(x16811,x16812,x16813)+~P9(x16811,f2(x16811),x16814)+~P10(x16811,f53(f53(f10(x16811),x16814),x16812),f53(f53(f10(x16811),x16814),x16813))
% 53.99/54.05 [1682]~P66(x16821)+P10(x16821,x16822,x16823)+~P9(x16821,f2(x16821),x16824)+~P10(x16821,f53(f53(f10(x16821),x16824),x16822),f53(f53(f10(x16821),x16824),x16823))
% 53.99/54.05 [1683]~P54(x16831)+P10(x16831,x16832,x16833)+~P9(x16831,f2(x16831),x16833)+~P10(x16831,f53(f53(f20(x16831),x16832),x16834),f53(f53(f20(x16831),x16833),x16834))
% 53.99/54.05 [1684]~P67(x16841)+P10(x16841,x16842,x16843)+~P9(x16841,f2(x16841),x16844)+~P10(x16841,f53(f53(f10(x16841),x16842),x16844),f53(f53(f10(x16841),x16843),x16844))
% 53.99/54.05 [1685]~P66(x16851)+P10(x16851,x16852,x16853)+~P9(x16851,f2(x16851),x16854)+~P10(x16851,f53(f53(f10(x16851),x16852),x16854),f53(f53(f10(x16851),x16853),x16854))
% 53.99/54.05 [1734]~P10(a68,f2(a68),x17344)+~P10(a68,f2(a68),x17342)+P10(a68,f53(f53(f10(a68),x17341),f25(a68,x17342)),f53(f53(f10(a68),x17343),f25(a68,x17344)))+~P10(a68,f53(f53(f10(a68),x17344),x17341),f53(f53(f10(a68),x17342),x17343))
% 53.99/54.05 [1743]~P10(a68,f2(a68),x17433)+~P10(a68,f2(a68),x17431)+~P10(a68,f53(f53(f10(a68),x17433),x17432),f53(f53(f10(a68),x17431),x17434))+P10(a68,f53(f53(f10(a68),f25(a68,x17431)),x17432),f53(f53(f10(a68),f25(a68,x17433)),x17434))
% 53.99/54.05 [1696]~P78(x16963)+~P60(x16963)+P82(f53(x16961,f61(x16962,x16961,x16963)))+~P82(f53(x16961,f53(f53(f10(x16963),x16962),x16964)))
% 53.99/54.05 [1727]~P78(x17271)+~P60(x17271)+P13(x17271,x17272,f11(x17271,f61(x17272,x17273,x17271),f2(x17271)))+~P82(f53(x17273,f53(f53(f10(x17271),x17272),x17274)))
% 53.99/54.05 [1776]~P10(a68,f2(a68),x17764)+~P10(a68,f27(a1,f8(a1,x17762,x17763)),f59(x17761,x17763,x17764))+~P10(a68,f2(a68),f27(a1,f8(a1,x17762,x17763)))+P10(a68,f27(a1,f8(a1,f53(f14(a1,x17761),x17762),f53(f14(a1,x17761),x17763))),x17764)
% 53.99/54.05 [1124]~P16(x11245)+E(x11241,x11242)+~E(x11243,x11244)+~E(f8(x11245,x11243,x11244),f8(x11245,x11241,x11242))
% 53.99/54.05 [1373]~P32(x13731)+~P9(x13731,x13734,x13735)+P9(x13731,x13732,x13733)+~E(f8(x13731,x13734,x13735),f8(x13731,x13732,x13733))
% 53.99/54.05 [1375]~P32(x13751)+~P10(x13751,x13754,x13755)+P10(x13751,x13752,x13753)+~E(f8(x13751,x13754,x13755),f8(x13751,x13752,x13753))
% 53.99/54.05 [1556]~P34(x15561)+~P9(x15561,x15563,x15565)+~P9(x15561,x15562,x15564)+P9(x15561,f11(x15561,x15562,x15563),f11(x15561,x15564,x15565))
% 53.99/54.05 [1557]~P35(x15571)+~P9(x15571,x15573,x15575)+~P10(x15571,x15572,x15574)+P10(x15571,f11(x15571,x15572,x15573),f11(x15571,x15574,x15575))
% 53.99/54.05 [1558]~P35(x15581)+~P9(x15581,x15582,x15584)+~P10(x15581,x15583,x15585)+P10(x15581,f11(x15581,x15582,x15583),f11(x15581,x15584,x15585))
% 53.99/54.05 [1559]~P35(x15591)+~P10(x15591,x15593,x15595)+~P10(x15591,x15592,x15594)+P10(x15591,f11(x15591,x15592,x15593),f11(x15591,x15594,x15595))
% 53.99/54.05 [1710]~P48(x17101)+~P10(a68,f27(x17101,x17103),x17105)+~P10(a68,f27(x17101,x17102),x17104)+P10(a68,f27(x17101,f11(x17101,x17102,x17103)),f11(a68,x17104,x17105))
% 53.99/54.05 [1716]~P57(x17161)+~P10(x17161,f7(x17161,x17162),x17164)+~P10(x17161,f7(x17161,x17163),x17165)+P10(x17161,f53(f53(f10(x17161),f7(x17161,x17162)),f7(x17161,x17163)),f53(f53(f10(x17161),x17164),x17165))
% 53.99/54.05 [1697]~P2(x16971)+~P10(a68,f27(x16971,x16973),x16975)+~P10(a68,f27(x16971,x16972),x16974)+P10(a68,f27(x16971,f53(f53(f10(x16971),x16972),x16973)),f53(f53(f10(a68),x16974),x16975))
% 53.99/54.05 [1732]~P81(x17325)+E(x17321,x17322)+E(x17323,x17324)+~E(f11(x17325,f53(f53(f10(x17325),x17323),x17321),f53(f53(f10(x17325),x17324),x17322)),f11(x17325,f53(f53(f10(x17325),x17323),x17322),f53(f53(f10(x17325),x17324),x17321)))
% 53.99/54.05 [1759]~E(f27(a1,x17591),f3(a68))+P10(a68,f27(a1,f8(a1,x17591,a5)),f3(a68))+P10(a68,f27(a1,f11(a1,x17591,a5)),f3(a68))+P10(a68,f27(a1,f11(a1,x17591,f3(a1))),f3(a68))+P10(a68,f27(a1,f8(a1,x17591,f3(a1))),f3(a68))
% 53.99/54.05 [764]~P56(x7643)+E(x7641,x7642)+~E(f25(x7643,x7641),f25(x7643,x7642))+E(x7642,f2(x7643))+E(x7641,f2(x7643))
% 53.99/54.05 [1344]~P36(x13442)+~P9(x13442,f2(x13442),x13443)+~P9(x13442,f2(x13442),x13441)+~E(f11(x13442,x13443,x13441),f2(x13442))+E(x13441,f2(x13442))
% 53.99/54.05 [1345]~P36(x13452)+~P9(x13452,f2(x13452),x13453)+~P9(x13452,f2(x13452),x13451)+~E(f11(x13452,x13451,x13453),f2(x13452))+E(x13451,f2(x13452))
% 53.99/54.05 [1581]~P57(x15811)+~P9(x15811,x15812,f3(x15811))+~P9(x15811,f2(x15811),x15812)+~P9(x15811,f2(x15811),x15813)+P9(x15811,f53(f53(f10(x15811),x15812),x15813),x15813)
% 53.99/54.05 [1582]~P57(x15821)+~P9(x15821,x15823,f3(x15821))+~P9(x15821,f2(x15821),x15823)+~P9(x15821,f2(x15821),x15822)+P9(x15821,f53(f53(f10(x15821),x15822),x15823),x15822)
% 53.99/54.05 [1662]~P54(x16621)+~P10(x16621,x16622,x16624)+~P9(x16621,f2(x16621),x16622)+~P10(a69,f2(a69),x16623)+P10(x16621,f53(f53(f20(x16621),x16622),x16623),f53(f53(f20(x16621),x16624),x16623))
% 53.99/54.05 [1663]~P54(x16631)+~P9(a69,x16634,x16633)+~P9(x16631,x16632,f3(x16631))+~P9(x16631,f2(x16631),x16632)+P9(x16631,f53(f53(f20(x16631),x16632),x16633),f53(f53(f20(x16631),x16632),x16634))
% 53.99/54.05 [1664]~P54(x16641)+~P10(a69,x16644,x16643)+~P10(x16641,x16642,f3(x16641))+~P10(x16641,f2(x16641),x16642)+P10(x16641,f53(f53(f20(x16641),x16642),x16643),f53(f53(f20(x16641),x16642),x16644))
% 53.99/54.05 [1744]~P78(x17442)+~P60(x17442)+~P13(x17442,x17443,f11(x17442,x17444,f2(x17442)))+~P82(f53(x17441,x17444))+P82(f53(x17441,f53(f53(f10(x17442),x17443),f62(x17443,x17441,x17442))))
% 53.99/54.05 [1749]~P48(x17494)+~P44(x17491)+~P9(x17491,x17492,x17495)+P9(x17491,x17492,f50(x17493,x17492,x17491,x17494))+P10(a68,f27(x17494,f53(x17493,x17495)),f11(a68,f3(a68),f27(x17494,f53(x17493,x17492))))
% 53.99/54.05 [1764]P9(a70,x17641,x17642)+~P10(a70,x17643,x17644)+~P10(a70,x17643,x17645)+~P9(a70,x17644,f2(a70))+~P9(a70,f11(a70,f53(f53(f10(a70),x17643),x17642),x17645),f11(a70,f53(f53(f10(a70),x17643),x17641),x17644))
% 53.99/54.05 [1765]P9(a70,x17651,x17652)+~P10(a70,x17653,x17654)+~P10(a70,x17655,x17654)+~P9(a70,f2(a70),x17655)+~P9(a70,f11(a70,f53(f53(f10(a70),x17654),x17651),x17655),f11(a70,f53(f53(f10(a70),x17654),x17652),x17653))
% 53.99/54.05 [1805]~P48(x18051)+~P9(x18055,x18054,x18053)+~P44(x18055)+P10(a68,f27(x18051,f53(x18052,x18053)),f11(a68,f3(a68),f27(x18051,f53(x18052,x18054))))+~P10(a68,f27(x18051,f8(x18051,f53(x18052,x18054),f53(x18052,f50(x18052,x18054,x18055,x18051)))),f3(a68))
% 53.99/54.05 [1632]~P81(x16324)+E(x16321,x16322)+~E(x16325,x16326)+E(x16323,f2(x16324))+~E(f11(x16324,x16325,f53(f53(f10(x16324),x16323),x16321)),f11(x16324,x16326,f53(f53(f10(x16324),x16323),x16322)))
% 53.99/54.05 [1756]~P52(x17561)+~P60(x17561)+~P13(x17561,x17562,x17565)+~P13(x17561,x17562,f11(x17561,x17563,x17566))+P13(x17561,x17562,f11(x17561,f8(x17561,x17563,f53(f53(f10(x17561),x17564),x17565)),x17566))
% 53.99/54.05 [1771]~P52(x17711)+~P60(x17711)+~P13(x17711,x17712,x17715)+P13(x17711,x17712,f11(x17711,x17713,x17714))+~P13(x17711,x17712,f11(x17711,f8(x17711,x17713,f53(f53(f10(x17711),x17716),x17715)),x17714))
% 53.99/54.05 [1319]~P36(x13191)+~P9(x13191,f2(x13191),x13193)+~P9(x13191,f2(x13191),x13192)+~E(x13193,f2(x13191))+~E(x13192,f2(x13191))+E(f11(x13191,x13192,x13193),f2(x13191))
% 53.99/54.05 [975]~P28(x9752)+~P63(x9752)+~P68(x9752)+~P69(x9752)+E(x9751,f2(x9752))+~E(f53(f53(f20(x9752),x9751),x9753),f2(x9752))
% 53.99/54.05 [976]~P28(x9762)+~P63(x9762)+~P68(x9762)+~P69(x9762)+~E(x9761,f2(a69))+~E(f53(f53(f20(x9762),x9763),x9761),f2(x9762))
% 53.99/54.05 [1588]~P54(x15883)+E(x15881,x15882)+~P9(x15883,f2(x15883),x15882)+~P9(x15883,f2(x15883),x15881)+~P10(a69,f2(a69),x15884)+~E(f53(f53(f20(x15883),x15881),x15884),f53(f53(f20(x15883),x15882),x15884))
% 53.99/54.05 [1698]~P75(x16981)+~P9(x16981,x16983,x16985)+~P9(x16981,x16982,x16984)+~P9(x16981,f2(x16981),x16983)+~P9(x16981,f2(x16981),x16984)+P9(x16981,f53(f53(f10(x16981),x16982),x16983),f53(f53(f10(x16981),x16984),x16985))
% 53.99/54.05 [1699]~P75(x16991)+~P9(x16991,x16993,x16995)+~P9(x16991,x16992,x16994)+~P9(x16991,f2(x16991),x16993)+~P9(x16991,f2(x16991),x16992)+P9(x16991,f53(f53(f10(x16991),x16992),x16993),f53(f53(f10(x16991),x16994),x16995))
% 53.99/54.05 [1700]~P67(x17001)+~P9(x17001,x17003,x17005)+~P10(x17001,x17002,x17004)+~P9(x17001,f2(x17001),x17002)+~P10(x17001,f2(x17001),x17003)+P10(x17001,f53(f53(f10(x17001),x17002),x17003),f53(f53(f10(x17001),x17004),x17005))
% 53.99/54.05 [1701]~P67(x17011)+~P9(x17011,x17012,x17014)+~P10(x17011,x17013,x17015)+~P9(x17011,f2(x17011),x17013)+~P10(x17011,f2(x17011),x17012)+P10(x17011,f53(f53(f10(x17011),x17012),x17013),f53(f53(f10(x17011),x17014),x17015))
% 53.99/54.05 [1702]~P67(x17021)+~P10(x17021,x17023,x17025)+~P10(x17021,x17022,x17024)+~P9(x17021,f2(x17021),x17023)+~P9(x17021,f2(x17021),x17022)+P10(x17021,f53(f53(f10(x17021),x17022),x17023),f53(f53(f10(x17021),x17024),x17025))
% 53.99/54.05 [1703]~P67(x17031)+~P10(x17031,x17033,x17035)+~P10(x17031,x17032,x17034)+~P9(x17031,f2(x17031),x17033)+~P10(x17031,f2(x17031),x17034)+P10(x17031,f53(f53(f10(x17031),x17032),x17033),f53(f53(f10(x17031),x17034),x17035))
% 53.99/54.05 [901]~P28(x9012)+~P63(x9012)+~P68(x9012)+~P69(x9012)+~E(x9013,f2(x9012))+E(x9011,f2(a69))+E(f53(f53(f20(x9012),x9013),x9011),f2(x9012))
% 53.99/54.05 [1745]~P65(x17451)+~P9(x17451,x17455,x17456)+~P9(x17451,x17453,x17456)+~P9(x17451,f2(x17451),x17454)+~P9(x17451,f2(x17451),x17452)+~E(f11(x17451,x17452,x17454),f3(x17451))+P9(x17451,f11(x17451,f53(f53(f10(x17451),x17452),x17453),f53(f53(f10(x17451),x17454),x17455)),x17456)
% 53.99/54.05 [1746]~P64(x17461)+~P10(x17461,x17465,x17466)+~P10(x17461,x17463,x17466)+~P9(x17461,f2(x17461),x17464)+~P9(x17461,f2(x17461),x17462)+~E(f11(x17461,x17462,x17464),f3(x17461))+P10(x17461,f11(x17461,f53(f53(f10(x17461),x17462),x17463),f53(f53(f10(x17461),x17464),x17465)),x17466)
% 53.99/54.05 [1768]~P9(a70,x17685,x17683)+~P10(a70,x17686,x17685)+P9(a70,x17681,x17682)+~P9(a70,f2(a70),x17684)+~P10(a70,f2(a70),x17685)+~P9(a70,f2(a70),f11(a70,f53(f53(f10(a70),x17685),x17682),x17686))+~E(f11(a70,f53(f53(f10(a70),x17683),x17681),x17684),f11(a70,f53(f53(f10(a70),x17685),x17682),x17686))
% 53.99/54.05 [1769]~P9(a70,x17695,x17693)+~P10(a70,x17694,x17693)+P9(a70,x17691,x17692)+~P9(a70,f2(a70),x17696)+~P10(a70,f2(a70),x17695)+~P10(a70,f11(a70,f53(f53(f10(a70),x17695),x17691),x17696),f2(a70))+~E(f11(a70,f53(f53(f10(a70),x17693),x17692),x17694),f11(a70,f53(f53(f10(a70),x17695),x17691),x17696))
% 53.99/54.05 %EqnAxiom
% 53.99/54.05 [1]E(x11,x11)
% 53.99/54.05 [2]E(x22,x21)+~E(x21,x22)
% 53.99/54.05 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 53.99/54.05 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 53.99/54.05 [5]~E(x51,x52)+E(f13(x51),f13(x52))
% 53.99/54.05 [6]~E(x61,x62)+E(f3(x61),f3(x62))
% 53.99/54.05 [7]~E(x71,x72)+E(f53(x71,x73),f53(x72,x73))
% 53.99/54.05 [8]~E(x81,x82)+E(f53(x83,x81),f53(x83,x82))
% 53.99/54.05 [9]~E(x91,x92)+E(f10(x91),f10(x92))
% 53.99/54.05 [10]~E(x101,x102)+E(f19(x101,x103,x104),f19(x102,x103,x104))
% 53.99/54.05 [11]~E(x111,x112)+E(f19(x113,x111,x114),f19(x113,x112,x114))
% 53.99/54.05 [12]~E(x121,x122)+E(f19(x123,x124,x121),f19(x123,x124,x122))
% 53.99/54.05 [13]~E(x131,x132)+E(f27(x131,x133),f27(x132,x133))
% 53.99/54.05 [14]~E(x141,x142)+E(f27(x143,x141),f27(x143,x142))
% 53.99/54.05 [15]~E(x151,x152)+E(f24(x151),f24(x152))
% 53.99/54.05 [16]~E(x161,x162)+E(f8(x161,x163,x164),f8(x162,x163,x164))
% 53.99/54.05 [17]~E(x171,x172)+E(f8(x173,x171,x174),f8(x173,x172,x174))
% 53.99/54.05 [18]~E(x181,x182)+E(f8(x183,x184,x181),f8(x183,x184,x182))
% 53.99/54.05 [19]~E(x191,x192)+E(f11(x191,x193,x194),f11(x192,x193,x194))
% 53.99/54.05 [20]~E(x201,x202)+E(f11(x203,x201,x204),f11(x203,x202,x204))
% 53.99/54.05 [21]~E(x211,x212)+E(f11(x213,x214,x211),f11(x213,x214,x212))
% 53.99/54.05 [22]~E(x221,x222)+E(f9(x221,x223),f9(x222,x223))
% 53.99/54.05 [23]~E(x231,x232)+E(f9(x233,x231),f9(x233,x232))
% 53.99/54.05 [24]~E(x241,x242)+E(f72(x241),f72(x242))
% 53.99/54.05 [25]~E(x251,x252)+E(f26(x251,x253),f26(x252,x253))
% 53.99/54.05 [26]~E(x261,x262)+E(f26(x263,x261),f26(x263,x262))
% 53.99/54.05 [27]~E(x271,x272)+E(f25(x271,x273),f25(x272,x273))
% 53.99/54.05 [28]~E(x281,x282)+E(f25(x283,x281),f25(x283,x282))
% 53.99/54.05 [29]~E(x291,x292)+E(f50(x291,x293,x294,x295),f50(x292,x293,x294,x295))
% 53.99/54.05 [30]~E(x301,x302)+E(f50(x303,x301,x304,x305),f50(x303,x302,x304,x305))
% 53.99/54.05 [31]~E(x311,x312)+E(f50(x313,x314,x311,x315),f50(x313,x314,x312,x315))
% 53.99/54.05 [32]~E(x321,x322)+E(f50(x323,x324,x325,x321),f50(x323,x324,x325,x322))
% 53.99/54.05 [33]~E(x331,x332)+E(f22(x331,x333,x334),f22(x332,x333,x334))
% 53.99/54.05 [34]~E(x341,x342)+E(f22(x343,x341,x344),f22(x343,x342,x344))
% 53.99/54.05 [35]~E(x351,x352)+E(f22(x353,x354,x351),f22(x353,x354,x352))
% 53.99/54.05 [36]~E(x361,x362)+E(f28(x361,x363),f28(x362,x363))
% 53.99/54.05 [37]~E(x371,x372)+E(f28(x373,x371),f28(x373,x372))
% 53.99/54.05 [38]~E(x381,x382)+E(f12(x381,x383),f12(x382,x383))
% 53.99/54.05 [39]~E(x391,x392)+E(f12(x393,x391),f12(x393,x392))
% 53.99/54.05 [40]~E(x401,x402)+E(f18(x401,x403,x404),f18(x402,x403,x404))
% 53.99/54.05 [41]~E(x411,x412)+E(f18(x413,x411,x414),f18(x413,x412,x414))
% 53.99/54.05 [42]~E(x421,x422)+E(f18(x423,x424,x421),f18(x423,x424,x422))
% 53.99/54.05 [43]~E(x431,x432)+E(f17(x431,x433,x434),f17(x432,x433,x434))
% 53.99/54.05 [44]~E(x441,x442)+E(f17(x443,x441,x444),f17(x443,x442,x444))
% 53.99/54.05 [45]~E(x451,x452)+E(f17(x453,x454,x451),f17(x453,x454,x452))
% 53.99/54.05 [46]~E(x461,x462)+E(f7(x461,x463),f7(x462,x463))
% 53.99/54.05 [47]~E(x471,x472)+E(f7(x473,x471),f7(x473,x472))
% 53.99/54.05 [48]~E(x481,x482)+E(f14(x481,x483),f14(x482,x483))
% 53.99/54.05 [49]~E(x491,x492)+E(f14(x493,x491),f14(x493,x492))
% 53.99/54.05 [50]~E(x501,x502)+E(f20(x501),f20(x502))
% 53.99/54.05 [51]~E(x511,x512)+E(f77(x511,x513),f77(x512,x513))
% 53.99/54.05 [52]~E(x521,x522)+E(f77(x523,x521),f77(x523,x522))
% 53.99/54.05 [53]~E(x531,x532)+E(f4(x531,x533),f4(x532,x533))
% 53.99/54.05 [54]~E(x541,x542)+E(f4(x543,x541),f4(x543,x542))
% 53.99/54.05 [55]~E(x551,x552)+E(f55(x551),f55(x552))
% 53.99/54.05 [56]~E(x561,x562)+E(f15(x561,x563,x564),f15(x562,x563,x564))
% 53.99/54.05 [57]~E(x571,x572)+E(f15(x573,x571,x574),f15(x573,x572,x574))
% 53.99/54.05 [58]~E(x581,x582)+E(f15(x583,x584,x581),f15(x583,x584,x582))
% 53.99/54.05 [59]~E(x591,x592)+E(f57(x591),f57(x592))
% 53.99/54.05 [60]~E(x601,x602)+E(f59(x601,x603,x604),f59(x602,x603,x604))
% 53.99/54.05 [61]~E(x611,x612)+E(f59(x613,x611,x614),f59(x613,x612,x614))
% 53.99/54.05 [62]~E(x621,x622)+E(f59(x623,x624,x621),f59(x623,x624,x622))
% 53.99/54.05 [63]~E(x631,x632)+E(f58(x631,x633),f58(x632,x633))
% 53.99/54.05 [64]~E(x641,x642)+E(f58(x643,x641),f58(x643,x642))
% 53.99/54.05 [65]~E(x651,x652)+E(f39(x651),f39(x652))
% 53.99/54.05 [66]~E(x661,x662)+E(f48(x661),f48(x662))
% 53.99/54.05 [67]~E(x671,x672)+E(f41(x671,x673),f41(x672,x673))
% 53.99/54.05 [68]~E(x681,x682)+E(f41(x683,x681),f41(x683,x682))
% 53.99/54.05 [69]~E(x691,x692)+E(f16(x691,x693),f16(x692,x693))
% 53.99/54.05 [70]~E(x701,x702)+E(f16(x703,x701),f16(x703,x702))
% 53.99/54.05 [71]~E(x711,x712)+E(f23(x711,x713,x714),f23(x712,x713,x714))
% 53.99/54.05 [72]~E(x721,x722)+E(f23(x723,x721,x724),f23(x723,x722,x724))
% 53.99/54.05 [73]~E(x731,x732)+E(f23(x733,x734,x731),f23(x733,x734,x732))
% 53.99/54.05 [74]~E(x741,x742)+E(f6(x741,x743,x744),f6(x742,x743,x744))
% 53.99/54.05 [75]~E(x751,x752)+E(f6(x753,x751,x754),f6(x753,x752,x754))
% 53.99/54.05 [76]~E(x761,x762)+E(f6(x763,x764,x761),f6(x763,x764,x762))
% 53.99/54.05 [77]~E(x771,x772)+E(f56(x771,x773),f56(x772,x773))
% 53.99/54.05 [78]~E(x781,x782)+E(f56(x783,x781),f56(x783,x782))
% 53.99/54.05 [79]~E(x791,x792)+E(f66(x791,x793,x794),f66(x792,x793,x794))
% 53.99/54.05 [80]~E(x801,x802)+E(f66(x803,x801,x804),f66(x803,x802,x804))
% 53.99/54.05 [81]~E(x811,x812)+E(f66(x813,x814,x811),f66(x813,x814,x812))
% 53.99/54.05 [82]~E(x821,x822)+E(f49(x821,x823),f49(x822,x823))
% 53.99/54.05 [83]~E(x831,x832)+E(f49(x833,x831),f49(x833,x832))
% 53.99/54.05 [84]~E(x841,x842)+E(f51(x841,x843),f51(x842,x843))
% 53.99/54.05 [85]~E(x851,x852)+E(f51(x853,x851),f51(x853,x852))
% 53.99/54.05 [86]~E(x861,x862)+E(f67(x861,x863,x864),f67(x862,x863,x864))
% 53.99/54.05 [87]~E(x871,x872)+E(f67(x873,x871,x874),f67(x873,x872,x874))
% 53.99/54.05 [88]~E(x881,x882)+E(f67(x883,x884,x881),f67(x883,x884,x882))
% 53.99/54.05 [89]~E(x891,x892)+E(f31(x891),f31(x892))
% 53.99/54.05 [90]~E(x901,x902)+E(f45(x901,x903,x904,x905),f45(x902,x903,x904,x905))
% 53.99/54.05 [91]~E(x911,x912)+E(f45(x913,x911,x914,x915),f45(x913,x912,x914,x915))
% 53.99/54.05 [92]~E(x921,x922)+E(f45(x923,x924,x921,x925),f45(x923,x924,x922,x925))
% 53.99/54.05 [93]~E(x931,x932)+E(f45(x933,x934,x935,x931),f45(x933,x934,x935,x932))
% 53.99/54.05 [94]~E(x941,x942)+E(f42(x941,x943),f42(x942,x943))
% 53.99/54.05 [95]~E(x951,x952)+E(f42(x953,x951),f42(x953,x952))
% 53.99/54.05 [96]~E(x961,x962)+E(f61(x961,x963,x964),f61(x962,x963,x964))
% 53.99/54.05 [97]~E(x971,x972)+E(f61(x973,x971,x974),f61(x973,x972,x974))
% 53.99/54.05 [98]~E(x981,x982)+E(f61(x983,x984,x981),f61(x983,x984,x982))
% 53.99/54.05 [99]~E(x991,x992)+E(f47(x991),f47(x992))
% 53.99/54.05 [100]~E(x1001,x1002)+E(f30(x1001,x1003),f30(x1002,x1003))
% 53.99/54.05 [101]~E(x1011,x1012)+E(f30(x1013,x1011),f30(x1013,x1012))
% 53.99/54.05 [102]~E(x1021,x1022)+E(f21(x1021,x1023,x1024),f21(x1022,x1023,x1024))
% 53.99/54.05 [103]~E(x1031,x1032)+E(f21(x1033,x1031,x1034),f21(x1033,x1032,x1034))
% 53.99/54.05 [104]~E(x1041,x1042)+E(f21(x1043,x1044,x1041),f21(x1043,x1044,x1042))
% 53.99/54.05 [105]~E(x1051,x1052)+E(f40(x1051),f40(x1052))
% 53.99/54.05 [106]~E(x1061,x1062)+E(f63(x1061,x1063),f63(x1062,x1063))
% 53.99/54.05 [107]~E(x1071,x1072)+E(f63(x1073,x1071),f63(x1073,x1072))
% 53.99/54.05 [108]~E(x1081,x1082)+E(f52(x1081),f52(x1082))
% 53.99/54.05 [109]~E(x1091,x1092)+E(f60(x1091),f60(x1092))
% 53.99/54.05 [110]~E(x1101,x1102)+E(f62(x1101,x1103,x1104),f62(x1102,x1103,x1104))
% 53.99/54.05 [111]~E(x1111,x1112)+E(f62(x1113,x1111,x1114),f62(x1113,x1112,x1114))
% 53.99/54.05 [112]~E(x1121,x1122)+E(f62(x1123,x1124,x1121),f62(x1123,x1124,x1122))
% 53.99/54.05 [113]~P1(x1131)+P1(x1132)+~E(x1131,x1132)
% 53.99/54.05 [114]P10(x1142,x1143,x1144)+~E(x1141,x1142)+~P10(x1141,x1143,x1144)
% 53.99/54.05 [115]P10(x1153,x1152,x1154)+~E(x1151,x1152)+~P10(x1153,x1151,x1154)
% 53.99/54.05 [116]P10(x1163,x1164,x1162)+~E(x1161,x1162)+~P10(x1163,x1164,x1161)
% 53.99/54.05 [117]~P2(x1171)+P2(x1172)+~E(x1171,x1172)
% 53.99/54.05 [118]~P53(x1181)+P53(x1182)+~E(x1181,x1182)
% 53.99/54.05 [119]~P3(x1191)+P3(x1192)+~E(x1191,x1192)
% 53.99/54.05 [120]P9(x1202,x1203,x1204)+~E(x1201,x1202)+~P9(x1201,x1203,x1204)
% 53.99/54.05 [121]P9(x1213,x1212,x1214)+~E(x1211,x1212)+~P9(x1213,x1211,x1214)
% 53.99/54.05 [122]P9(x1223,x1224,x1222)+~E(x1221,x1222)+~P9(x1223,x1224,x1221)
% 53.99/54.05 [123]~P47(x1231)+P47(x1232)+~E(x1231,x1232)
% 53.99/54.05 [124]~P32(x1241)+P32(x1242)+~E(x1241,x1242)
% 53.99/54.05 [125]~P48(x1251)+P48(x1252)+~E(x1251,x1252)
% 53.99/54.05 [126]~P26(x1261)+P26(x1262)+~E(x1261,x1262)
% 53.99/54.05 [127]~P4(x1271)+P4(x1272)+~E(x1271,x1272)
% 53.99/54.05 [128]~P71(x1281)+P71(x1282)+~E(x1281,x1282)
% 53.99/54.05 [129]P13(x1292,x1293,x1294)+~E(x1291,x1292)+~P13(x1291,x1293,x1294)
% 53.99/54.05 [130]P13(x1303,x1302,x1304)+~E(x1301,x1302)+~P13(x1303,x1301,x1304)
% 53.99/54.05 [131]P13(x1313,x1314,x1312)+~E(x1311,x1312)+~P13(x1313,x1314,x1311)
% 53.99/54.05 [132]~P51(x1321)+P51(x1322)+~E(x1321,x1322)
% 53.99/54.05 [133]~P49(x1331)+P49(x1332)+~E(x1331,x1332)
% 53.99/54.05 [134]~P41(x1341)+P41(x1342)+~E(x1341,x1342)
% 53.99/54.05 [135]~P54(x1351)+P54(x1352)+~E(x1351,x1352)
% 53.99/54.05 [136]~P30(x1361)+P30(x1362)+~E(x1361,x1362)
% 53.99/54.05 [137]~P62(x1371)+P62(x1372)+~E(x1371,x1372)
% 53.99/54.05 [138]~P45(x1381)+P45(x1382)+~E(x1381,x1382)
% 53.99/54.05 [139]~P42(x1391)+P42(x1392)+~E(x1391,x1392)
% 53.99/54.05 [140]~P46(x1401)+P46(x1402)+~E(x1401,x1402)
% 53.99/54.05 [141]~P60(x1411)+P60(x1412)+~E(x1411,x1412)
% 53.99/54.05 [142]~P55(x1421)+P55(x1422)+~E(x1421,x1422)
% 53.99/54.05 [143]P11(x1432,x1433,x1434)+~E(x1431,x1432)+~P11(x1431,x1433,x1434)
% 53.99/54.05 [144]P11(x1443,x1442,x1444)+~E(x1441,x1442)+~P11(x1443,x1441,x1444)
% 53.99/54.05 [145]P11(x1453,x1454,x1452)+~E(x1451,x1452)+~P11(x1453,x1454,x1451)
% 53.99/54.05 [146]~P28(x1461)+P28(x1462)+~E(x1461,x1462)
% 53.99/54.05 [147]~P36(x1471)+P36(x1472)+~E(x1471,x1472)
% 53.99/54.05 [148]~P18(x1481)+P18(x1482)+~E(x1481,x1482)
% 53.99/54.05 [149]~P33(x1491)+P33(x1492)+~E(x1491,x1492)
% 53.99/54.05 [150]~P63(x1501)+P63(x1502)+~E(x1501,x1502)
% 53.99/54.05 [151]~P17(x1511)+P17(x1512)+~E(x1511,x1512)
% 53.99/54.05 [152]~P67(x1521)+P67(x1522)+~E(x1521,x1522)
% 53.99/54.05 [153]~P16(x1531)+P16(x1532)+~E(x1531,x1532)
% 53.99/54.05 [154]~P68(x1541)+P68(x1542)+~E(x1541,x1542)
% 53.99/54.05 [155]~P59(x1551)+P59(x1552)+~E(x1551,x1552)
% 53.99/54.05 [156]~P6(x1561)+P6(x1562)+~E(x1561,x1562)
% 53.99/54.05 [157]~P24(x1571)+P24(x1572)+~E(x1571,x1572)
% 53.99/54.05 [158]~P69(x1581)+P69(x1582)+~E(x1581,x1582)
% 53.99/54.05 [159]~P81(x1591)+P81(x1592)+~E(x1591,x1592)
% 53.99/54.05 [160]~P57(x1601)+P57(x1602)+~E(x1601,x1602)
% 53.99/54.05 [161]~P21(x1611)+P21(x1612)+~E(x1611,x1612)
% 53.99/54.05 [162]~P56(x1621)+P56(x1622)+~E(x1621,x1622)
% 53.99/54.05 [163]~P44(x1631)+P44(x1632)+~E(x1631,x1632)
% 53.99/54.05 [164]~P15(x1641)+P15(x1642)+~E(x1641,x1642)
% 53.99/54.05 [165]~P38(x1651)+P38(x1652)+~E(x1651,x1652)
% 53.99/54.05 [166]~P25(x1661)+P25(x1662)+~E(x1661,x1662)
% 53.99/54.05 [167]~P29(x1671)+P29(x1672)+~E(x1671,x1672)
% 53.99/54.05 [168]~P70(x1681)+P70(x1682)+~E(x1681,x1682)
% 53.99/54.05 [169]~P76(x1691)+P76(x1692)+~E(x1691,x1692)
% 53.99/54.05 [170]~P82(x1701)+P82(x1702)+~E(x1701,x1702)
% 53.99/54.05 [171]~P78(x1711)+P78(x1712)+~E(x1711,x1712)
% 53.99/54.05 [172]P12(x1722,x1723)+~E(x1721,x1722)+~P12(x1721,x1723)
% 53.99/54.05 [173]P12(x1733,x1732)+~E(x1731,x1732)+~P12(x1733,x1731)
% 53.99/54.05 [174]~P52(x1741)+P52(x1742)+~E(x1741,x1742)
% 53.99/54.05 [175]~P23(x1751)+P23(x1752)+~E(x1751,x1752)
% 53.99/54.05 [176]~P5(x1761)+P5(x1762)+~E(x1761,x1762)
% 53.99/54.05 [177]~P75(x1771)+P75(x1772)+~E(x1771,x1772)
% 53.99/54.05 [178]~P73(x1781)+P73(x1782)+~E(x1781,x1782)
% 53.99/54.05 [179]~P72(x1791)+P72(x1792)+~E(x1791,x1792)
% 53.99/54.05 [180]~P64(x1801)+P64(x1802)+~E(x1801,x1802)
% 53.99/54.05 [181]~P20(x1811)+P20(x1812)+~E(x1811,x1812)
% 53.99/54.05 [182]~P31(x1821)+P31(x1822)+~E(x1821,x1822)
% 53.99/54.05 [183]~P40(x1831)+P40(x1832)+~E(x1831,x1832)
% 53.99/54.05 [184]~P65(x1841)+P65(x1842)+~E(x1841,x1842)
% 53.99/54.05 [185]~P35(x1851)+P35(x1852)+~E(x1851,x1852)
% 53.99/54.05 [186]~P61(x1861)+P61(x1862)+~E(x1861,x1862)
% 53.99/54.05 [187]~P39(x1871)+P39(x1872)+~E(x1871,x1872)
% 53.99/54.05 [188]~P34(x1881)+P34(x1882)+~E(x1881,x1882)
% 53.99/54.05 [189]~P22(x1891)+P22(x1892)+~E(x1891,x1892)
% 53.99/54.05 [190]~P74(x1901)+P74(x1902)+~E(x1901,x1902)
% 53.99/54.05 [191]~P19(x1911)+P19(x1912)+~E(x1911,x1912)
% 53.99/54.05 [192]~P79(x1921)+P79(x1922)+~E(x1921,x1922)
% 53.99/54.05 [193]P14(x1932,x1933)+~E(x1931,x1932)+~P14(x1931,x1933)
% 53.99/54.05 [194]P14(x1943,x1942)+~E(x1941,x1942)+~P14(x1943,x1941)
% 53.99/54.05 [195]~P37(x1951)+P37(x1952)+~E(x1951,x1952)
% 53.99/54.05 [196]~P7(x1961)+P7(x1962)+~E(x1961,x1962)
% 53.99/54.05 [197]~P50(x1971)+P50(x1972)+~E(x1971,x1972)
% 53.99/54.05 [198]~P43(x1981)+P43(x1982)+~E(x1981,x1982)
% 53.99/54.05 [199]~P27(x1991)+P27(x1992)+~E(x1991,x1992)
% 53.99/54.05 [200]~P80(x2001)+P80(x2002)+~E(x2001,x2002)
% 53.99/54.05 [201]~P66(x2011)+P66(x2012)+~E(x2011,x2012)
% 53.99/54.05 [202]~P58(x2021)+P58(x2022)+~E(x2021,x2022)
% 53.99/54.05 [203]~P8(x2031)+P8(x2032)+~E(x2031,x2032)
% 53.99/54.05 [204]~P77(x2041)+P77(x2042)+~E(x2041,x2042)
% 53.99/54.05
% 53.99/54.05 %-------------------------------------------
% 54.42/54.15 cnf(1806,plain,
% 54.42/54.15 (E(f4(a1,a73),f4(a1,a32))),
% 54.42/54.15 inference(scs_inference,[],[437,2])).
% 54.42/54.15 cnf(1807,plain,
% 54.42/54.15 (~P10(a68,f27(a1,f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83)))),f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74))))),
% 54.42/54.15 inference(scs_inference,[],[606,437,2,991])).
% 54.42/54.15 cnf(1809,plain,
% 54.42/54.15 (P9(a68,f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74))),f27(a1,f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83)))))),
% 54.42/54.15 inference(scs_inference,[],[606,437,2,991,924])).
% 54.42/54.15 cnf(1811,plain,
% 54.42/54.15 (~P10(a68,x18111,x18111)),
% 54.42/54.15 inference(scs_inference,[],[606,392,437,2,991,924,883])).
% 54.42/54.15 cnf(1813,plain,
% 54.42/54.15 (~E(f2(a70),f3(a70))),
% 54.42/54.15 inference(scs_inference,[],[606,392,437,474,2,991,924,883,851])).
% 54.42/54.15 cnf(1821,plain,
% 54.42/54.15 (P10(a70,x18211,f11(a70,x18211,f3(a70)))),
% 54.42/54.15 inference(scs_inference,[],[606,449,392,453,437,474,427,2,991,924,883,851,845,740,863,1363])).
% 54.42/54.15 cnf(1822,plain,
% 54.42/54.15 (P9(a70,x18221,x18221)),
% 54.42/54.15 inference(rename_variables,[],[449])).
% 54.42/54.15 cnf(1824,plain,
% 54.42/54.15 (P10(a70,f8(a70,x18241,f3(a70)),x18241)),
% 54.42/54.15 inference(scs_inference,[],[606,449,1822,392,453,437,474,427,2,991,924,883,851,845,740,863,1363,1362])).
% 54.42/54.15 cnf(1825,plain,
% 54.42/54.15 (P9(a70,x18251,x18251)),
% 54.42/54.15 inference(rename_variables,[],[449])).
% 54.42/54.15 cnf(1827,plain,
% 54.42/54.15 (P9(a70,f8(a70,f11(a70,x18271,f3(a70)),f3(a70)),x18271)),
% 54.42/54.15 inference(scs_inference,[],[606,449,1822,392,453,437,474,427,2,991,924,883,851,845,740,863,1363,1362,1361])).
% 54.42/54.15 cnf(1832,plain,
% 54.42/54.15 (P9(a69,x18321,f11(a69,x18322,x18321))),
% 54.42/54.15 inference(rename_variables,[],[495])).
% 54.42/54.15 cnf(1835,plain,
% 54.42/54.15 (P9(a69,x18351,f11(a69,x18352,x18351))),
% 54.42/54.15 inference(rename_variables,[],[495])).
% 54.42/54.15 cnf(1837,plain,
% 54.42/54.15 (~P10(a69,x18371,f8(a69,x18371,x18372))),
% 54.42/54.15 inference(scs_inference,[],[606,449,1822,589,392,453,437,474,504,427,495,1832,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258])).
% 54.42/54.15 cnf(1838,plain,
% 54.42/54.15 (~P10(a69,x18381,x18381)),
% 54.42/54.15 inference(rename_variables,[],[589])).
% 54.42/54.15 cnf(1841,plain,
% 54.42/54.15 (~P10(a69,f11(a69,x18411,x18412),x18412)),
% 54.42/54.15 inference(rename_variables,[],[599])).
% 54.42/54.15 cnf(1844,plain,
% 54.42/54.15 (~P10(a69,f11(a69,x18441,x18442),x18442)),
% 54.42/54.15 inference(rename_variables,[],[599])).
% 54.42/54.15 cnf(1847,plain,
% 54.42/54.15 (P9(a68,x18471,x18471)),
% 54.42/54.15 inference(rename_variables,[],[447])).
% 54.42/54.15 cnf(1854,plain,
% 54.42/54.15 (~P10(a68,f11(a68,f7(a68,x18541),f3(a68)),x18541)),
% 54.42/54.15 inference(rename_variables,[],[602])).
% 54.42/54.15 cnf(1861,plain,
% 54.42/54.15 (P10(a69,x18611,f13(f11(a68,f26(a69,x18611),f3(a68))))),
% 54.42/54.15 inference(scs_inference,[],[606,447,449,1822,589,392,453,455,437,474,504,427,554,605,495,1832,599,1841,480,602,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518])).
% 54.42/54.15 cnf(1862,plain,
% 54.42/54.15 (P9(a68,x18621,f26(a69,f13(x18621)))),
% 54.42/54.15 inference(rename_variables,[],[480])).
% 54.42/54.15 cnf(1865,plain,
% 54.42/54.15 (P10(a68,x18651,f11(a68,f26(a69,f24(x18651)),f3(a68)))),
% 54.42/54.15 inference(rename_variables,[],[515])).
% 54.42/54.15 cnf(1868,plain,
% 54.42/54.15 (P9(a69,x18681,x18681)),
% 54.42/54.15 inference(rename_variables,[],[448])).
% 54.42/54.15 cnf(1872,plain,
% 54.42/54.15 (P10(a69,x18721,f11(a69,f24(f26(a69,x18721)),f3(a69)))),
% 54.42/54.15 inference(scs_inference,[],[606,447,448,449,1822,589,392,453,455,437,474,504,427,554,605,495,1832,599,1841,480,602,515,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186])).
% 54.42/54.15 cnf(1875,plain,
% 54.42/54.15 (P9(a68,x18751,f26(a69,f13(x18751)))),
% 54.42/54.15 inference(rename_variables,[],[480])).
% 54.42/54.15 cnf(1878,plain,
% 54.42/54.15 (P9(a68,x18781,x18781)),
% 54.42/54.15 inference(rename_variables,[],[447])).
% 54.42/54.15 cnf(1880,plain,
% 54.42/54.15 (P9(a69,x18801,f24(f26(a69,f13(f26(a69,x18801)))))),
% 54.42/54.15 inference(scs_inference,[],[606,447,1847,448,449,1822,589,392,453,455,437,474,504,427,554,605,495,1832,599,1841,480,1862,1875,602,515,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087])).
% 54.42/54.15 cnf(1881,plain,
% 54.42/54.15 (P9(a68,x18811,f26(a69,f13(x18811)))),
% 54.42/54.15 inference(rename_variables,[],[480])).
% 54.42/54.15 cnf(1883,plain,
% 54.42/54.15 (P9(a69,f11(a69,f2(a69),x18831),x18831)),
% 54.42/54.15 inference(scs_inference,[],[606,447,1847,448,449,1822,589,392,453,455,437,474,504,427,554,605,495,1832,599,1841,480,1862,1875,498,602,515,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013])).
% 54.42/54.15 cnf(1884,plain,
% 54.42/54.15 (E(f8(a69,f11(a69,x18841,x18842),x18842),x18841)),
% 54.42/54.15 inference(rename_variables,[],[498])).
% 54.42/54.15 cnf(1889,plain,
% 54.42/54.15 (~P10(a68,f11(a68,f7(a68,x18891),f3(a68)),x18891)),
% 54.42/54.15 inference(rename_variables,[],[602])).
% 54.42/54.15 cnf(1892,plain,
% 54.42/54.15 (P10(a68,x18921,f11(a68,f26(a69,f24(x18921)),f3(a68)))),
% 54.42/54.15 inference(rename_variables,[],[515])).
% 54.42/54.15 cnf(1894,plain,
% 54.42/54.15 (~P10(a69,x18941,f8(a69,f11(a69,x18941,x18942),x18942))),
% 54.42/54.15 inference(scs_inference,[],[606,447,1847,448,449,1822,589,1838,392,453,455,437,474,504,427,554,605,495,1832,599,1841,480,1862,1875,498,602,1854,515,1865,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498])).
% 54.42/54.15 cnf(1895,plain,
% 54.42/54.15 (~P10(a69,x18951,x18951)),
% 54.42/54.15 inference(rename_variables,[],[589])).
% 54.42/54.15 cnf(1897,plain,
% 54.42/54.15 (~P10(a69,f11(a69,f8(a69,x18971,x18972),x18972),x18971)),
% 54.42/54.15 inference(scs_inference,[],[606,447,1847,448,449,1822,589,1838,1895,392,453,455,437,474,504,427,554,605,495,1832,599,1841,480,1862,1875,498,602,1854,515,1865,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496])).
% 54.42/54.15 cnf(1898,plain,
% 54.42/54.15 (~P10(a69,x18981,x18981)),
% 54.42/54.15 inference(rename_variables,[],[589])).
% 54.42/54.15 cnf(1901,plain,
% 54.42/54.15 (P9(a69,x19011,x19011)),
% 54.42/54.15 inference(rename_variables,[],[448])).
% 54.42/54.15 cnf(1903,plain,
% 54.42/54.15 (P9(a68,x19031,x19031)),
% 54.42/54.15 inference(rename_variables,[],[447])).
% 54.42/54.15 cnf(1904,plain,
% 54.42/54.15 (~E(f3(a68),a81)),
% 54.42/54.15 inference(scs_inference,[],[606,447,1847,1878,448,1868,449,1822,589,1838,1895,392,453,455,437,474,504,427,554,605,495,1832,599,1841,480,1862,1875,498,602,1854,515,1865,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116])).
% 54.42/54.15 cnf(1906,plain,
% 54.42/54.15 (~P10(a68,f11(a68,f7(a68,x19061),f3(a68)),x19061)),
% 54.42/54.15 inference(rename_variables,[],[602])).
% 54.42/54.15 cnf(1908,plain,
% 54.42/54.15 (~P10(a68,f3(a68),a81)),
% 54.42/54.15 inference(scs_inference,[],[606,447,1847,1878,448,1868,449,1822,589,1838,1895,392,403,453,455,437,474,593,504,427,554,605,495,1832,599,1841,480,1862,1875,498,602,1854,1889,515,1865,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098])).
% 54.42/54.15 cnf(1910,plain,
% 54.42/54.15 (~P10(a69,f4(a1,a73),f11(a69,a78,f3(a69)))),
% 54.42/54.15 inference(scs_inference,[],[606,447,1847,1878,448,1868,449,1822,589,1838,1895,392,397,403,453,455,437,474,593,504,427,554,605,495,1832,599,1841,480,1862,1875,498,602,1854,1889,515,1865,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097])).
% 54.42/54.15 cnf(1912,plain,
% 54.42/54.15 (~P10(a70,x19121,x19121)),
% 54.42/54.15 inference(scs_inference,[],[606,447,1847,1878,448,1868,449,1822,1825,589,1838,1895,392,397,398,403,453,455,437,474,593,504,427,554,605,495,1832,599,1841,480,1862,1875,498,602,1854,1889,515,1865,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096])).
% 54.42/54.15 cnf(1914,plain,
% 54.42/54.15 (~P10(a70,f3(a70),f2(a70))),
% 54.42/54.15 inference(scs_inference,[],[606,447,1847,1878,448,1868,449,1822,1825,589,1838,1895,392,394,397,398,403,453,455,437,474,593,504,427,554,605,495,1832,599,1841,480,1862,1875,498,602,1854,1889,515,1865,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093])).
% 54.42/54.15 cnf(1916,plain,
% 54.42/54.15 (~P9(a70,f3(a70),f2(a70))),
% 54.42/54.15 inference(scs_inference,[],[606,447,1847,1878,448,1868,449,1822,1825,589,1838,1895,392,394,397,398,403,453,455,437,473,474,585,593,504,427,554,605,495,1832,599,1841,480,1862,1875,498,602,1854,1889,515,1865,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074])).
% 54.42/54.15 cnf(1919,plain,
% 54.42/54.15 (P9(a69,f8(a69,x19191,x19192),x19191)),
% 54.42/54.15 inference(rename_variables,[],[497])).
% 54.42/54.15 cnf(1920,plain,
% 54.42/54.15 (P9(a69,f2(a69),x19201)),
% 54.42/54.15 inference(rename_variables,[],[463])).
% 54.42/54.15 cnf(1923,plain,
% 54.42/54.15 (P9(a69,f2(a69),x19231)),
% 54.42/54.15 inference(rename_variables,[],[463])).
% 54.42/54.15 cnf(1925,plain,
% 54.42/54.15 (~P9(a68,f3(a68),a81)),
% 54.42/54.15 inference(scs_inference,[],[606,447,1847,1878,448,1868,449,1822,1825,589,1838,1895,392,394,397,398,403,463,1920,453,455,437,473,474,585,593,504,427,554,605,495,1832,497,599,1841,480,1862,1875,498,602,1854,1889,515,1865,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008])).
% 54.42/54.15 cnf(1927,plain,
% 54.42/54.15 (P10(a68,f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74))),f27(a1,f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83)))))),
% 54.42/54.15 inference(scs_inference,[],[606,447,1847,1878,448,1868,449,1822,1825,589,1838,1895,392,394,396,397,398,403,463,1920,453,455,437,473,474,585,593,504,427,554,605,495,1832,497,599,1841,480,1862,1875,498,602,1854,1889,515,1865,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955])).
% 54.42/54.15 cnf(1935,plain,
% 54.42/54.15 (P10(a68,x19351,f11(a68,f26(a69,f24(f7(a68,x19351))),f3(a68)))),
% 54.42/54.15 inference(scs_inference,[],[606,447,1847,1878,448,1868,449,1822,1825,589,1838,1895,274,392,394,396,397,398,403,463,1920,453,455,437,436,473,474,585,593,504,427,554,605,495,1832,497,599,1841,480,1862,1875,498,602,1854,1889,515,1865,1892,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131])).
% 54.42/54.15 cnf(1936,plain,
% 54.42/54.15 (P10(a68,x19361,f11(a68,f26(a69,f24(x19361)),f3(a68)))),
% 54.42/54.15 inference(rename_variables,[],[515])).
% 54.42/54.15 cnf(1938,plain,
% 54.42/54.15 (P9(a70,x19381,f7(a70,x19381))),
% 54.42/54.15 inference(scs_inference,[],[606,447,1847,1878,448,1868,449,1822,1825,589,1838,1895,274,349,392,394,396,397,398,403,463,1920,453,455,437,436,473,474,585,593,504,427,554,605,495,1832,497,599,1841,480,1862,1875,498,602,1854,1889,515,1865,1892,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130])).
% 54.42/54.15 cnf(1939,plain,
% 54.42/54.15 (P9(a70,x19391,x19391)),
% 54.42/54.15 inference(rename_variables,[],[449])).
% 54.42/54.15 cnf(1941,plain,
% 54.42/54.15 (~P10(a68,f2(a68),f26(a69,f24(f2(a68))))),
% 54.42/54.15 inference(scs_inference,[],[606,447,1847,1878,1903,448,1868,449,1822,1825,589,1838,1895,1898,274,349,392,394,396,397,398,403,463,1920,453,455,437,436,473,474,585,593,504,427,554,605,495,1832,497,599,1841,480,1862,1875,498,602,1854,1889,515,1865,1892,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308])).
% 54.42/54.15 cnf(1942,plain,
% 54.42/54.15 (P9(a68,x19421,x19421)),
% 54.42/54.15 inference(rename_variables,[],[447])).
% 54.42/54.15 cnf(1943,plain,
% 54.42/54.15 (~P10(a69,x19431,x19431)),
% 54.42/54.15 inference(rename_variables,[],[589])).
% 54.42/54.15 cnf(1945,plain,
% 54.42/54.15 (P9(a68,f26(a69,f24(f2(a68))),f2(a68))),
% 54.42/54.15 inference(scs_inference,[],[606,447,1847,1878,1903,1942,448,1868,1901,449,1822,1825,589,1838,1895,1898,274,349,392,394,396,397,398,403,463,1920,453,455,437,436,473,474,585,593,504,427,554,605,495,1832,497,599,1841,480,1862,1875,498,602,1854,1889,515,1865,1892,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292])).
% 54.42/54.15 cnf(1946,plain,
% 54.42/54.15 (P9(a68,x19461,x19461)),
% 54.42/54.15 inference(rename_variables,[],[447])).
% 54.42/54.15 cnf(1947,plain,
% 54.42/54.15 (P9(a69,x19471,x19471)),
% 54.42/54.15 inference(rename_variables,[],[448])).
% 54.42/54.15 cnf(1955,plain,
% 54.42/54.15 (P10(a69,x19551,f11(a69,x19551,f13(f11(a68,f26(a69,f2(a69)),f3(a68)))))),
% 54.42/54.15 inference(scs_inference,[],[606,447,1847,1878,1903,1942,448,1868,1901,449,1822,1825,589,1838,1895,1898,209,274,349,392,394,396,397,398,403,463,1920,453,455,437,436,473,474,584,585,593,504,427,431,554,605,495,1832,497,599,1841,480,1862,1875,498,467,602,1854,1889,515,1865,1892,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357])).
% 54.42/54.15 cnf(1956,plain,
% 54.42/54.15 (E(f11(a69,f2(a69),x19561),x19561)),
% 54.42/54.15 inference(rename_variables,[],[467])).
% 54.42/54.15 cnf(1959,plain,
% 54.42/54.15 (P9(a68,x19591,x19591)),
% 54.42/54.15 inference(rename_variables,[],[447])).
% 54.42/54.15 cnf(1963,plain,
% 54.42/54.15 (~P16(a69)),
% 54.42/54.15 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,448,1868,1901,449,1822,1825,589,1838,1895,1898,209,274,349,356,392,394,396,397,398,403,463,1920,453,455,578,437,436,473,474,584,585,593,504,427,431,554,605,573,495,1832,497,599,1841,480,1862,1875,498,467,602,1854,1889,494,471,515,1865,1892,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915])).
% 54.42/54.15 cnf(1964,plain,
% 54.42/54.15 (E(f8(a69,f2(a69),x19641),f2(a69))),
% 54.42/54.15 inference(rename_variables,[],[471])).
% 54.42/54.15 cnf(1966,plain,
% 54.42/54.15 (~P24(a69)),
% 54.42/54.15 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,448,1868,1901,449,1822,1825,589,1838,1895,1898,209,274,349,356,392,394,396,397,398,403,463,1920,453,455,578,437,436,473,474,584,585,593,504,427,431,554,605,573,495,1832,497,599,1841,480,1862,1875,498,467,602,1854,1889,494,471,1964,515,1865,1892,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914])).
% 54.42/54.15 cnf(1973,plain,
% 54.42/54.15 (~P9(a70,f3(a70),f9(a70,f3(a70)))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,448,1868,1901,449,1822,1825,589,1838,1895,1898,209,274,349,356,376,377,392,394,396,397,398,403,463,1920,453,455,578,437,436,473,474,584,585,593,504,427,431,554,605,573,495,1832,497,599,1841,598,480,1862,1875,498,467,602,1854,1889,494,471,1964,515,1865,1892,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155])).
% 54.42/54.16 cnf(1975,plain,
% 54.42/54.16 (~E(f11(a68,x19751,f3(a68)),x19751)),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,448,1868,1901,449,1822,1825,589,1838,1895,1898,209,249,274,349,356,376,377,392,394,396,397,398,403,463,1920,453,455,578,437,436,473,474,584,585,593,504,427,431,554,605,573,495,1832,497,599,1841,598,480,1862,1875,498,467,602,1854,1889,494,471,1964,515,1865,1892,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911])).
% 54.42/54.16 cnf(1980,plain,
% 54.42/54.16 (E(f13(f26(a69,x19801)),x19801)),
% 54.42/54.16 inference(rename_variables,[],[440])).
% 54.42/54.16 cnf(1984,plain,
% 54.42/54.16 (P10(a68,x19841,f26(a69,f24(f11(a68,x19841,f3(a68)))))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,448,1868,1901,449,1822,1825,589,1838,1895,1898,209,249,274,319,349,356,376,377,378,392,394,396,397,398,403,463,1920,453,455,578,437,436,473,474,584,585,593,504,427,431,554,605,573,495,1832,497,599,1841,598,440,480,1862,1875,498,467,602,1854,1889,494,471,1964,515,1865,1892,1936,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608])).
% 54.42/54.16 cnf(1985,plain,
% 54.42/54.16 (P10(a68,x19851,f11(a68,f26(a69,f24(x19851)),f3(a68)))),
% 54.42/54.16 inference(rename_variables,[],[515])).
% 54.42/54.16 cnf(1988,plain,
% 54.42/54.16 (~P10(a68,f11(a68,f7(a68,x19881),f3(a68)),x19881)),
% 54.42/54.16 inference(rename_variables,[],[602])).
% 54.42/54.16 cnf(1992,plain,
% 54.42/54.16 (~P32(a69)),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,448,1868,1901,449,1822,1825,589,1838,1895,1898,209,249,274,319,349,356,376,377,378,384,388,392,394,396,397,398,403,463,1920,592,453,455,578,437,436,473,474,584,585,593,504,427,431,554,605,573,495,1832,497,599,1841,598,440,480,1862,1875,498,467,602,1854,1889,1906,494,471,1964,515,1865,1892,1936,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295])).
% 54.42/54.16 cnf(1993,plain,
% 54.42/54.16 (~P10(a69,x19931,f2(a69))),
% 54.42/54.16 inference(rename_variables,[],[592])).
% 54.42/54.16 cnf(1997,plain,
% 54.42/54.16 (~P10(a68,x19971,f9(a68,f11(a68,f7(a68,f9(a68,x19971)),f3(a68))))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,448,1868,1901,449,1822,1825,589,1838,1895,1898,209,249,274,319,349,356,376,377,378,384,387,388,392,394,396,397,398,403,463,1920,592,453,455,578,437,436,473,474,584,585,593,504,427,431,554,605,573,495,1832,497,599,1841,598,440,480,1862,1875,498,467,602,1854,1889,1906,1988,494,471,1964,515,1865,1892,1936,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196])).
% 54.42/54.16 cnf(1998,plain,
% 54.42/54.16 (~P10(a68,f11(a68,f7(a68,x19981),f3(a68)),x19981)),
% 54.42/54.16 inference(rename_variables,[],[602])).
% 54.42/54.16 cnf(2019,plain,
% 54.42/54.16 (~P10(a68,f11(a68,f7(a68,x20191),f3(a68)),x20191)),
% 54.42/54.16 inference(rename_variables,[],[602])).
% 54.42/54.16 cnf(2023,plain,
% 54.42/54.16 (~P9(a70,f2(a70),f9(a70,f3(a70)))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,448,1868,1901,449,1822,1825,589,1838,1895,1898,209,249,266,274,319,349,356,376,377,378,384,387,388,392,394,396,397,398,403,463,1920,592,453,455,578,437,436,473,474,584,585,593,504,427,431,554,605,573,495,1832,497,599,1841,598,440,480,1862,1875,498,467,602,1854,1889,1906,1988,1998,494,471,1964,515,1865,1892,1936,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171])).
% 54.42/54.16 cnf(2033,plain,
% 54.42/54.16 (P9(a68,f7(a68,f25(a68,f2(a68))),f2(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,448,1868,1901,449,1822,1825,589,1838,1895,1898,209,249,266,274,319,331,348,349,356,376,377,378,384,387,388,392,394,396,397,398,403,463,1920,592,453,455,578,437,436,473,474,584,585,593,504,427,431,554,605,573,495,1832,497,599,1841,598,440,480,1862,1875,498,467,602,1854,1889,1906,1988,1998,494,471,1964,515,1865,1892,1936,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916])).
% 54.42/54.16 cnf(2041,plain,
% 54.42/54.16 (~E(f25(a68,a81),f3(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,448,1868,1901,449,1822,1825,589,1838,1895,1898,209,249,266,274,288,313,319,328,331,348,349,356,376,377,378,384,387,388,392,394,396,397,398,403,463,1920,592,453,455,577,578,437,436,473,474,584,585,593,504,586,427,431,554,605,573,495,1832,497,599,1841,598,440,480,1862,1875,498,467,602,1854,1889,1906,1988,1998,494,471,1964,515,1865,1892,1936,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715])).
% 54.42/54.16 cnf(2047,plain,
% 54.42/54.16 (~E(f9(a68,f3(a68)),f2(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,448,1868,1901,449,1822,1825,589,1838,1895,1898,209,213,249,266,274,288,313,319,328,329,331,348,349,356,376,377,378,384,387,388,392,394,396,397,398,403,463,1920,592,453,455,577,578,437,436,473,474,584,585,593,504,586,427,431,554,605,573,495,1832,497,599,1841,598,440,480,1862,1875,498,467,602,1854,1889,1906,1988,1998,494,471,1964,515,1865,1892,1936,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712])).
% 54.42/54.16 cnf(2051,plain,
% 54.42/54.16 (~E(f25(a68,f3(a68)),f2(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,448,1868,1901,449,1822,1825,589,1838,1895,1898,209,213,247,249,266,274,288,313,319,328,329,331,348,349,356,376,377,378,384,387,388,392,394,396,397,398,403,463,1920,592,453,455,577,578,437,436,473,474,584,585,593,504,586,427,431,554,605,573,495,1832,497,599,1841,598,440,480,1862,1875,498,467,602,1854,1889,1906,1988,1998,494,471,1964,515,1865,1892,1936,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710])).
% 54.42/54.16 cnf(2063,plain,
% 54.42/54.16 (~P10(a68,f11(a68,f26(a69,x20631),f26(a69,x20631)),f2(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,448,1868,1901,449,1822,1825,589,1838,1895,1898,209,213,228,247,249,266,274,288,313,319,328,329,331,348,349,356,376,377,378,384,387,388,392,394,396,397,398,403,463,1920,592,453,455,577,578,437,436,473,474,584,585,593,504,586,427,431,554,605,573,495,1832,497,599,1841,598,440,480,1862,1875,498,467,602,1854,1889,1906,1988,1998,494,471,1964,515,1865,1892,1936,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399])).
% 54.42/54.16 cnf(2066,plain,
% 54.42/54.16 (~P10(a68,f11(a68,f7(a68,x20661),f3(a68)),x20661)),
% 54.42/54.16 inference(rename_variables,[],[602])).
% 54.42/54.16 cnf(2073,plain,
% 54.42/54.16 (E(f8(a69,f11(a69,x20731,x20732),x20732),x20731)),
% 54.42/54.16 inference(rename_variables,[],[498])).
% 54.42/54.16 cnf(2076,plain,
% 54.42/54.16 (~E(f11(a68,f3(a68),f3(a68)),f2(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,448,1868,1901,449,1822,1825,589,1838,1895,1898,209,213,228,247,249,266,274,288,313,319,328,329,331,348,349,356,376,377,378,384,387,388,392,394,396,397,398,403,463,1920,592,453,455,577,578,437,436,473,474,584,585,593,504,586,427,431,554,605,573,495,1832,497,599,1841,598,440,480,1862,1875,498,1884,467,602,1854,1889,1906,1988,1998,2019,494,500,471,1964,515,1865,1892,1936,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918])).
% 54.42/54.16 cnf(2078,plain,
% 54.42/54.16 (~E(f11(a1,a83,f2(a1)),f2(a1))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,448,1868,1901,449,1822,1825,589,1838,1895,1898,209,213,228,247,249,266,274,288,313,319,328,329,331,348,349,356,376,377,378,384,387,388,392,394,396,397,398,403,463,1920,592,453,455,577,578,437,436,473,474,584,585,593,504,586,427,431,554,605,573,495,1832,497,599,1841,598,440,480,1862,1875,498,1884,467,602,1854,1889,1906,1988,1998,2019,494,500,471,1964,515,1865,1892,1936,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947])).
% 54.42/54.16 cnf(2083,plain,
% 54.42/54.16 (~E(f11(a70,f3(a70),x20831),f9(a70,x20831))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,448,1868,1901,449,1822,1825,589,1838,1895,1898,209,213,228,247,249,266,274,288,313,319,328,329,330,331,348,349,356,376,377,378,384,387,388,392,394,396,397,398,403,463,1920,592,453,455,577,578,437,436,473,474,584,585,593,504,586,427,431,554,605,573,495,1832,497,599,1841,598,440,480,1862,1875,498,1884,467,602,1854,1889,1906,1988,1998,2019,494,500,471,1964,515,1865,1892,1936,450,601,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862])).
% 54.42/54.16 cnf(2085,plain,
% 54.42/54.16 (~E(x20851,f9(a70,f11(a70,f3(a70),x20851)))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,448,1868,1901,449,1822,1825,589,1838,1895,1898,209,213,228,247,249,266,274,288,313,319,328,329,330,331,348,349,356,376,377,378,384,387,388,392,394,396,397,398,403,463,1920,592,453,455,577,578,437,436,473,474,584,585,593,504,586,427,431,554,605,573,495,1832,497,599,1841,598,440,480,1862,1875,498,1884,467,602,1854,1889,1906,1988,1998,2019,494,500,471,1964,515,1865,1892,1936,450,601,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861])).
% 54.42/54.16 cnf(2087,plain,
% 54.42/54.16 (P10(a68,f8(a68,x20871,f11(a68,f26(a69,f24(f7(a68,f8(a68,x20872,x20871)))),f3(a68))),x20872)),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,448,1868,1901,449,1822,1825,589,1838,1895,1898,209,213,228,247,249,266,274,288,313,319,328,329,330,331,348,349,356,376,377,378,384,387,388,392,394,396,397,398,403,463,1920,592,453,455,577,578,437,436,473,474,584,585,593,504,586,427,431,554,605,573,495,1832,497,599,1841,598,440,480,1862,1875,498,1884,467,602,1854,1889,1906,1988,1998,2019,494,500,471,1964,515,1865,1892,1936,1985,450,601,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707])).
% 54.42/54.16 cnf(2088,plain,
% 54.42/54.16 (P10(a68,x20881,f11(a68,f26(a69,f24(x20881)),f3(a68)))),
% 54.42/54.16 inference(rename_variables,[],[515])).
% 54.42/54.16 cnf(2091,plain,
% 54.42/54.16 (P10(a68,x20911,f11(a68,f26(a69,f24(x20911)),f3(a68)))),
% 54.42/54.16 inference(rename_variables,[],[515])).
% 54.42/54.16 cnf(2101,plain,
% 54.42/54.16 (~P10(a69,x21011,f11(a69,f53(f53(f10(a69),f8(a69,x21012,x21012)),x21013),x21011))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,448,1868,1901,1947,449,1822,1825,589,1838,1895,1898,1943,209,213,228,247,249,266,274,288,313,319,328,329,330,331,348,349,356,376,377,378,384,387,388,392,394,396,397,398,403,463,1920,592,453,455,577,578,437,436,473,474,584,585,593,504,586,427,431,554,605,573,495,1832,497,599,1841,598,440,480,1862,1875,498,1884,467,602,1854,1889,1906,1988,1998,2019,494,500,471,1964,515,1865,1892,1936,1985,2088,450,601,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790])).
% 54.42/54.16 cnf(2102,plain,
% 54.42/54.16 (~P10(a69,x21021,x21021)),
% 54.42/54.16 inference(rename_variables,[],[589])).
% 54.42/54.16 cnf(2104,plain,
% 54.42/54.16 (P9(a69,f11(a69,f53(f53(f10(a69),f8(a69,f2(a69),f2(a69))),x21041),x21042),x21042)),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,448,1868,1901,1947,449,1822,1825,589,1838,1895,1898,1943,209,213,228,247,249,266,274,288,313,319,328,329,330,331,348,349,356,376,377,378,384,387,388,392,394,396,397,398,403,463,1920,1923,592,453,455,577,578,437,436,473,474,584,585,593,504,586,427,431,554,605,573,495,1832,497,599,1841,598,440,480,1862,1875,498,1884,467,602,1854,1889,1906,1988,1998,2019,494,500,471,1964,515,1865,1892,1936,1985,2088,450,601,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782])).
% 54.42/54.16 cnf(2105,plain,
% 54.42/54.16 (P9(a69,x21051,x21051)),
% 54.42/54.16 inference(rename_variables,[],[448])).
% 54.42/54.16 cnf(2106,plain,
% 54.42/54.16 (P9(a69,f2(a69),x21061)),
% 54.42/54.16 inference(rename_variables,[],[463])).
% 54.42/54.16 cnf(2111,plain,
% 54.42/54.16 (E(f11(a69,x21111,x21112),f11(a69,x21112,x21111))),
% 54.42/54.16 inference(rename_variables,[],[484])).
% 54.42/54.16 cnf(2114,plain,
% 54.42/54.16 (E(f11(a69,x21141,x21142),f11(a69,x21142,x21141))),
% 54.42/54.16 inference(rename_variables,[],[484])).
% 54.42/54.16 cnf(2116,plain,
% 54.42/54.16 (P9(f77(x21161,a68),x21162,x21162)),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,448,1868,1901,1947,2105,449,1822,1825,589,1838,1895,1898,1943,209,213,228,247,249,266,274,288,313,319,328,329,330,331,348,349,356,376,377,378,384,387,388,392,394,396,397,398,399,403,463,1920,1923,592,453,455,577,578,437,436,473,474,584,585,593,504,586,427,431,554,605,573,495,1832,497,599,1841,484,2111,598,440,480,1862,1875,498,1884,467,602,1854,1889,1906,1988,1998,2019,494,500,471,1964,515,1865,1892,1936,1985,2088,450,601,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799])).
% 54.42/54.16 cnf(2117,plain,
% 54.42/54.16 (P9(a68,x21171,x21171)),
% 54.42/54.16 inference(rename_variables,[],[447])).
% 54.42/54.16 cnf(2119,plain,
% 54.42/54.16 (~P10(a68,f11(a68,f53(f53(f10(a68),x21191),x21192),f11(a68,f7(a68,f11(a68,f53(f53(f10(a68),f8(a68,x21193,x21191)),x21192),x21194)),f3(a68))),f11(a68,f53(f53(f10(a68),x21193),x21192),x21194))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,448,1868,1901,1947,2105,449,1822,1825,589,1838,1895,1898,1943,209,213,228,247,249,266,272,274,288,313,319,328,329,330,331,348,349,356,376,377,378,384,387,388,392,394,396,397,398,399,403,463,1920,1923,592,453,455,577,578,437,436,473,474,584,585,593,504,586,427,431,554,605,573,495,1832,497,599,1841,484,2111,598,440,480,1862,1875,498,1884,467,602,1854,1889,1906,1988,1998,2019,2066,494,500,471,1964,515,1865,1892,1936,1985,2088,450,601,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785])).
% 54.42/54.16 cnf(2120,plain,
% 54.42/54.16 (~P10(a68,f11(a68,f7(a68,x21201),f3(a68)),x21201)),
% 54.42/54.16 inference(rename_variables,[],[602])).
% 54.42/54.16 cnf(2122,plain,
% 54.42/54.16 (~E(f11(a1,f53(f53(f10(a1),x21221),x21222),x21223),f11(a1,f53(f53(f10(a1),x21224),x21222),f9(a70,f11(a70,f3(a70),f11(a1,f53(f53(f10(a1),f8(a1,x21221,x21224)),x21222),x21223)))))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,448,1868,1901,1947,2105,449,1822,1825,589,1838,1895,1898,1943,209,213,228,247,249,266,269,272,274,288,313,319,328,329,330,331,348,349,356,376,377,378,384,387,388,392,394,396,397,398,399,403,463,1920,1923,592,453,455,577,578,437,436,473,474,584,585,593,504,586,427,431,554,605,573,495,1832,497,599,1841,484,2111,598,440,480,1862,1875,498,1884,467,602,1854,1889,1906,1988,1998,2019,2066,494,500,471,1964,515,1865,1892,1936,1985,2088,450,601,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752])).
% 54.42/54.16 cnf(2129,plain,
% 54.42/54.16 (P9(a69,f2(a69),x21291)),
% 54.42/54.16 inference(rename_variables,[],[463])).
% 54.42/54.16 cnf(2134,plain,
% 54.42/54.16 (P10(a68,x21341,f11(a68,f26(a69,f24(x21341)),f3(a68)))),
% 54.42/54.16 inference(rename_variables,[],[515])).
% 54.42/54.16 cnf(2137,plain,
% 54.42/54.16 (~P10(a68,f11(a68,f7(a68,x21371),f3(a68)),x21371)),
% 54.42/54.16 inference(rename_variables,[],[602])).
% 54.42/54.16 cnf(2139,plain,
% 54.42/54.16 (P10(a70,f2(a70),f11(a70,f3(a70),f3(a70)))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,448,1868,1901,1947,2105,449,1822,1825,589,1838,1895,1898,1943,209,213,228,247,249,266,269,272,274,288,313,319,328,329,330,331,348,349,356,376,377,378,384,387,388,392,393,394,396,397,398,399,403,405,463,1920,1923,2106,592,453,455,577,578,437,436,473,474,584,585,593,504,586,427,431,540,555,554,605,573,495,1832,497,599,1841,484,2111,598,440,480,1862,1875,498,1884,467,602,1854,1889,1906,1988,1998,2019,2066,2120,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,450,601,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234])).
% 54.42/54.16 cnf(2141,plain,
% 54.42/54.16 (P9(a69,f11(a69,f53(f53(f10(a69),x21411),x21412),x21413),f11(a69,x21414,f11(a69,f53(f53(f10(a69),x21411),x21412),f11(a69,f11(a69,f53(f53(f10(a69),x21411),x21412),x21413),x21415))))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,448,1868,1901,1947,2105,449,1822,1825,589,1838,1895,1898,1943,209,213,228,247,249,266,269,272,274,288,313,319,328,329,330,331,348,349,356,376,377,378,384,387,388,392,393,394,396,397,398,399,403,404,405,463,1920,1923,2106,592,453,455,577,578,437,436,473,474,584,585,593,504,586,427,431,540,555,554,605,573,495,1832,1835,497,599,1841,484,2111,598,440,480,1862,1875,498,1884,467,602,1854,1889,1906,1988,1998,2019,2066,2120,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,450,601,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232])).
% 54.42/54.16 cnf(2142,plain,
% 54.42/54.16 (P9(a69,x21421,f11(a69,x21422,x21421))),
% 54.42/54.16 inference(rename_variables,[],[495])).
% 54.42/54.16 cnf(2144,plain,
% 54.42/54.16 (~P9(a69,a78,f2(a69))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,448,1868,1901,1947,2105,449,1822,1825,589,1838,1895,1898,1943,209,213,228,247,249,266,269,272,274,288,313,319,328,329,330,331,348,349,356,376,377,378,384,387,388,392,393,394,396,397,398,399,403,404,405,463,1920,1923,2106,2129,592,453,455,577,578,437,436,473,474,584,585,593,504,586,427,431,540,555,554,605,573,495,1832,1835,497,599,1841,484,2111,598,440,480,1862,1875,498,1884,467,602,1854,1889,1906,1988,1998,2019,2066,2120,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,450,601,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113])).
% 54.42/54.16 cnf(2145,plain,
% 54.42/54.16 (P9(a69,f2(a69),x21451)),
% 54.42/54.16 inference(rename_variables,[],[463])).
% 54.42/54.16 cnf(2147,plain,
% 54.42/54.16 (~P9(a69,f4(a1,f11(a68,f2(f72(a1)),f3(a68))),f2(a69))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,448,1868,1901,1947,2105,449,1822,1825,589,1838,1895,1898,1943,209,213,228,247,249,266,269,272,274,288,313,319,328,329,330,331,348,349,356,376,377,378,384,387,388,392,393,394,396,397,398,399,403,404,405,463,1920,1923,2106,2129,592,1993,453,455,577,578,437,436,473,474,584,585,593,504,586,427,431,540,555,554,605,573,495,1832,1835,497,599,1841,484,2111,598,440,480,1862,1875,498,1884,467,602,1854,1889,1906,1988,1998,2019,2066,2120,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,450,601,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043])).
% 54.42/54.16 cnf(2148,plain,
% 54.42/54.16 (~P10(a69,x21481,f2(a69))),
% 54.42/54.16 inference(rename_variables,[],[592])).
% 54.42/54.16 cnf(2151,plain,
% 54.42/54.16 (~P10(a69,x21511,f2(a69))),
% 54.42/54.16 inference(rename_variables,[],[592])).
% 54.42/54.16 cnf(2156,plain,
% 54.42/54.16 (E(f8(a69,f11(a69,x21561,x21562),x21562),x21561)),
% 54.42/54.16 inference(rename_variables,[],[498])).
% 54.42/54.16 cnf(2157,plain,
% 54.42/54.16 (P9(a69,f2(a69),x21571)),
% 54.42/54.16 inference(rename_variables,[],[463])).
% 54.42/54.16 cnf(2158,plain,
% 54.42/54.16 (P9(a69,x21581,x21581)),
% 54.42/54.16 inference(rename_variables,[],[448])).
% 54.42/54.16 cnf(2160,plain,
% 54.42/54.16 (~P10(a68,f11(a68,f7(a68,f11(a68,f2(a68),x21601)),f3(a68)),x21601)),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,448,1868,1901,1947,2105,449,1822,1825,589,1838,1895,1898,1943,209,213,228,247,249,266,269,272,274,288,313,319,328,329,330,331,348,349,356,376,377,378,384,387,388,389,392,393,394,396,397,398,399,403,404,405,463,1920,1923,2106,2129,2145,592,1993,2148,453,455,577,578,582,437,436,473,474,584,585,593,504,586,427,431,540,555,554,605,573,495,1832,1835,497,599,1841,484,2111,598,440,480,1862,1875,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,450,601,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428])).
% 54.42/54.16 cnf(2161,plain,
% 54.42/54.16 (~P10(a68,f11(a68,f7(a68,x21611),f3(a68)),x21611)),
% 54.42/54.16 inference(rename_variables,[],[602])).
% 54.42/54.16 cnf(2162,plain,
% 54.42/54.16 (P9(a68,x21621,x21621)),
% 54.42/54.16 inference(rename_variables,[],[447])).
% 54.42/54.16 cnf(2164,plain,
% 54.42/54.16 (~P9(a69,f11(a69,f13(f11(a68,f26(a69,f2(a69)),f3(a68))),x21641),x21641)),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,448,1868,1901,1947,2105,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,228,247,249,266,269,272,274,288,313,319,328,329,330,331,348,349,356,376,377,378,384,387,388,389,390,392,393,394,396,397,398,399,403,404,405,463,1920,1923,2106,2129,2145,592,1993,2148,453,455,577,578,582,437,436,473,474,584,585,593,504,586,427,431,540,555,554,605,573,495,1832,1835,497,599,1841,484,2111,598,440,480,1862,1875,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,450,601,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427])).
% 54.42/54.16 cnf(2165,plain,
% 54.42/54.16 (~P10(a69,x21651,x21651)),
% 54.42/54.16 inference(rename_variables,[],[589])).
% 54.42/54.16 cnf(2168,plain,
% 54.42/54.16 (~P10(a68,f11(a68,f7(a68,x21681),f3(a68)),x21681)),
% 54.42/54.16 inference(rename_variables,[],[602])).
% 54.42/54.16 cnf(2170,plain,
% 54.42/54.16 (~P9(a69,f11(a69,f13(f11(a68,f26(a69,f2(a69)),f3(a68))),f11(a69,f2(a69),x21701)),x21701)),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,448,1868,1901,1947,2105,2158,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,223,228,247,249,266,269,272,274,288,313,319,328,329,330,331,348,349,356,376,377,378,384,387,388,389,390,392,393,394,396,397,398,399,403,404,405,463,1920,1923,2106,2129,2145,592,1993,2148,453,455,577,578,582,437,436,473,474,584,585,593,504,586,427,431,540,555,554,605,573,495,1832,1835,497,599,1841,484,2111,598,440,480,1862,1875,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,450,601,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425])).
% 54.42/54.16 cnf(2171,plain,
% 54.42/54.16 (P9(a69,x21711,x21711)),
% 54.42/54.16 inference(rename_variables,[],[448])).
% 54.42/54.16 cnf(2173,plain,
% 54.42/54.16 (~P9(a69,f11(a69,f13(f11(a68,f26(a69,f2(a69)),f3(a68))),f11(a69,f2(a69),f11(a69,x21731,f2(a69)))),x21731)),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,448,1868,1901,1947,2105,2158,2171,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,223,228,247,249,266,269,272,274,288,313,319,328,329,330,331,348,349,356,376,377,378,384,387,388,389,390,392,393,394,396,397,398,399,403,404,405,463,1920,1923,2106,2129,2145,592,1993,2148,453,455,577,578,582,437,436,473,474,584,585,593,504,586,427,431,540,555,554,605,573,495,1832,1835,497,599,1841,484,2111,598,440,480,1862,1875,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,450,601,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424])).
% 54.42/54.16 cnf(2174,plain,
% 54.42/54.16 (P9(a69,x21741,x21741)),
% 54.42/54.16 inference(rename_variables,[],[448])).
% 54.42/54.16 cnf(2176,plain,
% 54.42/54.16 (~P10(a68,f7(a68,f11(a68,x21761,f11(a68,f26(a69,f24(f3(a68))),f3(a68)))),x21761)),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,448,1868,1901,1947,2105,2158,2171,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,223,228,247,249,266,269,272,274,288,313,319,328,329,330,331,348,349,356,376,377,378,384,387,388,389,390,392,393,394,396,397,398,399,403,404,405,463,1920,1923,2106,2129,2145,592,1993,2148,453,455,577,578,582,437,436,473,474,584,585,593,504,586,427,431,540,555,554,605,573,495,1832,1835,497,599,1841,484,2111,598,440,480,1862,1875,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,450,601,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559])).
% 54.42/54.16 cnf(2177,plain,
% 54.42/54.16 (~P10(a68,f11(a68,f7(a68,x21771),f3(a68)),x21771)),
% 54.42/54.16 inference(rename_variables,[],[602])).
% 54.42/54.16 cnf(2178,plain,
% 54.42/54.16 (P10(a68,x21781,f11(a68,f26(a69,f24(x21781)),f3(a68)))),
% 54.42/54.16 inference(rename_variables,[],[515])).
% 54.42/54.16 cnf(2180,plain,
% 54.42/54.16 (~P9(a68,f7(a68,f11(a68,x21801,f11(a68,f26(a69,f24(f3(a68))),f3(a68)))),x21801)),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,448,1868,1901,1947,2105,2158,2171,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,223,228,247,249,266,269,272,274,288,313,319,328,329,330,331,348,349,356,376,377,378,384,387,388,389,390,392,393,394,396,397,398,399,403,404,405,463,1920,1923,2106,2129,2145,592,1993,2148,453,455,577,578,582,437,436,473,474,584,585,593,504,586,427,431,540,555,554,605,573,495,1832,1835,497,599,1841,484,2111,598,440,480,1862,1875,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558])).
% 54.42/54.16 cnf(2181,plain,
% 54.42/54.16 (~P10(a68,f11(a68,f7(a68,x21811),f3(a68)),x21811)),
% 54.42/54.16 inference(rename_variables,[],[602])).
% 54.42/54.16 cnf(2182,plain,
% 54.42/54.16 (P10(a68,x21821,f11(a68,f26(a69,f24(x21821)),f3(a68)))),
% 54.42/54.16 inference(rename_variables,[],[515])).
% 54.42/54.16 cnf(2184,plain,
% 54.42/54.16 (~P9(a69,f11(a69,x21841,f11(a69,f4(a1,a73),x21842)),x21842)),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,448,1868,1901,1947,2105,2158,2171,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,223,228,247,249,266,269,272,274,288,313,319,328,329,330,331,348,349,356,376,377,378,384,385,387,388,389,390,392,393,394,396,397,398,399,403,404,405,463,1920,1923,2106,2129,2145,592,1993,2148,453,455,577,578,582,437,436,473,474,584,585,593,504,586,427,431,540,555,554,605,573,495,1832,1835,497,599,1841,484,2111,598,440,480,1862,1875,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557])).
% 54.42/54.16 cnf(2189,plain,
% 54.42/54.16 (P9(a68,x21891,f26(a69,f13(x21891)))),
% 54.42/54.16 inference(rename_variables,[],[480])).
% 54.42/54.16 cnf(2190,plain,
% 54.42/54.16 (P9(a68,f2(a68),f26(a69,x21901))),
% 54.42/54.16 inference(rename_variables,[],[479])).
% 54.42/54.16 cnf(2192,plain,
% 54.42/54.16 (P10(a68,f53(f53(f10(a68),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74))),f25(a68,f53(f53(f20(a68),a81),a78))),f53(f53(f10(a68),f3(a68)),f25(a68,f53(f53(f20(a68),a81),a78))))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,448,1868,1901,1947,2105,2158,2171,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,223,228,247,249,266,269,272,274,288,313,319,328,329,330,331,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,396,397,398,399,403,404,405,463,1920,1923,2106,2129,2145,592,1993,2148,453,455,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,497,599,1841,484,2111,479,598,440,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734])).
% 54.42/54.16 cnf(2195,plain,
% 54.42/54.16 (E(f13(f26(a69,x21951)),x21951)),
% 54.42/54.16 inference(rename_variables,[],[440])).
% 54.42/54.16 cnf(2198,plain,
% 54.42/54.16 (~P10(a68,f11(a68,f7(a68,x21981),f3(a68)),x21981)),
% 54.42/54.16 inference(rename_variables,[],[602])).
% 54.42/54.16 cnf(2203,plain,
% 54.42/54.16 (P9(a69,x22031,x22031)),
% 54.42/54.16 inference(rename_variables,[],[448])).
% 54.42/54.16 cnf(2210,plain,
% 54.42/54.16 (P9(a68,x22101,x22101)),
% 54.42/54.16 inference(rename_variables,[],[447])).
% 54.42/54.16 cnf(2215,plain,
% 54.42/54.16 (E(f11(a69,x22151,x22152),f11(a69,x22152,x22151))),
% 54.42/54.16 inference(rename_variables,[],[484])).
% 54.42/54.16 cnf(2218,plain,
% 54.42/54.16 (P9(a69,f2(a69),x22181)),
% 54.42/54.16 inference(rename_variables,[],[463])).
% 54.42/54.16 cnf(2224,plain,
% 54.42/54.16 (P9(a70,f9(a70,f3(a70)),f3(a70))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,223,228,247,249,250,265,266,269,272,274,288,313,319,328,329,330,331,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,396,397,398,399,403,404,405,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,497,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926])).
% 54.42/54.16 cnf(2230,plain,
% 54.42/54.16 (P13(a1,x22301,x22301)),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,219,223,228,247,249,250,265,266,269,272,274,288,313,319,328,329,330,331,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,396,397,398,399,403,404,405,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,497,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760])).
% 54.42/54.16 cnf(2238,plain,
% 54.42/54.16 (P10(a69,f2(a69),f4(a1,f11(a68,f2(f72(a1)),f3(a68))))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,219,223,228,247,249,250,265,266,269,272,274,288,313,319,328,329,330,331,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,497,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749])).
% 54.42/54.16 cnf(2240,plain,
% 54.42/54.16 (P9(a70,f11(a70,f8(a70,f11(a70,f2(a70),f3(a70)),f3(a70)),f3(a70)),f11(a70,f2(a70),f3(a70)))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,219,223,228,247,249,250,265,266,269,272,274,288,313,319,328,329,330,331,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,497,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276])).
% 54.42/54.16 cnf(2250,plain,
% 54.42/54.16 (P9(a69,f8(a69,x22501,x22502),f11(a69,x22503,x22501))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,219,223,228,247,249,250,265,266,269,272,274,288,313,319,328,329,330,331,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251])).
% 54.42/54.16 cnf(2254,plain,
% 54.42/54.16 (~P10(a68,f27(a1,x22541),f2(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,219,223,228,247,249,250,265,266,269,272,274,288,313,319,328,329,330,331,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989])).
% 54.42/54.16 cnf(2258,plain,
% 54.42/54.16 (P13(a1,x22581,f2(a1))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,219,223,228,247,249,250,265,266,269,272,274,288,313,319,328,329,330,331,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776])).
% 54.42/54.16 cnf(2262,plain,
% 54.42/54.16 (E(f53(f53(f20(a68),x22621),f3(a69)),x22621)),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,319,328,329,330,331,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762])).
% 54.42/54.16 cnf(2276,plain,
% 54.42/54.16 (P40(f77(x22761,a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,319,328,329,330,331,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700])).
% 54.42/54.16 cnf(2280,plain,
% 54.42/54.16 (P60(f72(a1))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,319,328,329,330,331,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666])).
% 54.42/54.16 cnf(2284,plain,
% 54.42/54.16 (P37(f72(a1))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,319,328,329,330,331,335,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664])).
% 54.42/54.16 cnf(2296,plain,
% 54.42/54.16 (P36(f72(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,319,328,329,330,331,335,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658])).
% 54.42/54.16 cnf(2298,plain,
% 54.42/54.16 (P32(f72(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,319,328,329,330,331,335,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657])).
% 54.42/54.16 cnf(2302,plain,
% 54.42/54.16 (P34(f72(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,319,328,329,330,331,335,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655])).
% 54.42/54.16 cnf(2304,plain,
% 54.42/54.16 (P33(f72(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,319,328,329,330,331,335,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654])).
% 54.42/54.16 cnf(2306,plain,
% 54.42/54.16 (P26(f72(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,319,328,329,330,331,335,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653])).
% 54.42/54.16 cnf(2322,plain,
% 54.42/54.16 (P30(f72(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,319,328,329,330,331,335,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645])).
% 54.42/54.16 cnf(2326,plain,
% 54.42/54.16 (P52(f72(a1))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643])).
% 54.42/54.16 cnf(2334,plain,
% 54.42/54.16 (P24(f72(a1))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639])).
% 54.42/54.16 cnf(2336,plain,
% 54.42/54.16 (P77(f72(a1))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638])).
% 54.42/54.16 cnf(2338,plain,
% 54.42/54.16 (P76(f72(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637])).
% 54.42/54.16 cnf(2340,plain,
% 54.42/54.16 (P29(f72(a1))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636])).
% 54.42/54.16 cnf(2342,plain,
% 54.42/54.16 (P51(f72(a1))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635])).
% 54.42/54.16 cnf(2344,plain,
% 54.42/54.16 (P59(f72(a1))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634])).
% 54.42/54.16 cnf(2348,plain,
% 54.42/54.16 (P67(f72(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632])).
% 54.42/54.16 cnf(2356,plain,
% 54.42/54.16 (P73(f72(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628])).
% 54.42/54.16 cnf(2358,plain,
% 54.42/54.16 (P62(f72(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627])).
% 54.42/54.16 cnf(2366,plain,
% 54.42/54.16 (P79(f72(a1))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623])).
% 54.42/54.16 cnf(2368,plain,
% 54.42/54.16 (P57(f72(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622])).
% 54.42/54.16 cnf(2370,plain,
% 54.42/54.16 (P72(f72(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621])).
% 54.42/54.16 cnf(2372,plain,
% 54.42/54.16 (P71(f72(a1))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620])).
% 54.42/54.16 cnf(2382,plain,
% 54.42/54.16 (P70(f72(a1))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615])).
% 54.42/54.16 cnf(2386,plain,
% 54.42/54.16 (P69(f72(a1))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613])).
% 54.42/54.16 cnf(2388,plain,
% 54.42/54.16 (P68(f72(a1))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612])).
% 54.42/54.16 cnf(2390,plain,
% 54.42/54.16 (P63(f72(a1))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611])).
% 54.42/54.16 cnf(2392,plain,
% 54.42/54.16 (P28(f72(a1))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610])).
% 54.42/54.16 cnf(2396,plain,
% 54.42/54.16 (P49(f72(a1))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608])).
% 54.42/54.16 cnf(2400,plain,
% 54.42/54.16 (P10(a70,f8(a70,x24001,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x24001,x24002)),f3(a70))),f3(a70))),x24002)),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803])).
% 54.42/54.16 cnf(2402,plain,
% 54.42/54.16 (P10(a70,x24021,f11(a70,x24022,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x24022,x24021)),f3(a70))),f3(a70))))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802])).
% 54.42/54.16 cnf(2404,plain,
% 54.42/54.16 (P9(a68,f26(a69,f8(a69,f57(f2(a68)),f3(a69))),f2(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514])).
% 54.42/54.16 cnf(2405,plain,
% 54.42/54.16 (P9(a68,x24051,x24051)),
% 54.42/54.16 inference(rename_variables,[],[447])).
% 54.42/54.16 cnf(2407,plain,
% 54.42/54.16 (P9(a68,f26(a69,f24(f26(a69,x24071))),f26(a69,x24071))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084])).
% 54.42/54.16 cnf(2410,plain,
% 54.42/54.16 (P9(a68,x24101,x24101)),
% 54.42/54.16 inference(rename_variables,[],[447])).
% 54.42/54.16 cnf(2412,plain,
% 54.42/54.16 (P9(a68,f26(a69,f3(a69)),f3(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059])).
% 54.42/54.16 cnf(2414,plain,
% 54.42/54.16 (P10(a68,f39(a81),f3(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052])).
% 54.42/54.16 cnf(2417,plain,
% 54.42/54.16 (P9(a68,x24171,x24171)),
% 54.42/54.16 inference(rename_variables,[],[447])).
% 54.42/54.16 cnf(2421,plain,
% 54.42/54.16 (~P9(a68,f26(a69,f4(a1,f11(a68,f2(f72(a1)),f3(a68)))),f2(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982])).
% 54.42/54.16 cnf(2423,plain,
% 54.42/54.16 (~E(f11(a69,f4(a1,f11(a68,f2(f72(a1)),f3(a68))),x24231),f2(a69))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873])).
% 54.42/54.16 cnf(2425,plain,
% 54.42/54.16 (~E(f11(a69,x24251,f4(a1,f11(a68,f2(f72(a1)),f3(a68)))),f2(a69))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872])).
% 54.42/54.16 cnf(2431,plain,
% 54.42/54.16 (P9(a68,f2(a68),f27(a1,x24311))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,207,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858])).
% 54.42/54.16 cnf(2435,plain,
% 54.42/54.16 (P9(a68,f26(a69,f13(f2(a68))),f2(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,207,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835])).
% 54.42/54.16 cnf(2445,plain,
% 54.42/54.16 (~E(f26(a69,f4(a1,f11(a68,f2(f72(a1)),f3(a68)))),f2(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,207,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671])).
% 54.42/54.16 cnf(2449,plain,
% 54.42/54.16 (~P10(a69,f2(a69),f53(f53(f10(a69),f2(a69)),x24491))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,589,1838,1895,1898,1943,2102,2165,207,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333])).
% 54.42/54.16 cnf(2450,plain,
% 54.42/54.16 (~P10(a69,x24501,x24501)),
% 54.42/54.16 inference(rename_variables,[],[589])).
% 54.42/54.16 cnf(2453,plain,
% 54.42/54.16 (~P10(a69,x24531,x24531)),
% 54.42/54.16 inference(rename_variables,[],[589])).
% 54.42/54.16 cnf(2455,plain,
% 54.42/54.16 (P10(a70,f2(a70),f11(a70,f3(a70),f2(a70)))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,1939,589,1838,1895,1898,1943,2102,2165,2450,207,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290])).
% 54.42/54.16 cnf(2456,plain,
% 54.42/54.16 (P9(a70,x24561,x24561)),
% 54.42/54.16 inference(rename_variables,[],[449])).
% 54.42/54.16 cnf(2465,plain,
% 54.42/54.16 (P9(a70,x24651,x24651)),
% 54.42/54.16 inference(rename_variables,[],[449])).
% 54.42/54.16 cnf(2467,plain,
% 54.42/54.16 (~P10(a68,f2(a68),f26(a69,f2(a69)))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,207,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109])).
% 54.42/54.16 cnf(2468,plain,
% 54.42/54.16 (~P10(a69,x24681,x24681)),
% 54.42/54.16 inference(rename_variables,[],[589])).
% 54.42/54.16 cnf(2476,plain,
% 54.42/54.16 (P10(a68,f2(a68),f39(a81))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,207,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054])).
% 54.42/54.16 cnf(2479,plain,
% 54.42/54.16 (P9(a68,x24791,x24791)),
% 54.42/54.16 inference(rename_variables,[],[447])).
% 54.42/54.16 cnf(2546,plain,
% 54.42/54.16 (E(f7(x25461,f4(a1,a32)),f7(x25461,f4(a1,a73)))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,207,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47])).
% 54.42/54.16 cnf(2575,plain,
% 54.42/54.16 (E(f8(x25751,x25752,f4(a1,a32)),f8(x25751,x25752,f4(a1,a73)))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,207,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18])).
% 54.42/54.16 cnf(2576,plain,
% 54.42/54.16 (E(f8(x25761,f4(a1,a32),x25762),f8(x25761,f4(a1,a73),x25762))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,448,1868,1901,1947,2105,2158,2171,2174,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,207,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17])).
% 54.42/54.16 cnf(2591,plain,
% 54.42/54.16 (P9(a69,x25911,f8(a69,f11(a69,x25912,x25911),x25912))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,207,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,592,1993,2148,2151,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560])).
% 54.42/54.16 cnf(2598,plain,
% 54.42/54.16 (P9(a68,x25981,x25981)),
% 54.42/54.16 inference(rename_variables,[],[447])).
% 54.42/54.16 cnf(2601,plain,
% 54.42/54.16 (P9(a68,x26011,x26011)),
% 54.42/54.16 inference(rename_variables,[],[447])).
% 54.42/54.16 cnf(2604,plain,
% 54.42/54.16 (P9(a68,x26041,x26041)),
% 54.42/54.16 inference(rename_variables,[],[447])).
% 54.42/54.16 cnf(2612,plain,
% 54.42/54.16 (P9(a69,f8(a69,f2(a69),x26121),f8(a69,x26122,x26121))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,207,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419])).
% 54.42/54.16 cnf(2636,plain,
% 54.42/54.16 (~P10(a68,f53(f53(f10(a68),x26361),x26361),f2(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,207,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,289,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297])).
% 54.42/54.16 cnf(2642,plain,
% 54.42/54.16 (P9(a68,f9(a68,f7(a68,x26421)),x26421)),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,207,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,289,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160])).
% 54.42/54.16 cnf(2643,plain,
% 54.42/54.16 (P9(a68,x26431,x26431)),
% 54.42/54.16 inference(rename_variables,[],[447])).
% 54.42/54.16 cnf(2645,plain,
% 54.42/54.16 (P10(a68,f26(a69,f11(a69,a78,f3(a69))),f26(a69,f4(a1,a73)))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,207,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,289,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116])).
% 54.42/54.16 cnf(2649,plain,
% 54.42/54.16 (P10(a68,x26491,f11(a68,x26491,f3(a68)))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,207,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,289,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108])).
% 54.42/54.16 cnf(2651,plain,
% 54.42/54.16 (P9(a68,f2(a68),f53(f53(f10(a68),x26511),x26511))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,207,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,289,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075])).
% 54.42/54.16 cnf(2659,plain,
% 54.42/54.16 (~E(f11(a69,x26591,f2(a1)),f11(a69,x26591,a83))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,207,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,289,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066])).
% 54.42/54.16 cnf(2665,plain,
% 54.42/54.16 (~P10(a68,f7(a68,x26651),f2(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,207,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,289,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019])).
% 54.42/54.16 cnf(2679,plain,
% 54.42/54.16 (~P9(a68,f3(a68),f2(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,207,209,213,216,219,223,228,247,249,250,265,266,269,272,274,288,289,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936])).
% 54.42/54.16 cnf(2695,plain,
% 54.42/54.16 (P9(a68,f2(a68),f3(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,207,209,213,216,219,223,224,228,247,249,250,265,266,269,272,274,288,289,313,316,319,328,329,330,331,335,341,344,348,349,356,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807])).
% 54.42/54.16 cnf(2707,plain,
% 54.42/54.16 (E(f11(a68,f2(a68),x27071),x27071)),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,207,209,213,216,219,223,224,228,247,249,250,259,265,266,269,272,274,288,289,313,316,319,328,329,330,331,335,341,344,345,348,349,356,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783])).
% 54.42/54.16 cnf(2733,plain,
% 54.42/54.16 (E(f9(a1,f9(a1,x27331)),x27331)),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,205,207,209,213,216,219,220,223,224,228,230,247,249,250,259,265,266,269,272,274,288,289,313,316,319,328,329,330,331,335,341,344,345,348,349,356,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725])).
% 54.42/54.16 cnf(2750,plain,
% 54.42/54.16 (P9(a68,x27501,x27501)),
% 54.42/54.16 inference(rename_variables,[],[447])).
% 54.42/54.16 cnf(2752,plain,
% 54.42/54.16 (~P10(a70,f11(a70,f11(a70,f3(a70),f3(a70)),f3(a70)),f2(a70))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,205,207,209,213,216,219,220,223,224,228,230,242,247,249,250,259,265,266,269,272,274,288,289,313,316,319,328,329,330,331,335,341,344,345,348,349,356,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711])).
% 54.42/54.16 cnf(2759,plain,
% 54.42/54.16 (~P10(a69,x27591,x27591)),
% 54.42/54.16 inference(rename_variables,[],[589])).
% 54.42/54.16 cnf(2762,plain,
% 54.42/54.16 (~P10(a69,x27621,x27621)),
% 54.42/54.16 inference(rename_variables,[],[589])).
% 54.42/54.16 cnf(2773,plain,
% 54.42/54.16 (P9(a68,x27731,x27731)),
% 54.42/54.16 inference(rename_variables,[],[447])).
% 54.42/54.16 cnf(2776,plain,
% 54.42/54.16 (P9(a68,x27761,x27761)),
% 54.42/54.16 inference(rename_variables,[],[447])).
% 54.42/54.16 cnf(2779,plain,
% 54.42/54.16 (~P10(a69,x27791,x27791)),
% 54.42/54.16 inference(rename_variables,[],[589])).
% 54.42/54.16 cnf(2782,plain,
% 54.42/54.16 (~P10(a69,x27821,x27821)),
% 54.42/54.16 inference(rename_variables,[],[589])).
% 54.42/54.16 cnf(2785,plain,
% 54.42/54.16 (P9(a68,x27851,x27851)),
% 54.42/54.16 inference(rename_variables,[],[447])).
% 54.42/54.16 cnf(2788,plain,
% 54.42/54.16 (P9(a68,x27881,x27881)),
% 54.42/54.16 inference(rename_variables,[],[447])).
% 54.42/54.16 cnf(2790,plain,
% 54.42/54.16 (P10(a69,f2(a69),f8(a69,f4(a1,a73),f11(a69,a78,f3(a69))))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,205,207,209,213,216,219,220,223,224,228,230,242,247,249,250,259,265,266,269,272,274,288,289,313,316,319,328,329,330,331,335,341,344,345,348,349,356,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269])).
% 54.42/54.16 cnf(2794,plain,
% 54.42/54.16 (E(f53(f53(f10(a69),f13(f2(a68))),x27941),f53(f53(f10(a69),f13(f2(a68))),x27942))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,205,207,209,213,216,219,220,223,224,228,230,242,247,249,250,259,265,266,269,272,274,288,289,313,316,319,328,329,330,331,335,341,344,345,348,349,356,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905])).
% 54.42/54.16 cnf(2798,plain,
% 54.42/54.16 (~P10(a68,f2(a68),f53(f53(f10(a68),f25(a68,f2(a68))),f25(a68,f2(a68))))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,205,207,209,213,216,219,220,223,224,228,230,242,247,249,250,259,265,266,269,272,274,288,289,313,316,319,328,329,330,331,335,341,344,345,348,349,356,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245])).
% 54.42/54.16 cnf(2800,plain,
% 54.42/54.16 (P10(a68,f2(a68),f53(f53(f10(a68),f3(a68)),f3(a68)))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,205,207,209,213,216,219,220,223,224,228,230,242,247,249,250,259,265,266,269,272,274,288,289,313,316,319,328,329,330,331,335,341,344,345,348,349,356,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034])).
% 54.42/54.16 cnf(2808,plain,
% 54.42/54.16 (~P10(a68,f11(a68,x28081,f11(a68,f7(a68,f9(a68,x28081)),f3(a68))),f2(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,205,207,209,213,215,216,219,220,223,224,228,230,242,247,249,250,259,265,266,269,272,274,288,289,313,316,319,328,329,330,331,335,341,344,345,348,349,356,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389])).
% 54.42/54.16 cnf(2810,plain,
% 54.42/54.16 (~P9(a68,f11(a68,x28101,f7(a68,f11(a68,f9(a68,x28101),f11(a68,f26(a69,f24(f3(a68))),f3(a68))))),f2(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,205,207,209,213,215,216,219,220,223,224,228,230,242,247,249,250,259,265,266,269,272,274,288,289,313,316,319,328,329,330,331,335,341,344,345,348,349,356,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388])).
% 54.42/54.16 cnf(2813,plain,
% 54.42/54.16 (P9(a68,x28131,x28131)),
% 54.42/54.16 inference(rename_variables,[],[447])).
% 54.42/54.16 cnf(2835,plain,
% 54.42/54.16 (E(f11(a69,x28351,f30(x28351,x28351)),x28351)),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,205,207,209,210,211,213,215,216,219,220,223,224,228,230,242,247,249,250,259,265,266,269,272,274,288,289,313,316,319,328,329,330,331,335,341,344,345,348,349,356,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063])).
% 54.42/54.16 cnf(2837,plain,
% 54.42/54.16 (E(f11(a69,x28371,f63(x28371,x28371)),x28371)),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,205,207,209,210,211,213,215,216,219,220,223,224,228,230,242,247,249,250,259,265,266,269,272,274,288,289,313,316,319,328,329,330,331,335,341,344,345,348,349,356,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062])).
% 54.42/54.16 cnf(2859,plain,
% 54.42/54.16 (E(f11(a68,f9(a68,x28591),x28591),f2(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,205,207,209,210,211,213,215,216,219,220,223,224,228,230,242,247,249,250,259,265,266,269,272,274,288,289,313,316,319,328,329,330,331,335,341,344,345,348,349,356,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877])).
% 54.42/54.16 cnf(2885,plain,
% 54.42/54.16 (E(f11(a68,x28851,f13(f26(a69,f9(a68,x28851)))),f2(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,205,207,209,210,211,213,215,216,219,220,223,224,228,230,242,247,249,250,259,265,266,269,272,274,288,289,313,316,319,328,329,330,331,335,341,344,345,348,349,356,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,2195,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818])).
% 54.42/54.16 cnf(2886,plain,
% 54.42/54.16 (E(f13(f26(a69,x28861)),x28861)),
% 54.42/54.16 inference(rename_variables,[],[440])).
% 54.42/54.16 cnf(2925,plain,
% 54.42/54.16 (P10(a68,x29251,f11(a68,f26(a69,f24(x29251)),f3(a68)))),
% 54.42/54.16 inference(rename_variables,[],[515])).
% 54.42/54.16 cnf(2971,plain,
% 54.42/54.16 (P9(a69,f8(a69,f11(a69,x29711,x29712),x29712),x29711)),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,205,207,209,210,211,213,215,216,219,220,223,224,228,230,234,242,246,247,249,250,259,265,266,269,272,274,287,288,289,313,316,319,328,329,330,331,335,341,344,345,348,349,352,356,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,2195,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497])).
% 54.42/54.16 cnf(2973,plain,
% 54.42/54.16 (P9(a69,x29731,f11(a69,f11(a69,x29732,f8(a69,x29731,x29733)),x29733))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,205,207,209,210,211,213,215,216,219,220,223,224,228,230,234,242,246,247,249,250,259,265,266,269,272,274,287,288,289,313,316,319,328,329,330,331,335,341,344,345,348,349,352,356,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,2195,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495])).
% 54.42/54.16 cnf(3047,plain,
% 54.42/54.16 (~E(f53(f14(a1,a79),f52(f14(a1,a79))),f53(f14(a1,a79),f55(f14(a1,a79))))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,205,207,209,210,211,213,215,216,219,220,223,224,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,287,288,289,313,316,319,328,329,330,331,335,341,344,345,348,349,352,356,364,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,2195,480,1862,1875,1881,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958])).
% 54.42/54.16 cnf(3173,plain,
% 54.42/54.16 (P13(f72(a1),f53(f53(f20(f72(a1)),f17(a1,f9(a1,x31731),f17(a1,f3(a1),f2(f72(a1))))),f18(a1,x31731,x31732)),x31732)),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,205,207,208,209,210,211,213,215,216,219,220,223,224,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,283,287,288,289,313,316,319,325,328,329,330,331,335,341,344,345,348,349,352,356,364,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,2195,480,1862,1875,1881,2189,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788])).
% 54.42/54.16 cnf(3187,plain,
% 54.42/54.16 (~E(a1,x31871)+P77(x31871)),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,205,207,208,209,210,211,213,215,216,219,220,223,224,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,283,287,288,289,313,316,319,325,328,329,330,331,335,341,344,345,348,349,352,356,364,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,2195,480,1862,1875,1881,2189,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204])).
% 54.42/54.16 cnf(3189,plain,
% 54.42/54.16 (~P12(f24(f26(a69,a68)),f2(f72(a68)))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,205,207,208,209,210,211,213,215,216,219,220,223,224,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,283,287,288,289,313,316,319,325,328,329,330,331,335,341,344,345,348,349,352,356,364,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172])).
% 54.42/54.16 cnf(3192,plain,
% 54.42/54.16 (~P11(a1,a1,f8(a69,f11(a69,f14(a1,a79),x31921),x31921))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,205,207,208,209,210,211,213,215,216,219,220,223,224,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,283,287,288,289,313,316,319,325,328,329,330,331,335,336,341,344,345,348,349,352,356,364,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145])).
% 54.42/54.16 cnf(3194,plain,
% 54.42/54.16 (~P11(f8(a69,f11(a69,x31941,a1),x31941),a1,f14(a1,a79))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,205,207,208,209,210,211,213,215,216,219,220,223,224,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,283,287,288,289,313,316,319,325,328,329,330,331,335,336,341,344,345,348,349,352,356,364,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143])).
% 54.42/54.16 cnf(3198,plain,
% 54.42/54.16 (~P9(a70,f53(f53(f20(a70),f7(a70,x31981)),x31982),f9(a70,f3(a70)))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,215,216,219,220,223,224,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,283,287,288,289,313,316,319,325,328,329,330,331,335,336,341,344,345,348,349,352,356,364,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211])).
% 54.42/54.16 cnf(3206,plain,
% 54.42/54.16 (E(f2(a68),f26(a69,f24(f2(a68))))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,215,216,219,220,223,224,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,283,287,288,289,313,316,319,325,328,329,330,331,335,336,341,344,345,348,349,352,356,364,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,552,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072])).
% 54.42/54.16 cnf(3208,plain,
% 54.42/54.16 (P9(a68,a81,f3(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,215,216,219,220,223,224,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,283,287,288,289,313,316,319,325,328,329,330,331,335,336,341,344,345,348,349,352,356,364,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,552,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028])).
% 54.42/54.16 cnf(3228,plain,
% 54.42/54.16 (~E(f53(f53(f10(a70),f3(a70)),f2(a70)),f3(a70))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,215,216,219,220,223,224,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,283,287,288,289,313,316,319,325,328,329,330,331,335,336,341,344,345,348,349,352,356,364,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,552,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068])).
% 54.42/54.16 cnf(3230,plain,
% 54.42/54.16 (~E(f53(f53(f10(a69),f4(a1,f11(a68,f2(f72(a1)),f3(a68)))),f4(a1,f11(a68,f2(f72(a1)),f3(a68)))),f2(a69))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,215,216,219,220,223,224,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,283,287,288,289,313,316,319,325,328,329,330,331,335,336,341,344,345,348,349,352,356,364,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,473,474,584,585,593,504,586,427,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,552,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834])).
% 54.42/54.16 cnf(3236,plain,
% 54.42/54.16 (~P10(a70,f2(a70),f53(f53(f20(a70),f7(a70,f9(a70,f2(a70)))),f4(a1,f11(a68,f2(f72(a1)),f3(a68)))))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,215,216,219,220,223,224,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,283,287,288,289,313,316,319,325,328,329,330,331,335,336,341,344,345,348,349,352,356,364,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,552,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477])).
% 54.42/54.16 cnf(3240,plain,
% 54.42/54.16 (P9(a70,f2(a70),f11(a70,f2(a70),f2(a70)))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,215,216,219,220,223,224,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,283,287,288,289,313,316,319,325,328,329,330,331,335,336,341,344,345,348,349,352,356,364,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,552,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407])).
% 54.42/54.16 cnf(3244,plain,
% 54.42/54.16 (P10(a68,f2(a68),f53(f53(f10(a68),a81),a81))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,215,216,219,220,223,224,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,283,287,288,289,313,316,319,325,328,329,330,331,335,336,341,344,345,348,349,352,356,364,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,552,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378])).
% 54.42/54.16 cnf(3246,plain,
% 54.42/54.16 (P9(a70,f2(a70),f53(f53(f10(a70),f2(a70)),f2(a70)))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,215,216,219,220,223,224,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,283,287,288,289,313,316,319,325,328,329,330,331,335,336,341,344,345,348,349,352,356,364,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,552,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377])).
% 54.42/54.16 cnf(3252,plain,
% 54.42/54.16 (P13(a1,x32521,f9(a1,x32521))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,215,216,219,220,223,224,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,283,287,288,289,313,316,319,325,328,329,330,331,335,336,341,344,345,348,349,352,356,364,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,552,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133])).
% 54.42/54.16 cnf(3254,plain,
% 54.42/54.16 (P13(a1,f9(a1,x32541),x32541)),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,215,216,219,220,223,224,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,283,287,288,289,313,316,319,325,328,329,330,331,335,336,341,344,345,348,349,352,356,364,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,552,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128])).
% 54.42/54.16 cnf(3300,plain,
% 54.42/54.16 (~P9(a69,f53(f53(f10(a69),f13(f11(a68,f26(a69,f2(a69)),f3(a68)))),a78),f53(f53(f10(a69),f13(f11(a68,f26(a69,f2(a69)),f3(a68)))),f2(a69)))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,215,216,219,220,223,224,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,283,287,288,289,313,316,317,319,325,328,329,330,331,335,336,341,344,345,348,349,352,356,357,360,364,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,552,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627])).
% 54.42/54.16 cnf(3302,plain,
% 54.42/54.16 (~P9(a68,f53(f53(f10(a68),f27(a1,f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83))))),a81),f53(f53(f10(a68),f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74)))),a81))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,215,216,219,220,223,224,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,283,287,288,289,313,316,317,319,325,328,329,330,331,335,336,341,344,345,348,349,352,356,357,360,364,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,552,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625])).
% 54.42/54.16 cnf(3304,plain,
% 54.42/54.16 (~P9(a68,f53(f53(f10(a68),a81),f27(a1,f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83))))),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74)))))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,215,216,219,220,223,224,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,283,287,288,289,313,316,317,319,325,328,329,330,331,335,336,341,344,345,348,349,352,356,357,360,364,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,552,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624])).
% 54.42/54.16 cnf(3316,plain,
% 54.42/54.16 (~E(f53(f53(f10(a69),f13(f11(a68,f26(a69,f2(a69)),f3(a68)))),f2(a1)),f53(f53(f10(a69),f13(f11(a68,f26(a69,f2(a69)),f3(a68)))),a83))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,215,216,219,220,223,224,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,283,287,288,289,313,316,317,319,325,328,329,330,331,335,336,341,344,345,348,349,352,356,357,360,364,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,552,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244])).
% 54.42/54.16 cnf(3318,plain,
% 54.42/54.16 (~E(f53(f53(f10(a69),f4(a1,f11(a68,f2(f72(a1)),f3(a68)))),f4(a1,f11(a68,f2(f72(a1)),f3(a68)))),f53(f53(f10(a69),f2(a69)),f4(a1,f11(a68,f2(f72(a1)),f3(a68)))))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,215,216,219,220,223,224,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,283,287,288,289,313,316,317,319,325,328,329,330,331,335,336,341,344,345,348,349,352,356,357,360,364,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,552,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050])).
% 54.42/54.16 cnf(3332,plain,
% 54.42/54.16 (P10(a69,f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69))),f8(a69,f4(a1,a73),f11(a69,a78,f3(a69))))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,215,216,219,220,223,224,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,283,287,288,289,313,316,317,319,325,328,329,330,331,335,336,341,344,345,348,349,352,356,357,360,364,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,552,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540])).
% 54.42/54.16 cnf(3338,plain,
% 54.42/54.16 (P9(a70,f9(a70,f2(a70)),f2(a70))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,215,216,219,220,223,224,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,283,287,288,289,313,316,317,319,325,328,329,330,331,335,336,341,344,345,348,349,352,356,357,360,364,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,552,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121])).
% 54.42/54.16 cnf(3342,plain,
% 54.42/54.16 (P9(a70,f2(a70),f9(a70,f2(a70)))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,215,216,219,220,223,224,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,275,283,287,288,289,313,316,317,319,325,328,329,330,331,335,336,341,344,345,348,349,352,356,357,360,364,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,552,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119])).
% 54.42/54.16 cnf(3368,plain,
% 54.42/54.16 (P10(a68,f2(a68),f27(a68,f3(a68)))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,214,215,216,219,220,223,224,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,275,283,287,288,289,313,316,317,319,325,328,329,330,331,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,552,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886])).
% 54.42/54.16 cnf(3376,plain,
% 54.42/54.16 (~P9(a68,f11(a68,x33761,f27(a1,f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83))))),f11(a68,x33761,f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74)))))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,214,215,216,219,220,223,224,226,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,275,283,287,288,289,313,316,317,319,325,328,329,330,331,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,552,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602])).
% 54.42/54.16 cnf(3382,plain,
% 54.42/54.16 (P10(a69,f11(a69,x33821,f11(a69,a78,f3(a69))),f11(a69,x33821,f4(a1,a73)))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,214,215,216,219,220,223,224,226,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,275,283,287,288,289,313,316,317,319,325,328,329,330,331,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,552,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440])).
% 54.42/54.16 cnf(3384,plain,
% 54.42/54.16 (P9(f72(a68),f11(f72(a68),f4(a1,a32),x33841),f11(f72(a68),f4(a1,a73),x33841))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,214,215,216,219,220,223,224,226,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,275,283,287,288,289,313,316,317,319,325,328,329,330,331,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,552,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439])).
% 54.42/54.16 cnf(3386,plain,
% 54.42/54.16 (P9(f72(a68),f11(f72(a68),x33861,f4(a1,a32)),f11(f72(a68),x33861,f4(a1,a73)))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,214,215,216,219,220,223,224,226,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,275,283,287,288,289,313,316,317,319,325,328,329,330,331,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,552,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437])).
% 54.42/54.16 cnf(3388,plain,
% 54.42/54.16 (P13(a68,f53(f53(f20(a68),f11(a68,x33881,f9(a68,x33882))),x33883),f53(f53(f20(a68),f11(a68,x33882,f9(a68,x33881))),x33883))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,214,215,216,219,220,223,224,226,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,275,283,287,288,289,313,316,317,319,325,328,329,330,331,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,552,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431])).
% 54.42/54.16 cnf(3398,plain,
% 54.42/54.16 (P9(a70,f8(a70,f2(a70),f2(a70)),f2(a70))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,214,215,216,219,220,223,224,226,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,275,283,287,288,289,313,316,317,319,325,328,329,330,331,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,552,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294])).
% 54.42/54.16 cnf(3402,plain,
% 54.42/54.16 (~P9(a68,f9(a68,f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74)))),f9(a68,f27(a1,f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83))))))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,214,215,216,219,220,223,224,226,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,275,283,287,288,289,313,316,317,319,325,328,329,330,331,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,450,601,552,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223])).
% 54.42/54.16 cnf(3404,plain,
% 54.42/54.16 (P10(a68,f9(a68,f11(a68,f26(a69,f24(f9(a68,x34041))),f3(a68))),x34041)),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,214,215,216,219,220,223,224,226,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,275,283,287,288,289,313,316,317,319,325,328,329,330,331,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,528,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202])).
% 54.42/54.16 cnf(3408,plain,
% 54.42/54.16 (P9(a68,f9(a68,f9(a68,x34081)),x34081)),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,214,215,216,219,220,223,224,226,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,275,283,287,288,289,313,316,317,319,325,328,329,330,331,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198])).
% 54.42/54.16 cnf(3410,plain,
% 54.42/54.16 (P9(a68,x34101,f9(a68,f9(a68,x34101)))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,214,215,216,219,220,223,224,226,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,275,283,287,288,289,313,316,317,319,325,328,329,330,331,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194])).
% 54.42/54.16 cnf(3426,plain,
% 54.42/54.16 (P13(f72(a1),f53(f53(f20(f72(a1)),f17(a1,f9(a1,x34261),f17(a1,f3(a1),f2(f72(a1))))),f18(a1,x34261,x34262)),f22(a1,x34263,x34262))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,214,215,216,219,220,223,224,226,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,275,283,287,288,289,313,316,317,319,325,328,329,330,331,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315])).
% 54.42/54.16 cnf(3428,plain,
% 54.42/54.16 (P10(a68,f2(a68),f53(f53(f20(a68),a81),x34281))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,214,215,216,219,220,223,224,226,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,275,283,287,288,289,313,316,317,319,325,328,329,330,331,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305])).
% 54.42/54.16 cnf(3432,plain,
% 54.42/54.16 (P9(a70,f2(a70),f53(f53(f20(a70),f3(a70)),x34321))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,214,215,216,219,220,223,224,225,226,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,275,283,287,288,289,313,316,317,319,325,328,329,330,331,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303])).
% 54.42/54.16 cnf(3444,plain,
% 54.42/54.16 (P9(a70,f9(a70,f3(a70)),f2(a70))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,214,215,216,219,220,223,224,225,226,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,275,283,287,288,289,313,316,317,319,325,328,329,330,331,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,461,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,1956,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151])).
% 54.42/54.16 cnf(3452,plain,
% 54.42/54.16 (P10(a68,f25(a68,f9(a68,f11(a68,f26(a69,f24(f9(a68,f2(a68)))),f3(a68)))),f2(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,214,215,216,219,220,223,224,225,226,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,275,283,287,288,289,313,316,317,319,325,328,329,330,331,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,457,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,461,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,1956,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147])).
% 54.42/54.16 cnf(3474,plain,
% 54.42/54.16 (~E(f17(a68,f3(a68),x34741),f2(f72(a68)))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,214,215,216,219,220,223,224,225,226,228,230,234,242,246,247,249,250,259,265,266,269,270,272,274,275,283,287,288,289,313,316,317,319,320,325,328,329,330,331,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,461,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,1956,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943])).
% 54.42/54.16 cnf(3480,plain,
% 54.42/54.16 (~E(f12(a68,f26(a69,f24(f2(a68)))),f3(a68))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,214,215,216,219,220,223,224,225,226,228,230,234,242,246,247,249,250,253,259,265,266,269,270,272,274,275,283,287,288,289,313,316,317,319,320,325,328,329,330,331,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,461,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,1956,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892])).
% 54.42/54.16 cnf(3496,plain,
% 54.42/54.16 (E(f12(f72(a68),f13(f26(a69,f2(f72(a68))))),f2(f72(a68)))),
% 54.42/54.16 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,214,215,216,219,220,223,224,225,226,228,230,234,242,246,247,249,250,253,259,265,266,269,270,272,274,275,277,283,287,288,289,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,461,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,1956,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738])).
% 54.42/54.16 cnf(3516,plain,
% 54.42/54.16 (P14(a69,f53(f10(a69),f2(a69)))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,214,215,216,219,220,223,224,225,226,228,229,230,234,242,246,247,249,250,253,259,265,266,269,270,272,274,275,277,283,287,288,289,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,461,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,1956,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430])).
% 54.42/54.17 cnf(3520,plain,
% 54.42/54.17 (P10(a70,f11(a70,f8(a70,f3(a70),f11(a70,f3(a70),f3(a70))),f8(a70,f3(a70),f11(a70,f3(a70),f3(a70)))),f2(a70))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,214,215,216,219,220,223,224,225,226,228,229,230,234,242,246,247,249,250,253,259,265,266,269,270,272,274,275,277,283,287,288,289,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,461,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,1956,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313])).
% 54.42/54.17 cnf(3522,plain,
% 54.42/54.17 (P9(a70,f11(a70,f2(a70),f2(a70)),f2(a70))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,214,215,216,219,220,223,224,225,226,228,229,230,234,242,246,247,249,250,253,259,265,266,269,270,272,274,275,277,283,287,288,289,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,461,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,1956,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312])).
% 54.42/54.17 cnf(3534,plain,
% 54.42/54.17 (E(f11(a68,f25(a68,f2(a68)),f25(a68,f2(a68))),f2(a68))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,214,215,216,219,220,223,224,225,226,228,229,230,234,242,246,247,249,250,253,259,265,266,269,270,272,274,275,277,283,287,288,289,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,461,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,1956,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810])).
% 54.42/54.17 cnf(3536,plain,
% 54.42/54.17 (E(f53(f53(f10(a68),f26(a69,f3(a69))),f26(a69,f3(a69))),f3(a68))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,214,215,216,219,220,223,224,225,226,228,229,230,234,242,246,247,249,250,253,259,265,266,269,270,272,274,275,277,283,287,288,289,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,461,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,1956,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803])).
% 54.42/54.17 cnf(3540,plain,
% 54.42/54.17 (~E(f12(a68,f26(a69,x35401)),f9(a68,f3(a68)))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,213,214,215,216,219,220,223,224,225,226,228,229,230,234,242,246,247,249,250,253,259,265,266,269,270,272,274,275,277,283,287,288,289,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,491,540,555,554,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,461,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,1956,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973])).
% 54.42/54.17 cnf(3566,plain,
% 54.42/54.17 (~P9(a68,f11(a68,f53(f53(f10(a68),x35661),x35661),f53(f53(f10(a68),f3(a68)),f3(a68))),f2(a68))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,234,242,246,247,248,249,250,252,253,259,265,266,269,270,272,274,275,277,283,287,288,289,291,311,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,461,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,1956,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739])).
% 54.42/54.17 cnf(3582,plain,
% 54.42/54.17 (P9(a69,f11(a69,f53(f53(f10(a69),f11(a69,a78,f3(a69))),x35821),x35822),f11(a69,f53(f53(f10(a69),f11(a69,a78,f3(a69))),x35821),f11(a69,f2(a69),f11(a69,x35823,f11(a69,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x35821),x35822)))))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,234,242,246,247,248,249,250,252,253,259,265,266,269,270,272,274,275,277,283,287,288,289,291,292,311,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,484,2111,2114,461,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,1956,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791])).
% 54.42/54.17 cnf(3590,plain,
% 54.42/54.17 (E(f11(a69,f53(f53(f10(a69),f11(a69,a78,f3(a69))),x35901),x35902),f11(a69,f53(f53(f10(a69),f11(a69,a78,f3(a69))),x35901),f11(a69,x35902,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x35901))))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,234,242,246,247,248,249,250,252,253,259,265,266,269,270,272,274,275,277,283,287,288,289,291,292,311,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,461,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,467,1956,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763])).
% 54.42/54.17 cnf(3592,plain,
% 54.42/54.17 (E(f11(a69,f53(f53(f10(a69),f11(a69,a78,f3(a69))),x35921),x35922),f11(a69,f53(f53(f10(a69),f11(a69,a78,f3(a69))),x35921),f11(a70,f11(a69,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x35921),x35922),f2(a70))))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,234,242,246,247,248,249,250,252,253,259,265,266,269,270,272,274,275,277,283,287,288,289,291,292,311,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,461,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,465,467,1956,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763,1762])).
% 54.42/54.17 cnf(3614,plain,
% 54.42/54.17 (E(f11(a69,f53(f53(f10(a69),f8(a69,f2(a69),f2(a69))),x36141),f2(a69)),f2(a69))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,234,242,246,247,248,249,250,252,253,259,265,266,269,270,271,272,273,274,275,277,283,287,288,289,291,292,311,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,485,461,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,465,466,467,1956,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763,1762,1796,1795,1794,1793,1787,1786,1784,1761,1760,1170,1037])).
% 54.42/54.17 cnf(3616,plain,
% 54.42/54.17 (P10(a68,f2(a68),f26(a69,f4(a1,f11(a68,f2(f72(a1)),f3(a68)))))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,234,242,246,247,248,249,250,252,253,259,265,266,269,270,271,272,273,274,275,277,283,287,288,289,291,292,311,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,485,461,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,465,466,467,1956,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763,1762,1796,1795,1794,1793,1787,1786,1784,1761,1760,1170,1037,965])).
% 54.42/54.17 cnf(3617,plain,
% 54.42/54.17 (~P10(a68,f26(a69,x36171),f2(a68))),
% 54.42/54.17 inference(rename_variables,[],[598])).
% 54.42/54.17 cnf(3631,plain,
% 54.42/54.17 (P12(a68,f53(f53(f10(f72(a68)),f17(a68,a81,f13(f26(a69,f2(f72(a68)))))),f17(a68,a81,f13(f26(a69,f2(f72(a68)))))))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,234,242,246,247,248,249,250,252,253,259,265,266,269,270,271,272,273,274,275,277,283,287,288,289,291,292,311,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,485,461,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,465,466,467,1956,468,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763,1762,1796,1795,1794,1793,1787,1786,1784,1761,1760,1170,1037,965,1726,1032,1591,1725,1413,1412,1207])).
% 54.42/54.17 cnf(3633,plain,
% 54.42/54.17 (P12(a68,f11(f72(a68),f17(a68,a81,f13(f26(a69,f2(f72(a68))))),f17(a68,a81,f13(f26(a69,f2(f72(a68)))))))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,234,242,246,247,248,249,250,252,253,259,265,266,269,270,271,272,273,274,275,277,283,287,288,289,291,292,311,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,485,461,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,465,466,467,1956,468,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763,1762,1796,1795,1794,1793,1787,1786,1784,1761,1760,1170,1037,965,1726,1032,1591,1725,1413,1412,1207,1125])).
% 54.42/54.17 cnf(3645,plain,
% 54.42/54.17 (~P9(a70,f53(f53(f20(a70),f11(a70,f3(a70),f3(a70))),a78),f53(f53(f20(a70),f11(a70,f3(a70),f3(a70))),f2(a69)))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,234,242,246,247,248,249,250,252,253,255,259,265,266,269,270,271,272,273,274,275,277,283,287,288,289,291,292,311,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,338,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,485,461,479,2190,598,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,465,466,467,1956,468,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763,1762,1796,1795,1794,1793,1787,1786,1784,1761,1760,1170,1037,965,1726,1032,1591,1725,1413,1412,1207,1125,1124,754,838,1580,1432,1672])).
% 54.42/54.17 cnf(3665,plain,
% 54.42/54.17 (P10(a68,f53(f53(f10(a68),f25(a68,f53(f53(f20(a68),a81),a78))),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74))),f53(f53(f10(a68),f25(a68,f53(f53(f20(a68),a81),a78))),f3(a68)))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,234,242,246,247,248,249,250,252,253,255,259,265,266,269,270,271,272,273,274,275,277,283,287,288,289,291,292,311,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,338,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,485,461,479,2190,598,3617,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,465,466,467,1956,468,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763,1762,1796,1795,1794,1793,1787,1786,1784,1761,1760,1170,1037,965,1726,1032,1591,1725,1413,1412,1207,1125,1124,754,838,1580,1432,1672,1555,1553,1317,1309,1643,1642,1375,1373,1354,1743])).
% 54.42/54.17 cnf(3673,plain,
% 54.42/54.17 (~P9(a68,f53(f53(f10(a68),f27(a1,f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83))))),a74),f53(f53(f10(a68),f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74)))),a74))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,234,242,246,247,248,249,250,252,253,255,259,265,266,269,270,271,272,273,274,275,277,283,287,288,289,291,292,305,311,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,338,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,485,461,479,2190,598,3617,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,465,466,467,1956,468,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763,1762,1796,1795,1794,1793,1787,1786,1784,1761,1760,1170,1037,965,1726,1032,1591,1725,1413,1412,1207,1125,1124,754,838,1580,1432,1672,1555,1553,1317,1309,1643,1642,1375,1373,1354,1743,1732,1683,1573,1679])).
% 54.42/54.17 cnf(3675,plain,
% 54.42/54.17 (~P9(a68,f53(f53(f10(a68),a74),f27(a1,f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83))))),f53(f53(f10(a68),a74),f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74)))))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,234,242,246,247,248,249,250,252,253,255,259,265,266,269,270,271,272,273,274,275,277,283,287,288,289,291,292,305,311,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,338,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,485,461,479,2190,598,3617,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,465,466,467,1956,468,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763,1762,1796,1795,1794,1793,1787,1786,1784,1761,1760,1170,1037,965,1726,1032,1591,1725,1413,1412,1207,1125,1124,754,838,1580,1432,1672,1555,1553,1317,1309,1643,1642,1375,1373,1354,1743,1732,1683,1573,1679,1678])).
% 54.42/54.17 cnf(3681,plain,
% 54.42/54.17 (~P9(a70,f53(f53(f10(a70),f8(a70,x36811,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x36811,f2(a70))),f3(a70))),f3(a70)))),f2(a70)),f53(f53(f10(a70),f8(a70,x36811,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x36811,f2(a70))),f3(a70))),f3(a70)))),f3(a70)))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,234,242,246,247,248,249,250,252,253,255,259,265,266,269,270,271,272,273,274,275,277,283,287,288,289,291,292,305,311,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,338,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,485,461,479,2190,598,3617,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,465,466,467,1956,468,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763,1762,1796,1795,1794,1793,1787,1786,1784,1761,1760,1170,1037,965,1726,1032,1591,1725,1413,1412,1207,1125,1124,754,838,1580,1432,1672,1555,1553,1317,1309,1643,1642,1375,1373,1354,1743,1732,1683,1573,1679,1678,1677,1676,1675])).
% 54.42/54.17 cnf(3687,plain,
% 54.42/54.17 (~P10(a70,f53(f53(f10(a70),f3(a70)),f3(a70)),f53(f53(f10(a70),f3(a70)),f2(a70)))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,234,242,246,247,248,249,250,252,253,255,259,265,266,269,270,271,272,273,274,275,277,283,287,288,289,291,292,305,311,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,338,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,485,461,479,2190,598,3617,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,465,466,467,1956,468,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763,1762,1796,1795,1794,1793,1787,1786,1784,1761,1760,1170,1037,965,1726,1032,1591,1725,1413,1412,1207,1125,1124,754,838,1580,1432,1672,1555,1553,1317,1309,1643,1642,1375,1373,1354,1743,1732,1683,1573,1679,1678,1677,1676,1675,1649,1648,1647])).
% 54.42/54.17 cnf(3705,plain,
% 54.42/54.17 (P9(a68,f53(f53(f10(a68),f26(a69,f24(f2(a68)))),f2(a68)),f53(f53(f10(a68),f26(a69,f24(f2(a68)))),f26(a69,f24(f2(a68)))))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,234,242,246,247,248,249,250,252,253,255,259,265,266,269,270,271,272,273,274,275,277,283,287,288,289,291,292,296,298,301,302,305,311,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,338,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,458,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,485,461,479,2190,598,3617,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,465,466,467,1956,468,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763,1762,1796,1795,1794,1793,1787,1786,1784,1761,1760,1170,1037,965,1726,1032,1591,1725,1413,1412,1207,1125,1124,754,838,1580,1432,1672,1555,1553,1317,1309,1643,1642,1375,1373,1354,1743,1732,1683,1573,1679,1678,1677,1676,1675,1649,1648,1647,1646,1579,1578,1577,1576,1575,1572,1571,1570])).
% 54.42/54.17 cnf(3723,plain,
% 54.42/54.17 (~P9(a70,f2(a70),f53(f53(f10(a70),f3(a70)),f9(a70,f3(a70))))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,234,242,246,247,248,249,250,252,253,255,259,265,266,269,270,271,272,273,274,275,277,283,287,288,289,291,292,296,298,301,302,305,306,311,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,338,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,458,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,485,461,479,2190,598,3617,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,465,466,467,1956,468,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763,1762,1796,1795,1794,1793,1787,1786,1784,1761,1760,1170,1037,965,1726,1032,1591,1725,1413,1412,1207,1125,1124,754,838,1580,1432,1672,1555,1553,1317,1309,1643,1642,1375,1373,1354,1743,1732,1683,1573,1679,1678,1677,1676,1675,1649,1648,1647,1646,1579,1578,1577,1576,1575,1572,1571,1570,1568,1567,1563,1561,1526,1525,1485,1482,1480])).
% 54.42/54.17 cnf(3727,plain,
% 54.42/54.17 (~P9(a70,f53(f53(f10(a70),f3(a70)),f3(a70)),f2(a70))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,234,242,246,247,248,249,250,252,253,255,259,265,266,269,270,271,272,273,274,275,277,283,287,288,289,291,292,296,298,301,302,305,306,311,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,338,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,458,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,485,461,479,2190,598,3617,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,465,466,467,1956,468,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763,1762,1796,1795,1794,1793,1787,1786,1784,1761,1760,1170,1037,965,1726,1032,1591,1725,1413,1412,1207,1125,1124,754,838,1580,1432,1672,1555,1553,1317,1309,1643,1642,1375,1373,1354,1743,1732,1683,1573,1679,1678,1677,1676,1675,1649,1648,1647,1646,1579,1578,1577,1576,1575,1572,1571,1570,1568,1567,1563,1561,1526,1525,1485,1482,1480,1479,1478])).
% 54.42/54.17 cnf(3741,plain,
% 54.42/54.17 (P9(a70,f53(f53(f10(a70),f2(a70)),f2(a70)),f2(a70))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,234,242,246,247,248,249,250,252,253,255,259,265,266,269,270,271,272,273,274,275,277,283,287,288,289,291,292,295,296,298,301,302,305,306,307,311,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,338,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,391,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,458,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,485,461,479,2190,598,3617,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,465,466,467,1956,468,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763,1762,1796,1795,1794,1793,1787,1786,1784,1761,1760,1170,1037,965,1726,1032,1591,1725,1413,1412,1207,1125,1124,754,838,1580,1432,1672,1555,1553,1317,1309,1643,1642,1375,1373,1354,1743,1732,1683,1573,1679,1678,1677,1676,1675,1649,1648,1647,1646,1579,1578,1577,1576,1575,1572,1571,1570,1568,1567,1563,1561,1526,1525,1485,1482,1480,1479,1478,1471,1470,1469,1467,1462,1461,1459])).
% 54.42/54.17 cnf(3743,plain,
% 54.42/54.17 (P9(a70,f53(f53(f10(a70),f2(a70)),f8(a70,f11(a70,f2(a70),f3(a70)),f3(a70))),f2(a70))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,234,242,246,247,248,249,250,252,253,255,259,265,266,269,270,271,272,273,274,275,277,283,287,288,289,291,292,295,296,298,301,302,305,306,307,311,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,338,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,391,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,458,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,485,461,479,2190,598,3617,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,465,466,467,1956,468,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763,1762,1796,1795,1794,1793,1787,1786,1784,1761,1760,1170,1037,965,1726,1032,1591,1725,1413,1412,1207,1125,1124,754,838,1580,1432,1672,1555,1553,1317,1309,1643,1642,1375,1373,1354,1743,1732,1683,1573,1679,1678,1677,1676,1675,1649,1648,1647,1646,1579,1578,1577,1576,1575,1572,1571,1570,1568,1567,1563,1561,1526,1525,1485,1482,1480,1479,1478,1471,1470,1469,1467,1462,1461,1459,1457])).
% 54.42/54.17 cnf(3753,plain,
% 54.42/54.17 (P9(a70,f2(a70),f53(f53(f10(a70),f3(a70)),f3(a70)))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,234,242,246,247,248,249,250,252,253,255,259,265,266,269,270,271,272,273,274,275,277,283,287,288,289,291,292,295,296,298,301,302,305,306,307,311,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,338,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,391,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,458,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,485,461,479,2190,598,3617,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,465,466,467,1956,468,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763,1762,1796,1795,1794,1793,1787,1786,1784,1761,1760,1170,1037,965,1726,1032,1591,1725,1413,1412,1207,1125,1124,754,838,1580,1432,1672,1555,1553,1317,1309,1643,1642,1375,1373,1354,1743,1732,1683,1573,1679,1678,1677,1676,1675,1649,1648,1647,1646,1579,1578,1577,1576,1575,1572,1571,1570,1568,1567,1563,1561,1526,1525,1485,1482,1480,1479,1478,1471,1470,1469,1467,1462,1461,1459,1457,1455,1454,1452,1451,1450])).
% 54.42/54.17 cnf(3761,plain,
% 54.42/54.17 (P9(a70,f2(a70),f53(f53(f10(a70),f8(a70,f11(a70,f2(a70),f3(a70)),f3(a70))),f8(a70,f11(a70,f2(a70),f3(a70)),f3(a70))))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,234,242,246,247,248,249,250,252,253,255,259,265,266,269,270,271,272,273,274,275,277,283,287,288,289,291,292,295,296,298,301,302,305,306,307,311,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,338,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,391,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,458,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,485,461,479,2190,598,3617,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,465,466,467,1956,468,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763,1762,1796,1795,1794,1793,1787,1786,1784,1761,1760,1170,1037,965,1726,1032,1591,1725,1413,1412,1207,1125,1124,754,838,1580,1432,1672,1555,1553,1317,1309,1643,1642,1375,1373,1354,1743,1732,1683,1573,1679,1678,1677,1676,1675,1649,1648,1647,1646,1579,1578,1577,1576,1575,1572,1571,1570,1568,1567,1563,1561,1526,1525,1485,1482,1480,1479,1478,1471,1470,1469,1467,1462,1461,1459,1457,1455,1454,1452,1451,1450,1449,1448,1447,1446])).
% 54.42/54.17 cnf(3769,plain,
% 54.42/54.17 (~E(f53(f53(f10(a68),f3(a68)),f3(a68)),f2(a68))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,234,242,246,247,248,249,250,252,253,255,259,265,266,269,270,271,272,273,274,275,277,283,287,288,289,291,292,295,296,298,301,302,305,306,307,311,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,338,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,391,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,458,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,485,461,479,2190,598,3617,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,465,466,467,1956,468,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763,1762,1796,1795,1794,1793,1787,1786,1784,1761,1760,1170,1037,965,1726,1032,1591,1725,1413,1412,1207,1125,1124,754,838,1580,1432,1672,1555,1553,1317,1309,1643,1642,1375,1373,1354,1743,1732,1683,1573,1679,1678,1677,1676,1675,1649,1648,1647,1646,1579,1578,1577,1576,1575,1572,1571,1570,1568,1567,1563,1561,1526,1525,1485,1482,1480,1479,1478,1471,1470,1469,1467,1462,1461,1459,1457,1455,1454,1452,1451,1450,1449,1448,1447,1446,1445,1187,979,923])).
% 54.42/54.17 cnf(3771,plain,
% 54.42/54.17 (~E(f53(f53(f10(a70),f3(a70)),f3(a70)),f2(a70))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,234,241,242,246,247,248,249,250,252,253,255,259,265,266,269,270,271,272,273,274,275,277,283,287,288,289,291,292,295,296,298,301,302,305,306,307,311,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,338,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,391,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,458,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,485,461,479,2190,598,3617,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,465,466,467,1956,468,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763,1762,1796,1795,1794,1793,1787,1786,1784,1761,1760,1170,1037,965,1726,1032,1591,1725,1413,1412,1207,1125,1124,754,838,1580,1432,1672,1555,1553,1317,1309,1643,1642,1375,1373,1354,1743,1732,1683,1573,1679,1678,1677,1676,1675,1649,1648,1647,1646,1579,1578,1577,1576,1575,1572,1571,1570,1568,1567,1563,1561,1526,1525,1485,1482,1480,1479,1478,1471,1470,1469,1467,1462,1461,1459,1457,1455,1454,1452,1451,1450,1449,1448,1447,1446,1445,1187,979,923,922])).
% 54.42/54.17 cnf(3775,plain,
% 54.42/54.17 (~P10(a68,f53(f53(f10(a68),f26(a69,f24(f2(a68)))),x37751),f53(f53(f10(a68),f26(a69,f24(f2(a68)))),x37752))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,234,241,242,246,247,248,249,250,252,253,255,259,265,266,269,270,271,272,273,274,275,277,283,287,288,289,291,292,295,296,298,301,302,305,306,307,311,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,338,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,391,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,458,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,485,461,479,2190,598,3617,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,465,466,467,1956,468,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763,1762,1796,1795,1794,1793,1787,1786,1784,1761,1760,1170,1037,965,1726,1032,1591,1725,1413,1412,1207,1125,1124,754,838,1580,1432,1672,1555,1553,1317,1309,1643,1642,1375,1373,1354,1743,1732,1683,1573,1679,1678,1677,1676,1675,1649,1648,1647,1646,1579,1578,1577,1576,1575,1572,1571,1570,1568,1567,1563,1561,1526,1525,1485,1482,1480,1479,1478,1471,1470,1469,1467,1462,1461,1459,1457,1455,1454,1452,1451,1450,1449,1448,1447,1446,1445,1187,979,923,922,907,1661])).
% 54.42/54.17 cnf(3785,plain,
% 54.42/54.17 (~P10(a68,f2(a68),f11(a68,f53(f53(f10(a68),f25(a68,f2(a68))),f25(a68,f2(a68))),f53(f53(f10(a68),f25(a68,f2(a68))),f25(a68,f2(a68)))))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,234,241,242,246,247,248,249,250,252,253,255,259,265,266,269,270,271,272,273,274,275,277,283,287,288,289,291,292,295,296,298,301,302,305,306,307,311,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,338,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,391,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,458,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,485,461,479,2190,598,3617,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,465,466,467,1956,468,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763,1762,1796,1795,1794,1793,1787,1786,1784,1761,1760,1170,1037,965,1726,1032,1591,1725,1413,1412,1207,1125,1124,754,838,1580,1432,1672,1555,1553,1317,1309,1643,1642,1375,1373,1354,1743,1732,1683,1573,1679,1678,1677,1676,1675,1649,1648,1647,1646,1579,1578,1577,1576,1575,1572,1571,1570,1568,1567,1563,1561,1526,1525,1485,1482,1480,1479,1478,1471,1470,1469,1467,1462,1461,1459,1457,1455,1454,1452,1451,1450,1449,1448,1447,1446,1445,1187,979,923,922,907,1661,1660,1710,1697,1712,1742])).
% 54.42/54.17 cnf(3789,plain,
% 54.42/54.17 (P9(a68,f11(a68,f53(f53(f10(a68),f25(a68,f2(a68))),f25(a68,f2(a68))),f53(f53(f10(a68),f25(a68,f2(a68))),f25(a68,f2(a68)))),f2(a68))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,234,241,242,246,247,248,249,250,252,253,255,259,265,266,269,270,271,272,273,274,275,277,283,287,288,289,291,292,295,296,298,301,302,305,306,307,311,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,338,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,391,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,458,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,485,461,479,2190,598,3617,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,465,466,467,1956,468,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763,1762,1796,1795,1794,1793,1787,1786,1784,1761,1760,1170,1037,965,1726,1032,1591,1725,1413,1412,1207,1125,1124,754,838,1580,1432,1672,1555,1553,1317,1309,1643,1642,1375,1373,1354,1743,1732,1683,1573,1679,1678,1677,1676,1675,1649,1648,1647,1646,1579,1578,1577,1576,1575,1572,1571,1570,1568,1567,1563,1561,1526,1525,1485,1482,1480,1479,1478,1471,1470,1469,1467,1462,1461,1459,1457,1455,1454,1452,1451,1450,1449,1448,1447,1446,1445,1187,979,923,922,907,1661,1660,1710,1697,1712,1742,1730,1692])).
% 54.42/54.17 cnf(3791,plain,
% 54.42/54.17 (E(f11(a70,f53(f53(f10(a70),f9(a70,f2(a70))),f9(a70,f2(a70))),f53(f53(f10(a70),f9(a70,f2(a70))),f9(a70,f2(a70)))),f2(a70))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,234,241,242,246,247,248,249,250,252,253,255,259,265,266,269,270,271,272,273,274,275,277,283,287,288,289,291,292,295,296,298,301,302,305,306,307,311,313,314,316,317,319,320,321,325,328,329,330,331,332,335,336,338,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,391,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,458,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,485,461,479,2190,598,3617,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,465,466,467,1956,468,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763,1762,1796,1795,1794,1793,1787,1786,1784,1761,1760,1170,1037,965,1726,1032,1591,1725,1413,1412,1207,1125,1124,754,838,1580,1432,1672,1555,1553,1317,1309,1643,1642,1375,1373,1354,1743,1732,1683,1573,1679,1678,1677,1676,1675,1649,1648,1647,1646,1579,1578,1577,1576,1575,1572,1571,1570,1568,1567,1563,1561,1526,1525,1485,1482,1480,1479,1478,1471,1470,1469,1467,1462,1461,1459,1457,1455,1454,1452,1451,1450,1449,1448,1447,1446,1445,1187,979,923,922,907,1661,1660,1710,1697,1712,1742,1730,1692,1334])).
% 54.42/54.17 cnf(3813,plain,
% 54.42/54.17 (~P9(a70,f11(a70,f53(f53(f10(a70),f3(a70)),f3(a70)),f2(a70)),f11(a70,f53(f53(f10(a70),f3(a70)),f2(a70)),f2(a70)))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,234,241,242,246,247,248,249,250,252,253,255,259,265,266,269,270,271,272,273,274,275,277,283,287,288,289,291,292,295,296,298,301,302,305,306,307,311,312,313,314,316,317,319,320,321,324,325,328,329,330,331,332,335,336,338,341,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,391,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,458,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,485,461,479,2190,598,3617,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,465,466,467,1956,468,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763,1762,1796,1795,1794,1793,1787,1786,1784,1761,1760,1170,1037,965,1726,1032,1591,1725,1413,1412,1207,1125,1124,754,838,1580,1432,1672,1555,1553,1317,1309,1643,1642,1375,1373,1354,1743,1732,1683,1573,1679,1678,1677,1676,1675,1649,1648,1647,1646,1579,1578,1577,1576,1575,1572,1571,1570,1568,1567,1563,1561,1526,1525,1485,1482,1480,1479,1478,1471,1470,1469,1467,1462,1461,1459,1457,1455,1454,1452,1451,1450,1449,1448,1447,1446,1445,1187,979,923,922,907,1661,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1550,1549,1548,1298,1766,1748,1747,1775,1765])).
% 54.42/54.17 cnf(3826,plain,
% 54.42/54.17 (P9(a68,f2(a68),f26(a69,x38261))),
% 54.42/54.17 inference(rename_variables,[],[479])).
% 54.42/54.17 cnf(3828,plain,
% 54.42/54.17 (~E(f11(a68,f26(a69,x38281),f3(a68)),f2(a68))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,234,241,242,246,247,248,249,250,252,253,255,259,265,266,269,270,271,272,273,274,275,277,283,287,288,289,291,292,295,296,298,301,302,305,306,307,311,312,313,314,316,317,319,320,321,324,325,328,329,330,331,332,335,336,338,341,342,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,391,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,420,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,458,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,485,461,479,2190,3826,598,3617,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,465,466,467,1956,468,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763,1762,1796,1795,1794,1793,1787,1786,1784,1761,1760,1170,1037,965,1726,1032,1591,1725,1413,1412,1207,1125,1124,754,838,1580,1432,1672,1555,1553,1317,1309,1643,1642,1375,1373,1354,1743,1732,1683,1573,1679,1678,1677,1676,1675,1649,1648,1647,1646,1579,1578,1577,1576,1575,1572,1571,1570,1568,1567,1563,1561,1526,1525,1485,1482,1480,1479,1478,1471,1470,1469,1467,1462,1461,1459,1457,1455,1454,1452,1451,1450,1449,1448,1447,1446,1445,1187,979,923,922,907,1661,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1550,1549,1548,1298,1766,1748,1747,1775,1765,1764,1662,1664,1582,1756,1345,1344])).
% 54.42/54.17 cnf(3832,plain,
% 54.42/54.17 (~E(f53(f53(f20(a70),f3(a70)),x38321),f2(a70))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,233,234,237,238,241,242,245,246,247,248,249,250,252,253,255,259,265,266,269,270,271,272,273,274,275,277,283,287,288,289,291,292,295,296,298,301,302,305,306,307,311,312,313,314,316,317,319,320,321,324,325,328,329,330,331,332,335,336,338,341,342,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,391,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,420,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,458,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,485,461,479,2190,3826,598,3617,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,465,466,467,1956,468,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763,1762,1796,1795,1794,1793,1787,1786,1784,1761,1760,1170,1037,965,1726,1032,1591,1725,1413,1412,1207,1125,1124,754,838,1580,1432,1672,1555,1553,1317,1309,1643,1642,1375,1373,1354,1743,1732,1683,1573,1679,1678,1677,1676,1675,1649,1648,1647,1646,1579,1578,1577,1576,1575,1572,1571,1570,1568,1567,1563,1561,1526,1525,1485,1482,1480,1479,1478,1471,1470,1469,1467,1462,1461,1459,1457,1455,1454,1452,1451,1450,1449,1448,1447,1446,1445,1187,979,923,922,907,1661,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1550,1549,1548,1298,1766,1748,1747,1775,1765,1764,1662,1664,1582,1756,1345,1344,976,975])).
% 54.42/54.17 cnf(3852,plain,
% 54.42/54.17 (~P10(a70,f2(a70),f9(a70,f3(a70)))),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,232,233,234,236,237,238,240,241,242,244,245,246,247,248,249,250,252,253,255,259,264,265,266,268,269,270,271,272,273,274,275,277,283,287,288,289,291,292,295,296,297,298,301,302,305,306,307,311,312,313,314,316,317,319,320,321,324,325,328,329,330,331,332,335,336,338,341,342,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,391,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,420,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,458,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,485,461,479,2190,3826,598,3617,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,465,466,467,1956,468,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763,1762,1796,1795,1794,1793,1787,1786,1784,1761,1760,1170,1037,965,1726,1032,1591,1725,1413,1412,1207,1125,1124,754,838,1580,1432,1672,1555,1553,1317,1309,1643,1642,1375,1373,1354,1743,1732,1683,1573,1679,1678,1677,1676,1675,1649,1648,1647,1646,1579,1578,1577,1576,1575,1572,1571,1570,1568,1567,1563,1561,1526,1525,1485,1482,1480,1479,1478,1471,1470,1469,1467,1462,1461,1459,1457,1455,1454,1452,1451,1450,1449,1448,1447,1446,1445,1187,979,923,922,907,1661,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1550,1549,1548,1298,1766,1748,1747,1775,1765,1764,1662,1664,1582,1756,1345,1344,976,975,1703,1702,1701,1700,1699,1698,901,1746,1745,1021])).
% 54.42/54.17 cnf(3858,plain,
% 54.42/54.17 (~E(f11(a69,x38581,f4(a1,f11(a68,f2(f72(a1)),f3(a68)))),x38581)),
% 54.42/54.17 inference(scs_inference,[],[606,447,1847,1878,1903,1942,1946,1959,2117,2162,2210,2405,2410,2417,2479,2598,2601,2604,2643,2750,2773,2776,2785,2788,2813,448,1868,1901,1947,2105,2158,2171,2174,2203,449,1822,1825,1939,2456,2465,589,1838,1895,1898,1943,2102,2165,2450,2453,2468,2759,2762,2779,2782,205,207,208,209,210,211,212,213,214,215,216,219,220,223,224,225,226,228,229,230,232,233,234,236,237,238,240,241,242,244,245,246,247,248,249,250,252,253,255,259,264,265,266,268,269,270,271,272,273,274,275,277,283,287,288,289,291,292,295,296,297,298,301,302,305,306,307,311,312,313,314,316,317,319,320,321,324,325,328,329,330,331,332,335,336,338,341,342,344,345,348,349,351,352,356,357,360,364,372,376,377,378,379,382,384,385,387,388,389,390,391,392,393,394,395,396,397,398,399,403,404,405,407,408,413,417,420,423,463,1920,1923,2106,2129,2145,2157,2218,592,1993,2148,2151,453,454,455,456,457,458,594,577,578,582,437,436,435,438,473,474,584,585,593,504,586,427,428,429,431,432,433,434,587,491,470,540,555,554,543,544,605,569,573,495,1832,1835,2142,496,497,1919,599,1841,1844,600,484,2111,2114,2215,485,461,479,2190,3826,598,3617,440,1980,2195,2886,441,480,1862,1875,1881,2189,498,1884,2073,2156,499,464,465,466,467,1956,468,602,1854,1889,1906,1988,1998,2019,2066,2120,2137,2161,2168,2177,2181,2198,494,493,500,471,1964,515,1865,1892,1936,1985,2088,2091,2134,2178,2182,2925,450,601,552,516,527,528,560,2,991,924,883,851,845,740,863,1363,1362,1361,1351,1350,1349,1258,1257,1255,1077,1003,1024,797,1283,8,1595,1518,1517,1429,1421,1186,1185,1088,1087,1013,944,1325,1391,1498,1496,122,121,116,115,3,1098,1097,1096,1093,1074,1073,1011,1008,955,899,898,1405,1131,1130,1308,1292,707,678,1538,1357,1326,1104,915,914,1158,1156,1155,911,719,718,699,1608,1443,1382,1295,1203,1196,1166,920,1184,1182,1181,1180,1179,1177,1176,1174,1173,1171,1056,1029,967,966,916,910,786,716,715,714,713,712,711,710,708,693,689,1401,1400,1399,1398,1397,1137,1085,918,947,933,862,861,1707,1706,929,1597,1488,1792,1790,1782,1780,1754,1753,1799,1785,1752,1751,1239,1238,1237,1236,1235,1234,1232,1113,1043,1035,968,1406,1428,1427,1426,1425,1424,1559,1558,1557,1556,1353,1734,1267,1387,1343,1468,1330,1329,1328,978,1632,1319,997,996,926,925,850,760,759,743,1022,749,1276,1274,1273,1272,1253,1251,1064,989,777,776,763,762,745,705,704,703,702,701,700,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,1803,1802,1514,1084,1083,1059,1052,1051,983,982,873,872,860,859,858,836,835,790,736,735,733,671,670,1333,1332,1290,1268,1263,1243,1241,1109,1065,1060,1058,1054,1053,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1596,1560,1524,1523,1435,1434,1433,1423,1422,1420,1419,1418,1417,1416,1415,1371,1369,1366,1365,1360,1359,1331,1297,1271,1270,1160,1116,1115,1108,1075,1071,1070,1067,1066,1031,1030,1019,1006,1004,977,948,941,937,936,934,884,841,840,839,830,808,807,806,805,795,785,784,783,781,780,779,774,773,772,771,770,769,747,746,726,725,724,717,675,674,673,672,669,1757,1711,1708,1598,1528,1527,1499,1473,1472,1358,1356,1355,1336,1335,1300,1299,1269,906,905,903,1245,1034,1609,1512,1511,1389,1388,1324,1318,1266,1265,1264,1213,1212,1206,1189,1159,1114,1063,1062,1023,1018,1017,1001,1000,984,935,919,909,878,877,876,870,869,868,867,854,853,833,832,828,821,820,818,815,814,813,794,793,758,757,756,755,739,687,686,685,684,683,682,681,680,1323,1322,1774,1773,1738,1723,1689,1668,1659,1658,1657,1641,1640,1639,1622,1621,1620,1619,1618,1522,1521,1520,1516,1497,1495,1493,1491,1490,1487,1486,1476,1396,1395,1394,1392,1381,1380,1367,1346,1282,1281,1277,1262,1227,1226,1222,1220,1219,1218,1217,1205,1192,1191,1169,1167,1161,1136,1135,1134,1045,1033,958,891,890,844,843,842,819,1767,1719,1713,1709,1694,1693,1687,1656,1655,1636,1635,1634,1633,1617,1616,1590,1589,1587,1586,1547,1546,1545,1544,1542,1533,1531,1530,1513,1475,1414,1404,1403,1289,1288,1287,1286,1285,1231,1230,1229,1724,1721,1695,1670,1669,1666,1665,981,1772,1750,1736,1735,1729,1728,1722,1408,1788,1777,1758,1688,1779,1797,1798,204,173,172,157,153,145,144,143,124,120,114,1211,1210,1209,1089,1072,1028,950,931,768,766,800,1364,817,816,1534,1068,834,775,753,1477,1463,1407,1379,1378,1377,1338,1293,1133,1128,1082,1081,1080,1079,1055,789,1541,1537,1494,1107,1106,1105,1102,1101,788,787,732,731,730,728,1629,1628,1627,1625,1624,1510,1509,1508,1504,1503,1244,1050,1049,1048,1046,1778,1667,1278,1540,1539,1122,1121,1120,1119,1014,957,956,902,831,799,706,688,677,1733,1543,1020,886,855,1606,1604,1602,1442,1441,1440,1439,1437,1431,1411,1410,1409,1383,1294,1225,1223,1202,1200,1198,1194,1163,882,874,723,721,1611,1610,1315,1305,1304,1303,1215,1214,1183,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,972,943,942,913,892,865,864,823,822,802,801,744,738,737,727,696,695,694,692,691,690,1600,1430,1314,1313,1312,1311,1310,987,986,985,810,803,999,973,946,945,1645,1599,970,969,900,887,871,1686,988,1740,1739,1691,1690,1536,1535,1376,1228,881,1791,1789,1783,1781,1763,1762,1796,1795,1794,1793,1787,1786,1784,1761,1760,1170,1037,965,1726,1032,1591,1725,1413,1412,1207,1125,1124,754,838,1580,1432,1672,1555,1553,1317,1309,1643,1642,1375,1373,1354,1743,1732,1683,1573,1679,1678,1677,1676,1675,1649,1648,1647,1646,1579,1578,1577,1576,1575,1572,1571,1570,1568,1567,1563,1561,1526,1525,1485,1482,1480,1479,1478,1471,1470,1469,1467,1462,1461,1459,1457,1455,1454,1452,1451,1450,1449,1448,1447,1446,1445,1187,979,923,922,907,1661,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1550,1549,1548,1298,1766,1748,1747,1775,1765,1764,1662,1664,1582,1756,1345,1344,976,975,1703,1702,1701,1700,1699,1698,901,1746,1745,1021,889,888,856])).
% 54.42/54.17 cnf(3907,plain,
% 54.42/54.17 (~E(f11(a69,x39071,f4(a1,f11(a68,f2(f72(a1)),f3(a68)))),x39071)),
% 54.42/54.17 inference(rename_variables,[],[3858])).
% 54.42/54.17 cnf(3909,plain,
% 54.42/54.17 (~E(f53(f53(f10(a69),x39091),f11(a69,f3(a69),f4(a1,f11(a68,f2(f72(a1)),f3(a68))))),f3(a69))),
% 54.42/54.17 inference(scs_inference,[],[3858,3907,827,826])).
% 54.42/54.17 cnf(3910,plain,
% 54.42/54.17 (~E(f11(a69,x39101,f4(a1,f11(a68,f2(f72(a1)),f3(a68)))),x39101)),
% 54.42/54.17 inference(rename_variables,[],[3858])).
% 54.42/54.17 cnf(3913,plain,
% 54.42/54.17 (~P10(a68,x39131,x39131)),
% 54.42/54.17 inference(rename_variables,[],[1811])).
% 54.42/54.17 cnf(3915,plain,
% 54.42/54.17 (~P9(a68,f2(a68),f11(a68,f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74))),f9(a68,f27(a1,f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83)))))))),
% 54.42/54.17 inference(scs_inference,[],[3858,3907,1811,3402,827,826,1804,1390])).
% 54.42/54.17 cnf(3919,plain,
% 54.42/54.17 (~P9(a68,f2(a68),f25(a68,f11(a68,f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74))),f9(a68,f27(a1,f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83))))))))),
% 54.42/54.17 inference(scs_inference,[],[399,266,3858,3907,2116,1811,3402,827,826,1804,1390,1296,1178])).
% 54.42/54.17 cnf(3922,plain,
% 54.42/54.17 (~P9(a68,f7(a68,f11(a68,x39221,f11(a68,f26(a69,f24(f3(a68))),f3(a68)))),x39221)),
% 54.42/54.17 inference(rename_variables,[],[2180])).
% 54.42/54.17 cnf(3924,plain,
% 54.42/54.17 (~P9(a68,f3(a68),f25(a68,f7(a68,f11(a68,f3(a68),f11(a68,f26(a69,f24(f3(a68))),f3(a68))))))),
% 54.42/54.17 inference(scs_inference,[],[399,266,3858,3907,2116,1811,2180,3922,3402,827,826,1804,1390,1296,1178,1175,1172])).
% 54.42/54.17 cnf(3925,plain,
% 54.42/54.17 (~P9(a68,f7(a68,f11(a68,x39251,f11(a68,f26(a69,f24(f3(a68))),f3(a68)))),x39251)),
% 54.42/54.17 inference(rename_variables,[],[2180])).
% 54.42/54.17 cnf(3929,plain,
% 54.42/54.17 (P9(a68,x39291,x39291)),
% 54.42/54.17 inference(rename_variables,[],[447])).
% 54.42/54.17 cnf(3932,plain,
% 54.42/54.17 (~E(f11(a69,x39321,f4(a1,f11(a68,f2(f72(a1)),f3(a68)))),x39321)),
% 54.42/54.17 inference(rename_variables,[],[3858])).
% 54.42/54.17 cnf(3935,plain,
% 54.42/54.17 (P13(f72(a1),f53(f53(f20(f72(a1)),f17(a1,f9(a1,x39351),f17(a1,f3(a1),f2(f72(a1))))),f18(a1,x39351,x39352)),x39352)),
% 54.42/54.17 inference(rename_variables,[],[3173])).
% 54.42/54.17 cnf(3937,plain,
% 54.42/54.17 (E(f26(a69,f24(f2(a68))),f2(a68))),
% 54.42/54.17 inference(scs_inference,[],[333,447,399,598,266,274,1941,3858,3907,3910,2116,3173,3426,1811,2649,2180,3922,2396,3402,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959])).
% 54.42/54.17 cnf(3938,plain,
% 54.42/54.17 (~P10(a68,f26(a69,x39381),f2(a68))),
% 54.42/54.17 inference(rename_variables,[],[598])).
% 54.42/54.17 cnf(3940,plain,
% 54.42/54.17 (~P14(a70,f53(f20(a70),f11(a70,f3(a70),f3(a70))))),
% 54.42/54.17 inference(scs_inference,[],[333,447,405,463,399,598,266,274,1941,3858,3907,3910,2116,3173,3426,1811,2649,3645,2180,3922,2396,3402,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208])).
% 54.42/54.17 cnf(3943,plain,
% 54.42/54.17 (P10(a69,x39431,f13(f11(a68,f26(a69,x39431),f3(a68))))),
% 54.42/54.17 inference(rename_variables,[],[1861])).
% 54.42/54.17 cnf(3946,plain,
% 54.42/54.17 (P9(a69,f2(a69),x39461)),
% 54.42/54.17 inference(rename_variables,[],[463])).
% 54.42/54.17 cnf(3947,plain,
% 54.42/54.17 (P10(a69,x39471,f13(f11(a68,f26(a69,x39471),f3(a68))))),
% 54.42/54.17 inference(rename_variables,[],[1861])).
% 54.42/54.17 cnf(3950,plain,
% 54.42/54.17 (P9(a68,x39501,x39501)),
% 54.42/54.17 inference(rename_variables,[],[447])).
% 54.42/54.17 cnf(3954,plain,
% 54.42/54.17 (~P10(a70,f53(f53(f10(a70),f3(a70)),f2(a70)),f53(f53(f10(a70),f2(a70)),f2(a70)))),
% 54.42/54.17 inference(scs_inference,[],[1807,308,333,447,3929,3950,449,212,405,463,592,399,224,307,598,266,274,1941,1914,3858,3907,3910,2116,3173,3426,1811,1861,3943,2649,3645,2180,3922,2396,3402,3368,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684])).
% 54.42/54.17 cnf(3964,plain,
% 54.42/54.17 (P9(a68,f11(a68,f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74))),f9(a68,f27(a1,f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83)))))),f2(a68))),
% 54.42/54.17 inference(scs_inference,[],[1809,1807,308,333,459,447,3929,3950,449,212,405,463,592,399,224,307,598,266,291,274,1941,1914,3304,3858,3907,3910,2116,3173,3426,1811,1861,3943,2649,3645,2180,3922,2396,3402,2651,3368,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481])).
% 54.42/54.17 cnf(3965,plain,
% 54.42/54.17 (P9(a68,f2(a68),f53(f53(f10(a68),x39651),x39651))),
% 54.42/54.17 inference(rename_variables,[],[2651])).
% 54.42/54.17 cnf(3968,plain,
% 54.42/54.17 (~P10(a68,x39681,x39681)),
% 54.42/54.17 inference(rename_variables,[],[1811])).
% 54.42/54.17 cnf(3971,plain,
% 54.42/54.17 (~E(f12(a68,f26(a69,x39711)),f9(a68,f3(a68)))),
% 54.42/54.17 inference(rename_variables,[],[3540])).
% 54.42/54.17 cnf(3974,plain,
% 54.42/54.17 (P9(a69,f2(a69),x39741)),
% 54.42/54.17 inference(rename_variables,[],[463])).
% 54.42/54.17 cnf(3975,plain,
% 54.42/54.17 (P9(a69,x39751,x39751)),
% 54.42/54.17 inference(rename_variables,[],[448])).
% 54.42/54.17 cnf(3978,plain,
% 54.42/54.17 (P9(a70,x39781,x39781)),
% 54.42/54.17 inference(rename_variables,[],[449])).
% 54.42/54.17 cnf(3981,plain,
% 54.42/54.17 (P9(a69,f2(a69),x39811)),
% 54.42/54.17 inference(rename_variables,[],[463])).
% 54.42/54.17 cnf(3982,plain,
% 54.42/54.17 (P9(a69,x39821,x39821)),
% 54.42/54.17 inference(rename_variables,[],[448])).
% 54.42/54.17 cnf(3985,plain,
% 54.42/54.17 (P9(a68,x39851,f26(a69,f13(x39851)))),
% 54.42/54.17 inference(rename_variables,[],[480])).
% 54.42/54.17 cnf(3988,plain,
% 54.42/54.17 (P9(a69,f2(a69),x39881)),
% 54.42/54.17 inference(rename_variables,[],[463])).
% 54.42/54.17 cnf(3989,plain,
% 54.42/54.17 (P9(a69,x39891,x39891)),
% 54.42/54.17 inference(rename_variables,[],[448])).
% 54.42/54.17 cnf(3991,plain,
% 54.42/54.17 (~P10(a68,f53(f53(f10(a68),a33),f27(a1,f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83))))),f53(f53(f10(a68),a33),f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74)))))),
% 54.42/54.17 inference(scs_inference,[],[1809,1807,308,333,459,447,3929,3950,448,3975,3982,449,212,405,463,3946,3974,3981,592,582,480,253,399,224,307,392,275,598,473,266,291,274,1941,1914,3304,2147,3858,3907,3910,2116,2238,3540,3173,3426,3480,1811,3913,1861,3943,2649,3645,2180,3922,2396,3402,2651,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680])).
% 54.42/54.17 cnf(3996,plain,
% 54.42/54.17 (~E(f11(a69,x39961,f4(a1,f11(a68,f2(f72(a1)),f3(a68)))),x39961)),
% 54.42/54.17 inference(rename_variables,[],[3858])).
% 54.42/54.17 cnf(3998,plain,
% 54.42/54.17 (P9(f72(a68),x39981,f7(f72(a68),x39981))),
% 54.42/54.17 inference(scs_inference,[],[1809,1807,308,333,459,447,3929,3950,448,3975,3982,449,212,405,463,3946,3974,3981,592,582,480,253,399,224,307,265,392,275,598,473,266,291,455,274,1941,1914,3208,3304,2147,3858,3907,3910,3932,2116,2238,3540,3173,3426,3480,1811,3913,1861,3943,2649,3645,2180,3922,2322,2396,3402,2651,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852])).
% 54.42/54.17 cnf(4002,plain,
% 54.42/54.17 (~E(f4(a1,a73),f2(a69))),
% 54.42/54.17 inference(scs_inference,[],[1809,1807,308,333,562,459,447,3929,3950,448,3975,3982,449,212,405,463,3946,3974,3981,592,582,480,253,399,224,307,265,392,275,598,473,266,504,291,455,274,1941,1914,3208,3304,2147,3858,3907,3910,3932,2116,2238,3540,3173,3426,3480,1811,3913,1861,3943,2649,3645,2180,3922,2322,2396,3402,2651,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863])).
% 54.42/54.17 cnf(4012,plain,
% 54.42/54.17 (~P9(a69,f13(f7(a68,f11(a68,f3(a68),f11(a68,f26(a69,f24(f3(a68))),f3(a68))))),f3(a69))),
% 54.42/54.17 inference(scs_inference,[],[1809,1807,308,333,562,459,447,3929,3950,448,3975,3982,449,212,405,463,3946,3974,3981,592,582,600,480,253,399,224,307,265,392,275,598,473,266,504,291,455,274,1941,1914,3208,3304,2147,3858,3907,3910,3932,2116,2238,3540,3173,3426,3480,1811,3913,1861,3943,2649,3645,2180,3922,3925,2322,2396,3402,2651,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059])).
% 54.42/54.17 cnf(4013,plain,
% 54.42/54.17 (~P9(a68,f7(a68,f11(a68,x40131,f11(a68,f26(a69,f24(f3(a68))),f3(a68)))),x40131)),
% 54.42/54.17 inference(rename_variables,[],[2180])).
% 54.42/54.17 cnf(4016,plain,
% 54.42/54.17 (E(f11(a69,x40161,f30(x40161,x40161)),x40161)),
% 54.42/54.17 inference(rename_variables,[],[2835])).
% 54.42/54.17 cnf(4029,plain,
% 54.42/54.17 (P9(a68,f53(f53(f10(a68),f25(a68,f2(a68))),f25(a68,f2(a68))),f9(a68,f53(f53(f10(a68),f25(a68,f2(a68))),f25(a68,f2(a68)))))),
% 54.42/54.17 inference(scs_inference,[],[1809,1807,308,333,562,459,447,3929,3950,448,3975,3982,449,212,405,463,3946,3974,3981,592,582,600,480,253,399,224,307,265,392,275,598,473,266,504,291,455,274,1941,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,2116,1925,2238,3540,3316,3173,3426,3480,1811,3913,1861,3943,2649,1984,3645,2180,3922,3925,2322,2396,3402,3789,2651,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388])).
% 54.42/54.17 cnf(4031,plain,
% 54.42/54.17 (P10(a68,f11(a68,x40311,f8(a68,x40312,f11(a68,f26(a69,f24(f7(a68,f8(a68,f9(a68,x40311),x40312)))),f3(a68)))),f2(a68))),
% 54.42/54.17 inference(scs_inference,[],[1809,1807,308,333,562,459,447,3929,3950,448,3975,3982,449,212,405,463,3946,3974,3981,592,582,600,480,253,399,224,307,265,392,275,598,473,266,504,291,455,274,1941,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,2116,1925,2238,3540,3316,3173,3426,3480,1811,3913,1861,3943,2087,2649,1984,3645,2180,3922,3925,2322,2396,3402,3789,2651,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325])).
% 54.42/54.17 cnf(4032,plain,
% 54.42/54.17 (P10(a68,f8(a68,x40321,f11(a68,f26(a69,f24(f7(a68,f8(a68,x40322,x40321)))),f3(a68))),x40322)),
% 54.42/54.17 inference(rename_variables,[],[2087])).
% 54.42/54.17 cnf(4034,plain,
% 54.42/54.17 (~E(f11(a68,x40341,f11(a69,f9(a68,x40341),f4(a1,f11(a68,f2(f72(a1)),f3(a68))))),f2(a68))),
% 54.42/54.17 inference(scs_inference,[],[1809,1807,308,333,562,459,447,3929,3950,448,3975,3982,449,212,405,463,3946,3974,3981,592,582,600,480,253,399,224,307,265,392,275,598,473,266,504,291,455,274,1941,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,3996,2116,1925,2238,3540,3316,3173,3426,3480,1811,3913,1861,3943,2087,2649,1984,3645,2180,3922,3925,2322,2396,3402,3789,2651,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912])).
% 54.42/54.17 cnf(4035,plain,
% 54.42/54.17 (~E(f11(a69,x40351,f4(a1,f11(a68,f2(f72(a1)),f3(a68)))),x40351)),
% 54.42/54.17 inference(rename_variables,[],[3858])).
% 54.42/54.17 cnf(4037,plain,
% 54.42/54.17 (~P9(a69,f4(a1,f11(a68,f2(f72(a1)),f3(a68))),f11(a69,f8(a69,f2(a69),f2(a69)),f2(a69)))),
% 54.42/54.17 inference(scs_inference,[],[1809,1807,308,333,562,459,447,3929,3950,448,3975,3982,449,212,405,463,3946,3974,3981,592,582,600,480,253,399,224,307,265,392,275,598,473,266,504,291,455,274,1941,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,3996,2116,1925,2238,3540,3316,3173,3426,3480,1811,3913,1861,3943,2087,2649,1984,3645,2180,3922,3925,2322,2396,3402,3789,2651,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497])).
% 54.42/54.17 cnf(4039,plain,
% 54.42/54.17 (P11(x40391,x40392,f53(f10(a69),f13(f2(a68))))),
% 54.42/54.17 inference(scs_inference,[],[1809,1807,308,333,562,459,447,3929,3950,448,3975,3982,449,212,405,463,3946,3974,3981,592,582,600,480,253,399,224,307,265,392,275,598,473,266,504,291,455,274,1941,2794,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,3996,2116,1925,2238,3540,3316,3173,3426,3480,1811,3913,1861,3943,2087,2649,1984,3645,2180,3922,3925,2322,2396,3402,3789,2651,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958])).
% 54.42/54.17 cnf(4043,plain,
% 54.42/54.17 (P9(a68,f9(a68,f7(a68,x40431)),x40431)),
% 54.42/54.17 inference(rename_variables,[],[2642])).
% 54.42/54.17 cnf(4046,plain,
% 54.42/54.17 (P9(a68,x40461,x40461)),
% 54.42/54.17 inference(rename_variables,[],[447])).
% 54.42/54.17 cnf(4048,plain,
% 54.42/54.17 (~P10(a69,f2(a69),f11(a69,f8(a69,f2(a69),x40481),f8(a69,f2(a69),x40481)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,308,333,562,459,447,3929,3950,448,3975,3982,449,212,405,463,3946,3974,3981,592,582,600,480,253,399,224,307,265,392,275,598,473,266,504,291,455,584,274,1941,2794,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,3996,2116,1925,2238,3540,3316,3173,3426,3480,1811,3913,1861,3943,1837,2087,2649,1984,3645,2180,3922,3925,2642,2322,2396,3402,3789,2651,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463])).
% 54.42/54.17 cnf(4051,plain,
% 54.42/54.17 (P13(f72(a1),f9(f72(a1),f53(f53(f20(f72(a1)),f17(a1,f9(a1,x40511),f17(a1,f3(a1),f2(f72(a1))))),f18(a1,x40511,x40512))),x40512)),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,308,333,562,459,447,3929,3950,448,3975,3982,449,212,405,463,3946,3974,3981,592,582,600,480,253,399,224,307,265,392,275,598,473,266,504,291,455,584,274,1941,2794,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,3996,2116,1925,2238,3540,3316,3173,3935,3426,3480,1811,3913,1861,3943,1837,2087,2649,1984,3645,2180,3922,3925,2642,2322,2342,2396,3402,3789,2651,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082])).
% 54.42/54.17 cnf(4059,plain,
% 54.42/54.17 (~P9(a69,f11(a69,f4(a1,a73),f11(a69,x40591,x40592)),x40592)),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,308,333,562,459,447,3929,3950,448,3975,3982,449,212,405,463,3946,3974,3981,3988,592,582,600,480,253,399,224,307,265,392,275,598,473,266,504,291,455,584,274,1941,2794,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,3996,2116,1925,2238,3540,3316,3173,3935,3426,3480,1811,3913,3388,1861,3943,1837,2184,2087,2649,1984,3645,2180,3922,3925,2642,2322,2342,2396,3402,3789,2651,3631,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537])).
% 54.42/54.17 cnf(4060,plain,
% 54.42/54.17 (~P9(a69,f11(a69,x40601,f11(a69,f4(a1,a73),x40602)),x40602)),
% 54.42/54.17 inference(rename_variables,[],[2184])).
% 54.42/54.17 cnf(4078,plain,
% 54.42/54.17 (P10(a68,f27(a1,f11(a1,f3(a1),f53(f53(f10(a1),f53(f14(a1,a80),f2(a1))),f53(f53(f20(a1),f42(f11(a69,f2(a69),f4(a1,f11(a68,f2(f72(a1)),f3(a68)))),f53(f14(a1,a80),f2(a1)))),f11(a69,f2(a69),f4(a1,f11(a68,f2(f72(a1)),f3(a68)))))))),f3(a68))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,308,322,333,579,562,459,447,3929,3950,448,3975,3982,3989,449,212,336,405,463,3946,3974,3981,3988,592,582,587,495,600,480,253,330,399,407,224,307,265,392,275,598,473,266,504,291,328,455,584,274,1941,2794,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,3996,4035,2116,1925,2238,3540,3316,3173,3935,3426,3480,1811,3913,3388,1861,3943,1837,2184,2087,2649,1984,3645,2180,3922,3925,2642,2322,2342,2396,3402,3789,2651,3631,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778])).
% 54.42/54.17 cnf(4079,plain,
% 54.42/54.17 (~E(f11(a69,x40791,f4(a1,f11(a68,f2(f72(a1)),f3(a68)))),x40791)),
% 54.42/54.17 inference(rename_variables,[],[3858])).
% 54.42/54.17 cnf(4082,plain,
% 54.42/54.17 (P9(a68,x40821,x40821)),
% 54.42/54.17 inference(rename_variables,[],[447])).
% 54.42/54.17 cnf(4093,plain,
% 54.42/54.17 (E(f11(a1,f53(f14(a1,f22(a1,f25(a1,f53(f14(a1,a80),f2(a1))),a80)),f2(a1)),f53(f53(f10(a1),f53(f53(f20(a1),x40931),a44)),f53(f14(a1,f17(a1,a46,a43)),x40931))),f53(f14(a1,f22(a1,f25(a1,f53(f14(a1,a80),f2(a1))),a80)),x40931))),
% 54.42/54.17 inference(rename_variables,[],[568])).
% 54.42/54.17 cnf(4103,plain,
% 54.42/54.17 (~P9(a70,f53(f53(f10(a70),f3(a70)),f3(a70)),f53(f53(f10(a70),f3(a70)),f2(a70)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,308,322,333,579,562,517,568,381,459,447,3929,3950,4046,448,3975,3982,3989,449,212,336,405,463,3946,3974,3981,3988,592,582,587,495,600,480,380,248,253,330,399,407,224,307,265,392,275,598,473,266,504,291,213,328,348,455,584,274,1941,2794,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,2116,1925,2238,3540,3316,3173,3935,3426,3480,1811,3913,3388,1861,3943,1837,2184,2087,2649,1984,3645,2180,3922,3925,2642,3813,2322,2342,2396,3402,3789,2651,3631,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438])).
% 54.42/54.17 cnf(4108,plain,
% 54.42/54.17 (P13(f72(a1),f53(f53(f20(f72(a1)),f53(f53(f20(f72(a1)),f17(a1,f9(a1,x41081),f17(a1,f3(a1),f2(f72(a1))))),f18(a1,x41081,x41082))),x41083),f53(f53(f20(f72(a1)),x41082),x41083))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,308,322,333,579,562,517,568,381,459,447,3929,3950,4046,448,3975,3982,3989,449,212,336,405,463,3946,3974,3981,3988,592,582,587,495,600,480,379,380,248,253,330,399,407,224,307,265,392,275,598,473,266,504,291,213,328,348,455,584,274,1941,2794,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,2116,1925,2238,3540,3316,3173,3935,3426,3480,1811,3913,3388,1861,3943,1837,2184,2087,2170,2649,1984,3645,2180,3922,3925,2642,3813,2322,2342,2396,3402,3789,2651,3631,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431])).
% 54.42/54.17 cnf(4120,plain,
% 54.42/54.17 (P10(a70,x41201,f9(a70,f8(a70,x41202,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x41202,f9(a70,x41201))),f3(a70))),f3(a70)))))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,308,322,333,579,562,517,568,381,459,447,3929,3950,4046,448,3975,3982,3989,449,210,212,336,405,463,3946,3974,3981,3988,592,582,587,495,600,480,379,380,248,253,330,399,407,224,307,265,388,392,275,214,598,473,387,266,504,291,213,328,348,455,584,274,1916,1941,2794,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,2116,1925,2238,3540,3316,3173,3935,3426,3480,1811,3913,3388,1861,3943,1837,2184,2400,2087,2170,2649,1984,3645,2180,3922,3925,2642,3813,2322,2342,2396,3402,3789,2651,3631,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196])).
% 54.42/54.17 cnf(4121,plain,
% 54.42/54.17 (P10(a70,f8(a70,x41211,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x41211,x41212)),f3(a70))),f3(a70))),x41212)),
% 54.42/54.17 inference(rename_variables,[],[2400])).
% 54.42/54.17 cnf(4127,plain,
% 54.42/54.17 (~E(f9(a70,f9(a70,f11(a70,f3(a70),f9(a70,x41271)))),x41271)),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,308,322,333,579,562,517,568,381,459,447,3929,3950,4046,448,3975,3982,3989,449,210,212,229,336,405,463,3946,3974,3981,3988,592,582,587,495,600,480,379,380,248,253,330,399,407,224,307,265,388,392,275,214,598,473,387,266,504,291,213,328,348,455,584,274,1916,1941,2794,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,2116,1925,2085,2238,3540,3316,3173,3935,3426,3480,1811,3913,3388,1861,3943,1837,2184,2400,2087,2170,2649,1984,3645,2180,3922,3925,2642,3813,2322,2342,2396,3402,3789,2651,3631,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723])).
% 54.42/54.17 cnf(4129,plain,
% 54.42/54.17 (~E(x41291,f9(a70,f11(a68,f9(a70,x41291),f3(a68))))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,308,322,333,579,562,517,568,381,459,447,3929,3950,4046,448,3975,3982,3989,449,210,212,229,336,405,463,3946,3974,3981,3988,592,582,587,495,600,480,379,380,248,253,330,399,407,224,307,265,388,392,275,214,598,473,387,266,504,291,213,328,348,455,584,274,1916,1941,2794,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,2116,1925,1975,2085,2238,3540,3316,3173,3935,3426,3480,1811,3913,3388,1861,3943,1837,2184,2400,2087,2170,2649,1984,3645,2180,3922,3925,2642,3813,2322,2342,2396,3402,3789,2651,3631,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721])).
% 54.42/54.17 cnf(4134,plain,
% 54.42/54.17 (P9(a69,x41341,x41341)),
% 54.42/54.17 inference(rename_variables,[],[448])).
% 54.42/54.17 cnf(4137,plain,
% 54.42/54.17 (P10(a68,f2(a68),f11(a68,f26(a69,f24(f9(a68,f2(a68)))),f3(a68)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,308,322,333,579,562,517,568,381,459,447,3929,3950,4046,448,3975,3982,3989,449,210,212,229,336,405,463,3946,3974,3981,3988,592,582,587,495,600,480,379,380,461,248,253,330,399,407,224,307,265,388,392,275,214,598,473,387,266,504,291,213,328,348,455,584,274,1916,1941,2794,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,2116,1925,1975,2085,2238,3540,3316,3173,3935,3426,3480,1811,3913,3388,1861,3943,1837,2184,2400,2087,2170,2649,1984,3645,2180,3922,3925,2642,3404,3813,2322,2342,2396,3402,3789,2651,3631,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184])).
% 54.42/54.17 cnf(4145,plain,
% 54.42/54.17 (P9(f72(a68),f9(f72(a68),f7(f72(a68),f2(f72(a68)))),f2(f72(a68)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,308,322,333,579,562,517,568,381,459,563,447,3929,3950,4046,448,3975,3982,3989,449,210,212,229,336,405,463,3946,3974,3981,3988,592,582,587,495,600,480,379,380,461,248,253,330,399,407,224,307,265,388,392,275,214,598,473,387,266,504,291,213,328,348,455,584,274,1916,1941,2794,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,2116,1925,1975,2085,2238,3540,3316,3173,3935,3426,3480,1811,3913,3388,1861,3943,1837,2184,2400,2087,2170,2649,1984,3645,2180,3922,3925,2642,3410,3404,3813,2298,2322,2342,2396,3402,3789,2651,3631,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151])).
% 54.42/54.17 cnf(4149,plain,
% 54.42/54.17 (E(f12(a70,f3(a70)),f3(a70))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,308,322,333,579,562,517,568,381,459,563,447,3929,3950,4046,4082,448,3975,3982,3989,449,210,212,229,336,405,463,3946,3974,3981,3988,592,582,587,495,600,480,379,380,461,248,253,330,399,407,224,307,265,388,392,275,214,598,473,387,266,504,291,213,328,348,474,455,584,274,1916,1941,2794,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,2116,1925,1975,2085,2238,3540,3316,3173,3935,3426,3480,1811,3913,3388,1861,3943,1837,2184,2400,2087,2170,2649,1984,3645,2180,3922,3925,2642,3410,3404,3813,2298,2322,2342,2396,3402,3789,2651,3631,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972])).
% 54.42/54.17 cnf(4161,plain,
% 54.42/54.17 (~P9(a70,f53(f53(f20(a70),f11(a70,f3(a70),f3(a70))),f58(f53(f20(a70),f11(a70,f3(a70),f3(a70))),a70)),f53(f53(f20(a70),f11(a70,f3(a70),f3(a70))),f56(f53(f20(a70),f11(a70,f3(a70),f3(a70))),a70)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,276,308,315,322,333,579,562,478,517,568,381,459,563,447,3929,3950,4046,4082,448,3975,3982,3989,4134,449,210,212,229,336,405,463,3946,3974,3981,3988,592,582,587,495,600,480,379,380,461,248,253,330,601,399,407,224,307,265,388,392,275,214,598,473,387,266,504,291,213,328,348,474,455,584,274,1916,1941,2794,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,2116,1925,1975,2085,2238,3540,3316,3173,3935,3426,3480,1811,3913,3388,1861,3943,1837,2184,2400,2087,2170,2649,1984,3645,2180,3922,3925,2642,3410,3404,3813,2298,2322,2342,2396,3402,3789,2651,3631,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430])).
% 54.42/54.17 cnf(4170,plain,
% 54.42/54.17 (~E(f12(a68,f11(a68,f7(a68,f2(a68)),f3(a68))),f9(a68,f3(a68)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,254,276,308,315,322,333,579,562,478,517,444,568,381,459,563,447,3929,3950,4046,4082,448,3975,3982,3989,4134,449,210,212,229,336,405,463,3946,3974,3981,3988,592,582,587,495,600,480,602,471,379,380,461,248,253,330,601,399,407,224,349,307,265,388,392,275,214,598,473,387,266,504,291,213,328,348,474,455,584,274,1916,1941,2794,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,2116,1925,1975,2085,2238,3540,3520,3316,3173,3935,3426,3480,1811,3913,3388,1861,3943,1837,2184,2400,2087,2170,2649,1984,3645,2180,3922,3925,2642,3410,3404,3813,2298,2322,2342,2396,3402,3789,2651,3631,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973])).
% 54.42/54.17 cnf(4175,plain,
% 54.42/54.17 (E(f53(f53(f10(a70),x41751),f3(a70)),x41751)),
% 54.42/54.17 inference(rename_variables,[],[445])).
% 54.42/54.17 cnf(4177,plain,
% 54.42/54.17 (~P57(a69)),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,254,276,308,315,322,333,579,562,478,517,444,445,568,381,459,563,447,3929,3950,4046,4082,448,3975,3982,3989,4134,449,210,212,229,336,405,463,3946,3974,3981,3988,592,582,587,495,600,480,602,471,379,380,461,248,253,330,601,399,407,224,349,307,265,388,392,275,214,598,473,387,266,504,291,213,328,348,474,455,584,274,1916,1941,2794,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,2116,1925,1975,2085,2238,3540,3520,3316,3173,3935,3426,3480,1811,3913,3388,1861,3943,3947,1837,2184,2400,2087,2170,2649,1984,3645,2180,3922,3925,2642,3410,3404,3813,2298,2322,2342,2396,3402,3789,2651,3631,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707])).
% 54.42/54.17 cnf(4178,plain,
% 54.42/54.17 (~P10(a69,x41781,f2(a69))),
% 54.42/54.17 inference(rename_variables,[],[592])).
% 54.42/54.17 cnf(4179,plain,
% 54.42/54.17 (P10(a69,x41791,f13(f11(a68,f26(a69,x41791),f3(a68))))),
% 54.42/54.17 inference(rename_variables,[],[1861])).
% 54.42/54.17 cnf(4185,plain,
% 54.42/54.17 (~P9(a70,f11(a70,f53(f53(f10(a70),f11(a70,f11(a70,f3(a70),x41851),x41851)),f11(a70,f11(a70,f3(a70),x41851),x41851)),f53(f53(f10(a70),x41852),x41852)),f2(a70))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,254,276,308,315,322,333,579,562,478,517,444,445,4175,568,381,459,563,447,3929,3950,4046,4082,448,3975,3982,3989,4134,449,210,212,229,336,405,463,3946,3974,3981,3988,592,582,587,495,600,480,602,471,379,380,461,248,253,330,601,399,407,224,349,307,265,388,392,275,214,598,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,2794,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,2116,1925,1975,2085,2238,3540,3520,3316,3173,3935,3426,3480,1811,3913,3388,1861,3943,3947,1837,2184,2400,2087,2170,2649,1984,3645,2180,3922,3925,2642,3410,3404,3813,2298,2322,2342,2396,3402,3789,2651,3631,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740])).
% 54.42/54.17 cnf(4191,plain,
% 54.42/54.17 (P10(a69,f11(a69,f53(f53(f10(a69),x41911),x41912),f53(f53(f10(a69),f8(a69,x41911,x41911)),x41912)),f11(a69,f53(f53(f10(a69),x41911),x41912),f13(f11(a68,f26(a69,f2(a69)),f3(a68)))))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,254,276,308,315,322,333,579,562,478,517,444,445,4175,568,381,459,563,447,3929,3950,4046,4082,448,3975,3982,3989,4134,449,210,212,229,336,405,463,3946,3974,3981,3988,592,582,587,495,600,479,480,602,471,379,380,461,248,253,330,601,399,407,224,349,307,265,388,392,275,214,598,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,2794,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,2116,1925,1975,2085,2238,3540,3520,3316,3173,3935,3426,3474,3480,1811,3913,3388,1861,3943,3947,1837,1955,2184,2400,2087,2170,2649,1984,3645,2180,3922,3925,2642,3410,3404,3813,2298,2322,2342,2358,2396,3402,3789,2651,3631,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790])).
% 54.42/54.17 cnf(4195,plain,
% 54.42/54.17 (~P9(a69,f11(a69,x41951,f11(a69,f4(a1,a73),x41952)),x41952)),
% 54.42/54.17 inference(rename_variables,[],[2184])).
% 54.42/54.17 cnf(4198,plain,
% 54.42/54.17 (~E(f11(a69,x41981,f2(a1)),f11(a69,x41981,a83))),
% 54.42/54.17 inference(rename_variables,[],[2659])).
% 54.42/54.17 cnf(4200,plain,
% 54.42/54.17 (~E(f11(a69,f53(f53(f10(a69),x42001),x42002),f11(a69,f53(f53(f10(a69),f8(a69,x42001,x42001)),x42002),f2(a1))),f11(a69,f53(f53(f10(a69),x42001),x42002),a83))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,254,276,308,315,322,333,579,562,478,517,444,445,4175,568,381,459,563,447,3929,3950,4046,4082,448,3975,3982,3989,4134,449,210,212,229,336,405,463,3946,3974,3981,3988,592,582,587,495,600,479,480,602,471,379,380,461,248,253,330,601,399,407,224,349,307,265,388,392,275,214,598,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,2794,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,2116,1925,1975,2085,2238,3540,3520,3316,3173,3935,3426,3474,2659,4198,3480,1811,3913,3388,1861,3943,3947,1837,1955,2184,4060,2400,2087,2170,2649,1984,3645,2180,3922,3925,2642,3410,3404,3813,2298,2322,2342,2358,2396,3402,3789,2651,3631,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753])).
% 54.42/54.17 cnf(4201,plain,
% 54.42/54.17 (~E(f11(a69,x42011,f2(a1)),f11(a69,x42011,a83))),
% 54.42/54.17 inference(rename_variables,[],[2659])).
% 54.42/54.17 cnf(4207,plain,
% 54.42/54.17 (~P10(a68,f11(a68,f53(f53(f10(a68),x42071),x42072),x42073),f11(a68,f53(f53(f10(a68),x42074),x42072),f11(a68,f53(f53(f10(a68),f8(a68,x42071,x42074)),x42072),x42073)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,254,276,308,315,322,333,579,562,478,517,444,445,4175,568,381,459,563,447,3929,3950,4046,4082,448,3975,3982,3989,4134,449,210,212,229,336,405,463,3946,3974,3981,3988,592,582,587,495,600,479,480,602,471,379,380,461,248,253,330,601,399,407,224,272,349,307,265,388,392,275,214,598,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,2794,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,2116,1925,1975,2085,2238,3540,3520,3316,3173,3935,3426,3474,2659,4198,3480,1811,3913,3968,3388,1861,3943,3947,1837,1955,2184,4060,2400,2087,2170,2649,1984,3645,2180,3922,3925,2642,3410,3404,3813,3376,2298,2322,2342,2358,2396,3402,3789,2651,3631,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787])).
% 54.42/54.17 cnf(4209,plain,
% 54.42/54.17 (~P9(a68,f11(a68,f53(f53(f10(a68),x42091),x42092),f27(a1,f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83))))),f11(a68,f53(f53(f10(a68),x42093),x42092),f11(a68,f53(f53(f10(a68),f8(a68,x42091,x42093)),x42092),f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74))))))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,254,276,308,315,322,333,579,562,478,517,444,445,4175,568,381,459,563,447,3929,3950,4046,4082,448,3975,3982,3989,4134,449,210,212,229,336,405,463,3946,3974,3981,3988,592,582,587,495,600,479,480,602,471,379,380,461,248,253,330,601,399,407,224,272,349,307,265,388,392,275,214,598,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,2794,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,2116,1925,1975,2085,2238,3540,3520,3316,3173,3935,3426,3474,2659,4198,3480,1811,3913,3968,3388,1861,3943,3947,1837,1955,2184,4060,2400,2087,2170,2649,1984,3645,2180,3922,3925,2642,3410,3404,3813,3376,2298,2322,2342,2358,2396,3402,3789,2651,3631,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786])).
% 54.42/54.17 cnf(4211,plain,
% 54.42/54.17 (P10(a70,x42111,f11(a70,f53(f53(f10(a70),f8(a70,x42112,x42113)),x42114),f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,f53(f53(f10(a70),x42112),x42114),f11(a70,f53(f53(f10(a70),x42113),x42114),x42111))),f3(a70))),f3(a70))))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,254,276,308,315,322,333,579,562,478,517,444,445,4175,568,381,459,563,447,3929,3950,4046,4082,448,3975,3982,3989,4134,449,210,212,229,336,405,463,3946,3974,3981,3988,592,582,587,495,600,479,480,602,471,379,380,461,248,253,330,601,399,407,224,272,349,307,265,388,392,273,275,214,598,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,2794,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,2116,1925,1975,2085,2238,3540,3520,3316,3173,3935,3426,3474,2659,4198,3480,1811,3913,3968,3388,1861,3943,3947,1837,1955,2184,4060,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,2642,3410,3404,3813,3376,2298,2322,2342,2358,2396,3402,3789,2651,3631,3368,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785])).
% 54.42/54.17 cnf(4212,plain,
% 54.42/54.17 (P10(a70,x42121,f11(a70,x42122,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x42122,x42121)),f3(a70))),f3(a70))))),
% 54.42/54.17 inference(rename_variables,[],[2402])).
% 54.42/54.17 cnf(4225,plain,
% 54.42/54.17 (P12(a68,f53(f53(f10(f72(a68)),f53(f53(f10(f72(a68)),f17(a68,a81,f13(f26(a69,f2(f72(a68)))))),f17(a68,a81,f13(f26(a69,f2(f72(a68))))))),f53(f53(f10(f72(a68)),f17(a68,a81,f13(f26(a69,f2(f72(a68)))))),f17(a68,a81,f13(f26(a69,f2(f72(a68))))))))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,254,276,308,315,322,333,579,562,478,517,444,445,4175,568,381,459,563,447,3929,3950,4046,4082,448,3975,3982,3989,4134,449,210,212,229,336,405,463,3946,3974,3981,3988,592,582,587,495,600,479,480,602,471,379,380,461,465,248,253,330,601,399,407,224,272,349,307,265,403,388,392,273,275,214,598,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,2794,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,2116,1925,1975,2085,2238,3540,3520,3316,3173,3935,1973,3426,3474,2659,4198,3480,1811,3913,3968,3388,1861,3943,3947,1837,1955,2184,4060,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,2176,2642,3410,3404,3813,3376,2298,2322,2342,2358,2396,3402,3789,2651,3631,3368,2455,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207])).
% 54.42/54.17 cnf(4234,plain,
% 54.42/54.17 (~P10(a68,f26(a69,x42341),f2(a68))),
% 54.42/54.17 inference(rename_variables,[],[598])).
% 54.42/54.17 cnf(4244,plain,
% 54.42/54.17 (~P10(a70,f53(f53(f10(a70),f2(a70)),f2(a70)),f53(f53(f10(a70),f3(a70)),f2(a70)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,308,315,322,333,579,526,562,478,517,444,445,4175,568,381,459,563,447,3929,3950,4046,4082,448,3975,3982,3989,4134,449,210,212,229,336,405,463,3946,3974,3981,3988,592,582,587,495,600,479,480,602,471,379,380,461,465,248,253,330,601,399,407,224,272,349,389,307,265,403,388,392,273,275,214,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,2794,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,2116,1925,1975,2085,2238,3540,3520,3316,3173,3935,3452,1973,3426,3474,3384,2659,4198,3480,1811,3913,3968,1912,3388,1861,3943,3947,1837,1955,2184,4060,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,2176,2642,3410,3404,3813,3376,2298,2302,2322,2342,2358,2396,3402,3789,2651,3631,3368,2455,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649])).
% 54.42/54.17 cnf(4250,plain,
% 54.42/54.17 (~P9(a68,a81,f2(a68))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,308,315,322,333,579,526,562,478,517,444,445,4175,568,381,459,563,447,3929,3950,4046,4082,448,3975,3982,3989,4134,449,210,212,229,296,336,405,463,3946,3974,3981,3988,592,582,587,495,600,479,480,602,471,379,380,461,465,248,253,330,601,399,407,224,272,349,389,307,265,403,388,392,273,275,214,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,2794,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,2116,1925,1975,2085,2238,3302,3540,3520,3316,3173,3935,3452,1973,3426,3474,3384,2659,4198,3480,1811,3913,3968,1912,3388,1861,3943,3947,1837,1955,2184,4060,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,2176,2642,3410,3404,3813,3376,2298,2302,2322,2342,2358,2396,3402,3789,2651,3631,3368,2455,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563])).
% 54.42/54.17 cnf(4260,plain,
% 54.42/54.17 (P9(a69,x42601,x42601)),
% 54.42/54.17 inference(rename_variables,[],[448])).
% 54.42/54.17 cnf(4265,plain,
% 54.42/54.17 (P10(a68,x42651,f11(a68,f26(a69,f24(x42651)),f3(a68)))),
% 54.42/54.17 inference(rename_variables,[],[515])).
% 54.42/54.17 cnf(4267,plain,
% 54.42/54.17 (P9(a70,f2(a70),f53(f53(f10(a70),f53(f53(f10(a70),f2(a70)),f2(a70))),f53(f53(f10(a70),f2(a70)),f2(a70))))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,579,526,562,478,517,444,445,4175,568,381,459,563,447,3929,3950,4046,4082,448,3975,3982,3989,4134,449,210,212,229,296,336,405,463,3946,3974,3981,3988,592,582,587,495,600,479,480,602,471,515,379,380,461,465,248,253,330,601,295,399,407,224,272,349,389,305,307,265,403,388,392,273,275,223,214,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3246,2794,1914,3208,3304,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,2116,1925,1975,2085,2238,3302,1945,3540,3520,3316,3173,3935,3452,1973,3426,3474,3384,2659,4198,3480,1811,3913,3968,1912,3388,1861,3943,3947,1837,1955,2184,4060,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,2176,2642,3410,3404,3813,3376,2298,2302,2322,2342,2358,2396,3723,3402,3789,2651,3965,3631,3368,2455,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450])).
% 54.42/54.17 cnf(4276,plain,
% 54.42/54.17 (P10(a68,x42761,f11(a68,f26(a69,f24(x42761)),f3(a68)))),
% 54.42/54.17 inference(rename_variables,[],[515])).
% 54.42/54.17 cnf(4279,plain,
% 54.42/54.17 (~P10(a70,f53(f53(f10(a70),f2(a70)),x42791),f53(f53(f10(a70),f2(a70)),x42792))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,579,526,562,478,517,444,445,4175,568,381,459,563,447,3929,3950,4046,4082,448,3975,3982,3989,4134,449,210,212,229,296,336,405,463,3946,3974,3981,3988,592,582,587,495,600,479,480,602,471,515,4265,379,380,461,465,248,253,330,601,295,399,417,407,224,272,349,389,305,307,265,403,388,392,273,275,223,214,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3246,2794,1914,3208,3304,3753,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,2116,1925,1975,2085,3743,2238,3302,1945,3540,3520,3316,3173,3935,3452,1973,3426,3474,3384,2659,4198,3480,1811,3913,3968,1912,3388,1861,3943,3947,1837,3828,1955,2184,4060,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,2176,2642,3410,3404,3813,3376,2298,2302,2322,2342,2358,2396,3723,3402,3789,2651,3965,3631,3368,2455,2679,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661])).
% 54.42/54.17 cnf(4280,plain,
% 54.42/54.17 (~P10(a70,x42801,x42801)),
% 54.42/54.17 inference(rename_variables,[],[1912])).
% 54.42/54.17 cnf(4283,plain,
% 54.42/54.17 (P9(a70,x42831,x42831)),
% 54.42/54.17 inference(rename_variables,[],[449])).
% 54.42/54.17 cnf(4286,plain,
% 54.42/54.17 (P9(a70,x42861,x42861)),
% 54.42/54.17 inference(rename_variables,[],[449])).
% 54.42/54.17 cnf(4297,plain,
% 54.42/54.17 (P9(a68,x42971,x42971)),
% 54.42/54.17 inference(rename_variables,[],[447])).
% 54.42/54.17 cnf(4302,plain,
% 54.42/54.17 (P9(a69,x43021,x43021)),
% 54.42/54.17 inference(rename_variables,[],[448])).
% 54.42/54.17 cnf(4303,plain,
% 54.42/54.17 (P9(a69,f2(a69),x43031)),
% 54.42/54.17 inference(rename_variables,[],[463])).
% 54.42/54.17 cnf(4306,plain,
% 54.42/54.17 (P9(a69,x43061,x43061)),
% 54.42/54.17 inference(rename_variables,[],[448])).
% 54.42/54.17 cnf(4307,plain,
% 54.42/54.17 (P9(a69,f2(a69),x43071)),
% 54.42/54.17 inference(rename_variables,[],[463])).
% 54.42/54.17 cnf(4310,plain,
% 54.42/54.17 (~E(f11(a69,x43101,f4(a1,f11(a68,f2(f72(a1)),f3(a68)))),x43101)),
% 54.42/54.17 inference(rename_variables,[],[3858])).
% 54.42/54.17 cnf(4320,plain,
% 54.42/54.17 (P10(a69,f11(a69,a78,f3(a69)),f11(a69,x43201,f4(a1,a73)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,579,526,562,478,517,444,445,4175,568,381,459,563,447,3929,3950,4046,4082,448,3975,3982,3989,4134,4260,4302,449,3978,4283,210,212,229,233,237,245,296,336,405,463,3946,3974,3981,3988,4303,592,582,587,495,600,479,480,602,471,515,4265,379,380,461,465,241,246,248,253,330,601,295,306,399,417,407,516,224,272,324,349,389,305,307,265,403,388,392,273,275,223,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,3246,2794,1914,3208,3304,3753,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,2116,1925,1975,3769,2085,3743,2238,3302,1945,3540,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,1912,3388,1861,3943,3947,1837,3828,1955,2184,4060,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,2176,2642,3410,3404,3813,3376,2298,2302,2322,2342,2358,2396,3723,3402,3789,2651,3965,3631,3368,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255])).
% 54.42/54.17 cnf(4322,plain,
% 54.42/54.17 (~P9(a68,f11(a68,f26(a69,f2(a69)),f3(a68)),f2(a68))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,579,526,562,478,517,444,445,4175,568,381,459,563,447,3929,3950,4046,4082,448,3975,3982,3989,4134,4260,4302,449,3978,4283,210,212,229,233,237,245,296,336,405,463,3946,3974,3981,3988,4303,592,582,587,495,600,479,480,602,471,515,4265,379,380,461,465,241,246,248,253,330,601,295,306,399,417,407,516,224,272,324,349,389,305,307,265,403,388,392,273,275,223,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,3246,2794,1914,3208,3304,3753,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,2116,1925,1975,3769,2085,3743,2238,3302,1945,3540,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,1912,3388,1861,3943,3947,1837,3828,1955,2184,4060,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,2176,2642,3410,3404,3813,3376,2298,2302,2322,2342,2358,2396,3723,3402,3789,2651,3965,3631,3368,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888])).
% 54.42/54.17 cnf(4328,plain,
% 54.42/54.17 (E(x43281,f11(a69,x43281,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x43282)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,579,526,562,478,517,444,445,4175,568,381,459,563,447,3929,3950,4046,4082,448,3975,3982,3989,4134,4260,4302,449,3978,4283,589,210,212,229,233,237,245,296,336,405,463,3946,3974,3981,3988,4303,592,582,587,495,600,479,480,602,471,515,4265,379,380,461,465,241,246,248,253,330,601,295,306,399,417,407,516,224,272,324,349,389,305,307,265,403,388,392,273,275,223,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,3246,2794,1914,3208,3304,3753,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,2116,1925,1975,3769,2085,3743,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,1912,3388,3614,1861,3943,3947,1837,3828,1955,2184,4060,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,2176,2642,3410,3404,3813,3376,2298,2302,2322,2342,2358,2396,3723,3402,3789,2651,3965,3631,3368,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066])).
% 54.42/54.17 cnf(4342,plain,
% 54.42/54.17 (P9(a69,x43421,f11(a69,x43422,x43421))),
% 54.42/54.17 inference(rename_variables,[],[495])).
% 54.42/54.17 cnf(4344,plain,
% 54.42/54.17 (E(f2(a70),f53(f53(f20(a70),f7(a70,f9(a70,f2(a70)))),f4(a1,f11(a68,f2(f72(a1)),f3(a68)))))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,579,526,562,478,517,444,445,4175,568,381,459,563,447,3929,3950,4046,4082,448,3975,3982,3989,4134,4260,4302,449,3978,4283,589,210,212,229,233,237,245,296,336,405,463,3946,3974,3981,3988,4303,592,582,587,495,600,479,480,602,471,515,4265,379,380,461,465,241,246,248,253,330,601,295,306,399,417,407,516,224,272,324,349,389,305,307,396,265,403,388,392,273,275,223,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,3246,2794,1914,3208,3304,3753,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,2116,1925,1975,3769,2085,3743,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,1912,2859,3388,3614,1861,3943,3947,1837,3828,1955,2184,4060,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,2176,2642,3410,3404,3813,3376,2298,2302,2322,2342,2358,2396,3723,3402,3789,2651,3965,3631,3236,3368,3566,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012])).
% 54.42/54.17 cnf(4345,plain,
% 54.42/54.17 (P9(a70,f2(a70),f53(f53(f20(a70),f7(a70,x43451)),x43452))),
% 54.42/54.17 inference(rename_variables,[],[516])).
% 54.42/54.17 cnf(4347,plain,
% 54.42/54.17 (P10(a70,f2(a70),f11(a70,f11(a70,f3(a70),f3(a70)),f3(a70)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,579,526,562,478,517,444,445,4175,568,381,459,563,447,3929,3950,4046,4082,448,3975,3982,3989,4134,4260,4302,449,3978,4283,589,210,212,229,233,237,245,296,336,405,463,3946,3974,3981,3988,4303,592,582,587,495,600,479,480,602,471,515,4265,379,380,461,465,241,246,248,253,330,601,295,306,399,417,407,516,224,272,324,349,389,305,307,396,265,403,388,392,273,275,223,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,3246,2794,1914,3208,3304,3753,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,2116,1925,1975,3769,2085,3743,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,1912,2859,3388,3614,1861,3943,3947,1837,3828,1955,2184,4060,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,2176,2642,3410,3404,3813,3376,2298,2302,2322,2342,2358,2396,3723,3402,3789,2651,3965,3631,3236,2752,3368,3566,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932])).
% 54.42/54.17 cnf(4348,plain,
% 54.42/54.17 (~E(f11(a70,f11(a70,f3(a70),x43481),x43481),f2(a70))),
% 54.42/54.17 inference(rename_variables,[],[601])).
% 54.42/54.17 cnf(4352,plain,
% 54.42/54.17 (P9(a68,f53(f53(f10(a68),f25(a68,f2(a68))),f25(a68,f2(a68))),f2(a68))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,579,526,562,478,517,444,445,4175,568,381,459,563,447,3929,3950,4046,4082,448,3975,3982,3989,4134,4260,4302,449,3978,4283,589,210,212,229,233,237,245,296,336,405,463,3946,3974,3981,3988,4303,592,582,587,495,600,479,480,602,471,515,4265,379,380,461,465,241,246,248,253,330,601,295,306,399,417,407,516,224,272,324,349,389,305,307,396,265,403,388,392,273,275,223,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,3246,2794,1914,3208,3304,3753,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,2116,1925,1975,3769,2085,3743,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,1912,2859,3388,3614,1861,3943,3947,1837,3828,1955,2184,4060,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,2176,2642,3410,3404,3813,3376,2298,2302,2322,2342,2358,2396,3723,3402,3789,2651,3965,3631,3236,2752,3368,3566,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155])).
% 54.42/54.17 cnf(4361,plain,
% 54.42/54.17 (~P9(a68,f7(a68,f11(a68,x43611,f11(a68,f26(a69,f24(f3(a68))),f3(a68)))),x43611)),
% 54.42/54.17 inference(rename_variables,[],[2180])).
% 54.42/54.17 cnf(4363,plain,
% 54.42/54.17 (~E(f53(f53(f20(f72(a1)),f11(a69,f2(f72(a1)),f4(a1,f11(a68,f2(f72(a1)),f3(a68))))),x43631),f2(f72(a1)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,579,526,562,478,517,444,445,4175,568,381,459,563,447,3929,3950,4046,4082,448,3975,3982,3989,4134,4260,4302,449,3978,4283,589,210,212,229,233,237,245,296,336,405,463,3946,3974,3981,3988,4303,592,582,587,495,600,479,480,602,471,515,4265,379,380,461,465,241,246,248,253,330,601,295,306,399,417,407,516,224,272,324,349,389,305,307,396,265,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,3246,2794,1914,3208,3304,3753,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,1912,2859,3388,3614,1861,3943,3947,1837,3828,1955,2184,4060,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2651,3965,3631,3236,2752,3368,3566,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913])).
% 54.42/54.17 cnf(4368,plain,
% 54.42/54.17 (E(f53(f53(f10(a70),f3(a70)),x43681),x43681)),
% 54.42/54.17 inference(rename_variables,[],[452])).
% 54.42/54.17 cnf(4376,plain,
% 54.42/54.17 (~E(f53(f53(f10(f72(a68)),f17(a68,f3(a68),x43761)),f17(a68,f3(a68),x43761)),f2(f72(a68)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,579,526,562,478,517,444,445,4175,451,452,4368,568,381,459,563,447,3929,3950,4046,4082,448,3975,3982,3989,4134,4260,4302,449,3978,4283,589,210,212,229,233,237,245,296,336,405,463,3946,3974,3981,3988,4303,592,582,587,495,600,479,480,602,471,515,4265,379,380,461,465,241,246,248,253,287,330,601,295,306,399,417,407,516,224,272,324,349,389,305,307,396,265,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,3246,2794,1914,3208,3304,3753,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,1912,3791,2859,3388,3614,1861,3943,3947,1837,3828,1955,2184,4060,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2651,3965,3631,3236,2752,3368,3566,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810])).
% 54.42/54.17 cnf(4379,plain,
% 54.42/54.17 (~P10(a69,f11(a69,x43791,x43792),x43792)),
% 54.42/54.17 inference(rename_variables,[],[599])).
% 54.42/54.17 cnf(4382,plain,
% 54.42/54.17 (P9(a68,x43821,x43821)),
% 54.42/54.17 inference(rename_variables,[],[447])).
% 54.42/54.17 cnf(4385,plain,
% 54.42/54.17 (P9(a68,x43851,x43851)),
% 54.42/54.17 inference(rename_variables,[],[447])).
% 54.42/54.17 cnf(4388,plain,
% 54.42/54.17 (~P10(a68,f53(f53(f10(a68),x43881),x43881),f2(a68))),
% 54.42/54.17 inference(rename_variables,[],[2636])).
% 54.42/54.17 cnf(4391,plain,
% 54.42/54.17 (E(f9(a70,f9(a70,x43911)),x43911)),
% 54.42/54.17 inference(rename_variables,[],[442])).
% 54.42/54.17 cnf(4393,plain,
% 54.42/54.17 (~E(f11(a69,f11(a69,f4(a1,f11(a68,f2(f72(a1)),f3(a68))),f2(a69)),f11(a69,f4(a1,f11(a68,f2(f72(a1)),f3(a68))),f2(a69))),f2(a69))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,579,526,562,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,448,3975,3982,3989,4134,4260,4302,449,3978,4283,589,210,212,229,233,237,245,296,336,405,463,3946,3974,3981,3988,4303,592,582,587,495,4342,599,600,479,480,602,471,515,4265,379,380,461,465,241,246,248,253,287,330,601,295,306,399,417,407,516,224,272,324,349,389,305,307,390,396,404,265,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,3246,2794,1914,3208,3304,3753,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,1912,2423,3791,2859,3388,3614,1861,3943,3947,1837,2104,3828,1955,2184,4060,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,2752,3368,3566,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344])).
% 54.42/54.17 cnf(4394,plain,
% 54.42/54.17 (P9(a69,x43941,f11(a69,x43942,x43941))),
% 54.42/54.17 inference(rename_variables,[],[495])).
% 54.42/54.17 cnf(4398,plain,
% 54.42/54.17 (P9(a69,x43981,x43981)),
% 54.42/54.17 inference(rename_variables,[],[448])).
% 54.42/54.17 cnf(4399,plain,
% 54.42/54.17 (P9(a69,f2(a69),x43991)),
% 54.42/54.17 inference(rename_variables,[],[463])).
% 54.42/54.17 cnf(4401,plain,
% 54.42/54.17 (E(f11(a69,f53(f53(f10(a69),f8(a69,x44011,x44011)),x44012),f2(a69)),f2(a69))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,579,526,562,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,448,3975,3982,3989,4134,4260,4302,4306,449,3978,4283,589,210,212,229,233,237,245,296,336,405,463,3946,3974,3981,3988,4303,4307,592,582,587,495,4342,599,600,479,480,602,471,515,4265,379,380,461,465,241,246,248,253,287,330,601,295,306,399,417,407,516,224,272,324,349,389,305,307,390,396,404,265,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,3246,2794,1914,3208,3304,3753,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,1912,2423,3791,2859,3388,3614,1861,3943,3947,1837,2101,2104,3828,1955,2184,4060,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,2752,3368,3566,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749])).
% 54.42/54.17 cnf(4402,plain,
% 54.42/54.17 (~P10(a69,x44021,f11(a69,f53(f53(f10(a69),f8(a69,x44022,x44022)),x44023),x44021))),
% 54.42/54.17 inference(rename_variables,[],[2101])).
% 54.42/54.17 cnf(4404,plain,
% 54.42/54.17 (~P9(a70,f11(a70,x44041,f3(a70)),x44041)),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,579,526,562,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,448,3975,3982,3989,4134,4260,4302,4306,449,3978,4283,589,210,212,229,233,237,245,296,336,405,463,3946,3974,3981,3988,4303,4307,592,582,587,495,4342,599,600,479,480,602,471,515,4265,379,380,461,465,241,246,248,253,287,330,601,295,306,399,417,407,516,224,272,324,349,389,305,307,390,396,404,265,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,3246,2794,1914,3208,3304,3753,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,1912,4280,2423,3791,2859,3388,3614,1861,3943,3947,1837,2101,2104,3828,1955,2184,4060,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,2752,3368,3566,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363])).
% 54.42/54.17 cnf(4411,plain,
% 54.42/54.17 (~P9(a69,f11(a69,f13(f11(a68,f26(a69,f2(a69)),f3(a68))),x44111),x44111)),
% 54.42/54.17 inference(rename_variables,[],[2164])).
% 54.42/54.17 cnf(4417,plain,
% 54.42/54.17 (P10(a69,f2(a69),a44)),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,579,526,562,561,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,448,3975,3982,3989,4134,4260,4302,4306,449,3978,4283,589,210,212,229,233,237,245,296,336,405,463,3946,3974,3981,3988,4303,4307,4399,592,582,587,495,4342,599,600,479,480,602,471,515,4265,379,380,461,465,241,246,248,253,287,330,601,295,306,399,417,407,516,224,272,324,349,389,305,307,390,396,404,265,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,3246,2794,1914,3208,3304,3753,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,1912,4280,2423,3791,2859,3388,3614,1861,3943,3947,1837,2101,2104,3828,1955,2164,2184,4060,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,2752,3368,3566,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011])).
% 54.42/54.17 cnf(4418,plain,
% 54.42/54.17 (P9(a69,f2(a69),x44181)),
% 54.42/54.17 inference(rename_variables,[],[463])).
% 54.42/54.17 cnf(4424,plain,
% 54.42/54.17 (P9(a68,x44241,x44241)),
% 54.42/54.17 inference(rename_variables,[],[447])).
% 54.42/54.17 cnf(4427,plain,
% 54.42/54.17 (P9(a68,x44271,x44271)),
% 54.42/54.17 inference(rename_variables,[],[447])).
% 54.42/54.17 cnf(4432,plain,
% 54.42/54.17 (P9(a69,x44321,x44321)),
% 54.42/54.17 inference(rename_variables,[],[448])).
% 54.42/54.17 cnf(4434,plain,
% 54.42/54.17 (P10(a68,f2(a68),f27(a1,f53(f14(a1,a80),f2(a1))))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,579,526,562,561,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,449,3978,4283,589,210,212,229,233,237,245,296,336,405,463,3946,3974,3981,3988,4303,4307,4399,592,582,587,495,4342,599,600,479,480,602,471,515,4265,379,380,461,465,241,246,248,253,287,330,601,295,306,399,417,407,516,224,272,324,349,389,305,307,390,396,404,265,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,1837,2101,2104,3828,1955,2164,2184,4060,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,2752,3368,3566,2421,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886])).
% 54.42/54.17 cnf(4443,plain,
% 54.42/54.17 (~P10(a68,x44431,x44431)),
% 54.42/54.17 inference(rename_variables,[],[1811])).
% 54.42/54.17 cnf(4445,plain,
% 54.42/54.17 (P10(a70,f2(a70),f11(a70,f53(f53(f10(a70),x44451),x44451),f53(f53(f10(a70),f11(a70,f11(a70,f3(a70),x44452),x44452)),f11(a70,f11(a70,f3(a70),x44452),x44452))))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,579,526,562,561,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,449,3978,4283,589,210,212,229,233,237,245,296,336,405,463,3946,3974,3981,3988,4303,4307,4399,592,582,587,495,4342,599,600,479,480,602,471,515,4265,379,380,461,465,241,246,248,253,287,330,601,4348,295,306,399,417,407,516,224,272,324,349,389,305,307,390,396,404,265,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,1837,2101,2104,3828,1955,2164,2184,4060,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,2752,3368,3566,2421,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690])).
% 54.42/54.17 cnf(4447,plain,
% 54.42/54.17 (P10(a69,f11(a69,f53(f53(f10(a69),x44471),x44472),x44473),f11(a69,f53(f53(f10(a69),x44471),x44472),f13(f11(a68,f26(a69,f11(a69,f53(f53(f10(a69),f8(a69,x44471,x44471)),x44472),x44473)),f3(a68)))))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,579,526,562,561,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,589,210,212,229,233,237,245,296,336,405,463,3946,3974,3981,3988,4303,4307,4399,592,582,587,495,4342,599,600,479,480,602,471,515,4265,379,380,461,465,241,246,248,253,287,330,601,4348,295,306,399,417,407,516,224,272,324,349,389,305,307,390,396,404,265,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,1837,2101,2104,3828,1955,2164,2184,4060,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,2752,3368,3566,2421,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792])).
% 54.42/54.17 cnf(4448,plain,
% 54.42/54.17 (P10(a69,x44481,f13(f11(a68,f26(a69,x44481),f3(a68))))),
% 54.42/54.17 inference(rename_variables,[],[1861])).
% 54.42/54.17 cnf(4451,plain,
% 54.42/54.17 (~P9(a69,f11(a69,x44511,f11(a69,f4(a1,a73),x44512)),x44512)),
% 54.42/54.17 inference(rename_variables,[],[2184])).
% 54.42/54.17 cnf(4454,plain,
% 54.42/54.17 (~P9(a69,f11(a69,f13(f11(a68,f26(a69,f2(a69)),f3(a68))),x44541),x44541)),
% 54.42/54.17 inference(rename_variables,[],[2164])).
% 54.42/54.17 cnf(4457,plain,
% 54.42/54.17 (P10(a68,x44571,f11(a68,f26(a69,f24(x44571)),f3(a68)))),
% 54.42/54.17 inference(rename_variables,[],[515])).
% 54.42/54.17 cnf(4459,plain,
% 54.42/54.17 (P9(a68,f2(a68),f11(a68,f26(a69,x44591),f26(a69,x44591)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,579,526,562,561,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,589,210,212,229,233,237,245,296,336,405,463,3946,3974,3981,3988,4303,4307,4399,592,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,461,465,241,246,248,253,287,330,601,4348,295,306,399,417,407,516,224,272,324,349,389,305,307,390,396,404,265,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,1837,2101,2104,3828,1955,2164,4411,2184,4060,4195,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,2752,3368,3566,2421,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424])).
% 54.42/54.17 cnf(4461,plain,
% 54.42/54.17 (P10(a69,f11(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69))),f11(a69,f4(a1,a73),f4(a1,a73)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,579,526,562,561,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,592,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,461,465,241,246,248,253,287,330,601,4348,295,306,399,417,407,516,224,272,324,349,389,305,307,390,396,404,265,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,1837,2101,2104,3828,1955,2164,4411,2184,4060,4195,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,2752,3368,3566,2421,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559])).
% 54.42/54.17 cnf(4463,plain,
% 54.42/54.17 (~P9(a68,f53(f53(f10(a68),a33),f27(a1,f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83))))),f53(f53(f10(a68),a33),f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74)))))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,579,526,562,561,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,592,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,461,465,241,246,248,253,287,330,601,4348,295,306,399,417,407,516,224,272,324,349,389,305,307,390,396,404,265,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,1837,2101,2104,3828,1955,2164,4411,2184,4060,4195,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,2752,3368,3566,2421,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677])).
% 54.42/54.17 cnf(4465,plain,
% 54.42/54.17 (P10(a70,f11(a70,f11(a70,f8(a70,f3(a70),f11(a70,f3(a70),f3(a70))),f8(a70,f3(a70),f11(a70,f3(a70),f3(a70)))),f11(a70,f8(a70,f3(a70),f11(a70,f3(a70),f3(a70))),f8(a70,f3(a70),f11(a70,f3(a70),f3(a70))))),f2(a70))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,579,526,562,561,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,592,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,461,465,241,246,248,253,287,330,601,4348,295,306,391,399,417,407,516,224,272,324,349,389,305,307,390,396,404,265,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,1837,2101,2104,3828,1955,2164,4411,2184,4060,4195,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,2752,3368,3566,2421,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471])).
% 54.42/54.17 cnf(4470,plain,
% 54.42/54.17 (~P9(a69,f11(a69,f13(f11(a68,f26(a69,f2(a69)),f3(a68))),x44701),x44701)),
% 54.42/54.17 inference(rename_variables,[],[2164])).
% 54.42/54.17 cnf(4472,plain,
% 54.42/54.17 (P9(a71,f4(a1,a73),f4(a1,a32))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,406,579,526,562,561,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,592,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,461,465,241,246,248,253,287,330,601,4348,295,306,391,399,417,407,516,224,272,324,349,389,305,307,390,396,404,265,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,1837,2101,2104,3828,1955,2164,4411,4454,2184,4060,4195,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,2752,3368,3566,2421,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768])).
% 54.42/54.17 cnf(4474,plain,
% 54.42/54.17 (P10(a70,f9(a70,f3(a70)),f2(a70))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,406,579,526,562,561,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,592,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,461,465,241,246,248,253,287,330,601,4348,295,306,391,399,417,407,516,224,272,324,349,389,305,307,390,396,404,265,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,1837,2101,2104,3828,1955,2164,4411,4454,2184,4060,4195,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,2752,3368,3566,2421,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153])).
% 54.42/54.17 cnf(4476,plain,
% 54.42/54.17 (P10(a70,f9(a70,f3(a70)),f3(a70))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,406,579,526,562,561,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,592,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,394,461,465,241,246,248,253,287,330,601,4348,295,306,391,399,417,407,516,224,272,324,349,389,305,307,390,396,404,265,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,1837,2101,2104,3828,1955,2164,4411,4454,2184,4060,4195,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,2752,3368,3566,2421,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170])).
% 54.42/54.17 cnf(4478,plain,
% 54.42/54.17 (~P9(a69,f53(f53(f20(a69),f13(f11(a68,f26(a69,f3(a69)),f3(a68)))),f4(a1,f11(a68,f2(f72(a1)),f3(a68)))),f53(f53(f20(a69),f13(f11(a68,f26(a69,f3(a69)),f3(a68)))),f2(a69)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,406,579,526,562,561,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,592,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,394,461,465,241,246,248,253,287,330,601,4348,295,306,391,399,417,407,516,224,272,324,349,389,305,307,390,396,404,265,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,2101,2104,3828,1955,2164,4411,4454,2184,4060,4195,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,2752,3368,3566,2421,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672])).
% 54.42/54.17 cnf(4479,plain,
% 54.42/54.17 (P10(a69,x44791,f13(f11(a68,f26(a69,x44791),f3(a68))))),
% 54.42/54.17 inference(rename_variables,[],[1861])).
% 54.42/54.17 cnf(4483,plain,
% 54.42/54.17 (P10(a70,f11(a70,x44831,f2(a70)),f11(a70,x44831,f3(a70)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,4286,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,592,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,394,461,465,241,246,248,253,287,330,601,4348,295,306,391,399,417,407,516,224,272,324,349,389,305,307,390,396,404,265,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,2101,2104,3828,1955,2164,4411,4454,2184,4060,4195,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,2752,3368,3566,2421,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558])).
% 54.42/54.17 cnf(4485,plain,
% 54.42/54.17 (~P10(a68,f9(a68,f53(f53(f10(a68),f25(a68,f2(a68))),f25(a68,f2(a68)))),f53(f53(f10(a68),f25(a68,f2(a68))),f25(a68,f2(a68))))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,4286,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,592,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,394,461,465,241,246,248,253,287,330,601,4348,295,306,391,399,417,407,516,224,272,324,349,389,305,307,390,396,404,265,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,2101,2104,3828,1955,2164,4411,4454,2184,4060,4195,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323])).
% 54.42/54.17 cnf(4505,plain,
% 54.42/54.17 (~P9(a69,f11(a69,f11(a69,f13(f11(a68,f26(a69,f2(a69)),f3(a68))),f8(a69,x45051,x45051)),x45051),x45051)),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,4286,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,592,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,394,461,465,241,246,248,253,287,330,601,4348,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,2101,2104,3828,1955,2164,4411,4454,4470,2184,4060,4195,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610])).
% 54.42/54.17 cnf(4506,plain,
% 54.42/54.17 (~P9(a69,f11(a69,f13(f11(a68,f26(a69,f2(a69)),f3(a68))),x45061),x45061)),
% 54.42/54.17 inference(rename_variables,[],[2164])).
% 54.42/54.17 cnf(4508,plain,
% 54.42/54.17 (~P9(a69,f4(a1,a73),f11(a69,a78,f3(a69)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,4286,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,592,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,2101,2104,3828,1955,2164,4411,4454,4470,2184,4060,4195,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238])).
% 54.42/54.17 cnf(4510,plain,
% 54.42/54.17 (~P9(a69,f4(a1,a73),f2(a69))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,4286,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,592,4178,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,2101,2104,3828,1955,2164,4411,4454,4470,2184,4060,4195,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237])).
% 54.42/54.17 cnf(4514,plain,
% 54.42/54.17 (~P9(a68,f53(f53(f10(a68),f3(a68)),f3(a68)),f2(a68))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,4286,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,592,4178,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,2101,2104,3828,1955,2164,4411,4454,4470,2184,4060,4195,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119])).
% 54.42/54.17 cnf(4521,plain,
% 54.42/54.17 (P9(a70,x45211,x45211)),
% 54.42/54.17 inference(rename_variables,[],[449])).
% 54.42/54.17 cnf(4523,plain,
% 54.42/54.17 (~P9(a68,f25(a68,f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74)),a54)),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,4286,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,592,4178,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,2101,2104,3828,1955,2164,4411,4454,4470,2184,4060,4195,2400,2402,2087,2170,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234])).
% 54.42/54.17 cnf(4527,plain,
% 54.42/54.17 (~P10(a69,f11(a69,f13(f11(a68,f26(a69,f2(a69)),f3(a68))),f11(a69,f2(a69),f11(a69,x45271,f2(a69)))),x45271)),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,4286,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,592,4178,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,2101,2104,3828,1955,2164,4411,4454,4470,2184,4060,4195,2400,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996])).
% 54.42/54.17 cnf(4529,plain,
% 54.42/54.17 (P9(a68,f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74)))),f53(f53(f10(a68),a81),f27(a1,f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83))))))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,4286,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,592,4178,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,2101,2104,3828,1955,2164,4411,4454,4470,2184,4060,4195,2400,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924])).
% 54.42/54.17 cnf(4531,plain,
% 54.42/54.17 (~P9(a68,f7(a68,f27(a1,f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83))))),f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74))))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,4286,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,592,4178,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,2101,2104,3828,1955,2164,4411,4454,4470,2184,4060,4195,2400,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077])).
% 54.42/54.17 cnf(4533,plain,
% 54.42/54.17 (~E(f11(a70,x45331,f3(a70)),x45331)),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,4286,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,592,4178,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,2101,2104,3828,1955,2164,4411,4454,4470,2184,4060,4195,2400,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064])).
% 54.42/54.17 cnf(4534,plain,
% 54.42/54.17 (~P10(a70,x45341,x45341)),
% 54.42/54.17 inference(rename_variables,[],[1912])).
% 54.42/54.17 cnf(4536,plain,
% 54.42/54.17 (~E(x45361,f9(a70,f11(a70,f3(a70),f11(a1,f53(f53(f10(a1),f8(a1,x45362,x45362)),x45363),x45361))))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,4286,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,592,4178,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,2122,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,2101,2104,3828,1955,2164,4411,4454,4470,2184,4060,4195,2400,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21])).
% 54.42/54.17 cnf(4541,plain,
% 54.42/54.17 (P10(a70,x45411,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x45411,f2(a70))),f3(a70))),f3(a70)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,4286,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,592,4178,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,2122,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,2101,2104,3828,1955,2164,4411,4454,4470,2184,4060,4195,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360])).
% 54.42/54.17 cnf(4542,plain,
% 54.42/54.17 (P10(a70,f8(a70,x45421,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x45421,x45422)),f3(a70))),f3(a70))),x45422)),
% 54.42/54.17 inference(rename_variables,[],[2400])).
% 54.42/54.17 cnf(4546,plain,
% 54.42/54.17 (~E(a81,f2(a68))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,4286,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,592,4178,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,2101,2104,3828,1955,2164,4411,4454,4470,2184,4060,4195,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245])).
% 54.42/54.17 cnf(4548,plain,
% 54.42/54.17 (~E(f3(a68),f9(a68,f3(a68)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,4286,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,592,4178,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,2101,2104,3828,1955,2164,4411,4454,4470,2184,4060,4195,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818])).
% 54.42/54.17 cnf(4550,plain,
% 54.42/54.17 (~P10(a68,f2(a68),f11(a68,x45501,f9(a68,f11(a68,f7(a68,f9(a68,f9(a68,x45501))),f3(a68)))))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,4286,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,592,4178,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,2101,2104,3828,1955,2164,4411,4454,4470,2184,4060,4195,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,1997,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391])).
% 54.42/54.17 cnf(4551,plain,
% 54.42/54.17 (~P10(a68,x45511,f9(a68,f11(a68,f7(a68,f9(a68,x45511)),f3(a68))))),
% 54.42/54.17 inference(rename_variables,[],[1997])).
% 54.42/54.17 cnf(4557,plain,
% 54.42/54.17 (P14(a69,f11(a69,f53(f10(a69),f2(a69)),f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x45571)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,478,517,444,445,4175,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,4286,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,592,4178,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,2184,4060,4195,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,1997,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3516,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194])).
% 54.42/54.17 cnf(4558,plain,
% 54.42/54.17 (~P11(a1,a1,f8(a69,f8(a69,f11(a69,f14(a1,a79),f11(a69,x45581,x45582)),x45581),x45582))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,478,517,444,445,4175,522,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,4286,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,592,4178,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,2184,4060,4195,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,1997,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3516,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145])).
% 54.42/54.17 cnf(4562,plain,
% 54.42/54.17 (P13(f11(a69,f53(f53(f10(a69),f8(a69,f2(a69),f2(a69))),x45621),f72(a1)),f53(f53(f20(f72(a1)),f17(a1,f9(a1,x45622),f17(a1,f3(a1),f2(f72(a1))))),f18(a1,x45622,f4(a1,a73))),f4(a1,a73))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,478,517,444,445,4175,522,451,452,4368,568,381,442,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,4286,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,592,4178,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,2184,4060,4195,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,1997,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3516,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129])).
% 54.42/54.17 cnf(4563,plain,
% 54.42/54.17 (~P32(f9(a70,f9(a70,a69)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,478,517,444,445,4175,522,451,452,4368,568,381,442,4391,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,4286,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,592,4178,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,2184,4060,4195,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,1997,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3516,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124])).
% 54.42/54.17 cnf(4565,plain,
% 54.42/54.17 (E(f9(a70,f9(a70,x45651)),x45651)),
% 54.42/54.17 inference(rename_variables,[],[442])).
% 54.42/54.17 cnf(4567,plain,
% 54.42/54.17 (E(f9(a70,f9(a70,x45671)),x45671)),
% 54.42/54.17 inference(rename_variables,[],[442])).
% 54.42/54.17 cnf(4569,plain,
% 54.42/54.17 (E(f9(a70,f9(a70,x45691)),x45691)),
% 54.42/54.17 inference(rename_variables,[],[442])).
% 54.42/54.17 cnf(4571,plain,
% 54.42/54.17 (P9(a69,f2(a69),x45711)),
% 54.42/54.17 inference(rename_variables,[],[463])).
% 54.42/54.17 cnf(4573,plain,
% 54.42/54.17 (~P10(a68,f3(a68),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,564,478,517,444,445,4175,522,451,452,4368,568,381,442,4391,4565,4567,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,4286,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,592,4178,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,2184,4060,4195,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,1997,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3516,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098])).
% 54.42/54.17 cnf(4577,plain,
% 54.42/54.17 (~P10(a71,f4(a1,a73),f4(a1,a32))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,564,478,517,444,445,4175,522,451,452,4368,568,381,442,4391,4565,4567,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,4286,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,592,4178,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,3426,3474,3384,2144,2659,4198,3480,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,2184,4060,4195,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,1997,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3516,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899])).
% 54.42/54.17 cnf(4582,plain,
% 54.42/54.17 (~E(f11(a70,f11(a70,f3(a70),x45821),x45821),f2(a70))),
% 54.42/54.17 inference(rename_variables,[],[601])).
% 54.42/54.17 cnf(4590,plain,
% 54.42/54.17 (P10(a70,f11(a70,f2(a70),x45901),f11(a70,f11(a70,f3(a70),f3(a70)),x45901))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,564,478,517,444,445,4175,522,451,452,4368,446,568,381,442,4391,4565,4567,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,4286,4521,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,592,4178,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,3426,3474,3384,2144,2659,4198,3480,3228,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,2184,4060,4195,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,1997,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3516,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541])).
% 54.42/54.17 cnf(4606,plain,
% 54.42/54.17 (~P9(a70,f9(a70,f9(a70,f3(a70))),f9(a70,f3(a70)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,564,478,517,444,445,4175,522,451,452,4368,446,568,381,442,4391,4565,4567,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,4286,4521,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,592,4178,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,3426,3474,3384,2144,2659,4198,3480,3228,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,2184,4060,4195,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,1997,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3516,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157])).
% 54.42/54.17 cnf(4612,plain,
% 54.42/54.17 (P9(a68,f11(a68,x46121,f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74)))),f11(a68,x46121,f27(a1,f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83))))))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,564,478,517,444,445,4175,522,451,452,4368,446,568,381,442,4391,4565,4567,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,4286,4521,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,592,4178,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,3426,3474,3384,2144,2659,4198,3480,3228,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,2184,4060,4195,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,1997,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3516,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437])).
% 54.42/54.17 cnf(4620,plain,
% 54.42/54.17 (P10(a68,f9(a68,x46201),f11(a68,f26(a69,f24(f7(a68,x46201))),f3(a68)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,564,478,517,444,445,4175,522,451,452,4368,446,568,381,442,4391,4565,4567,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,4286,4521,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,592,4178,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,4457,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,3426,3474,3384,2144,2659,4198,3480,3228,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,2184,4060,4195,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,1997,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3516,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203])).
% 54.42/54.17 cnf(4621,plain,
% 54.42/54.17 (P10(a68,x46211,f11(a68,f26(a69,f24(x46211)),f3(a68)))),
% 54.42/54.17 inference(rename_variables,[],[515])).
% 54.42/54.17 cnf(4625,plain,
% 54.42/54.17 (~P9(a68,f9(a68,f9(a68,f27(a1,f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83)))))),f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74))))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,564,478,517,444,445,4175,522,451,452,4368,446,568,381,442,4391,4565,4567,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,4286,4521,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,592,4178,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,4457,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,3426,3474,3384,2144,2659,4198,3480,3228,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,2184,4060,4195,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,1997,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3516,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198])).
% 54.42/54.17 cnf(4627,plain,
% 54.42/54.17 (P10(a70,f9(a70,f3(a70)),f9(a70,f2(a70)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,564,478,517,444,445,4175,522,451,452,4368,446,568,381,442,4391,4565,4567,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,4286,4521,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,592,4178,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,4457,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,3426,3474,3384,2144,2659,4198,3480,3228,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,2184,4060,4195,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,1997,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3516,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166])).
% 54.42/54.17 cnf(4633,plain,
% 54.42/54.17 (~P9(a69,f13(f11(a68,f26(a69,f2(a69)),f3(a68))),f8(a69,x46331,x46331))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,564,478,517,444,445,4175,522,451,452,4368,446,568,381,442,4391,4565,4567,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,449,3978,4283,4286,4521,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,592,4178,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,4457,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,3426,3474,3384,2144,2659,4198,3480,3228,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,1997,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3516,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611])).
% 54.42/54.17 cnf(4634,plain,
% 54.42/54.17 (P9(a69,x46341,x46341)),
% 54.42/54.17 inference(rename_variables,[],[448])).
% 54.42/54.17 cnf(4636,plain,
% 54.42/54.17 (~E(x46361,f11(a69,f9(a70,f11(a68,f9(a70,f8(a69,x46361,x46361)),f3(a68))),x46361))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,564,478,517,444,445,4175,522,451,452,4368,446,568,381,442,4391,4565,4567,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,449,3978,4283,4286,4521,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,592,4178,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,4457,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,3426,3474,3384,2144,2659,4198,3480,3228,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,1997,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3516,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215])).
% 54.42/54.17 cnf(4638,plain,
% 54.42/54.17 (P10(a70,f8(a70,x46381,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x46381,f9(a70,f2(a70)))),f3(a70))),f3(a70))),f2(a70))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,564,478,517,444,445,4175,522,451,452,4368,446,568,381,442,4391,4565,4567,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,449,3978,4283,4286,4521,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,592,4178,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,4457,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,3426,3474,3384,2144,2659,4198,3480,3228,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,1997,3813,3376,2298,2302,2306,2322,2342,2358,2382,2396,3723,3516,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173])).
% 54.42/54.17 cnf(4642,plain,
% 54.42/54.17 (~E(f15(f72(a1),f11(a69,f2(f72(a1)),f4(a1,f11(a68,f2(f72(a1)),f3(a68)))),x46421),f2(f72(f72(a1))))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,251,254,256,276,294,308,315,322,333,358,386,406,579,526,562,561,564,478,517,444,445,4175,522,451,452,4368,446,568,381,442,4391,4565,4567,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,449,3978,4283,4286,4521,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,592,4178,582,587,495,4342,599,600,479,480,602,471,515,4265,4276,4457,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,3426,3474,3384,2144,2659,4198,3480,3228,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,1997,3813,3376,2298,2302,2306,2322,2340,2342,2358,2382,2396,3723,3516,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942])).
% 54.42/54.17 cnf(4661,plain,
% 54.42/54.17 (E(f9(a68,f2(a68)),f7(a68,f2(a68)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,251,254,256,276,294,308,315,322,333,350,358,386,406,579,526,562,561,564,478,517,444,445,4175,522,451,452,4368,446,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,449,3978,4283,4286,4521,589,210,212,229,233,237,245,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,592,4178,582,587,495,4342,599,600,479,440,480,602,471,515,4265,4276,4457,379,380,394,461,465,241,246,248,253,287,330,601,4348,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,2733,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,3426,3474,3384,2144,2659,4198,3480,3228,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,1997,3813,3376,2298,2302,2306,2322,2340,2342,2358,2382,2396,3723,3516,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985])).
% 54.42/54.17 cnf(4670,plain,
% 54.42/54.17 (E(f53(f53(f10(a70),x46701),f3(a70)),x46701)),
% 54.42/54.17 inference(rename_variables,[],[445])).
% 54.42/54.17 cnf(4682,plain,
% 54.42/54.17 (~P9(a69,f11(a69,f53(f53(f10(a69),f8(a69,x46821,x46821)),x46822),f11(a69,f4(a1,a73),f11(a69,f53(f53(f10(a69),x46821),x46822),x46823))),x46823)),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,251,254,256,276,294,308,315,322,333,350,358,386,406,579,526,562,561,564,478,517,444,445,4175,522,451,452,4368,446,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,449,3978,4283,4286,4521,589,210,212,229,233,237,245,249,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,592,4178,582,587,495,4342,599,600,479,440,480,602,471,515,4265,4276,4457,379,380,394,461,465,241,246,248,253,287,330,601,4348,4582,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,2733,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,2051,3426,3474,3384,2144,2659,4198,3480,3228,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,4479,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,4451,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,1997,3813,3376,2298,2302,2306,2322,2340,2342,2358,2382,2396,3723,3516,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791])).
% 54.42/54.17 cnf(4689,plain,
% 54.42/54.17 (~P10(a69,f11(a69,x46891,x46892),x46892)),
% 54.42/54.17 inference(rename_variables,[],[599])).
% 54.42/54.17 cnf(4692,plain,
% 54.42/54.17 (~E(f11(a69,x46921,f2(a1)),f11(a69,x46921,a83))),
% 54.42/54.17 inference(rename_variables,[],[2659])).
% 54.42/54.17 cnf(4694,plain,
% 54.42/54.17 (~E(f11(a69,f53(f53(f10(a69),x46941),x46942),f2(a1)),f11(a69,f53(f53(f10(a69),x46941),x46942),f11(a69,f53(f53(f10(a69),f8(a69,x46941,x46941)),x46942),a83)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,251,254,256,276,294,308,315,322,333,350,358,386,406,579,526,562,561,564,478,517,444,445,4175,522,451,452,4368,446,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,449,3978,4283,4286,4521,589,210,212,229,233,237,245,249,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,592,4178,582,587,495,4342,4394,599,4379,600,479,440,480,602,471,515,4265,4276,4457,379,380,394,461,465,241,246,248,253,287,330,601,4348,4582,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,2733,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,2051,3426,3474,3384,2144,2659,4198,4201,4692,3480,3228,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,4479,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,4451,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,1997,3813,3382,3376,2298,2302,2306,2322,2340,2342,2358,2382,2396,3723,3516,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754])).
% 54.42/54.17 cnf(4697,plain,
% 54.42/54.17 (~P10(a68,f11(a68,f53(f53(f10(a68),f8(a68,x46971,x46972)),x46973),f11(a68,f7(a68,f11(a68,f53(f53(f10(a68),f8(a68,x46972,x46971)),x46973),x46974)),f3(a68))),x46974)),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,251,254,256,276,294,308,315,322,333,350,358,386,406,579,526,562,561,564,478,517,444,445,4175,522,451,452,4368,446,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,449,3978,4283,4286,4521,589,210,212,229,233,237,245,249,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,592,4178,582,587,495,4342,4394,599,4379,600,479,440,480,602,471,515,4265,4276,4457,379,380,394,461,465,241,246,248,253,287,330,601,4348,4582,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,2733,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,2051,3426,3474,3384,2144,2659,4198,4201,4692,3480,3228,1811,3913,3968,4443,1912,4280,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,4479,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,4451,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,1997,3813,3382,3376,2119,2298,2302,2306,2322,2340,2342,2358,2382,2396,3723,3516,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796])).
% 54.42/54.17 cnf(4699,plain,
% 54.42/54.17 (~P10(a70,x46991,f11(a70,f53(f53(f10(a70),f8(a70,x46992,x46992)),x46993),x46991))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,251,254,256,276,294,308,315,322,333,350,358,386,406,579,526,562,561,564,478,517,444,445,4175,522,451,452,4368,446,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,449,3978,4283,4286,4521,589,210,212,229,233,237,245,249,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,592,4178,582,587,495,4342,4394,599,4379,600,479,440,480,602,471,515,4265,4276,4457,379,380,394,461,465,241,246,248,253,287,330,601,4348,4582,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,2733,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,2051,3426,3474,3384,2144,2659,4198,4201,4692,3480,3228,1811,3913,3968,4443,1912,4280,4534,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,4479,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,4451,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,1997,3813,3382,3376,2119,2298,2302,2306,2322,2340,2342,2358,2382,2396,3723,3516,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794])).
% 54.42/54.17 cnf(4701,plain,
% 54.42/54.17 (E(f11(a70,f53(f53(f10(a70),x47011),x47012),f9(a70,x47013)),f11(a70,f53(f53(f10(a70),x47014),x47012),f8(a70,f53(f53(f10(a70),f8(a70,x47011,x47014)),x47012),x47013)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,251,254,256,276,294,308,315,322,333,350,358,386,406,579,526,562,561,564,490,478,517,444,445,4175,522,451,452,4368,446,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,449,3978,4283,4286,4521,589,210,212,229,233,237,245,249,271,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,592,4178,582,587,495,4342,4394,599,4379,600,479,440,480,602,471,515,4265,4276,4457,379,380,394,461,465,241,246,248,253,287,330,601,4348,4582,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,2733,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,2051,3426,3474,3384,2144,2659,4198,4201,4692,3480,3228,1811,3913,3968,4443,1912,4280,4534,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,4479,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,4451,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,1997,3813,3382,3376,2119,2298,2302,2306,2322,2340,2342,2358,2382,2396,3723,3516,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761])).
% 54.42/54.17 cnf(4703,plain,
% 54.42/54.17 (E(f11(a70,f53(f53(f10(a70),x47031),x47032),x47033),f11(a70,f53(f53(f10(a70),x47034),x47032),f53(f53(f10(a70),f11(a70,f53(f53(f10(a70),f8(a70,x47031,x47034)),x47032),x47033)),f3(a70))))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,251,254,256,276,294,308,315,322,333,350,358,386,406,579,526,562,561,564,490,478,517,444,445,4175,4670,522,451,452,4368,446,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,449,3978,4283,4286,4521,589,210,212,229,233,237,245,249,271,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,592,4178,582,587,495,4342,4394,599,4379,600,479,440,480,602,471,515,4265,4276,4457,379,380,394,461,465,241,246,248,253,287,330,601,4348,4582,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,2733,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,2051,3426,3474,3384,2144,2659,4198,4201,4692,3480,3228,1811,3913,3968,4443,1912,4280,4534,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,4479,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,4451,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,2176,2642,3410,3404,1997,3813,3382,3376,2119,2298,2302,2306,2322,2340,2342,2358,2382,2396,3723,3516,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760])).
% 54.42/54.17 cnf(4706,plain,
% 54.42/54.17 (E(f11(a70,x47061,f11(a70,x47062,x47063)),f11(a70,x47062,f11(a70,x47061,x47063)))),
% 54.42/54.17 inference(rename_variables,[],[519])).
% 54.42/54.17 cnf(4721,plain,
% 54.42/54.17 (~E(f8(a69,f53(f53(f10(a69),f4(a1,f11(a68,f2(f72(a1)),f3(a68)))),f4(a1,f11(a68,f2(f72(a1)),f3(a68)))),f2(a69)),f8(a69,f2(a69),f2(a69)))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,251,254,256,276,294,308,315,322,333,337,340,350,358,386,406,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,449,3978,4283,4286,4521,589,210,212,229,233,237,245,249,271,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,592,4178,582,587,495,4342,4394,599,4379,600,479,440,480,602,471,515,4265,4276,4457,379,380,394,461,465,241,246,248,253,287,330,601,4348,4582,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,2733,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,2051,3426,3474,3384,3230,2144,2659,4198,4201,4692,3480,3228,1811,3913,3968,4443,1912,4280,4534,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,4479,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,4451,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,3813,3382,3376,2119,2298,2302,2306,2322,2340,2342,2358,2382,2396,3723,3516,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406])).
% 54.42/54.17 cnf(4722,plain,
% 54.42/54.17 (P9(a69,f2(a69),x47221)),
% 54.42/54.17 inference(rename_variables,[],[463])).
% 54.42/54.17 cnf(4723,plain,
% 54.42/54.17 (P9(a69,x47231,x47231)),
% 54.42/54.17 inference(rename_variables,[],[448])).
% 54.42/54.17 cnf(4726,plain,
% 54.42/54.17 (P9(a68,x47261,x47261)),
% 54.42/54.17 inference(rename_variables,[],[447])).
% 54.42/54.17 cnf(4729,plain,
% 54.42/54.17 (P9(a69,x47291,x47291)),
% 54.42/54.17 inference(rename_variables,[],[448])).
% 54.42/54.17 cnf(4733,plain,
% 54.42/54.17 (~P10(a68,f53(f53(f10(a68),f2(a68)),x47331),f53(f53(f10(a68),f26(a69,f24(f2(a68)))),x47331))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,251,254,256,276,294,308,315,322,333,337,340,350,358,386,406,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,449,3978,4283,4286,4521,589,210,212,229,233,237,245,249,271,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,582,587,495,4342,4394,599,4379,600,479,440,480,602,471,515,4265,4276,4457,379,380,394,461,465,241,246,248,253,287,330,601,4348,4582,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,4234,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,2733,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,2051,3426,3474,3384,3230,2144,2659,4198,4201,4692,3480,3228,1811,3913,3968,4443,1912,4280,4534,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,4479,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,4451,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,3813,3382,3376,2119,2298,2302,2306,2322,2340,2342,2358,2382,2396,3723,3516,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643])).
% 54.42/54.17 cnf(4734,plain,
% 54.42/54.17 (~P10(a68,f26(a69,x47341),f2(a68))),
% 54.42/54.17 inference(rename_variables,[],[598])).
% 54.42/54.17 cnf(4748,plain,
% 54.42/54.17 (~P9(a70,f2(a70),f53(f53(f10(a70),f3(a70)),f53(f53(f10(a70),f3(a70)),f9(a70,f3(a70)))))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,251,254,256,276,294,299,308,315,322,333,337,340,350,358,386,406,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,449,3978,4283,4286,4521,589,210,212,229,233,237,245,249,271,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,582,587,495,4342,4394,599,4379,600,479,440,480,602,471,515,4265,4276,4457,379,380,394,461,465,241,246,248,253,287,330,601,4348,4582,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,4234,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,2733,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,2051,3426,3474,3384,3230,2144,2659,4198,4201,4692,3480,3228,1811,3913,3968,4443,1912,4280,4534,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,4479,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,4451,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,3813,3382,3376,2119,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,3723,3516,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480])).
% 54.42/54.17 cnf(4750,plain,
% 54.42/54.17 (~P9(a70,f53(f53(f10(a70),f53(f53(f10(a70),f3(a70)),f3(a70))),f53(f53(f10(a70),f3(a70)),f3(a70))),f2(a70))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,251,254,256,276,294,299,308,315,322,333,337,340,350,358,386,406,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,449,3978,4283,4286,4521,589,210,212,229,233,237,245,249,271,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,582,587,495,4342,4394,599,4379,600,479,440,480,602,471,515,4265,4276,4457,379,380,394,461,465,241,246,248,253,287,330,601,4348,4582,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,4234,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,2733,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,2051,3426,3474,3384,3230,2144,2659,4198,4201,4692,3480,3228,1811,3913,3968,4443,1912,4280,4534,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,4479,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,4451,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,3813,3382,3376,2119,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,3723,3516,3727,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478])).
% 54.42/54.17 cnf(4752,plain,
% 54.42/54.17 (P9(a68,f53(f53(f10(a68),f2(a68)),f2(a68)),f2(a68))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,251,254,256,276,293,294,299,308,315,322,333,337,340,350,358,386,406,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,449,3978,4283,4286,4521,589,210,212,229,233,237,245,249,271,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,582,587,495,4342,4394,599,4379,600,479,440,480,602,471,515,4265,4276,4457,379,380,394,461,465,241,246,248,253,287,330,601,4348,4582,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,4234,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,2733,3743,2224,2238,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,2051,3426,3474,3384,3230,2144,2659,4198,4201,4692,3480,3228,1811,3913,3968,4443,1912,4280,4534,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,4479,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,4451,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,3813,3382,3376,2119,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,3723,3516,3727,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457])).
% 54.42/54.17 cnf(4753,plain,
% 54.42/54.17 (P9(a68,x47531,x47531)),
% 54.42/54.17 inference(rename_variables,[],[447])).
% 54.42/54.17 cnf(4756,plain,
% 54.42/54.17 (P9(a68,x47561,x47561)),
% 54.42/54.17 inference(rename_variables,[],[447])).
% 54.42/54.17 cnf(4762,plain,
% 54.42/54.17 (P9(a70,f2(a70),f53(f53(f10(a70),f11(a70,f2(a70),f2(a70))),f11(a70,f2(a70),f2(a70))))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,251,254,256,276,293,294,299,308,315,322,333,337,340,350,358,386,406,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,449,3978,4283,4286,4521,589,210,212,229,233,237,245,249,271,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,582,587,495,4342,4394,599,4379,600,479,440,480,602,471,515,4265,4276,4457,379,380,394,461,465,241,246,248,253,287,330,601,4348,4582,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,4234,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,2051,3426,3474,3384,3230,2144,2659,4198,4201,4692,3480,3228,1811,3913,3968,4443,1912,4280,4534,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,4479,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,4451,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,3813,3382,3376,2119,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,3723,3516,3727,3522,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445])).
% 54.42/54.17 cnf(4766,plain,
% 54.42/54.17 (~E(f53(f53(f10(a70),f53(f53(f10(a70),f3(a70)),f3(a70))),f53(f53(f10(a70),f3(a70)),f3(a70))),f2(a70))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,386,406,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,449,3978,4283,4286,4521,589,210,212,229,233,237,245,249,271,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,582,587,495,4342,4394,599,4379,600,479,440,480,602,471,515,4265,4276,4457,379,380,394,461,465,241,246,248,253,287,330,601,4348,4582,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,4234,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,2051,3426,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,3228,1811,3913,3968,4443,1912,4280,4534,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,4479,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,4451,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,3813,3382,3376,2119,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,3723,3516,3727,3522,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922])).
% 54.42/54.17 cnf(4768,plain,
% 54.42/54.17 (~P10(a68,f53(f53(f10(a68),x47681),f26(a69,f2(a69))),f53(f53(f10(a68),x47682),f26(a69,f2(a69))))),
% 54.42/54.17 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,386,406,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,449,3978,4283,4286,4521,589,210,212,229,233,237,245,249,271,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,582,587,495,4342,4394,599,4379,600,479,440,480,602,471,515,4265,4276,4457,379,380,394,461,465,241,246,248,253,287,330,601,4348,4582,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,2051,3426,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,3228,1811,3913,3968,4443,1912,4280,4534,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,4479,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,4451,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,3813,3382,3376,2119,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660])).
% 54.42/54.17 cnf(4773,plain,
% 54.42/54.17 (P10(a68,x47731,f11(a68,f26(a69,f24(x47731)),f3(a68)))),
% 54.42/54.17 inference(rename_variables,[],[515])).
% 54.42/54.17 cnf(4775,plain,
% 54.42/54.17 (P10(a68,f27(a68,f53(f53(f10(a68),x47751),x47751)),f53(f53(f10(a68),f11(a68,f26(a69,f24(f27(a68,x47751))),f3(a68))),f11(a68,f26(a69,f24(f27(a68,x47751))),f3(a68))))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,386,406,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,449,3978,4283,4286,4521,589,208,210,212,229,233,237,245,249,271,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,582,587,495,4342,4394,599,4379,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,379,380,394,461,465,241,246,248,253,287,330,601,4348,4582,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,1973,2076,2051,3426,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,3228,1811,3913,3968,4443,1912,4280,4534,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,4479,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,4451,2400,4121,2402,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,3813,3382,3376,2119,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697])).
% 54.42/54.18 cnf(4777,plain,
% 54.42/54.18 (P10(a68,x47771,f11(a68,f26(a69,f24(x47771)),f3(a68)))),
% 54.42/54.18 inference(rename_variables,[],[515])).
% 54.42/54.18 cnf(4784,plain,
% 54.42/54.18 (P10(a70,x47841,f11(a70,x47842,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x47842,x47841)),f3(a70))),f3(a70))))),
% 54.42/54.18 inference(rename_variables,[],[2402])).
% 54.42/54.18 cnf(4786,plain,
% 54.42/54.18 (P9(a68,f11(a68,f53(f53(f10(a68),f13(f26(a69,f2(a68)))),f13(f26(a69,f2(a68)))),f53(f53(f10(a68),f13(f26(a69,f2(a68)))),f13(f26(a69,f2(a68))))),f2(a68))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,386,406,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,449,3978,4283,4286,4521,589,208,210,212,229,233,237,245,249,271,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,582,587,495,4342,4394,599,4379,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,379,380,394,461,465,241,246,248,253,287,330,454,601,4348,4582,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,3228,1811,3913,3968,4443,1912,4280,4534,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,4479,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,4451,2400,4121,4542,2402,4212,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,3813,3382,3376,2119,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692])).
% 54.42/54.18 cnf(4787,plain,
% 54.42/54.18 (E(f13(f26(a69,x47871)),x47871)),
% 54.42/54.18 inference(rename_variables,[],[440])).
% 54.42/54.18 cnf(4789,plain,
% 54.42/54.18 (E(f11(f72(a68),f53(f53(f10(f72(a68)),f12(f72(a68),f13(f26(a69,f2(f72(a68)))))),f12(f72(a68),f13(f26(a69,f2(f72(a68)))))),f53(f53(f10(f72(a68)),f12(f72(a68),f13(f26(a69,f2(f72(a68)))))),f12(f72(a68),f13(f26(a69,f2(f72(a68))))))),f2(f72(a68)))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,386,406,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,449,3978,4283,4286,4521,589,208,210,212,229,233,237,245,249,271,296,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,582,587,495,4342,4394,599,4379,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,379,380,394,461,465,241,246,248,253,287,330,454,601,4348,4582,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,3228,1811,3913,3968,4443,1912,4280,4534,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,4479,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,4451,2400,4121,4542,2402,4212,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,3813,3382,3376,2119,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334])).
% 54.42/54.18 cnf(4793,plain,
% 54.42/54.18 (P10(a68,x47931,f11(a68,f26(a69,f24(x47931)),f3(a68)))),
% 54.42/54.18 inference(rename_variables,[],[515])).
% 54.42/54.18 cnf(4803,plain,
% 54.42/54.18 (P10(a68,f53(f53(f20(a68),a54),f4(a1,a73)),f53(f53(f20(a68),a54),f11(a69,a78,f3(a69))))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,386,406,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,449,3978,4283,4286,4521,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,582,587,495,4342,4394,599,4379,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,4777,379,380,394,461,465,241,246,248,253,287,330,454,601,4348,4582,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,3228,1811,3913,3968,4443,1912,4280,4534,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,4479,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,4451,2400,4121,4542,2402,4212,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,3813,3382,3376,2119,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664])).
% 54.42/54.18 cnf(4810,plain,
% 54.42/54.18 (P9(a68,x48101,x48101)),
% 54.42/54.18 inference(rename_variables,[],[447])).
% 54.42/54.18 cnf(4814,plain,
% 54.42/54.18 (P9(a69,x48141,x48141)),
% 54.42/54.18 inference(rename_variables,[],[448])).
% 54.42/54.18 cnf(4816,plain,
% 54.42/54.18 (~P10(a70,f3(a70),f9(a70,f3(a70)))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,582,587,495,4342,4394,599,4379,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,4777,379,380,394,461,465,241,246,248,253,287,297,330,454,601,4348,4582,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,3228,1811,3913,3968,4443,1912,4280,4534,2230,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,4479,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,4451,2400,4121,4542,2402,4212,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,3813,3382,3376,2119,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997])).
% 54.42/54.18 cnf(4829,plain,
% 54.42/54.18 (~P9(a68,f25(a68,a81),f3(a68))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,582,587,495,4342,4394,599,4379,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,4777,379,380,394,461,465,241,246,248,253,287,297,330,454,601,4348,4582,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,3228,1811,3913,3968,4443,1912,4280,4534,2230,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,4479,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,4451,2400,4121,4542,2402,4212,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072])).
% 54.42/54.18 cnf(4835,plain,
% 54.42/54.18 (~P9(a68,f53(f53(f10(a68),f27(a1,f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83))))),a33),f53(f53(f10(a68),f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74)))),a33))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,582,587,495,4342,4394,599,4379,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,4777,379,380,394,461,465,241,246,248,253,287,297,330,454,601,4348,4582,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,3228,1811,3913,3968,4443,1912,4280,4534,2230,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,4479,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,4451,2400,4121,4542,2402,4212,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625])).
% 54.42/54.18 cnf(4837,plain,
% 54.42/54.18 (~P9(a68,f53(f53(f10(a68),a33),f53(f53(f10(a68),a81),f27(a1,f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83)))))),f53(f53(f10(a68),a33),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74))))))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,582,587,495,4342,4394,599,4379,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,4777,379,380,394,461,465,241,246,248,253,287,297,330,454,601,4348,4582,393,295,306,391,399,417,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,3228,1811,3913,3968,4443,1912,4280,4534,2230,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,4479,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,4451,2400,4121,4542,2402,4212,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624])).
% 54.42/54.18 cnf(4852,plain,
% 54.42/54.18 (P10(a69,x48521,f13(f11(a68,f26(a69,x48521),f3(a68))))),
% 54.42/54.18 inference(rename_variables,[],[1861])).
% 54.42/54.18 cnf(4856,plain,
% 54.42/54.18 (~P10(a68,f2(a68),f9(a68,f11(a68,f7(a68,f9(a68,f9(a68,a33))),f3(a68))))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,582,587,495,4342,4394,599,4379,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,4777,544,379,380,394,461,465,241,246,248,253,287,297,330,454,601,4348,4582,393,295,306,329,391,399,417,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,3228,1811,3913,3968,4443,1912,4280,4534,2230,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,4479,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,4451,2400,4121,4542,2402,4212,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467])).
% 54.42/54.18 cnf(4862,plain,
% 54.42/54.18 (P9(a70,x48621,x48621)),
% 54.42/54.18 inference(rename_variables,[],[449])).
% 54.42/54.18 cnf(4865,plain,
% 54.42/54.18 (P9(a68,x48651,x48651)),
% 54.42/54.18 inference(rename_variables,[],[447])).
% 54.42/54.18 cnf(4867,plain,
% 54.42/54.18 (~E(f11(a68,f26(a69,f4(a1,f11(a68,f2(f72(a1)),f3(a68)))),f26(a69,f4(a1,f11(a68,f2(f72(a1)),f3(a68))))),f2(a68))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,582,587,495,4342,4394,599,4379,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,4777,544,379,380,394,461,465,241,246,248,253,287,297,330,454,601,4348,4582,393,295,306,329,391,399,417,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,2230,3775,2423,3791,3705,2859,3388,3614,1861,3943,3947,4179,4448,4479,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,4451,2400,4121,4542,2402,4212,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345])).
% 54.42/54.18 cnf(4876,plain,
% 54.42/54.18 (~P10(a70,x48761,f11(a70,x48761,f2(a70)))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,582,587,495,4342,4394,599,4379,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,4777,544,379,380,394,461,465,241,246,248,253,287,297,330,454,601,4348,4582,393,295,306,329,391,399,417,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,2184,4060,4195,4451,2400,4121,4542,2402,4212,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276])).
% 54.42/54.18 cnf(4880,plain,
% 54.42/54.18 (~P10(a69,f8(a69,f11(a69,x48801,x48802),x48802),x48801)),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,582,587,495,4342,4394,599,4379,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,4777,544,379,380,394,461,465,241,246,248,253,287,297,330,454,601,4348,4582,393,295,306,329,391,399,417,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422])).
% 54.42/54.18 cnf(4883,plain,
% 54.42/54.18 (~P10(a69,x48831,f11(a69,f2(a69),x48831))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,582,587,495,4342,4394,599,4379,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,4777,544,379,380,394,461,465,241,246,248,253,287,297,330,454,601,4348,4582,393,295,306,329,391,399,417,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269])).
% 54.42/54.18 cnf(4887,plain,
% 54.42/54.18 (E(f53(f53(f10(a68),x48871),x48872),f53(f53(f10(a68),x48872),x48871))),
% 54.42/54.18 inference(rename_variables,[],[481])).
% 54.42/54.18 cnf(4892,plain,
% 54.42/54.18 (~E(f11(a68,x48921,f2(a1)),f11(a68,x48921,a76))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,582,587,495,4342,4394,599,4379,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,4777,544,379,380,394,461,465,241,246,248,253,287,297,330,454,601,4348,4582,393,295,306,329,391,399,417,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102])).
% 54.42/54.18 cnf(4894,plain,
% 54.42/54.18 (~P9(a70,f9(a70,f2(a70)),f9(a70,f3(a70)))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,582,587,495,4342,4394,599,4379,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,4777,544,379,380,394,461,465,241,246,248,253,287,297,330,454,601,4348,4582,393,295,306,329,391,399,417,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,1837,3332,2101,2104,3828,1955,2164,4411,4454,4470,4506,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223])).
% 54.42/54.18 cnf(4900,plain,
% 54.42/54.18 (E(x49001,f11(a69,f53(f53(f10(a69),f8(a69,x49002,x49002)),x49003),x49001))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,582,587,495,4342,4394,599,4379,4689,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,4777,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965])).
% 54.42/54.18 cnf(4901,plain,
% 54.42/54.18 (~P10(a69,f11(a69,x49011,x49012),x49012)),
% 54.42/54.18 inference(rename_variables,[],[599])).
% 54.42/54.18 cnf(4905,plain,
% 54.42/54.18 (~P9(a70,f3(a70),f53(f53(f20(a70),f7(a70,f9(a70,f2(a70)))),f4(a1,f11(a68,f2(f72(a1)),f3(a68)))))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,582,587,495,4342,4394,599,4379,4689,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,4777,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022])).
% 54.42/54.18 cnf(4907,plain,
% 54.42/54.18 (P9(a70,f3(a70),f11(a70,x49071,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x49071,f2(a70))),f3(a70))),f3(a70))))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,582,587,495,4342,4394,599,4379,4689,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,4777,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021])).
% 54.42/54.18 cnf(4910,plain,
% 54.42/54.18 (~P10(a70,f11(a70,f53(f53(f10(a70),x49101),x49102),f3(a70)),f53(f53(f10(a70),x49101),x49102))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,582,587,495,4342,4394,599,4379,4689,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,4777,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274])).
% 54.42/54.18 cnf(4911,plain,
% 54.42/54.18 (~P10(a70,x49111,x49111)),
% 54.42/54.18 inference(rename_variables,[],[1912])).
% 54.42/54.18 cnf(4914,plain,
% 54.42/54.18 (~P10(a69,x49141,f2(a69))),
% 54.42/54.18 inference(rename_variables,[],[592])).
% 54.42/54.18 cnf(4920,plain,
% 54.42/54.18 (P10(a70,f2(a70),f12(a70,f3(a70)))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,582,587,495,4342,4394,599,4379,4689,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,4777,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143])).
% 54.42/54.18 cnf(4922,plain,
% 54.42/54.18 (~P10(a68,f11(a68,f7(a68,f9(a68,f2(a68))),f3(a68)),f2(a68))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,582,587,495,4342,4394,599,4379,4689,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,4777,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139])).
% 54.42/54.18 cnf(4927,plain,
% 54.42/54.18 (P9(a68,x49271,x49271)),
% 54.42/54.18 inference(rename_variables,[],[447])).
% 54.42/54.18 cnf(4932,plain,
% 54.42/54.18 (~P9(a69,f11(a69,f13(f11(a68,f26(a69,f2(a69)),f3(a68))),x49321),x49321)),
% 54.42/54.18 inference(rename_variables,[],[2164])).
% 54.42/54.18 cnf(4934,plain,
% 54.42/54.18 (~P10(a69,f2(a69),f24(f2(a68)))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,568,381,442,4391,4565,4567,4569,459,563,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,582,587,495,4342,4394,599,4379,4689,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,4777,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065])).
% 54.42/54.18 cnf(4939,plain,
% 54.42/54.18 (P10(a68,f2(a68),f53(f53(f10(a68),f11(a68,f3(a68),f7(a68,x49391))),f11(a68,f3(a68),f7(a68,x49391))))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,568,381,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,4777,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378])).
% 54.42/54.18 cnf(4946,plain,
% 54.42/54.18 (P10(a69,f11(a69,f2(a69),f2(a69)),f11(a69,f4(a1,f11(a68,f2(f72(a1)),f3(a68))),f4(a1,f11(a68,f2(f72(a1)),f3(a68)))))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,568,381,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,4777,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538])).
% 54.42/54.18 cnf(4948,plain,
% 54.42/54.18 (~P10(a70,f9(a70,f9(a70,x49481)),x49481)),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,568,381,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,4777,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202])).
% 54.42/54.18 cnf(4954,plain,
% 54.42/54.18 (~P9(a68,f11(a68,f53(f53(f10(a68),x49541),x49542),f11(a68,f53(f53(f10(a68),f8(a68,x49543,x49541)),x49542),f27(a1,f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83)))))),f11(a68,f53(f53(f10(a68),x49543),x49542),f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74)))))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,568,381,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,4777,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784])).
% 54.42/54.18 cnf(4959,plain,
% 54.42/54.18 (~P10(a69,f11(a69,x49591,x49592),x49592)),
% 54.42/54.18 inference(rename_variables,[],[599])).
% 54.42/54.18 cnf(4967,plain,
% 54.42/54.18 (~P9(a68,f26(a69,f4(a1,f11(a68,f2(f72(a1)),f3(a68)))),f26(a69,f2(a69)))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,568,381,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185])).
% 54.42/54.18 cnf(4969,plain,
% 54.42/54.18 (~P9(a68,f26(a69,f11(a69,f13(f11(a68,f26(a69,f2(a69)),f3(a68))),f24(x49691))),x49691)),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,568,381,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087])).
% 54.42/54.18 cnf(4972,plain,
% 54.42/54.18 (~E(f11(a69,f11(a69,a78,f3(a69)),f4(a1,a73)),f11(a69,f4(a1,a73),f4(a1,a73)))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,568,381,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357])).
% 54.42/54.18 cnf(4975,plain,
% 54.42/54.18 (P9(f72(a68),f2(f72(a68)),f9(f72(a68),f9(f72(a68),f7(f72(a68),f2(f72(a68))))))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,568,381,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,480,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138])).
% 54.42/54.18 cnf(4980,plain,
% 54.42/54.18 (~E(x49801,f11(a70,f3(a70),f9(a70,x49801)))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,568,381,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23])).
% 54.42/54.18 cnf(4983,plain,
% 54.42/54.18 (P14(f11(a69,f53(f53(f10(a69),f8(a69,x49831,x49831)),x49832),a69),f53(f10(a69),f2(a69)))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,568,381,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193])).
% 54.42/54.18 cnf(4985,plain,
% 54.42/54.18 (E(f13(f26(a69,x49851)),x49851)),
% 54.42/54.18 inference(rename_variables,[],[440])).
% 54.42/54.18 cnf(4986,plain,
% 54.42/54.18 (~P12(f13(f26(a69,f24(f26(a69,a68)))),f2(f72(a68)))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,568,381,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172])).
% 54.42/54.18 cnf(4987,plain,
% 54.42/54.18 (E(f13(f26(a69,x49871)),x49871)),
% 54.42/54.18 inference(rename_variables,[],[440])).
% 54.42/54.18 cnf(4988,plain,
% 54.42/54.18 (~P24(f13(f26(a69,a69)))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,568,381,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157])).
% 54.42/54.18 cnf(4989,plain,
% 54.42/54.18 (~P16(f13(f26(a69,a69)))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,568,381,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153])).
% 54.42/54.18 cnf(4990,plain,
% 54.42/54.18 (P13(a1,f53(f14(a1,f22(a1,f25(a1,f53(f14(a1,a80),f2(a1))),a80)),x49901),f11(a1,f53(f14(a1,f22(a1,f25(a1,f53(f14(a1,a80),f2(a1))),a80)),f2(a1)),f53(f53(f10(a1),f53(f53(f20(a1),x49901),a44)),f53(f14(a1,f17(a1,a46,a43)),x49901))))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,568,4093,381,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130])).
% 54.42/54.18 cnf(4991,plain,
% 54.42/54.18 (~P10(a68,f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),f27(a1,f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83)))))),f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74))))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115])).
% 54.42/54.18 cnf(4992,plain,
% 54.42/54.18 (~P9(a68,f27(a1,f53(f53(f10(a1),f53(f53(f10(a1),f53(f53(f20(a1),f53(f53(f10(a1),f28(a1,a81)),a83)),a78)),f53(f53(f10(a1),f28(a1,a81)),a83))),f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83)))),f53(f53(f10(a68),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74))),f53(f53(f20(a68),a81),a78)))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122])).
% 54.42/54.18 cnf(4994,plain,
% 54.42/54.18 (~P9(a68,f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),f27(a1,f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83)))))),f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74))))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121])).
% 54.42/54.18 cnf(4995,plain,
% 54.42/54.18 (~E(a1,x49951)+P8(x49951)),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,308,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203])).
% 54.42/54.18 cnf(4996,plain,
% 54.42/54.18 (P58(f11(a69,f53(f53(f10(a69),f8(a69,x49961,x49961)),x49962),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,303,308,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202])).
% 54.42/54.18 cnf(4997,plain,
% 54.42/54.18 (P66(f11(a69,f53(f53(f10(a69),f8(a69,x49971,x49971)),x49972),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,293,294,299,303,308,309,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201])).
% 54.42/54.18 cnf(4998,plain,
% 54.42/54.18 (P80(f11(a69,f53(f53(f10(a69),f8(a69,x49981,x49981)),x49982),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,285,293,294,299,303,308,309,315,322,333,337,340,350,358,361,386,406,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200])).
% 54.42/54.18 cnf(4999,plain,
% 54.42/54.18 (P27(f11(a69,f53(f53(f10(a69),f8(a69,x49991,x49991)),x49992),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,285,293,294,299,303,308,309,315,322,333,337,340,350,358,361,386,406,410,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199])).
% 54.42/54.18 cnf(5000,plain,
% 54.42/54.18 (P50(f11(a69,f53(f53(f10(a69),f8(a69,x50001,x50001)),x50002),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,281,285,293,294,299,303,308,309,315,322,333,337,340,350,358,361,386,406,410,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197])).
% 54.42/54.18 cnf(5001,plain,
% 54.42/54.18 (P37(f11(a69,f53(f53(f10(a69),f8(a69,f2(a69),f2(a69))),x50011),f72(a1)))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,281,285,293,294,299,303,308,309,315,322,333,337,340,350,358,361,386,406,410,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2340,2342,2358,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195])).
% 54.42/54.18 cnf(5002,plain,
% 54.42/54.18 (P79(f11(a69,f53(f53(f10(a69),f8(a69,f2(a69),f2(a69))),x50021),f72(a1)))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,281,285,293,294,299,303,308,309,315,322,333,337,340,350,358,361,386,406,410,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2340,2342,2358,2366,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192])).
% 54.42/54.18 cnf(5003,plain,
% 54.42/54.18 (P19(f11(a69,f53(f53(f10(a69),f8(a69,x50031,x50031)),x50032),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,281,285,293,294,299,303,308,309,315,322,333,337,340,350,354,358,361,386,406,410,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2340,2342,2358,2366,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191])).
% 54.42/54.18 cnf(5004,plain,
% 54.42/54.18 (P74(f11(a69,f53(f53(f10(a69),f8(a69,x50041,x50041)),x50042),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,350,354,358,361,386,406,410,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2340,2342,2358,2366,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190])).
% 54.42/54.18 cnf(5005,plain,
% 54.42/54.18 (P22(f11(a69,f53(f53(f10(a69),f8(a69,x50051,x50051)),x50052),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,350,354,358,361,362,386,406,410,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2340,2342,2358,2366,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189])).
% 54.42/54.18 cnf(5006,plain,
% 54.42/54.18 (P34(f11(a69,f53(f53(f10(a69),f8(a69,x50061,x50061)),x50062),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,350,354,358,361,362,386,406,410,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2340,2342,2358,2366,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188])).
% 54.42/54.18 cnf(5007,plain,
% 54.42/54.18 (P35(f11(a69,f53(f53(f10(a69),f8(a69,x50071,x50071)),x50072),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,350,354,358,361,362,386,406,410,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2340,2342,2358,2366,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185])).
% 54.42/54.18 cnf(5008,plain,
% 54.42/54.18 (P40(f11(a69,f53(f53(f10(a69),f8(a69,x50081,x50081)),x50082),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,350,354,358,361,362,386,406,410,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2340,2342,2358,2366,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183])).
% 54.42/54.18 cnf(5009,plain,
% 54.42/54.18 (P31(f11(a69,f53(f53(f10(a69),f8(a69,x50091,x50091)),x50092),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,350,354,358,361,362,370,386,406,410,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2340,2342,2358,2366,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182])).
% 54.42/54.18 cnf(5010,plain,
% 54.42/54.18 (P20(f11(a69,f53(f53(f10(a69),f8(a69,x50101,x50101)),x50102),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,350,354,358,361,362,366,370,386,406,410,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2340,2342,2358,2366,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181])).
% 54.42/54.18 cnf(5011,plain,
% 54.42/54.18 (P73(f11(a69,f53(f53(f10(a69),f8(a69,x50111,x50111)),x50112),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,350,354,358,361,362,366,370,386,406,410,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2340,2342,2358,2366,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178])).
% 54.42/54.18 cnf(5012,plain,
% 54.42/54.18 (P75(f11(a69,f53(f53(f10(a69),f8(a69,x50121,x50121)),x50122),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,350,354,358,361,362,366,370,386,406,410,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2340,2342,2358,2366,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177])).
% 54.42/54.18 cnf(5013,plain,
% 54.42/54.18 (P5(f11(a69,f53(f53(f10(a69),f8(a69,x50131,x50131)),x50132),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,350,354,358,361,362,366,370,386,406,410,419,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2340,2342,2358,2366,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176])).
% 54.42/54.18 cnf(5014,plain,
% 54.42/54.18 (P23(f11(a69,f53(f53(f10(a69),f8(a69,x50141,x50141)),x50142),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,350,354,358,361,362,366,370,386,406,410,419,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2340,2342,2358,2366,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175])).
% 54.42/54.18 cnf(5015,plain,
% 54.42/54.18 (P52(f11(a69,f53(f53(f10(a69),f8(a69,f2(a69),f2(a69))),x50151),f72(a1)))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,350,354,358,361,362,366,370,386,406,410,419,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2358,2366,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174])).
% 54.42/54.18 cnf(5016,plain,
% 54.42/54.18 (P78(f11(a69,f53(f53(f10(a69),f8(a69,x50161,x50161)),x50162),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,350,354,358,361,362,366,370,386,406,410,419,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2358,2366,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171])).
% 54.42/54.18 cnf(5017,plain,
% 54.42/54.18 (P70(f11(a69,f53(f53(f10(a69),f8(a69,f2(a69),f2(a69))),x50171),f72(a1)))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,350,354,358,361,362,366,370,386,406,410,419,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2358,2366,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168])).
% 54.42/54.18 cnf(5018,plain,
% 54.42/54.18 (P29(f11(a69,f53(f53(f10(a69),f8(a69,x50181,x50181)),x50182),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,350,354,358,361,362,366,370,386,406,410,419,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2358,2366,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167])).
% 54.42/54.18 cnf(5019,plain,
% 54.42/54.18 (P25(f11(a69,f53(f53(f10(a69),f8(a69,x50191,x50191)),x50192),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,350,354,358,361,362,366,370,374,386,406,410,419,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2358,2366,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166])).
% 54.42/54.18 cnf(5020,plain,
% 54.42/54.18 (P44(f11(a69,f53(f53(f10(a69),f8(a69,x50201,x50201)),x50202),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,350,354,358,361,362,366,370,374,386,400,406,410,419,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2358,2366,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163])).
% 54.42/54.18 cnf(5021,plain,
% 54.42/54.18 (P21(f11(a69,f53(f53(f10(a69),f8(a69,x50211,x50211)),x50212),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,350,354,358,361,362,366,370,374,386,400,406,410,419,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2358,2366,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161])).
% 54.42/54.18 cnf(5023,plain,
% 54.42/54.18 (P81(f11(a69,f53(f53(f10(a69),f8(a69,x50231,x50231)),x50232),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,350,354,358,361,362,366,370,374,386,400,406,410,419,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,250,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2358,2366,2368,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161,160,159])).
% 54.42/54.18 cnf(5024,plain,
% 54.42/54.18 (P69(f11(a69,f53(f53(f10(a69),f8(a69,x50241,x50241)),x50242),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,350,354,358,361,362,366,370,374,386,400,406,410,419,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,244,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,250,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2358,2366,2368,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161,160,159,158])).
% 54.42/54.18 cnf(5025,plain,
% 54.42/54.18 (P59(f11(a69,f53(f53(f10(a69),f8(a69,f2(a69),f2(a69))),x50251),f72(a1)))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,350,354,358,361,362,366,370,374,386,400,406,410,419,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,244,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,250,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2344,2358,2366,2368,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161,160,159,158,155])).
% 54.42/54.18 cnf(5026,plain,
% 54.42/54.18 (P68(f11(a69,f53(f53(f10(a69),f8(a69,x50261,x50261)),x50262),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,350,354,358,361,362,366,370,374,386,400,406,410,419,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,240,244,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,250,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2344,2358,2366,2368,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161,160,159,158,155,154])).
% 54.42/54.18 cnf(5027,plain,
% 54.42/54.18 (P67(f11(a69,f53(f53(f10(a69),f8(a69,x50271,x50271)),x50272),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,350,354,358,361,362,366,370,374,386,400,406,410,419,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,240,244,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,250,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2344,2358,2366,2368,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161,160,159,158,155,154,152])).
% 54.42/54.18 cnf(5028,plain,
% 54.42/54.18 (P17(f11(a69,f53(f53(f10(a69),f8(a69,x50281,x50281)),x50282),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,346,350,354,358,361,362,366,370,374,386,400,406,410,419,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,237,240,244,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,250,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2344,2358,2366,2368,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161,160,159,158,155,154,152,151])).
% 54.42/54.18 cnf(5029,plain,
% 54.42/54.18 (P63(f11(a69,f53(f53(f10(a69),f8(a69,x50291,x50291)),x50292),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,346,350,354,358,361,362,366,370,374,386,400,406,410,419,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,236,237,240,244,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,250,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2344,2358,2366,2368,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161,160,159,158,155,154,152,151,150])).
% 54.42/54.18 cnf(5030,plain,
% 54.42/54.18 (P33(f11(a69,f53(f53(f10(a69),f8(a69,x50301,x50301)),x50302),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,346,350,354,358,361,362,366,370,374,386,400,406,410,419,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,236,237,240,244,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,250,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2344,2358,2366,2368,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161,160,159,158,155,154,152,151,150,149])).
% 54.42/54.18 cnf(5031,plain,
% 54.42/54.18 (P36(f11(a69,f53(f53(f10(a69),f8(a69,x50311,x50311)),x50312),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,346,350,354,358,361,362,366,370,374,386,400,406,410,419,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,233,236,237,240,244,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,250,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2344,2358,2366,2368,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161,160,159,158,155,154,152,151,150,149,147])).
% 54.42/54.18 cnf(5032,plain,
% 54.42/54.18 (P28(f11(a69,f53(f53(f10(a69),f8(a69,x50321,x50321)),x50322),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,346,350,354,358,361,362,366,370,374,386,400,406,410,419,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,232,233,236,237,240,244,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,250,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2344,2358,2366,2368,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161,160,159,158,155,154,152,151,150,149,147,146])).
% 54.42/54.18 cnf(5033,plain,
% 54.42/54.18 (P60(f11(a69,f53(f53(f10(a69),f8(a69,x50331,x50331)),x50332),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,346,350,354,358,361,362,366,370,374,386,400,406,410,419,421,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,232,233,236,237,240,244,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,250,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2344,2358,2366,2368,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161,160,159,158,155,154,152,151,150,149,147,146,141])).
% 54.42/54.18 cnf(5034,plain,
% 54.42/54.18 (P45(f11(a69,f53(f53(f10(a69),f8(a69,x50341,x50341)),x50342),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,346,350,354,358,361,362,366,370,374,386,400,406,410,419,421,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,232,233,236,237,240,244,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,250,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2344,2358,2366,2368,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161,160,159,158,155,154,152,151,150,149,147,146,141,138])).
% 54.42/54.18 cnf(5035,plain,
% 54.42/54.18 (P54(f11(a69,f53(f53(f10(a69),f8(a69,x50351,x50351)),x50352),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,346,350,354,358,361,362,366,370,374,386,400,406,410,419,421,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,232,233,236,237,240,244,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,250,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2344,2358,2366,2368,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161,160,159,158,155,154,152,151,150,149,147,146,141,138,135])).
% 54.42/54.18 cnf(5036,plain,
% 54.42/54.18 (P41(f11(a69,f53(f53(f10(a69),f8(a69,x50361,x50361)),x50362),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,346,350,354,358,361,362,366,370,374,386,400,406,410,419,421,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,232,233,236,237,240,244,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,250,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2344,2358,2366,2368,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161,160,159,158,155,154,152,151,150,149,147,146,141,138,135,134])).
% 54.42/54.18 cnf(5037,plain,
% 54.42/54.18 (P49(f11(a69,f53(f53(f10(a69),f8(a69,x50371,x50371)),x50372),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,221,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,346,350,354,358,361,362,366,370,374,386,400,406,410,419,421,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,232,233,236,237,240,244,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,250,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2344,2358,2366,2368,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161,160,159,158,155,154,152,151,150,149,147,146,141,138,135,134,133])).
% 54.42/54.18 cnf(5038,plain,
% 54.42/54.18 (P51(f11(a69,f53(f53(f10(a69),f8(a69,f2(a69),f2(a69))),x50381),f72(a1)))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,221,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,346,350,354,358,361,362,366,370,374,386,400,406,410,419,421,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,232,233,236,237,240,244,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,250,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2344,2358,2366,2368,2370,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161,160,159,158,155,154,152,151,150,149,147,146,141,138,135,134,133,132])).
% 54.42/54.18 cnf(5039,plain,
% 54.42/54.18 (P71(f11(a69,f53(f53(f10(a69),f8(a69,f2(a69),f2(a69))),x50391),f72(a1)))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,221,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,346,350,354,358,361,362,366,370,374,386,400,406,410,419,421,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,232,233,236,237,240,244,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,250,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2344,2358,2366,2368,2370,2372,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161,160,159,158,155,154,152,151,150,149,147,146,141,138,135,134,133,132,128])).
% 54.42/54.18 cnf(5040,plain,
% 54.42/54.18 (P4(f11(a69,f53(f53(f10(a69),f8(a69,x50401,x50401)),x50402),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,221,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,346,350,354,358,361,362,366,370,374,386,400,406,410,419,421,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,232,233,236,237,240,244,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,250,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2344,2358,2366,2368,2370,2372,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161,160,159,158,155,154,152,151,150,149,147,146,141,138,135,134,133,132,128,127])).
% 54.42/54.18 cnf(5041,plain,
% 54.42/54.18 (P53(f11(a69,f53(f53(f10(a69),f8(a69,x50411,x50411)),x50412),a69))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,221,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,346,350,354,358,361,362,366,370,374,386,400,406,410,419,421,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,449,3978,4283,4286,4521,4862,589,208,210,212,229,232,233,236,237,240,244,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,250,253,287,297,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2344,2358,2366,2368,2370,2372,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161,160,159,158,155,154,152,151,150,149,147,146,141,138,135,134,133,132,128,127,118])).
% 54.42/54.18 cnf(5069,plain,
% 54.42/54.18 (~P9(a70,f3(a70),f53(f53(f10(a70),f2(a70)),f2(a70)))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,221,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,337,340,346,350,354,358,361,362,366,370,374,386,400,406,410,419,421,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,535,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,4814,449,3978,4283,4286,4521,4862,589,208,210,212,229,232,233,236,237,240,244,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,4959,600,479,440,4787,4985,4987,480,3985,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,250,253,287,297,314,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3971,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,4032,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,4043,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2344,2358,2366,2368,2370,2372,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161,160,159,158,155,154,152,151,150,149,147,146,141,138,135,134,133,132,128,127,118,829,1204,1737,1705,1385,1341,1340,1126,1386,1342,1211])).
% 54.42/54.18 cnf(5091,plain,
% 54.42/54.18 (~P10(a68,f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74),f2(a68))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,221,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,334,337,340,346,350,354,358,361,362,366,370,374,386,400,406,410,419,421,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,535,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,4814,449,3978,4283,4286,4521,4862,589,208,210,212,229,232,233,236,237,240,244,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,4959,600,479,440,4787,4985,4987,480,3985,498,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,250,253,287,297,314,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,313,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3971,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,4032,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,4043,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2344,2358,2366,2368,2370,2372,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2665,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161,160,159,158,155,154,152,151,150,149,147,146,141,138,135,134,133,132,128,127,118,829,1204,1737,1705,1385,1341,1340,1126,1386,1342,1211,707,699,1182,966,929,1488,1354,706,1267,1147])).
% 54.42/54.18 cnf(5095,plain,
% 54.42/54.18 (~P10(f72(a68),f2(f72(a68)),f53(f53(f10(f72(a68)),f12(f72(a68),f13(f26(a69,f2(f72(a68)))))),f12(f72(a68),f13(f26(a69,f2(f72(a68)))))))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,221,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,334,337,340,346,350,354,358,361,362,366,370,374,386,400,406,410,419,421,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,535,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,4814,449,3978,4283,4286,4521,4862,589,208,210,212,229,232,233,236,237,240,244,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,4959,600,479,440,4787,4985,4987,480,3985,498,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,250,253,287,297,314,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,313,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3971,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,4032,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,4043,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2344,2358,2366,2368,2370,2372,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2665,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161,160,159,158,155,154,152,151,150,149,147,146,141,138,135,134,133,132,128,127,118,829,1204,1737,1705,1385,1341,1340,1126,1386,1342,1211,707,699,1182,966,929,1488,1354,706,1267,1147,711,1311])).
% 54.42/54.18 cnf(5097,plain,
% 54.42/54.18 (~P9(a70,f53(f53(f10(a70),f3(a70)),f2(a70)),f53(f53(f10(a70),f3(a70)),f9(a70,f3(a70))))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,221,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,334,337,340,346,350,354,358,361,362,366,370,374,386,400,406,410,419,421,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,535,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,4814,449,3978,4283,4286,4521,4862,589,208,210,212,229,232,233,236,237,240,244,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,4959,600,479,440,4787,4985,4987,480,3985,498,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,250,253,287,297,314,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,313,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3971,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,4032,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,4043,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2344,2358,2366,2368,2370,2372,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2665,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161,160,159,158,155,154,152,151,150,149,147,146,141,138,135,134,133,132,128,127,118,829,1204,1737,1705,1385,1341,1340,1126,1386,1342,1211,707,699,1182,966,929,1488,1354,706,1267,1147,711,1311,1678])).
% 54.42/54.18 cnf(5099,plain,
% 54.42/54.18 (~P9(a70,f11(a70,f11(a70,f3(a70),f3(a70)),f3(a70)),f2(a70))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,221,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,334,337,340,346,350,354,358,361,362,366,370,374,386,400,406,410,419,421,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,535,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,4814,449,3978,4283,4286,4521,4862,589,208,210,212,229,232,233,236,237,240,244,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,4959,600,479,440,4787,4985,4987,480,3985,498,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,250,253,287,297,314,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,313,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3971,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,4032,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,4043,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2344,2358,2366,2368,2370,2372,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2665,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161,160,159,158,155,154,152,151,150,149,147,146,141,138,135,134,133,132,128,127,118,829,1204,1737,1705,1385,1341,1340,1126,1386,1342,1211,707,699,1182,966,929,1488,1354,706,1267,1147,711,1311,1678,1273])).
% 54.42/54.18 cnf(5101,plain,
% 54.42/54.18 (~P9(a69,f11(a69,x51011,f13(f11(a68,f26(a69,f2(a69)),f3(a68)))),x51011)),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,221,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,334,337,340,346,350,354,358,361,362,366,370,374,386,400,406,410,419,421,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,535,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,4814,449,3978,4283,4286,4521,4862,589,208,210,212,229,232,233,236,237,240,244,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,4959,600,479,440,4787,4985,4987,480,3985,498,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,250,253,287,297,314,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,223,377,376,214,247,313,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3971,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,4032,2170,2173,1938,2649,1984,3645,2180,3922,3925,4013,4361,2176,2642,4043,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2340,2342,2344,2358,2366,2368,2370,2372,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2665,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161,160,159,158,155,154,152,151,150,149,147,146,141,138,135,134,133,132,128,127,118,829,1204,1737,1705,1385,1341,1340,1126,1386,1342,1211,707,699,1182,966,929,1488,1354,706,1267,1147,711,1311,1678,1273,1560])).
% 54.42/54.18 cnf(5108,plain,
% 54.42/54.18 (P13(a1,x51081,f9(a1,f9(a1,x51081)))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,221,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,334,337,340,346,350,354,358,361,362,366,370,374,386,400,406,410,419,421,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,535,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,4814,449,3978,4283,4286,4521,4862,589,208,210,212,229,232,233,236,237,240,244,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,4959,600,479,440,4787,4985,4987,480,3985,498,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,250,253,287,297,314,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,316,223,377,376,214,247,313,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3971,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,4032,2170,2173,1938,2649,3252,1984,3645,2180,3922,3925,4013,4361,2176,2642,4043,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2336,2340,2342,2344,2358,2366,2368,2370,2372,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2665,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161,160,159,158,155,154,152,151,150,149,147,146,141,138,135,134,133,132,128,127,118,829,1204,1737,1705,1385,1341,1340,1126,1386,1342,1211,707,699,1182,966,929,1488,1354,706,1267,1147,711,1311,1678,1273,1560,910,1423,204,1133])).
% 54.42/54.18 cnf(5110,plain,
% 54.42/54.18 (P13(a1,f9(a1,f9(a1,x51101)),x51101)),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,221,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,334,337,340,346,350,354,358,361,362,366,370,374,386,400,406,410,419,421,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,481,4887,535,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,4814,449,3978,4283,4286,4521,4862,589,208,210,212,229,232,233,236,237,240,244,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,4959,600,479,440,4787,4985,4987,480,3985,498,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,379,380,382,394,461,465,241,246,248,250,253,287,297,314,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,316,223,377,376,214,247,313,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3971,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,4032,2170,2173,1938,2649,3252,3254,1984,3645,2180,3922,3925,4013,4361,2176,2642,4043,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2336,2340,2342,2344,2358,2366,2368,2370,2372,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2665,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161,160,159,158,155,154,152,151,150,149,147,146,141,138,135,134,133,132,128,127,118,829,1204,1737,1705,1385,1341,1340,1126,1386,1342,1211,707,699,1182,966,929,1488,1354,706,1267,1147,711,1311,1678,1273,1560,910,1423,204,1133,1128])).
% 54.42/54.18 cnf(5116,plain,
% 54.42/54.18 (~P10(a68,f2(a68),f25(a68,f9(a68,f11(a68,f26(a69,f24(f9(a68,f2(a68)))),f3(a68)))))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,221,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,334,337,340,346,350,354,358,361,362,366,370,374,386,400,406,410,419,421,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,530,481,4887,535,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,4814,449,3978,4283,4286,4521,4862,589,208,210,212,229,232,233,236,237,240,244,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,4959,600,479,440,4787,4985,4987,480,3985,498,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,494,379,380,382,394,461,465,241,246,248,250,253,287,297,314,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,316,223,377,376,214,247,313,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,1927,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3971,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,4032,2170,2173,1938,2649,3252,3254,1984,3645,2180,3922,3925,4013,4361,2176,2642,4043,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2336,2340,2342,2344,2358,2366,2368,2370,2372,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2665,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161,160,159,158,155,154,152,151,150,149,147,146,141,138,135,134,133,132,128,127,118,829,1204,1737,1705,1385,1341,1340,1126,1386,1342,1211,707,699,1182,966,929,1488,1354,706,1267,1147,711,1311,1678,1273,1560,910,1423,204,1133,1128,1326,1504])).
% 54.42/54.18 cnf(5128,plain,
% 54.42/54.18 (~P12(a68,f8(f72(a68),f11(f72(a68),f53(f53(f10(f72(a68)),f12(f72(a68),f13(f26(a69,f2(f72(a68)))))),f12(f72(a68),f13(f26(a69,f2(f72(a68)))))),f53(f53(f10(f72(a68)),f12(f72(a68),f13(f26(a69,f2(f72(a68)))))),f12(f72(a68),f13(f26(a69,f2(f72(a68))))))),f2(f72(a68))))),
% 54.42/54.18 inference(scs_inference,[],[606,1809,1807,1806,217,221,227,231,235,239,243,251,254,256,257,261,276,278,281,285,293,294,299,300,303,308,309,315,322,333,334,337,340,346,350,354,358,361,362,366,370,374,386,400,406,410,419,421,425,579,526,562,561,564,490,478,517,444,445,4175,4670,519,4706,522,451,452,4368,446,530,481,4887,535,568,4093,381,570,442,4391,4565,4567,4569,459,563,510,447,3929,3950,4046,4082,4297,4382,4385,4424,4427,4726,4753,4756,4810,4865,4927,448,3975,3982,3989,4134,4260,4302,4306,4398,4432,4634,4723,4729,4814,449,3978,4283,4286,4521,4862,589,208,210,212,229,232,233,236,237,240,244,245,249,271,296,311,321,336,385,405,463,3946,3974,3981,3988,4303,4307,4399,4418,4571,4722,592,4178,4914,582,587,495,4342,4394,599,4379,4689,4901,4959,600,479,440,4787,4985,4987,480,3985,498,602,471,515,4265,4276,4457,4621,4773,4777,4793,544,494,379,380,382,394,461,465,241,246,248,250,253,287,297,314,330,397,454,601,4348,4582,393,295,306,329,391,399,417,578,407,516,4345,224,272,324,349,384,389,457,305,307,390,396,404,265,378,403,388,392,273,275,341,316,223,377,376,214,247,313,598,3938,4234,4734,473,387,266,292,504,291,213,328,348,474,455,584,274,1916,1941,1927,3318,3741,2023,3246,2794,1914,3208,3304,3753,3616,2139,2147,2546,2262,2835,4016,3858,3907,3910,3932,3996,4035,4079,4310,2116,1925,3675,1975,3769,2085,2733,3743,2224,2238,3761,3302,1945,3540,3971,3590,3520,3316,3173,3935,3244,2122,3452,3496,1973,2076,2051,3426,2276,3189,3206,3474,3771,3384,3230,2144,2659,4198,4201,4692,3480,2445,3228,1811,3913,3968,4443,1912,4280,4534,4911,2230,3775,2423,3791,3705,3198,2859,3388,3614,1861,3943,3947,4179,4448,4479,4852,1837,3332,2101,4402,2104,3828,1955,2164,4411,4454,4470,4506,4932,1894,1897,2184,4060,4195,4451,2400,4121,4542,2402,4212,4784,2087,4032,2170,2173,1938,2649,3252,3254,1984,3645,2180,3922,3925,4013,4361,2176,2642,4043,3410,3404,1997,4551,3813,3382,3376,2119,2041,2284,2298,2302,2306,2322,2326,2336,2340,2342,2344,2358,2366,2368,2370,2372,2382,2396,2467,3723,3516,3727,3522,3402,3789,2636,4388,2651,3965,3631,3236,3785,2752,3368,3566,2665,2421,2404,2455,2679,2695,3192,1963,1966,1992,827,826,1804,1390,1296,1178,1175,1172,1623,1515,1240,959,1208,1674,1552,1474,1685,1684,1682,1681,1569,1562,1481,1302,974,1663,1581,1588,1233,1704,1680,1327,879,852,991,863,1362,1351,1258,1003,1059,872,856,1109,1060,1517,905,1388,1325,912,1497,958,1209,1534,1463,1082,1081,1080,1055,1537,1494,1107,1106,914,788,787,732,1049,1778,1667,1539,1014,957,956,911,688,1543,855,1439,1438,1436,1431,1411,1410,1409,1382,1295,1196,1163,882,723,721,1304,1214,1184,1180,1171,1151,1150,972,943,823,822,802,1600,1430,1085,986,803,973,946,862,1707,900,988,1740,1535,1376,1790,1789,1763,1753,1795,1793,1787,1786,1785,1236,1032,1591,1413,1412,1207,1125,838,1427,1642,1556,1373,1732,1676,1649,1646,1570,1563,1526,1482,1479,1459,1455,1452,1450,1448,1447,1446,979,1661,1550,1549,1548,1298,1748,1632,1582,975,1701,1700,901,850,743,1349,1257,1255,888,873,1518,1066,1013,977,1324,1097,1074,1073,1012,932,898,1155,1121,1120,677,916,913,865,786,695,691,918,810,1035,1425,1468,1461,907,1344,1702,749,1363,1421,1160,1495,1096,1028,1011,1008,1308,1292,1101,1540,886,1608,1305,1149,1706,1690,1792,1782,1780,1432,1424,1559,1677,1471,1361,1253,768,1153,1170,1672,1426,1558,1323,1093,817,816,1407,1293,1442,1441,1440,1194,1610,1238,1237,1557,1119,1604,1310,1469,1234,1602,996,924,1077,1064,21,8,1429,1360,1088,1245,818,1391,1498,1496,194,145,131,129,124,120,114,3,1210,1098,955,899,800,1364,1068,1079,789,1541,1261,1105,1104,915,730,728,1629,1157,1733,1606,1437,1383,1294,1225,1203,1200,1198,1166,920,874,1611,1215,1173,1145,942,864,801,744,738,737,716,693,987,985,999,945,933,861,1645,887,1686,1739,1536,1791,1783,1781,1762,1754,1796,1794,1761,1760,1752,1751,1232,1726,1725,1124,754,1406,1580,1553,1309,1643,1647,1572,1571,1561,1525,1485,1480,1478,1457,1454,1451,1449,1445,923,922,1660,1710,1697,1712,1742,1730,1692,1334,1716,1551,1766,1747,1775,1664,1756,976,1703,1698,997,1350,982,1596,1419,1416,1072,1130,731,1625,1624,1046,799,712,692,1312,947,1555,1375,1467,1462,1765,1662,1345,926,845,740,1276,1595,1422,1269,116,1026,950,1102,1223,1599,1691,965,851,1022,1021,1274,1186,1089,766,1143,1139,689,1428,1679,1251,1065,931,1378,1377,1131,1538,1202,1303,1183,1784,1239,1043,1470,925,1185,1087,1357,1138,1235,2,23,7,193,173,172,157,153,130,115,122,121,203,202,201,200,199,197,195,192,191,190,189,188,185,183,182,181,178,177,176,175,174,171,168,167,166,163,161,160,159,158,155,154,152,151,150,149,147,146,141,138,135,134,133,132,128,127,118,829,1204,1737,1705,1385,1341,1340,1126,1386,1342,1211,707,699,1182,966,929,1488,1354,706,1267,1147,711,1311,1678,1273,1560,910,1423,204,1133,1128,1326,1504,1501,1500,1156,719,718,1321])).
% 54.42/54.18 cnf(5142,plain,
% 54.42/54.18 (E(x51421,f11(a69,x51421,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x51422)))),
% 54.42/54.18 inference(rename_variables,[],[4328])).
% 54.42/54.18 cnf(5144,plain,
% 54.42/54.18 (E(x51441,f11(a69,x51441,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x51442)))),
% 54.42/54.18 inference(rename_variables,[],[4328])).
% 54.42/54.18 cnf(5146,plain,
% 54.42/54.18 (E(x51461,f11(a69,x51461,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x51462)))),
% 54.42/54.18 inference(rename_variables,[],[4328])).
% 54.42/54.18 cnf(5148,plain,
% 54.42/54.18 (E(x51481,f11(a69,x51481,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x51482)))),
% 54.42/54.18 inference(rename_variables,[],[4328])).
% 54.42/54.18 cnf(5150,plain,
% 54.42/54.18 (E(x51501,f11(a69,x51501,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x51502)))),
% 54.42/54.18 inference(rename_variables,[],[4328])).
% 54.42/54.18 cnf(5152,plain,
% 54.42/54.18 (E(x51521,f11(a69,x51521,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x51522)))),
% 54.42/54.18 inference(rename_variables,[],[4328])).
% 54.42/54.18 cnf(5154,plain,
% 54.42/54.18 (E(x51541,f11(a69,x51541,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x51542)))),
% 54.42/54.18 inference(rename_variables,[],[4328])).
% 54.42/54.18 cnf(5156,plain,
% 54.42/54.18 (E(x51561,f11(a69,x51561,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x51562)))),
% 54.42/54.18 inference(rename_variables,[],[4328])).
% 54.42/54.18 cnf(5158,plain,
% 54.42/54.18 (E(x51581,f11(a69,x51581,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x51582)))),
% 54.42/54.18 inference(rename_variables,[],[4328])).
% 54.42/54.18 cnf(5160,plain,
% 54.42/54.18 (E(x51601,f11(a69,x51601,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x51602)))),
% 54.42/54.18 inference(rename_variables,[],[4328])).
% 54.42/54.18 cnf(5161,plain,
% 54.42/54.18 (P56(f11(a69,a1,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x51611)))),
% 54.42/54.18 inference(scs_inference,[],[267,290,323,339,263,418,288,246,272,266,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,4995,196,187,186,184,180,179,169,165,164,162])).
% 54.42/54.18 cnf(5162,plain,
% 54.42/54.18 (E(x51621,f11(a69,x51621,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x51622)))),
% 54.42/54.18 inference(rename_variables,[],[4328])).
% 54.42/54.18 cnf(5163,plain,
% 54.42/54.18 (P6(f11(a69,a68,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x51631)))),
% 54.42/54.18 inference(scs_inference,[],[267,290,323,339,263,418,288,246,272,265,266,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,4995,196,187,186,184,180,179,169,165,164,162,156])).
% 54.42/54.18 cnf(5164,plain,
% 54.42/54.18 (E(x51641,f11(a69,x51641,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x51642)))),
% 54.42/54.18 inference(rename_variables,[],[4328])).
% 54.42/54.18 cnf(5166,plain,
% 54.42/54.18 (E(x51661,f11(a69,x51661,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x51662)))),
% 54.42/54.18 inference(rename_variables,[],[4328])).
% 54.42/54.18 cnf(5168,plain,
% 54.42/54.18 (E(x51681,f11(a69,x51681,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x51682)))),
% 54.42/54.18 inference(rename_variables,[],[4328])).
% 54.42/54.18 cnf(5170,plain,
% 54.42/54.18 (E(x51701,f11(a69,x51701,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x51702)))),
% 54.42/54.18 inference(rename_variables,[],[4328])).
% 54.42/54.18 cnf(5171,plain,
% 54.42/54.18 (P42(f11(a69,a71,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x51711)))),
% 54.42/54.18 inference(scs_inference,[],[267,290,323,339,263,418,350,226,288,229,407,246,272,265,266,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139])).
% 54.42/54.18 cnf(5172,plain,
% 54.42/54.18 (E(x51721,f11(a69,x51721,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x51722)))),
% 54.42/54.18 inference(rename_variables,[],[4328])).
% 54.42/54.18 cnf(5174,plain,
% 54.42/54.18 (E(x51741,f11(a69,x51741,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x51742)))),
% 54.42/54.18 inference(rename_variables,[],[4328])).
% 54.42/54.18 cnf(5176,plain,
% 54.42/54.18 (E(x51761,f11(a69,x51761,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x51762)))),
% 54.42/54.18 inference(rename_variables,[],[4328])).
% 54.42/54.18 cnf(5178,plain,
% 54.42/54.18 (E(x51781,f11(a69,x51781,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x51782)))),
% 54.42/54.18 inference(rename_variables,[],[4328])).
% 54.42/54.18 cnf(5180,plain,
% 54.42/54.18 (E(x51801,f11(a69,x51801,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x51802)))),
% 54.42/54.18 inference(rename_variables,[],[4328])).
% 54.42/54.18 cnf(5181,plain,
% 54.42/54.18 (P47(f11(a69,a68,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x51811)))),
% 54.42/54.18 inference(scs_inference,[],[267,290,323,339,263,418,350,226,288,212,229,407,246,349,272,376,265,214,266,292,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123])).
% 54.42/54.18 cnf(5182,plain,
% 54.42/54.18 (E(x51821,f11(a69,x51821,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x51822)))),
% 54.42/54.18 inference(rename_variables,[],[4328])).
% 54.42/54.18 cnf(5184,plain,
% 54.42/54.18 (E(x51841,f11(a69,x51841,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x51842)))),
% 54.42/54.18 inference(rename_variables,[],[4328])).
% 54.42/54.18 cnf(5186,plain,
% 54.42/54.18 (E(x51861,f11(a69,x51861,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x51862)))),
% 54.42/54.18 inference(rename_variables,[],[4328])).
% 54.42/54.18 cnf(5188,plain,
% 54.42/54.18 (E(x51881,f11(a69,x51881,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x51882)))),
% 54.42/54.18 inference(rename_variables,[],[4328])).
% 54.42/54.18 cnf(5189,plain,
% 54.42/54.18 (P9(a69,f56(f53(f20(a70),f11(a70,f3(a70),f3(a70))),a70),f58(f53(f20(a70),f11(a70,f3(a70),f3(a70))),a70))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,350,226,288,208,405,212,229,407,246,210,349,272,376,265,214,266,292,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,3940,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980])).
% 54.42/54.18 cnf(5192,plain,
% 54.42/54.18 (P9(a70,x51921,x51921)),
% 54.42/54.18 inference(rename_variables,[],[449])).
% 54.42/54.18 cnf(5193,plain,
% 54.42/54.18 (~P9(a70,f11(a70,x51931,f3(a70)),x51931)),
% 54.42/54.18 inference(rename_variables,[],[4404])).
% 54.42/54.18 cnf(5195,plain,
% 54.42/54.18 (P9(a71,f9(a71,f4(a1,a32)),f9(a71,f4(a1,a73)))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,350,226,288,208,405,212,449,229,407,246,210,349,272,376,265,214,266,292,474,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4404,3940,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165])).
% 54.42/54.18 cnf(5197,plain,
% 54.42/54.18 (P13(a1,f9(a1,f9(a1,f11(a1,f8(a1,x51971,f53(f53(f10(a1),x51972),f2(a1))),x51973))),f11(a1,x51971,x51973))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,419,350,226,288,208,405,212,449,229,407,246,210,341,349,272,376,265,214,266,292,474,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4404,5110,3940,2258,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771])).
% 54.42/54.18 cnf(5199,plain,
% 54.42/54.18 (~P10(a69,f53(f53(f20(a69),a44),f11(a69,x51991,x51992)),f53(f53(f20(a69),a44),x51992))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,419,350,226,288,599,208,405,212,449,229,407,246,210,341,349,272,376,265,214,266,292,474,4417,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4404,5110,3940,2258,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631])).
% 54.42/54.18 cnf(5201,plain,
% 54.42/54.18 (~P10(f72(a68),f9(f72(a68),f53(f53(f10(f72(a68)),f12(f72(a68),f13(f26(a69,f2(f72(a68)))))),f12(f72(a68),f13(f26(a69,f2(f72(a68))))))),f53(f53(f10(f72(a68)),f12(f72(a68),f13(f26(a69,f2(f72(a68)))))),f12(f72(a68),f13(f26(a69,f2(f72(a68)))))))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,419,350,226,288,599,208,405,212,449,229,407,246,210,341,349,272,376,265,214,266,292,474,4417,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5095,4404,5110,3940,2258,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158])).
% 54.42/54.18 cnf(5203,plain,
% 54.42/54.18 (P9(f11(a69,f53(f53(f10(a69),f8(a69,x52031,x52031)),x52032),a69),f53(f53(f10(a69),f2(a69)),x52033),f53(f53(f10(a69),f2(a69)),f8(a69,x52033,x52034)))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,419,350,497,226,288,599,208,405,212,449,229,407,246,210,341,349,272,376,265,214,266,292,474,4417,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4983,5095,5034,4404,5110,3940,2258,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208])).
% 54.42/54.18 cnf(5208,plain,
% 54.42/54.18 (~P9(a69,f11(a69,x52081,f13(f11(a68,f26(a69,f2(a69)),f3(a68)))),x52081)),
% 54.42/54.18 inference(rename_variables,[],[5101])).
% 54.42/54.18 cnf(5209,plain,
% 54.42/54.18 (P9(a69,f8(a69,x52091,x52092),x52091)),
% 54.42/54.18 inference(rename_variables,[],[497])).
% 54.42/54.18 cnf(5222,plain,
% 54.42/54.18 (~P10(a68,f2(a68),f9(a68,f11(a68,f26(a69,f24(f9(a68,f2(a68)))),f3(a68))))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,1811,419,350,497,226,288,599,208,405,212,449,229,407,246,210,341,349,272,376,265,214,266,292,474,5116,4514,4417,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4533,4127,4983,5095,5034,5101,4404,5110,3940,4459,2258,2250,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142])).
% 54.42/54.18 cnf(5227,plain,
% 54.42/54.18 (P9(a69,x52271,f53(f53(f10(a69),x52271),x52271))),
% 54.42/54.18 inference(rename_variables,[],[493])).
% 54.42/54.18 cnf(5229,plain,
% 54.42/54.18 (~P9(a69,f58(f53(f20(a70),f11(a70,f3(a70),f3(a70))),a70),f56(f53(f20(a70),f11(a70,f3(a70),f3(a70))),a70))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,1811,309,419,350,497,493,226,288,599,208,405,212,449,229,407,246,210,341,349,225,272,376,265,377,214,266,292,474,5116,4514,4417,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4533,4127,4983,5095,5034,4161,5101,4404,5110,3940,4445,4459,2258,2250,1821,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552])).
% 54.42/54.18 cnf(5232,plain,
% 54.42/54.18 (P9(a69,x52321,f53(f53(f10(a69),x52321),x52321))),
% 54.42/54.18 inference(rename_variables,[],[493])).
% 54.42/54.18 cnf(5239,plain,
% 54.42/54.18 (P9(a69,x52391,f53(f53(f10(a69),x52391),x52391))),
% 54.42/54.18 inference(rename_variables,[],[493])).
% 54.42/54.18 cnf(5245,plain,
% 54.42/54.18 (P10(a70,f8(a70,x52451,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,f7(a70,f8(a70,x52452,x52451)),f2(a70))),f3(a70))),f3(a70))),x52452)),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,1811,309,419,350,497,493,5227,5232,458,226,288,599,208,600,405,212,449,229,407,432,391,602,246,306,210,341,349,225,272,376,265,377,214,275,266,292,291,474,274,5116,4514,4417,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4533,4127,4983,5095,4733,5034,4768,4161,4541,5101,4404,5110,3940,4445,4459,2258,2250,3342,1821,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707])).
% 54.42/54.18 cnf(5246,plain,
% 54.42/54.18 (P10(a70,x52461,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x52461,f2(a70))),f3(a70))),f3(a70)))),
% 54.42/54.18 inference(rename_variables,[],[4541])).
% 54.42/54.18 cnf(5252,plain,
% 54.42/54.18 (P9(f77(x52521,a70),x52522,x52522)),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,1811,309,419,445,332,350,497,493,5227,5232,458,226,288,599,208,600,405,212,449,5192,229,407,432,391,602,246,306,210,341,349,225,272,376,265,377,214,275,266,292,291,474,274,5116,4514,4417,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4533,4376,4127,4983,5095,4733,5034,4768,4161,4541,5101,4404,5110,3940,4445,4459,2258,2250,3342,1821,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799])).
% 54.42/54.18 cnf(5262,plain,
% 54.42/54.18 (~E(f11(a69,f13(f11(a68,f26(a69,f2(a69)),f3(a68))),f24(f2(a68))),f2(a69))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,1811,309,419,445,332,350,497,493,5227,5232,458,226,288,599,208,600,405,212,449,5192,229,407,432,391,602,246,306,210,341,349,225,272,376,265,377,214,275,266,292,291,474,274,5116,4514,4417,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4562,4533,4376,4127,4983,5095,5038,4733,5034,4768,4161,4541,5101,4404,4969,5110,4954,4209,3940,4445,5128,4459,2258,2250,3342,1821,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835])).
% 54.42/54.18 cnf(5263,plain,
% 54.42/54.18 (~P9(a68,f26(a69,f11(a69,f13(f11(a68,f26(a69,f2(a69)),f3(a68))),f24(x52631))),x52631)),
% 54.42/54.18 inference(rename_variables,[],[4969])).
% 54.42/54.18 cnf(5266,plain,
% 54.42/54.18 (~P9(a68,f26(a69,f11(a69,f13(f11(a68,f26(a69,f2(a69)),f3(a68))),f24(x52661))),x52661)),
% 54.42/54.18 inference(rename_variables,[],[4969])).
% 54.42/54.18 cnf(5270,plain,
% 54.42/54.18 (~P56(a69)),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,1811,309,419,445,332,350,497,493,5227,5232,458,226,288,599,208,600,405,212,449,5192,229,407,432,391,602,246,306,210,341,349,225,272,376,265,377,214,275,266,292,291,474,274,5116,4514,4417,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4562,4533,4376,4127,4983,5095,5038,3909,4733,5034,4768,4161,4541,5101,4404,4969,5263,5110,4954,4209,3940,4445,5128,4459,3919,2258,2250,3342,1821,2425,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969])).
% 54.42/54.18 cnf(5272,plain,
% 54.42/54.18 (~E(f11(a69,x52721,f4(a1,f11(a68,f2(f72(a1)),f3(a68)))),f2(a69))),
% 54.42/54.18 inference(rename_variables,[],[2425])).
% 54.42/54.18 cnf(5277,plain,
% 54.42/54.18 (E(f53(f53(f10(a70),f3(a70)),x52771),x52771)),
% 54.42/54.18 inference(rename_variables,[],[452])).
% 54.42/54.18 cnf(5280,plain,
% 54.42/54.18 (~P10(a69,f11(a69,x52801,x52802),x52802)),
% 54.42/54.18 inference(rename_variables,[],[599])).
% 54.42/54.18 cnf(5281,plain,
% 54.42/54.18 (P9(a69,x52811,f53(f53(f10(a69),x52811),x52811))),
% 54.42/54.18 inference(rename_variables,[],[493])).
% 54.42/54.18 cnf(5284,plain,
% 54.42/54.18 (P9(a68,f2(a68),f27(a1,x52841))),
% 54.42/54.18 inference(rename_variables,[],[2431])).
% 54.42/54.18 cnf(5289,plain,
% 54.42/54.18 (~P10(a68,x52891,x52891)),
% 54.42/54.18 inference(rename_variables,[],[1811])).
% 54.42/54.18 cnf(5291,plain,
% 54.42/54.18 (P10(a70,f53(f53(f10(a70),f9(a70,f3(a70))),f3(a70)),f53(f53(f10(a70),f2(a70)),f3(a70)))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,1811,309,419,445,452,530,332,350,497,493,5227,5232,5239,458,226,288,599,208,600,405,212,449,5192,229,407,432,391,602,246,306,210,341,349,225,396,272,376,265,377,224,223,214,275,266,292,291,474,274,4463,4606,5116,4514,4417,4474,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4562,4533,4376,4127,4983,5095,5038,3909,4733,3991,5034,4768,4161,4541,5101,4404,4969,5263,5110,4954,4209,3940,4445,5128,4459,3919,2258,2250,2431,3342,1821,2425,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577])).
% 54.42/54.18 cnf(5301,plain,
% 54.42/54.18 (P9(a68,f9(a68,f9(a68,x53011)),x53011)),
% 54.42/54.18 inference(rename_variables,[],[3408])).
% 54.42/54.18 cnf(5304,plain,
% 54.42/54.18 (P9(a69,x53041,f53(f53(f10(a69),x53041),x53041))),
% 54.42/54.18 inference(rename_variables,[],[493])).
% 54.42/54.18 cnf(5307,plain,
% 54.42/54.18 (~P10(a70,x53071,f11(a70,x53071,f2(a70)))),
% 54.42/54.18 inference(rename_variables,[],[4876])).
% 54.42/54.18 cnf(5319,plain,
% 54.42/54.18 (~P10(a69,f11(a69,f53(f53(f10(a69),x53191),x53192),x53193),f11(a69,f53(f53(f10(a69),f8(a69,x53191,f8(a69,x53191,x53194))),x53192),x53193))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,1811,309,419,445,452,530,332,350,497,5209,493,5227,5232,5239,5281,458,226,288,599,5280,208,600,405,212,379,449,5192,229,407,432,391,601,602,246,306,586,210,341,349,225,396,272,376,265,377,224,223,214,275,266,387,292,291,474,274,4463,4606,5116,4514,4417,4474,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4562,4533,4376,4127,4983,5095,5038,3909,4733,3991,5034,4768,4161,4541,5101,4404,4876,4969,5263,5110,4954,4209,3940,4445,5128,4459,3919,2258,3408,2250,1880,2431,3342,3240,1821,3858,2425,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790])).
% 54.42/54.18 cnf(5320,plain,
% 54.42/54.18 (~P10(a69,f11(a69,x53201,x53202),x53202)),
% 54.42/54.18 inference(rename_variables,[],[599])).
% 54.42/54.18 cnf(5327,plain,
% 54.42/54.18 (P9(a68,x53271,x53271)),
% 54.42/54.18 inference(rename_variables,[],[447])).
% 54.42/54.18 cnf(5335,plain,
% 54.42/54.18 (P10(a70,f8(a70,f11(a70,f8(a70,x53351,f3(a70)),f3(a70)),f3(a70)),x53351)),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,460,553,1811,309,419,445,452,5277,530,257,332,350,497,5209,493,5227,5232,5239,5281,458,447,226,232,236,240,244,288,599,5280,208,600,296,321,405,212,379,449,5192,229,407,432,391,601,602,246,306,586,324,210,307,341,349,225,396,272,376,265,377,224,223,214,275,266,387,292,291,474,274,4463,4606,5116,4514,4417,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4562,4533,4002,4376,4127,4983,5095,5038,3909,4733,3991,5034,4768,4161,4541,5101,4404,4876,4969,5263,5110,4954,4209,3940,4445,5128,4459,3919,2258,3408,2250,3444,1880,1827,2431,3342,3240,1821,3858,2425,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362])).
% 54.42/54.18 cnf(5336,plain,
% 54.42/54.18 (P9(a70,f8(a70,f11(a70,x53361,f3(a70)),f3(a70)),x53361)),
% 54.42/54.18 inference(rename_variables,[],[1827])).
% 54.42/54.18 cnf(5339,plain,
% 54.42/54.18 (P9(a69,x53391,f53(f53(f10(a69),x53391),x53391))),
% 54.42/54.18 inference(rename_variables,[],[493])).
% 54.42/54.18 cnf(5342,plain,
% 54.42/54.18 (~P10(a69,f8(a69,f11(a69,x53421,x53422),x53422),x53421)),
% 54.42/54.18 inference(rename_variables,[],[4880])).
% 54.42/54.18 cnf(5347,plain,
% 54.42/54.18 (~P57(f9(a70,f9(a70,a69)))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,460,553,1811,309,419,445,452,5277,530,257,332,350,442,497,5209,493,5227,5232,5239,5281,5304,458,447,226,232,236,240,244,288,599,5280,208,600,296,321,405,212,379,449,5192,229,407,432,391,601,602,246,306,586,324,210,307,341,349,225,396,272,376,265,377,224,223,214,275,266,387,292,291,474,274,4463,4606,5116,4514,4417,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4562,4533,4002,4376,4127,4983,5095,5038,3909,4733,3991,5034,4768,4161,4541,5101,4880,5342,4404,4876,4969,5263,5110,4954,4209,3940,4445,5128,4459,3919,4177,2258,3408,2250,3444,1880,1827,2431,3342,3240,1821,3858,2425,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160])).
% 54.42/54.18 cnf(5350,plain,
% 54.42/54.18 (~P9(a69,f11(a69,x53501,f53(f53(f10(a69),f13(f11(a68,f26(a69,f2(a69)),f3(a68)))),f13(f11(a68,f26(a69,f2(a69)),f3(a68))))),x53501)),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,460,553,509,1811,309,419,445,452,5277,530,257,332,350,442,497,5209,493,5227,5232,5239,5281,5304,5339,458,447,226,232,236,240,244,288,599,5280,208,600,296,321,405,212,379,449,5192,229,407,432,391,601,602,246,306,586,324,210,307,341,349,225,396,272,376,265,377,224,223,214,275,266,387,292,291,474,274,4463,4606,5116,4514,4417,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4562,4533,4002,4376,4127,4983,5095,5038,3909,4733,3991,5034,4768,4161,4541,5101,5208,4880,5342,4404,4876,4969,5263,5110,4954,4209,3940,4445,5128,4459,3919,4177,2258,3408,2250,3444,1880,1827,2431,3342,3240,1821,3858,2425,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537])).
% 54.42/54.18 cnf(5351,plain,
% 54.42/54.18 (~P9(a69,f11(a69,x53511,f13(f11(a68,f26(a69,f2(a69)),f3(a68)))),x53511)),
% 54.42/54.18 inference(rename_variables,[],[5101])).
% 54.42/54.18 cnf(5352,plain,
% 54.42/54.18 (P9(a69,x53521,f53(f53(f10(a69),x53521),x53521))),
% 54.42/54.18 inference(rename_variables,[],[493])).
% 54.42/54.18 cnf(5357,plain,
% 54.42/54.18 (P9(a69,x53571,f11(a69,x53572,x53571))),
% 54.42/54.18 inference(rename_variables,[],[495])).
% 54.42/54.18 cnf(5360,plain,
% 54.42/54.18 (E(f11(a69,x53601,f11(a69,x53602,x53603)),f11(a69,x53602,f11(a69,x53601,x53603)))),
% 54.42/54.18 inference(rename_variables,[],[518])).
% 54.42/54.18 cnf(5362,plain,
% 54.42/54.18 (~P9(a70,f9(a70,f9(a70,f3(a70))),f8(a70,f11(a70,f9(a70,f3(a70)),f3(a70)),f3(a70)))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,518,460,553,509,1811,309,419,445,452,5277,530,257,332,350,442,444,497,5209,493,5227,5232,5239,5281,5304,5339,458,447,226,232,236,240,244,288,599,5280,394,208,600,296,321,405,495,212,314,379,449,5192,229,407,432,391,601,602,246,306,586,324,210,307,341,349,225,396,272,376,265,377,224,223,214,275,266,387,292,291,474,274,4463,4606,5116,4514,4417,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4562,4533,4002,4376,4127,4983,5095,5038,3909,4733,3991,5034,4768,4161,4541,5101,5208,4880,5342,4404,4876,4969,5263,5110,4954,4209,3940,4445,5128,4459,3919,4177,2258,3408,2250,3444,1880,1827,5336,2431,3342,3240,1821,3858,2425,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233])).
% 54.42/54.18 cnf(5368,plain,
% 54.42/54.18 (P9(a70,x53681,x53681)),
% 54.42/54.18 inference(rename_variables,[],[449])).
% 54.42/54.18 cnf(5373,plain,
% 54.42/54.18 (P9(a68,x53731,x53731)),
% 54.42/54.18 inference(rename_variables,[],[447])).
% 54.42/54.18 cnf(5375,plain,
% 54.42/54.18 (~E(f53(f53(f20(a69),f53(f53(f10(a69),f2(a69)),f2(a69))),a44),f53(f53(f20(a69),f11(a69,f9(a70,f11(a68,f9(a70,f8(a69,f53(f53(f10(a69),f2(a69)),f2(a69)),f53(f53(f10(a69),f2(a69)),f2(a69)))),f3(a68))),f53(f53(f10(a69),f2(a69)),f2(a69)))),a44))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,518,580,460,553,509,1811,251,309,419,445,452,5277,530,257,332,350,442,444,497,5209,493,5227,5232,5239,5281,5304,5339,5352,458,447,5327,226,232,236,240,244,288,599,5280,394,208,600,296,321,405,463,495,212,314,379,449,5192,229,407,432,391,601,602,246,306,586,324,210,307,341,349,225,396,272,376,265,377,224,388,223,214,275,266,387,292,291,474,274,4463,4606,5116,4514,4417,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4636,4562,4533,4002,4376,4127,4983,5095,5038,3909,4733,3991,5034,4803,4768,4161,4541,5101,5208,4880,5342,4404,4876,4969,5263,5110,4954,4209,3940,4445,5128,4459,3919,4177,2258,1910,3408,2250,3444,1880,1827,5336,2431,3342,3240,1821,3858,2425,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588])).
% 54.42/54.18 cnf(5376,plain,
% 54.42/54.18 (P9(a69,x53761,f53(f53(f10(a69),x53761),x53761))),
% 54.42/54.18 inference(rename_variables,[],[493])).
% 54.42/54.18 cnf(5377,plain,
% 54.42/54.18 (~E(x53771,f11(a69,f9(a70,f11(a68,f9(a70,f8(a69,x53771,x53771)),f3(a68))),x53771))),
% 54.42/54.18 inference(rename_variables,[],[4636])).
% 54.42/54.18 cnf(5378,plain,
% 54.42/54.18 (P9(a69,f2(a69),x53781)),
% 54.42/54.18 inference(rename_variables,[],[463])).
% 54.42/54.18 cnf(5382,plain,
% 54.42/54.18 (~P10(a70,f11(a70,f8(a70,x53821,f3(a70)),f3(a70)),x53821)),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,509,1811,251,309,419,445,452,5277,530,257,332,350,442,444,497,5209,493,5227,5232,5239,5281,5304,5339,5352,458,447,5327,226,232,236,240,244,288,599,5280,394,208,600,296,321,405,463,495,212,314,379,449,5192,229,407,432,391,601,602,246,306,586,324,210,307,341,349,225,396,272,376,265,377,224,388,223,214,275,266,387,292,291,474,274,4463,4606,5116,4514,4417,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4636,4562,4533,4002,4376,4127,4983,5095,5038,3909,4733,3991,5034,4803,4768,4161,4541,5101,5208,4880,5342,4404,5193,4876,4969,5263,5110,4954,4209,3940,4445,5128,4459,3919,4177,2258,1910,3408,2250,3444,1880,1827,5336,2431,3342,3240,1821,3858,2425,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272])).
% 54.42/54.18 cnf(5383,plain,
% 54.42/54.18 (~P9(a70,f11(a70,x53831,f3(a70)),x53831)),
% 54.42/54.18 inference(rename_variables,[],[4404])).
% 54.42/54.18 cnf(5386,plain,
% 54.42/54.18 (~E(x53861,f11(a69,f9(a70,f11(a68,f9(a70,f8(a69,x53861,x53861)),f3(a68))),x53861))),
% 54.42/54.18 inference(rename_variables,[],[4636])).
% 54.42/54.18 cnf(5387,plain,
% 54.42/54.18 (P9(a69,f2(a69),x53871)),
% 54.42/54.18 inference(rename_variables,[],[463])).
% 54.42/54.18 cnf(5389,plain,
% 54.42/54.18 (~P10(a68,f2(a68),f26(a69,f11(a69,f2(a69),f24(f2(a68)))))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,509,1811,251,309,419,445,452,5277,530,257,332,350,442,444,497,5209,493,5227,5232,5239,5281,5304,5339,5352,458,447,5327,5373,226,232,236,240,244,288,599,5280,394,208,600,296,321,405,463,5378,495,212,314,379,449,5192,229,407,432,391,601,602,246,306,586,324,210,307,341,349,225,396,272,376,265,377,224,388,223,214,275,266,387,292,291,474,274,4463,4606,5116,4514,4417,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4636,5377,4562,4533,4002,4376,4127,4983,5095,5038,3909,4733,3991,5034,4803,4768,4161,4541,5101,5208,4880,5342,4404,5193,4876,4883,4969,5263,5110,4954,4209,3940,4445,5128,4459,3919,4177,2258,1910,3408,2250,3444,1880,1827,5336,2431,3342,3240,1821,3858,2425,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308])).
% 54.42/54.18 cnf(5390,plain,
% 54.42/54.18 (~P10(a69,x53901,f11(a69,f2(a69),x53901))),
% 54.42/54.18 inference(rename_variables,[],[4883])).
% 54.42/54.18 cnf(5391,plain,
% 54.42/54.18 (P9(a68,x53911,x53911)),
% 54.42/54.18 inference(rename_variables,[],[447])).
% 54.42/54.18 cnf(5411,plain,
% 54.42/54.18 (P10(a69,f2(a69),f11(a69,f11(a69,f4(a1,f11(a68,f2(f72(a1)),f3(a68))),f2(a69)),f11(a69,f4(a1,f11(a68,f2(f72(a1)),f3(a68))),f2(a69))))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,509,1811,251,309,419,445,452,5277,530,257,332,350,442,444,497,5209,493,5227,5232,5239,5281,5304,5339,5352,458,447,5327,5373,226,232,236,240,244,288,599,5280,394,208,600,296,321,405,463,5378,495,212,314,379,449,5192,229,407,432,384,391,601,602,246,306,586,324,210,307,341,349,225,396,272,376,265,377,224,388,223,214,275,266,387,292,291,474,274,4463,4606,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4636,5377,4562,4533,4002,4376,4127,4393,4983,3998,5095,5038,3909,4733,3991,5034,4803,4768,4161,4541,5101,5208,4880,5342,4404,5193,4876,4883,4969,5263,5110,4954,4209,2338,3940,5069,4445,5128,4031,4459,3919,4177,2258,1910,3408,2250,3444,1880,1827,5336,2431,3342,3240,1821,3858,2425,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749])).
% 54.42/54.18 cnf(5417,plain,
% 54.42/54.18 (~P10(a68,f2(a68),f26(a69,f11(a69,f2(a69),f2(a69))))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,509,1811,251,309,419,445,452,5277,530,257,332,350,442,444,497,5209,493,5227,5232,5239,5281,5304,5339,5352,458,447,5327,5373,226,232,236,240,244,288,599,5280,394,208,600,296,321,405,463,5378,495,212,314,379,449,5192,229,407,432,384,391,601,602,246,306,586,324,210,307,341,349,225,396,272,376,265,377,224,388,223,214,275,266,387,292,291,474,274,4463,4606,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4636,5377,4562,4533,4002,4376,4127,4393,4983,3998,5095,5038,3909,4733,3991,5034,4803,4768,4161,4946,4541,5101,5208,4880,5342,4404,5193,4876,4883,5390,4969,5263,5110,4954,4209,2338,3940,5069,4445,5128,4031,4459,3919,4177,2258,1910,3408,2250,3444,1880,1827,5336,2431,3342,3240,1821,3858,2425,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109])).
% 54.42/54.18 cnf(5418,plain,
% 54.42/54.18 (~P10(a69,x54181,f11(a69,f2(a69),x54181))),
% 54.42/54.18 inference(rename_variables,[],[4883])).
% 54.42/54.18 cnf(5420,plain,
% 54.42/54.18 (~P10(a69,f11(a69,f2(a69),f11(a69,f11(a69,f13(f11(a68,f26(a69,f2(a69)),f3(a68))),x54201),f2(a69))),x54201)),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,509,1811,251,309,419,445,452,5277,530,257,332,350,442,444,497,5209,493,5227,5232,5239,5281,5304,5339,5352,458,447,5327,5373,226,232,236,240,244,288,599,5280,394,208,600,296,321,405,463,5378,495,212,314,379,449,5192,229,407,432,384,391,601,602,246,306,586,324,210,307,341,349,225,396,272,376,265,377,224,388,223,214,275,266,387,292,291,474,274,4463,4606,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4636,5377,4562,4533,4002,4376,4127,4393,4983,3998,5095,5038,3909,4733,3991,5034,4803,4768,4161,4946,4541,5101,5208,4880,5342,4527,4404,5193,4876,4883,5390,4969,5263,5110,4954,4209,2338,3940,5069,4445,5128,4031,4459,3919,4177,2258,1910,3408,2250,3444,1880,1827,5336,2431,3342,3240,1821,3858,2425,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421])).
% 54.42/54.18 cnf(5424,plain,
% 54.42/54.18 (~P9(a68,f26(a69,f11(a69,f13(f11(a68,f26(a69,f2(a69)),f3(a68))),f24(x54241))),x54241)),
% 54.42/54.18 inference(rename_variables,[],[4969])).
% 54.42/54.18 cnf(5427,plain,
% 54.42/54.18 (~P9(a69,f11(a69,x54271,f13(f11(a68,f26(a69,f2(a69)),f3(a68)))),x54271)),
% 54.42/54.18 inference(rename_variables,[],[5101])).
% 54.42/54.18 cnf(5432,plain,
% 54.42/54.18 (P9(a68,f9(a68,f53(f53(f10(a68),x54321),x54321)),f53(f53(f10(a68),x54322),x54322))),
% 54.42/54.18 inference(rename_variables,[],[529])).
% 54.42/54.18 cnf(5437,plain,
% 54.42/54.18 (~P10(a68,x54371,x54371)),
% 54.42/54.18 inference(rename_variables,[],[1811])).
% 54.42/54.18 cnf(5442,plain,
% 54.42/54.18 (E(f53(f53(f10(a69),f53(f53(f10(a69),f2(a69)),x54421)),x54422),f53(f53(f10(a69),f53(f53(f10(a69),f2(a69)),x54421)),x54423))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,529,509,1811,5289,251,309,419,445,452,5277,530,257,332,350,442,444,497,5209,493,5227,5232,5239,5281,5304,5339,5352,458,447,5327,5373,226,232,236,240,244,288,599,5280,394,208,600,296,321,405,463,5378,495,212,314,379,449,5192,229,407,432,384,391,601,602,246,306,586,324,210,307,341,349,225,396,272,376,265,377,224,388,223,214,275,266,387,292,291,474,274,4463,4606,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4636,5377,4562,4533,4002,4376,4127,4393,4983,3998,5095,5038,3909,4733,3991,5034,4803,4768,4161,4485,4946,4541,5101,5208,5351,4880,5342,4527,4404,5193,4876,4883,5390,4969,5263,5266,5110,4954,4209,4590,2338,3940,5069,4905,4445,5128,4031,4459,3919,4177,2258,1910,3408,2250,3444,1880,1827,5336,2431,3342,3240,1821,3858,2425,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905])).
% 54.42/54.18 cnf(5446,plain,
% 54.42/54.18 (P10(a69,f2(a69),f11(a69,f9(a70,f11(a68,f9(a70,f8(a69,f2(a69),f2(a69))),f3(a68))),f2(a69)))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,529,509,1811,5289,251,309,419,445,452,5277,530,257,332,350,442,444,497,5209,493,5227,5232,5239,5281,5304,5339,5352,458,447,5327,5373,226,232,236,240,244,288,599,5280,394,208,600,296,321,405,463,5378,5387,495,212,314,379,449,5192,229,407,432,384,391,601,602,246,306,586,324,210,307,341,349,225,396,272,376,265,377,224,388,223,214,275,266,387,292,291,474,274,4463,4606,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4636,5377,5386,4562,4533,4002,4376,4127,4393,4983,3998,5095,5038,3909,4733,3991,5034,4803,4768,4161,4485,4946,4541,5101,5208,5351,4880,5342,4527,4404,5193,4876,4883,5390,4969,5263,5266,5110,4954,4209,4590,2338,3940,5069,4905,4445,5128,4031,4459,3919,4177,2258,1910,3534,3408,2250,3444,1880,1827,5336,2431,3342,3240,1821,3858,2425,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011])).
% 54.42/54.18 cnf(5447,plain,
% 54.42/54.18 (~E(x54471,f11(a69,f9(a70,f11(a68,f9(a70,f8(a69,x54471,x54471)),f3(a68))),x54471))),
% 54.42/54.18 inference(rename_variables,[],[4636])).
% 54.42/54.18 cnf(5448,plain,
% 54.42/54.18 (P9(a69,f2(a69),x54481)),
% 54.42/54.18 inference(rename_variables,[],[463])).
% 54.42/54.18 cnf(5457,plain,
% 54.42/54.18 (~P10(a68,x54571,x54571)),
% 54.42/54.18 inference(rename_variables,[],[1811])).
% 54.42/54.18 cnf(5464,plain,
% 54.42/54.18 (P9(a70,x54641,x54641)),
% 54.42/54.18 inference(rename_variables,[],[449])).
% 54.42/54.18 cnf(5466,plain,
% 54.42/54.18 (P9(a68,f53(f53(f10(a68),f26(a69,f3(a69))),f26(a69,f3(a69))),f26(a69,f3(a69)))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,529,509,1811,5289,5437,251,309,419,445,452,5277,530,257,332,350,442,444,497,5209,493,5227,5232,5239,5281,5304,5339,5352,458,447,5327,5373,226,232,236,240,244,288,599,5280,381,394,208,600,296,321,405,463,5378,5387,495,212,314,379,449,5192,5368,229,407,432,329,384,391,601,602,246,306,586,324,479,210,307,341,349,225,396,272,376,392,265,377,473,224,388,223,214,275,266,387,292,291,474,274,4463,4606,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4636,5377,5386,4562,4533,4170,4002,4376,4127,4393,4983,3998,5095,5038,3909,4733,3991,5034,4803,4768,4161,4485,4946,4541,5101,5208,5351,4880,5342,4527,4404,5193,4876,4883,5390,4969,5263,5266,5110,4954,4209,4590,2338,3940,5069,4905,4445,5128,4031,4459,3919,4177,2258,1910,3534,3408,2250,2412,3444,1880,1827,5336,2431,3342,3240,1821,3858,2425,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581])).
% 54.42/54.18 cnf(5467,plain,
% 54.42/54.18 (P9(a68,f2(a68),f26(a69,x54671))),
% 54.42/54.18 inference(rename_variables,[],[479])).
% 54.42/54.18 cnf(5469,plain,
% 54.42/54.18 (~P10(a70,f9(a70,f9(a70,f3(a70))),f9(a70,f3(a70)))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,529,509,1811,5289,5437,251,309,419,445,452,5277,530,257,332,350,442,444,497,5209,493,5227,5232,5239,5281,5304,5339,5352,458,447,5327,5373,226,232,236,240,244,288,599,5280,381,394,208,600,296,321,405,463,5378,5387,495,212,314,379,449,5192,5368,229,407,432,329,384,391,601,602,246,306,586,324,479,210,307,341,349,225,396,272,376,392,265,377,473,224,388,223,214,275,266,387,292,291,474,274,4463,4606,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4636,5377,5386,4562,4533,4170,4002,4376,4127,4393,4983,3998,5095,5038,3909,4733,3991,5034,4803,4768,4161,4485,4946,4541,5101,5208,5351,4880,5342,4527,4404,5193,4876,4883,5390,4969,5263,5266,5110,4954,4209,4590,2338,3940,5069,4905,4445,5128,4031,4459,3919,4177,2258,1910,3534,3408,2250,2412,3444,1880,1827,5336,2431,3342,3240,1821,3858,2425,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028])).
% 54.42/54.18 cnf(5471,plain,
% 54.42/54.18 (~E(f9(a70,f9(a70,f3(a70))),f9(a70,f3(a70)))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,529,509,1811,5289,5437,251,309,419,445,452,5277,530,257,332,350,442,444,497,5209,493,5227,5232,5239,5281,5304,5339,5352,458,447,5327,5373,226,232,236,240,244,288,599,5280,381,394,208,600,296,321,405,463,5378,5387,495,212,314,379,449,5192,5368,229,407,432,329,384,391,601,602,246,306,586,324,479,210,307,341,349,225,396,272,376,392,265,377,473,224,388,223,214,275,266,387,292,291,474,274,4463,4606,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4636,5377,5386,4562,4533,4170,4002,4376,4127,4393,4983,3998,5095,5038,3909,4733,3991,5034,4803,4768,4161,4485,4946,4541,5101,5208,5351,4880,5342,4527,4404,5193,4876,4883,5390,4969,5263,5266,5110,4954,4209,4590,2338,3940,5069,4905,4445,5128,4031,4459,3919,4177,2258,1910,3534,3408,2250,2412,3444,1880,1827,5336,2431,3342,3240,1821,3858,2425,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768])).
% 54.42/54.18 cnf(5473,plain,
% 54.42/54.18 (~P9(a68,f3(a68),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74)))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,529,509,1811,5289,5437,5457,251,309,419,445,452,5277,530,257,332,350,442,444,497,5209,493,5227,5232,5239,5281,5304,5339,5352,564,458,447,5327,5373,226,232,236,240,244,288,599,5280,381,394,208,600,296,321,405,463,5378,5387,495,212,314,379,449,5192,5368,229,407,432,329,384,391,601,602,246,306,586,324,479,210,307,341,349,225,396,272,376,392,265,377,473,224,388,223,214,275,266,387,292,291,474,274,4463,4606,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4636,5377,5386,4562,4533,4170,4002,4376,4127,4393,4983,3998,5095,5038,3909,4733,3991,5034,4803,4768,4161,4485,4946,4541,5101,5208,5351,4880,5342,4527,4404,5193,4876,4883,5390,4969,5263,5266,5110,4954,4209,4590,2338,3940,5069,4905,4445,5128,4031,4459,3919,4177,2258,1910,3534,3408,2250,2412,3444,1880,1827,5336,2431,3342,3240,1821,3858,2425,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237])).
% 54.42/54.18 cnf(5474,plain,
% 54.42/54.18 (~P10(a68,x54741,x54741)),
% 54.42/54.18 inference(rename_variables,[],[1811])).
% 54.42/54.18 cnf(5476,plain,
% 54.42/54.18 (~P9(a68,f7(a68,f11(a68,f9(a68,f2(a68)),f11(a68,f26(a69,f24(f3(a68))),f3(a68)))),f2(a68))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,529,509,1811,5289,5437,5457,251,309,419,445,452,5277,530,257,332,350,442,444,497,5209,493,5227,5232,5239,5281,5304,5339,5352,564,458,447,5327,5373,5391,226,232,236,240,244,288,599,5280,381,394,208,600,296,321,405,463,5378,5387,495,212,314,379,449,5192,5368,229,407,432,329,384,391,601,602,246,306,586,324,479,210,307,341,349,225,396,272,389,376,392,265,377,473,224,388,223,214,275,266,387,292,291,474,274,4463,4606,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4636,5377,5386,4562,4533,4170,4002,4376,4127,4393,4983,3998,5095,5038,3909,4733,3991,5034,4803,4768,4161,4485,4946,4541,5101,5208,5351,4880,5342,4527,4404,5193,4876,4883,5390,4969,5263,5266,5110,4954,4209,4590,2338,3940,5069,4905,4445,5128,4031,4459,3919,4177,2258,1910,3534,2810,3408,2250,2412,3444,1880,1827,5336,2431,3342,3240,1821,3858,2425,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468])).
% 54.42/54.18 cnf(5477,plain,
% 54.42/54.18 (P9(a68,x54771,x54771)),
% 54.42/54.18 inference(rename_variables,[],[447])).
% 54.42/54.18 cnf(5481,plain,
% 54.42/54.18 (P9(a69,x54811,f11(a69,x54811,x54812))),
% 54.42/54.18 inference(rename_variables,[],[496])).
% 54.42/54.18 cnf(5488,plain,
% 54.42/54.18 (P9(a69,x54881,f8(a69,f11(a69,f4(a1,a73),x54881),f8(a69,f4(a1,a73),f11(a69,a78,f3(a69)))))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,529,509,1811,5289,5437,5457,251,309,419,445,452,5277,530,257,332,350,442,444,497,5209,493,5227,5232,5239,5281,5304,5339,5352,564,458,447,5327,5373,5391,226,232,236,240,244,288,599,5280,381,394,208,600,496,296,321,405,463,5378,5387,5448,495,212,314,379,449,5192,5368,229,407,432,329,384,391,601,602,246,306,390,586,324,479,210,307,341,349,225,396,272,389,376,392,265,377,473,224,388,223,214,275,266,387,292,504,291,474,274,4463,4606,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4636,5377,5386,4562,4533,4170,4002,4376,4127,4393,4983,3998,5095,5038,3909,4733,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4541,5101,5208,5351,4880,5342,4527,4404,5193,4876,4883,5390,4969,5263,5266,5110,4954,4209,4590,2338,3940,5069,4905,4445,5128,4031,4459,3919,4177,2258,1910,3534,2810,3408,2250,2412,3444,1880,1827,5336,2790,2431,3342,3240,1821,3858,2425,5272,1975,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560])).
% 54.42/54.18 cnf(5489,plain,
% 54.42/54.18 (P9(a69,f8(a69,x54891,x54892),x54891)),
% 54.42/54.18 inference(rename_variables,[],[497])).
% 54.42/54.18 cnf(5493,plain,
% 54.42/54.18 (~P9(a68,a64,f2(a68))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,529,509,1811,5289,5437,5457,251,309,419,445,452,5277,530,257,332,350,442,444,497,5209,493,5227,5232,5239,5281,5304,5339,5352,564,458,447,5327,5373,5391,226,232,236,240,244,288,599,5280,381,394,208,600,496,296,321,405,463,5378,5387,5448,495,212,314,379,449,5192,5368,229,407,432,329,384,391,601,602,246,306,390,586,324,479,210,307,341,349,225,396,272,389,376,392,265,377,473,224,388,223,214,275,266,387,292,504,291,474,274,4463,4606,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4636,5377,5386,4562,4533,4170,4002,4376,4127,4393,4983,3998,5095,5038,3909,4733,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4541,5101,5208,5351,4880,5342,4527,4404,5193,4876,4883,5390,4969,5263,5266,5110,4954,4209,4590,2338,3940,5069,4905,4620,4445,5128,4031,4459,3919,4177,2258,1910,3534,2810,3408,2250,2412,3444,1880,1827,5336,2790,2431,3342,3240,1821,3858,2425,5272,1975,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096])).
% 54.42/54.18 cnf(5495,plain,
% 54.42/54.18 (P9(a69,x54951,f11(a69,x54952,f8(a69,f11(a69,x54951,x54953),x54953)))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,529,509,1811,5289,5437,5457,251,309,419,445,452,5277,530,257,332,350,442,444,497,5209,493,5227,5232,5239,5281,5304,5339,5352,564,458,447,5327,5373,5391,226,232,236,240,244,288,599,5280,381,394,208,600,496,296,321,405,463,5378,5387,5448,495,212,314,379,449,5192,5368,229,407,432,329,384,391,601,602,246,306,390,586,324,479,210,307,341,349,225,396,272,389,376,392,265,377,473,224,388,223,214,275,266,387,292,504,291,474,274,4463,4606,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4636,5377,5386,4562,4533,4170,4002,4376,4127,4393,4983,3998,5095,5038,3909,4733,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4541,5101,5208,5351,4880,5342,4527,4404,5193,4876,4883,5390,4969,5263,5266,5110,4954,4209,4590,2338,3940,5069,4905,4620,4445,5128,4031,4459,3919,4177,2258,1910,3534,2810,3408,2250,2412,3444,1880,2973,1827,5336,2790,2431,3342,3240,1821,3858,2425,5272,1975,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604])).
% 54.42/54.18 cnf(5501,plain,
% 54.42/54.18 (~P10(a68,f26(a69,x55011),f2(a68))),
% 54.42/54.18 inference(rename_variables,[],[598])).
% 54.42/54.18 cnf(5503,plain,
% 54.42/54.18 (~P9(a68,f11(a68,f26(a69,f4(a1,f11(a68,f2(f72(a1)),f3(a68)))),f26(a69,f4(a1,f11(a68,f2(f72(a1)),f3(a68))))),f2(a68))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,529,509,1811,5289,5437,5457,5474,251,309,419,445,452,5277,530,257,332,350,442,444,497,5209,493,5227,5232,5239,5281,5304,5339,5352,564,458,447,5327,5373,5391,226,232,236,240,244,288,599,5280,381,394,208,600,496,296,321,405,463,5378,5387,5448,495,212,314,379,449,5192,5368,229,407,432,329,384,391,601,602,246,306,390,586,324,479,210,307,341,349,225,396,272,389,376,598,392,265,377,473,224,388,223,214,275,266,387,292,504,291,474,274,4463,4606,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4636,5377,5386,4562,4533,4170,4002,4376,4127,4867,4393,4983,3998,5095,5038,3909,4733,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4541,5101,5208,5351,4880,5342,4527,4404,5193,4876,4883,5390,4969,5263,5266,5110,4954,4209,4590,2338,3940,5069,4905,4620,4445,5128,4031,4459,3919,4177,2258,1910,3534,2810,3408,2250,2412,2063,3444,1880,2973,1827,5336,2790,2431,3342,3240,1821,3858,2467,2425,5272,1975,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008])).
% 54.42/54.18 cnf(5508,plain,
% 54.42/54.18 (~P10(a69,f53(f53(f10(a69),f53(f53(f10(a69),f2(a69)),f2(a69))),f11(a69,x55081,x55082)),f53(f53(f10(a69),f53(f53(f10(a69),f2(a69)),f2(a69))),x55081))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,529,509,1811,5289,5437,5457,5474,251,309,419,445,452,5277,530,257,332,350,442,444,497,5209,493,5227,5232,5239,5281,5304,5339,5352,5376,564,458,447,5327,5373,5391,226,232,236,240,244,288,599,5280,381,394,208,600,496,296,321,405,463,5378,5387,5448,495,212,314,379,449,5192,5368,229,407,432,329,384,391,601,602,246,306,390,586,324,479,210,307,341,349,225,396,272,389,376,598,392,265,377,473,224,388,223,214,275,266,387,292,504,291,474,274,4463,4606,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4636,5377,5386,4562,4533,4170,4002,4376,4127,4867,4393,4983,3998,5095,5038,3909,4733,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4541,5101,5208,5351,4880,5342,4527,4404,5193,4876,4883,5390,4969,5263,5266,5110,4954,4209,4590,2296,2338,3940,5069,4905,4620,4445,5128,4031,4459,3919,4177,2258,1910,3534,2810,3408,2250,2412,2063,3444,1880,2973,1827,5336,2790,2431,3342,3240,1821,3858,2467,2425,5272,1975,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681])).
% 54.42/54.18 cnf(5509,plain,
% 54.42/54.18 (P9(a69,x55091,f53(f53(f10(a69),x55091),x55091))),
% 54.42/54.18 inference(rename_variables,[],[493])).
% 54.42/54.18 cnf(5512,plain,
% 54.42/54.18 (~P10(a68,f11(a68,f7(a68,x55121),f3(a68)),x55121)),
% 54.42/54.18 inference(rename_variables,[],[602])).
% 54.42/54.18 cnf(5518,plain,
% 54.42/54.18 (P9(f72(a68),f2(f72(a68)),f53(f53(f10(f72(a68)),f9(f72(a68),f7(f72(a68),f2(f72(a68))))),f9(f72(a68),f7(f72(a68),f2(f72(a68))))))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,529,509,1811,5289,5437,5457,5474,251,309,419,445,452,5277,530,257,332,350,442,444,497,5209,493,5227,5232,5239,5281,5304,5339,5352,5376,564,458,447,5327,5373,5391,226,232,236,240,244,288,599,5280,381,394,208,600,496,296,321,405,463,5378,5387,5448,495,212,314,379,449,5192,5368,5464,229,407,432,329,384,391,601,602,246,306,390,586,324,479,210,307,341,349,225,396,272,389,376,598,392,265,377,403,473,224,388,223,214,275,266,387,292,504,291,474,274,4463,4606,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4636,5377,5386,4562,4533,4170,4002,4376,4127,4867,4393,4983,3998,5095,5038,3909,4733,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4527,4404,5193,4876,4883,5390,4969,5263,5266,5110,4954,4209,4590,2296,2338,3940,5069,4905,4620,4445,5128,4031,4459,3919,4177,2258,1910,3534,2810,3408,2250,2412,2063,3444,1880,2973,1827,5336,2790,2431,3342,3240,1821,3858,2467,2425,5272,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446])).
% 54.42/54.18 cnf(5522,plain,
% 54.42/54.18 (~P10(a70,f8(a70,x55221,x55221),f2(a70))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,529,509,1811,5289,5437,5457,5474,251,309,419,445,452,5277,530,257,332,350,442,444,497,5209,493,5227,5232,5239,5281,5304,5339,5352,5376,564,458,447,5327,5373,5391,226,232,236,240,244,288,599,5280,381,394,208,600,496,296,321,405,463,5378,5387,5448,495,212,314,379,449,5192,5368,5464,229,407,432,329,384,391,601,602,246,306,390,586,324,479,210,307,341,349,225,396,272,389,376,598,392,265,377,403,473,224,388,223,214,275,266,387,292,504,291,474,274,4463,4606,4267,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4636,5377,5386,4562,4533,4170,4002,4376,4127,4867,4393,4983,3998,5095,5038,3909,4733,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4527,4404,5193,4876,4883,5390,4969,5263,5266,5110,4954,4209,4590,2296,2338,3940,5069,4905,4620,4445,5128,4031,4459,3919,4177,2258,1910,3534,2810,3408,2250,2412,2063,3444,1880,2973,1827,5336,2790,2431,3342,3240,1821,3858,2467,2425,5272,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447])).
% 54.42/54.18 cnf(5524,plain,
% 54.42/54.18 (~P10(a68,f2(a68),f25(a68,f25(a68,f9(a68,f11(a68,f26(a69,f24(f9(a68,f2(a68)))),f3(a68))))))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,529,509,1811,5289,5437,5457,5474,251,309,419,445,452,5277,530,257,332,350,442,444,497,5209,493,5227,5232,5239,5281,5304,5339,5352,5376,564,458,447,5327,5373,5391,226,232,236,240,244,288,599,5280,381,394,208,600,496,296,321,405,463,5378,5387,5448,495,212,314,379,449,5192,5368,5464,229,407,432,329,384,391,601,602,246,306,390,586,324,479,210,307,341,349,225,396,272,389,376,598,392,265,377,403,473,224,388,223,214,275,266,387,292,504,291,474,274,4463,4606,4267,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4636,5377,5386,4562,4533,4170,4002,4376,4127,4867,4393,4983,3998,5095,5038,3909,4733,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4527,4404,5193,4876,4883,5390,4969,5263,5266,5110,4954,4209,4590,2296,2338,3940,5069,4905,4620,4445,5128,4031,4459,3919,4177,2258,1910,3534,2810,3408,2250,2412,2063,3444,1880,2973,1827,5336,2790,2431,3342,3240,1821,3858,2467,2425,5272,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180])).
% 54.42/54.18 cnf(5528,plain,
% 54.42/54.18 (~P10(a68,f11(a68,f7(a68,f11(a68,f53(f53(f10(a68),f8(a68,x55281,x55282)),x55283),f11(a68,f53(f53(f10(a68),f8(a68,x55282,x55281)),x55283),x55284))),f3(a68)),x55284)),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,529,509,1811,5289,5437,5457,5474,251,309,419,445,452,5277,530,257,332,350,442,444,497,5209,493,5227,5232,5239,5281,5304,5339,5352,5376,564,458,447,5327,5373,5391,226,232,236,240,244,288,599,5280,381,394,208,600,496,296,321,405,463,5378,5387,5448,495,212,314,379,449,5192,5368,5464,229,407,432,329,384,391,601,602,246,306,390,586,324,479,210,307,341,349,378,225,396,272,389,376,598,392,265,377,403,473,224,388,223,214,275,266,387,292,504,291,474,274,4463,4606,4267,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4636,5377,5386,4562,4533,4170,4002,4376,4127,4867,4393,4983,3998,5095,5038,3909,4733,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4697,4527,4404,5193,4876,4883,5390,4969,5263,5266,5110,4954,4209,4590,2296,2338,3940,5069,4905,4620,4445,5128,4031,4459,3919,4177,2258,1910,3534,2810,3408,2250,2412,2063,3444,1880,2973,1827,5336,2790,2431,3342,3240,1821,3858,2467,2425,5272,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440])).
% 54.42/54.18 cnf(5529,plain,
% 54.42/54.18 (~P10(a68,f11(a68,f53(f53(f10(a68),f8(a68,x55291,x55292)),x55293),f11(a68,f7(a68,f11(a68,f53(f53(f10(a68),f8(a68,x55292,x55291)),x55293),x55294)),f3(a68))),x55294)),
% 54.42/54.18 inference(rename_variables,[],[4697])).
% 54.42/54.18 cnf(5533,plain,
% 54.42/54.18 (P9(f72(a68),f2(f72(a68)),f53(f53(f10(f72(a68)),f7(f72(a68),f2(f72(a68)))),f7(f72(a68),f2(f72(a68)))))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,529,509,1811,5289,5437,5457,5474,251,309,419,445,452,5277,530,257,332,350,442,444,497,5209,493,5227,5232,5239,5281,5304,5339,5352,5376,564,458,447,5327,5373,5391,226,232,236,240,244,288,599,5280,381,394,208,600,496,296,321,405,463,5378,5387,5448,495,212,314,379,449,5192,5368,5464,229,407,432,329,384,391,601,602,246,306,390,586,324,479,210,307,341,349,378,225,396,272,389,376,598,392,265,377,403,473,224,388,223,214,275,266,387,292,504,291,474,274,4463,4606,4267,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4636,5377,5386,4562,4533,4170,4002,4376,4127,4867,4393,4983,3998,5095,5038,3909,4733,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4697,4527,4404,5193,4876,4883,5390,4969,5263,5266,5110,4954,4209,4590,2296,2338,2356,3940,5069,4905,4620,4445,5128,4031,4459,3919,4177,2258,1910,3534,2810,3408,2250,2412,2063,3444,1880,2973,1827,5336,2790,2431,3342,3240,1821,3858,2467,2425,5272,3236,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450])).
% 54.42/54.18 cnf(5537,plain,
% 54.42/54.18 (P9(a68,f2(a68),f27(a1,x55371))),
% 54.42/54.18 inference(rename_variables,[],[2431])).
% 54.42/54.18 cnf(5539,plain,
% 54.42/54.18 (~P9(a69,f13(f26(a69,f4(a1,f11(a68,f2(f72(a1)),f3(a68))))),f2(a69))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,529,509,1811,5289,5437,5457,5474,251,309,419,445,452,5277,530,257,332,350,442,444,497,5209,493,5227,5232,5239,5281,5304,5339,5352,5376,564,458,447,5327,5373,5391,226,232,236,240,244,288,599,5280,381,394,208,600,496,296,321,405,463,5378,5387,5448,495,212,314,379,449,5192,5368,5464,229,407,432,329,384,391,601,602,246,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,598,392,265,377,403,473,224,388,223,214,275,266,387,292,504,291,474,274,4463,4606,4267,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4636,5377,5386,4562,4533,4170,4002,4376,4127,4867,4393,4983,3998,5095,5038,3909,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4697,4527,4404,5193,4876,4883,5390,4969,5263,5266,5110,4954,4209,4590,2296,2338,2356,3940,5069,4905,4620,4445,5128,4031,4459,3919,4177,2258,1910,3534,2810,3408,2250,2412,2063,3444,1880,2973,1827,5336,2790,2431,5284,3342,3240,1821,3858,2467,2425,5272,3236,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291])).
% 54.42/54.18 cnf(5540,plain,
% 54.42/54.18 (P9(a68,f2(a68),f26(a69,x55401))),
% 54.42/54.18 inference(rename_variables,[],[479])).
% 54.42/54.18 cnf(5547,plain,
% 54.42/54.18 (P9(a69,f8(a69,x55471,x55472),x55471)),
% 54.42/54.18 inference(rename_variables,[],[497])).
% 54.42/54.18 cnf(5550,plain,
% 54.42/54.18 (P9(a68,f27(a1,x55501),f11(a68,f27(a1,f11(a1,x55501,x55502)),f27(a1,x55502)))),
% 54.42/54.18 inference(rename_variables,[],[552])).
% 54.42/54.18 cnf(5553,plain,
% 54.42/54.18 (~P9(a69,f11(a69,f53(f53(f10(a69),f8(a69,x55531,x55531)),x55532),f11(a69,f4(a1,a73),f11(a69,f53(f53(f10(a69),x55531),x55532),x55533))),x55533)),
% 54.42/54.18 inference(rename_variables,[],[4682])).
% 54.42/54.18 cnf(5554,plain,
% 54.42/54.18 (P9(a69,f8(a69,x55541,x55542),x55541)),
% 54.42/54.18 inference(rename_variables,[],[497])).
% 54.42/54.18 cnf(5556,plain,
% 54.42/54.18 (P13(f72(a1),f53(f53(f20(f72(a1)),f53(f53(f20(f72(a1)),f17(a1,f9(a1,x55561),f17(a1,f3(a1),f2(f72(a1))))),f18(a1,x55561,x55562))),x55563),f11(f72(a1),f53(f53(f20(f72(a1)),x55562),x55563),f53(f53(f20(f72(a1)),x55562),x55563)))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,529,509,1811,5289,5437,5457,5474,251,309,419,445,452,5277,530,257,332,350,442,444,552,497,5209,5489,5547,493,5227,5232,5239,5281,5304,5339,5352,5376,564,458,447,5327,5373,5391,226,232,236,240,244,288,599,5280,381,394,208,600,496,296,321,405,463,5378,5387,5448,495,212,314,379,449,5192,5368,5464,229,407,432,329,384,391,601,602,246,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,598,392,265,377,403,473,224,388,223,214,275,266,387,292,504,291,474,274,4463,4606,4267,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4636,5377,5386,4562,4533,4170,4002,4376,4127,4867,4393,4983,4108,3998,5095,5038,3909,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4682,4697,4527,4404,5193,4876,4883,5390,4969,5263,5266,5110,4954,4209,4590,2296,2338,2356,3940,5069,4905,4620,3633,4445,5128,4031,4459,3919,4177,2258,1910,3534,2810,3408,2250,2412,2063,3444,1880,2973,1827,5336,2790,2431,5284,3342,3240,1821,3858,2467,2425,5272,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412])).
% 54.42/54.18 cnf(5558,plain,
% 54.42/54.18 (P10(a68,x55581,f26(a69,f53(f53(f10(a69),f11(a69,f24(x55581),f3(a69))),f11(a69,f24(x55581),f3(a69)))))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,529,509,1811,5289,5437,5457,5474,251,309,419,445,452,5277,530,257,332,350,442,444,552,497,5209,5489,5547,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,564,458,447,5327,5373,5391,226,232,236,240,244,288,599,5280,381,394,208,600,496,296,321,405,463,5378,5387,5448,495,212,314,379,449,5192,5368,5464,229,407,432,329,384,391,601,602,246,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,598,392,265,377,403,473,224,388,223,214,275,266,387,292,504,291,474,274,4463,4606,4267,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4636,5377,5386,4562,4533,4170,4002,4376,4127,4867,4393,4983,4108,3998,5095,5038,3909,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4682,4697,4527,4404,5193,4876,4883,5390,4969,5263,5266,5110,4954,4209,4590,2296,2338,2356,3940,5069,4905,4620,3633,4445,5128,4031,4459,3919,4177,2258,1910,3534,2810,3408,2250,2412,2063,3444,1880,2973,1827,5336,2790,2431,5284,3342,3240,1821,3858,2467,2425,5272,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429])).
% 54.42/54.18 cnf(5559,plain,
% 54.42/54.18 (P9(a69,x55591,f53(f53(f10(a69),x55591),x55591))),
% 54.42/54.18 inference(rename_variables,[],[493])).
% 54.42/54.18 cnf(5562,plain,
% 54.42/54.18 (~P10(a69,x55621,f2(a69))),
% 54.42/54.18 inference(rename_variables,[],[592])).
% 54.42/54.18 cnf(5564,plain,
% 54.42/54.18 (~E(f11(a70,x55641,f11(a70,f11(a70,f3(a70),x55642),x55642)),x55641)),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,529,509,1811,5289,5437,5457,5474,251,309,419,445,452,5277,530,257,332,350,442,444,552,497,5209,5489,5547,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,564,458,447,5327,5373,5391,226,232,236,240,244,288,599,5280,381,394,208,600,496,296,321,405,463,5378,5387,5448,592,495,212,314,379,449,5192,5368,5464,229,407,432,329,384,391,601,602,246,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,598,392,265,377,403,473,224,388,223,214,275,266,387,292,504,291,474,274,4463,4606,4267,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4636,5377,5386,4562,4533,4170,4002,4376,4127,4867,4393,4983,4108,3998,5095,5038,3909,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4682,4697,4527,4404,5193,4876,4883,5390,4969,5263,5266,5110,4954,4209,4590,2296,2338,2356,3940,5069,4905,4620,3633,4445,5128,4031,4459,3919,4177,2258,1910,3534,2810,3408,2250,2412,2063,3444,1880,2973,1827,5336,2790,2431,5284,3342,3240,1821,3858,2467,2425,5272,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911])).
% 54.42/54.18 cnf(5566,plain,
% 54.42/54.18 (~P9(a70,f7(a70,f2(a70)),f9(a70,f3(a70)))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,529,509,1811,5289,5437,5457,5474,251,309,419,445,452,5277,530,257,332,350,442,444,552,497,5209,5489,5547,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,564,458,447,5327,5373,5391,226,232,236,240,244,288,599,5280,381,394,208,600,496,296,321,405,463,5378,5387,5448,592,495,212,314,379,449,5192,5368,5464,229,407,432,329,384,391,601,602,246,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,598,392,265,377,403,473,224,388,223,214,275,266,387,292,504,291,474,274,4463,4606,4267,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4636,5377,5386,4894,4562,4533,4170,4002,4376,4127,4867,4393,4983,4108,3998,5095,5038,3909,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4682,4697,4527,4404,5193,4876,4883,5390,4969,5263,5266,5110,4954,4209,4590,2296,2338,2356,3940,5069,4905,4620,3633,4445,5128,4031,4459,3919,4177,2258,1910,3534,2810,3408,2250,2412,2063,3444,1880,2973,1827,5336,2790,2431,5284,3342,3240,1821,3858,2467,2425,5272,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200])).
% 54.42/54.18 cnf(5571,plain,
% 54.42/54.18 (P9(a69,x55711,f11(a69,x55712,x55711))),
% 54.42/54.18 inference(rename_variables,[],[495])).
% 54.42/54.18 cnf(5573,plain,
% 54.42/54.18 (~P10(a70,f11(a70,f53(f53(f10(a70),x55731),x55732),x55733),f11(a70,f53(f53(f10(a70),x55734),x55732),f11(a70,f53(f53(f10(a70),f8(a70,x55735,x55735)),f9(a70,f3(a70))),f11(a70,f53(f53(f10(a70),f8(a70,x55731,x55734)),x55732),x55733))))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,529,509,1811,5289,5437,5457,5474,251,309,419,445,452,5277,530,257,332,350,442,444,552,497,5209,5489,5547,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,564,458,447,5327,5373,5391,226,232,236,240,244,288,599,5280,381,394,208,600,496,296,321,405,463,5378,5387,5448,592,495,5357,212,314,379,449,5192,5368,5464,229,407,432,329,384,391,601,602,246,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,392,265,377,403,473,224,388,223,214,275,266,387,292,504,291,474,274,4463,4606,4267,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,4894,4562,4533,4170,4002,4376,4127,4867,4393,4983,4108,3998,5095,5038,3909,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4682,4697,4527,4404,5193,4876,4883,5390,4969,5263,5266,5110,4954,4209,4590,2296,2338,2356,3940,5069,4905,4620,3633,4445,5128,4031,4459,3919,4177,2258,1910,3534,2810,3408,2250,2412,2063,3444,1880,2973,1827,5336,2790,2431,5284,3342,3240,1821,3858,2467,2425,5272,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787])).
% 54.42/54.18 cnf(5574,plain,
% 54.42/54.18 (~P10(a70,x55741,f11(a70,f53(f53(f10(a70),f8(a70,x55742,x55742)),x55743),x55741))),
% 54.42/54.18 inference(rename_variables,[],[4699])).
% 54.42/54.18 cnf(5577,plain,
% 54.42/54.18 (~E(f11(a68,x55771,f2(a1)),f11(a68,x55771,a76))),
% 54.42/54.18 inference(rename_variables,[],[4892])).
% 54.42/54.18 cnf(5579,plain,
% 54.42/54.18 (~E(f11(a68,f53(f53(f10(a68),x55791),x55792),x55793),f11(a68,f53(f53(f10(a68),x55794),x55792),f11(a69,f9(a70,f11(a68,f9(a70,f8(a69,f11(a68,f53(f53(f10(a68),f8(a68,x55791,x55794)),x55792),x55793),f11(a68,f53(f53(f10(a68),f8(a68,x55791,x55794)),x55792),x55793))),f3(a68))),f11(a68,f53(f53(f10(a68),f8(a68,x55791,x55794)),x55792),x55793))))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,529,509,1811,5289,5437,5457,5474,251,309,419,445,452,5277,530,257,332,350,442,444,552,497,5209,5489,5547,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,564,458,447,5327,5373,5391,226,232,236,240,244,270,288,599,5280,381,394,208,600,496,296,321,405,463,5378,5387,5448,592,495,5357,212,314,379,449,5192,5368,5464,229,407,432,329,384,391,601,602,246,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,392,265,377,403,473,224,388,223,214,275,266,387,292,504,291,474,274,4463,4606,4267,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4376,4127,4867,4393,4983,4108,3998,5095,5038,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4682,4697,4527,4404,5193,4876,4883,5390,4969,5263,5266,5110,4954,4209,4590,2296,2338,2356,3940,5069,4905,4620,3633,4445,5128,4031,4459,3919,4177,2258,1910,3534,2810,3408,2250,2412,2063,3444,1880,2973,1827,5336,2790,2431,5284,3342,3240,1821,3858,2467,2425,5272,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752])).
% 54.42/54.18 cnf(5583,plain,
% 54.42/54.18 (~P10(a69,x55831,f11(a69,f2(a69),f8(a69,x55831,x55832)))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,580,460,553,529,509,1811,5289,5437,5457,5474,251,309,419,445,452,5277,530,257,332,350,442,444,552,497,5209,5489,5547,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,564,458,447,5327,5373,5391,226,232,236,240,244,270,288,599,5280,381,394,208,600,496,296,321,405,463,5378,5387,5448,592,495,5357,212,314,379,449,5192,5368,5464,229,407,432,329,384,391,601,602,246,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,392,265,377,403,473,224,388,223,214,275,266,387,292,504,291,474,274,4463,4606,4267,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4376,4127,4867,4393,4983,4108,3998,5095,5038,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4682,4697,4527,4404,5193,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4905,4620,3633,4445,4920,5128,4031,4459,3919,4177,2258,1910,3534,2810,3408,2250,2412,2063,3444,1880,2973,1827,5336,2790,2431,5284,3342,3240,1821,3858,2467,2425,5272,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258])).
% 54.42/54.18 cnf(5584,plain,
% 54.42/54.18 (~P10(a69,x55841,f11(a69,f2(a69),x55841))),
% 54.42/54.18 inference(rename_variables,[],[4883])).
% 54.42/54.18 cnf(5588,plain,
% 54.42/54.18 (~E(f11(a69,x55881,f4(a1,a73)),f2(a69))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,251,309,419,445,452,5277,530,257,332,350,442,444,552,497,5209,5489,5547,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,564,458,447,5327,5373,5391,226,232,236,240,244,270,288,599,5280,381,394,208,600,496,296,321,405,463,5378,5387,5448,592,495,5357,212,314,379,449,5192,5368,5464,229,407,432,329,384,391,601,602,246,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,392,265,377,403,473,224,388,223,214,275,266,387,292,504,291,474,274,4463,4606,4267,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4376,4127,4867,4393,4983,4108,3998,5095,5038,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4682,4697,4527,4404,5193,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4905,4620,3633,4445,4920,5128,4031,4459,3919,4177,2258,1910,3534,2810,3408,2250,2412,2063,3444,1880,2973,1827,5336,2790,2431,5284,3342,3240,1821,3858,2467,2425,5272,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872])).
% 54.42/54.18 cnf(5590,plain,
% 54.42/54.18 (~E(f11(a69,x55901,f4(a1,a73)),x55901)),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,251,309,419,445,452,5277,530,257,332,350,442,444,552,497,5209,5489,5547,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,564,458,447,5327,5373,5391,226,232,236,240,244,270,288,599,5280,381,394,208,600,496,296,321,405,463,5378,5387,5448,592,495,5357,212,314,379,449,5192,5368,5464,229,407,432,329,384,391,601,602,246,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,392,265,377,403,473,224,388,223,214,275,266,387,292,504,291,474,274,4463,4606,4267,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4376,4127,4867,4393,4983,4108,3998,5095,5038,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4682,4697,4527,4404,5193,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4905,4620,3633,4445,4920,5128,4031,4459,3919,4177,2258,1910,3534,2810,3408,2250,2412,2063,3444,1880,2973,1827,5336,2790,2431,5284,3342,3240,1821,3858,2467,2425,5272,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856])).
% 54.42/54.18 cnf(5594,plain,
% 54.42/54.18 (~P10(a69,x55941,f8(a69,x55942,x55942))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,251,309,419,445,452,5277,530,257,332,350,442,444,552,560,497,5209,5489,5547,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,564,458,447,5327,5373,5391,226,232,236,240,244,270,288,599,5280,5320,381,394,208,600,496,296,321,405,463,5378,5387,5448,592,495,5357,212,314,379,449,5192,5368,5464,229,407,432,329,384,391,601,602,246,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,392,265,377,403,473,224,388,223,214,275,266,387,292,504,291,474,274,4463,4606,4267,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4376,4127,4867,4393,4983,4108,3998,5095,5038,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4682,4697,4527,4404,5193,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4905,4620,3633,4445,4920,5128,4031,4459,3919,4177,2258,1910,3534,2810,3408,2250,2412,2063,3444,1880,2973,1827,5336,2790,2431,5284,3342,3240,1821,3858,2467,2425,5272,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498])).
% 54.42/54.18 cnf(5597,plain,
% 54.42/54.18 (P9(a69,x55971,f53(f53(f10(a69),x55971),x55971))),
% 54.42/54.18 inference(rename_variables,[],[493])).
% 54.42/54.18 cnf(5599,plain,
% 54.42/54.18 (P9(a68,f26(a69,f8(a69,f24(f2(a68)),x55991)),f2(a68))),
% 54.42/54.18 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,251,309,419,445,452,5277,530,257,332,350,442,444,552,560,497,5209,5489,5547,5554,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,564,458,447,5327,5373,5391,5477,226,232,236,240,244,270,288,599,5280,5320,381,394,208,600,496,296,321,405,463,5378,5387,5448,592,495,5357,212,314,379,449,5192,5368,5464,229,407,432,329,384,391,601,602,246,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,392,265,377,403,473,224,388,223,214,275,266,387,292,504,291,474,274,4463,4606,4267,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4376,4127,4867,4393,4983,4108,3998,5095,5038,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4682,4697,4527,4404,5193,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4905,4620,3633,4445,4920,5128,4031,4459,3919,4177,2258,1910,3534,2810,3408,2250,2412,2063,3444,1880,2973,1827,5336,2790,2431,5284,3342,3240,1821,3858,2467,2425,5272,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292])).
% 54.42/54.18 cnf(5600,plain,
% 54.42/54.18 (P9(a69,f8(a69,x56001,x56002),x56001)),
% 54.42/54.18 inference(rename_variables,[],[497])).
% 54.42/54.18 cnf(5601,plain,
% 54.42/54.18 (P9(a68,x56011,x56011)),
% 54.42/54.18 inference(rename_variables,[],[447])).
% 54.42/54.18 cnf(5605,plain,
% 54.42/54.18 (~P9(a69,f11(a69,f4(a1,a73),f11(a69,f53(f53(f10(a69),x56051),x56052),f11(a69,f53(f53(f10(a69),f8(a69,x56051,x56051)),x56052),x56053))),x56053)),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,251,309,419,445,452,5277,530,257,332,350,442,444,552,560,497,5209,5489,5547,5554,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,564,458,447,5327,5373,5391,5477,226,232,236,240,244,270,288,599,5280,5320,381,382,394,208,600,496,296,321,405,463,5378,5387,5448,592,495,5357,212,314,379,449,5192,5368,5464,229,407,432,329,384,391,601,602,246,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,392,265,377,403,473,224,388,223,214,275,266,387,292,504,291,474,274,4463,4606,4267,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4376,4127,4867,4393,4983,4108,3998,5095,5038,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4682,5553,4697,4527,4404,5193,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4905,4620,3633,4445,4920,5128,4031,4459,3919,4177,2258,1910,3534,2810,3408,2250,2412,2063,3444,1880,2973,1827,5336,2790,2431,5284,3342,3240,1821,3858,2467,2425,5272,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437])).
% 54.42/54.19 cnf(5606,plain,
% 54.42/54.19 (~P9(a69,f11(a69,f53(f53(f10(a69),f8(a69,x56061,x56061)),x56062),f11(a69,f4(a1,a73),f11(a69,f53(f53(f10(a69),x56061),x56062),x56063))),x56063)),
% 54.42/54.19 inference(rename_variables,[],[4682])).
% 54.42/54.19 cnf(5614,plain,
% 54.42/54.19 (~P9(a69,f11(a69,f53(f53(f10(a69),f8(a69,f8(a69,x56141,x56141),f8(a69,f8(a69,x56141,x56141),x56142))),x56143),f11(a69,f4(a1,a73),f11(a69,f53(f53(f10(a69),x56141),x56143),f11(a69,f53(f53(f10(a69),f8(a69,f8(a69,x56141,x56141),x56142)),x56143),x56144)))),x56144)),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,251,309,419,445,452,5277,530,257,332,350,442,444,467,552,560,497,5209,5489,5547,5554,5600,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,564,458,447,5327,5373,5391,5477,226,232,236,240,244,270,288,599,5280,5320,381,382,394,208,600,496,296,321,405,463,5378,5387,5448,592,495,5357,212,314,379,449,5192,5368,5464,229,407,432,329,384,391,601,602,246,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,392,265,377,403,473,224,388,223,214,275,266,387,292,504,291,474,274,4463,4606,4267,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4376,4127,4867,4393,4983,4108,3998,5095,5038,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,4527,4404,5193,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4905,4620,3633,4445,4920,5128,4031,4459,3919,4177,2334,2258,1910,3534,2810,3408,2250,2412,2063,3444,1880,2973,1827,5336,2790,2431,5284,3342,3240,1821,3858,2467,2425,5272,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791])).
% 54.42/54.19 cnf(5616,plain,
% 54.42/54.19 (P9(a69,f8(a69,x56161,x56162),x56161)),
% 54.42/54.19 inference(rename_variables,[],[497])).
% 54.42/54.19 cnf(5619,plain,
% 54.42/54.19 (P9(a69,x56191,f11(a69,x56192,x56191))),
% 54.42/54.19 inference(rename_variables,[],[495])).
% 54.42/54.19 cnf(5620,plain,
% 54.42/54.19 (P9(a69,f11(a69,f53(f53(f10(a69),x56201),x56202),x56203),f11(a69,x56204,f11(a69,f53(f53(f10(a69),x56201),x56202),f11(a69,f11(a69,f53(f53(f10(a69),x56201),x56202),x56203),x56205))))),
% 54.42/54.19 inference(rename_variables,[],[2141])).
% 54.42/54.19 cnf(5623,plain,
% 54.42/54.19 (~P9(a70,f11(a70,x56231,f3(a70)),x56231)),
% 54.42/54.19 inference(rename_variables,[],[4404])).
% 54.42/54.19 cnf(5625,plain,
% 54.42/54.19 (~P9(a70,f2(a70),f11(a70,f53(f53(f10(a70),f3(a70)),f53(f53(f10(a70),f3(a70)),f53(f53(f10(a70),f3(a70)),f9(a70,f3(a70))))),f2(a70)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,251,309,419,445,452,5277,530,257,332,350,442,444,467,552,560,497,5209,5489,5547,5554,5600,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,564,458,447,5327,5373,5391,5477,226,232,236,240,244,270,288,599,5280,5320,381,382,394,208,600,496,296,321,405,463,5378,5387,5448,592,495,5357,5571,212,314,379,449,5192,5368,5464,229,407,432,329,384,391,601,602,246,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,392,265,377,403,473,224,388,223,214,275,266,387,292,504,291,474,274,4463,4606,4267,5116,4514,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4376,4127,4867,4393,4983,4108,3998,5095,5038,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,4527,4404,5193,5383,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4748,4905,4620,3633,4445,4920,5128,4031,4459,3919,4177,2334,2258,1910,3534,2810,3408,2250,2141,2412,2063,3444,1880,2973,1827,5336,2790,2431,5284,3342,3240,1821,3858,2467,2425,5272,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725])).
% 54.42/54.19 cnf(5637,plain,
% 54.42/54.19 (E(f11(a68,x56371,f53(f53(f10(a68),f3(a68)),f9(a68,x56371))),f2(a68))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,263,418,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,251,309,419,445,452,5277,530,257,332,350,442,444,467,450,552,560,497,5209,5489,5547,5554,5600,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,564,458,447,5327,5373,5391,5477,226,232,236,240,244,270,288,599,5280,5320,381,382,394,208,600,496,296,321,405,463,5378,5387,5448,592,495,5357,5571,212,314,379,449,5192,5368,5464,229,407,432,329,384,391,601,602,246,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,392,265,377,403,473,224,388,223,214,275,266,387,292,504,291,474,274,4463,4606,4267,5116,4514,4352,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4376,4127,4867,4393,4983,4108,3998,5095,5038,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,4527,4404,5193,5383,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4748,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4177,2334,2258,1910,3534,2810,3582,3408,2250,2141,2412,2063,3444,1880,2973,1827,5336,2790,2431,5284,3342,3240,1821,3858,2467,2425,5272,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818])).
% 54.42/54.19 cnf(5638,plain,
% 54.42/54.19 (E(f53(f53(f10(a68),f3(a68)),x56381),x56381)),
% 54.42/54.19 inference(rename_variables,[],[450])).
% 54.42/54.19 cnf(5640,plain,
% 54.42/54.19 (~E(f53(f14(a1,a73),f52(f14(a1,a73))),f53(f14(a1,a73),f55(f14(a1,a73))))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,251,309,419,445,452,5277,530,257,332,350,442,444,467,450,552,560,497,5209,5489,5547,5554,5600,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,564,458,447,5327,5373,5391,5477,226,232,236,240,244,270,288,599,5280,5320,381,382,394,208,600,496,296,321,405,463,5378,5387,5448,592,495,5357,5571,212,314,379,449,5192,5368,5464,229,407,432,329,384,391,601,602,246,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,392,265,377,403,473,224,388,223,214,275,266,387,292,504,291,474,274,4463,4606,4267,5116,4514,4352,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4376,4127,4867,4393,4983,4108,3998,5095,5038,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,4527,4404,5193,5383,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4748,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4177,2334,2258,1910,3534,2810,3582,3408,2250,2141,2412,2063,3444,1880,2973,1827,5336,2790,2431,5284,3342,3240,1821,3858,2467,2425,5272,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958])).
% 54.42/54.19 cnf(5644,plain,
% 54.42/54.19 (~E(x56441,f11(a69,f11(a70,f3(a70),f9(a70,f8(a69,x56441,f8(a69,x56441,x56442)))),f8(a69,x56441,x56442)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,251,309,419,445,452,5277,530,257,332,350,442,444,467,450,552,560,497,5209,5489,5547,5554,5600,5616,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,564,458,447,5327,5373,5391,5477,226,232,236,240,244,270,288,599,5280,5320,381,382,394,208,600,496,296,321,405,463,5378,5387,5448,592,495,5357,5571,212,314,379,449,5192,5368,5464,229,407,432,329,384,391,601,602,246,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,392,265,377,403,473,224,388,223,214,275,266,387,292,504,291,474,274,4463,4606,4267,5116,4514,4352,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,4376,4127,4867,4393,4983,4108,3998,5095,5038,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,4527,4404,5193,5383,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4748,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4177,2334,2258,1910,3534,2810,3582,3408,2250,2141,2412,2063,3444,1880,2973,1827,5336,2790,2431,5284,3342,3240,1821,3858,2467,2425,5272,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215])).
% 54.42/54.19 cnf(5645,plain,
% 54.42/54.19 (~E(x56451,f11(a70,f3(a70),f9(a70,x56451)))),
% 54.42/54.19 inference(rename_variables,[],[4980])).
% 54.42/54.19 cnf(5652,plain,
% 54.42/54.19 (~P10(a68,f11(a68,f53(f53(f10(a68),f8(a68,f8(a68,x56521,x56522),f8(a68,x56521,x56522))),x56523),x56524),x56524)),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,251,309,419,445,452,5277,530,257,332,350,442,444,467,450,552,560,497,5209,5489,5547,5554,5600,5616,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,564,458,447,5327,5373,5391,5477,448,226,232,236,240,244,270,288,599,5280,5320,381,382,394,208,600,496,296,321,405,463,5378,5387,5448,592,495,5357,5571,212,314,379,449,5192,5368,5464,229,407,432,329,384,391,601,602,246,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,392,265,377,403,473,224,388,223,214,275,266,328,387,292,504,291,474,274,4463,4606,4267,5116,4514,4352,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,4376,4127,4867,4393,4983,4108,3998,5095,5038,4200,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,4527,4404,5193,5383,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4748,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4177,2334,2258,1910,3534,2810,3582,3408,2250,2141,2078,2412,2063,3444,1880,2973,1827,5336,2790,2431,5284,3342,3240,1821,3858,2467,2425,5272,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796])).
% 54.42/54.19 cnf(5653,plain,
% 54.42/54.19 (~P10(a68,x56531,x56531)),
% 54.42/54.19 inference(rename_variables,[],[1811])).
% 54.42/54.19 cnf(5656,plain,
% 54.42/54.19 (P10(a68,x56561,f11(a68,f26(a69,f24(x56561)),f3(a68)))),
% 54.42/54.19 inference(rename_variables,[],[515])).
% 54.42/54.19 cnf(5659,plain,
% 54.42/54.19 (P10(a68,x56591,f11(a68,f26(a69,f24(x56591)),f3(a68)))),
% 54.42/54.19 inference(rename_variables,[],[515])).
% 54.42/54.19 cnf(5661,plain,
% 54.42/54.19 (P9(a68,f2(a68),f25(a68,f2(a68)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,251,309,419,445,452,5277,530,257,332,350,442,444,467,450,552,560,497,5209,5489,5547,5554,5600,5616,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,564,458,447,5327,5373,5391,5477,448,226,232,236,240,244,270,288,599,5280,5320,515,5656,381,382,394,208,600,496,296,321,405,463,5378,5387,5448,592,495,5357,5571,212,314,379,449,5192,5368,5464,229,407,432,329,384,391,601,602,246,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,392,265,377,403,473,224,388,223,214,275,266,328,387,292,504,291,474,274,4463,4606,4267,5116,4514,4352,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,4376,4127,4867,4393,4983,4108,3998,5095,5038,4200,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,4527,4404,5193,5383,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4177,2334,2258,1910,3534,2810,3582,3408,2250,2141,2078,2412,2063,3444,1880,2973,1827,5336,2790,2431,5284,3342,3240,1821,3858,2467,2425,5272,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485])).
% 54.42/54.19 cnf(5666,plain,
% 54.42/54.19 (P10(a70,x56661,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x56661,f2(a70))),f3(a70))),f3(a70)))),
% 54.42/54.19 inference(rename_variables,[],[4541])).
% 54.42/54.19 cnf(5670,plain,
% 54.42/54.19 (P10(a69,f53(f53(f10(a69),f11(a69,a78,f3(a69))),f11(a69,a78,f3(a69))),f53(f53(f10(a69),f4(a1,a73)),f4(a1,a73)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,251,309,419,445,452,5277,530,257,332,350,442,444,467,450,552,560,497,5209,5489,5547,5554,5600,5616,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,564,458,447,5327,5373,5391,5477,448,226,232,236,240,244,270,288,599,5280,5320,515,5656,381,382,394,208,600,496,296,321,405,463,5378,5387,5448,592,495,5357,5571,212,314,379,449,5192,5368,5464,229,407,432,329,384,391,601,602,246,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,392,265,377,403,473,224,388,223,214,275,266,328,387,292,504,291,474,274,4463,4606,4267,5116,4514,4352,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,4376,4127,4867,4393,4983,4108,3998,5095,5038,4200,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,4527,4404,5193,5383,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4177,2334,2258,1910,3534,2810,3582,3408,2250,2141,2078,2412,2063,3444,1880,2973,1827,5336,2790,2431,5284,3342,3240,1821,3858,2467,2425,5272,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702])).
% 54.42/54.19 cnf(5675,plain,
% 54.42/54.19 (P9(a70,x56751,f7(a70,x56751))),
% 54.42/54.19 inference(rename_variables,[],[1938])).
% 54.42/54.19 cnf(5677,plain,
% 54.42/54.19 (P9(a69,x56771,f24(f7(a68,f26(a69,x56771))))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,251,309,419,445,452,5277,530,257,332,350,442,444,467,450,552,560,497,5209,5489,5547,5554,5600,5616,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,564,458,447,5327,5373,5391,5477,448,226,232,236,240,244,270,288,599,5280,5320,515,5656,381,382,394,208,600,496,296,321,405,463,5378,5387,5448,592,495,5357,5571,212,314,379,449,5192,5368,5464,229,407,432,329,384,391,601,602,246,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,392,265,377,403,473,224,388,223,214,275,266,328,387,292,504,291,474,274,4463,4606,4267,5116,4835,4514,4352,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,4376,4127,4867,4393,4983,4108,3998,5095,5038,4200,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,4527,4404,5193,5383,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4177,2334,2258,1910,3534,2810,3582,3408,2250,2141,2078,2412,2063,3444,1880,2973,1827,5336,2790,2431,5284,3342,3240,1821,1935,3858,1938,2467,2425,5272,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517])).
% 54.42/54.19 cnf(5695,plain,
% 54.42/54.19 (~P10(a68,x56951,x56951)),
% 54.42/54.19 inference(rename_variables,[],[1811])).
% 54.42/54.19 cnf(5704,plain,
% 54.42/54.19 (P9(a68,f53(f53(f10(a68),f3(a68)),f3(a68)),f3(a68))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,251,309,419,445,452,5277,530,257,332,350,442,444,467,450,552,560,497,5209,5489,5547,5554,5600,5616,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,564,458,447,5327,5373,5391,5477,5601,448,226,232,236,240,244,270,288,599,5280,5320,515,5656,5659,381,382,394,208,600,496,296,321,405,463,5378,5387,5448,592,5562,495,5357,5571,212,314,379,449,5192,5368,5464,397,229,407,432,329,384,391,601,602,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,392,265,377,403,473,224,388,223,214,275,266,328,387,348,292,504,291,474,274,4463,4606,4267,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,4376,4127,4867,4393,4983,4108,4934,3998,5095,5038,4200,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,4527,4404,5193,5383,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4177,2334,2258,1910,3534,2810,3582,3408,2250,2141,2078,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3858,1938,2642,2467,2425,5272,2695,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582])).
% 54.42/54.19 cnf(5705,plain,
% 54.42/54.19 (P9(a68,x57051,x57051)),
% 54.42/54.19 inference(rename_variables,[],[447])).
% 54.42/54.19 cnf(5707,plain,
% 54.42/54.19 (P9(a70,f11(a70,f11(a70,f8(a70,f3(a70),f11(a70,f3(a70),f3(a70))),f8(a70,f3(a70),f11(a70,f3(a70),f3(a70)))),f11(a70,f8(a70,f3(a70),f11(a70,f3(a70),f3(a70))),f8(a70,f3(a70),f11(a70,f3(a70),f3(a70))))),f2(a70))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,251,309,419,445,452,5277,530,257,332,350,442,444,467,450,552,560,497,5209,5489,5547,5554,5600,5616,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,564,458,447,5327,5373,5391,5477,5601,448,226,232,236,240,244,270,288,599,5280,5320,515,5656,5659,381,382,394,208,600,496,296,321,405,463,5378,5387,5448,592,5562,495,5357,5571,212,314,379,449,5192,5368,5464,397,229,407,432,329,384,391,601,602,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,392,265,377,403,473,224,388,223,214,275,266,328,387,348,292,504,291,474,274,4463,4606,4267,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,4376,4127,4867,4393,4983,4108,4934,3998,5095,5038,4200,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,4527,4404,5193,5383,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4177,2334,2258,1910,3534,2810,3582,3408,2250,2141,2078,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3858,1938,2642,2467,2425,5272,2695,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997])).
% 54.42/54.19 cnf(5709,plain,
% 54.42/54.19 (~P10(a69,x57091,f53(f53(f10(a69),f2(a69)),x57092))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,251,309,419,445,452,5277,530,257,332,350,442,444,467,450,552,560,497,5209,5489,5547,5554,5600,5616,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,564,458,447,5327,5373,5391,5477,5601,448,226,232,236,240,244,270,288,599,5280,5320,515,5656,5659,381,382,394,208,600,496,296,321,405,463,5378,5387,5448,592,5562,495,5357,5571,212,314,379,449,5192,5368,5464,397,229,407,432,329,384,391,601,602,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,392,265,377,403,473,224,388,223,214,275,266,328,387,348,292,504,291,474,274,4463,4606,4267,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,4376,4127,4867,4393,4983,4108,4934,3998,5095,5038,4200,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,4527,4404,5193,5383,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4177,2334,2258,1910,3534,2810,3582,3408,2250,2141,2078,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3858,1938,2642,2467,2425,5272,2695,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863])).
% 54.42/54.19 cnf(5717,plain,
% 54.42/54.19 (P10(a69,f2(a69),f8(a69,a44,f2(a69)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,251,309,419,445,452,5277,530,257,332,350,442,444,467,450,552,560,497,5209,5489,5547,5554,5600,5616,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,564,458,447,5327,5373,5391,5477,5601,448,226,232,236,240,244,270,288,599,5280,5320,515,5656,5659,381,382,394,208,600,496,296,321,405,463,5378,5387,5448,592,5562,495,5357,5571,212,314,379,449,5192,5368,5464,397,229,407,432,329,384,391,601,602,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,392,265,377,403,473,224,388,223,214,275,266,328,387,348,292,504,291,474,274,4463,4606,4267,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,4376,4127,4867,4393,4983,4108,4934,3998,5095,5038,4200,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,4527,4404,5193,5383,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4177,2334,2258,1910,3534,2810,3582,3408,2250,2141,2078,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3858,1938,2642,2467,2425,5272,2695,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269])).
% 54.42/54.19 cnf(5721,plain,
% 54.42/54.19 (E(x57211,f53(f53(f10(a70),f11(a70,f53(f53(f10(a70),f8(a70,x57212,x57212)),x57213),x57211)),f3(a70)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,251,309,419,445,452,5277,530,257,332,350,442,444,467,450,552,560,497,5209,5489,5547,5554,5600,5616,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,564,458,447,5327,5373,5391,5477,5601,448,226,232,236,240,244,270,288,599,5280,5320,515,5656,5659,381,382,394,208,600,496,296,321,405,463,5378,5387,5448,592,5562,495,5357,5571,212,314,379,449,5192,5368,5464,397,229,407,432,329,384,391,601,602,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,392,265,377,403,473,224,388,223,214,275,266,328,387,348,292,504,291,474,274,4463,4606,4267,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,4376,4127,4867,4393,4983,4108,4703,4934,3998,5095,5038,4200,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,4527,4404,5193,5383,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4177,2334,2258,1910,3534,2810,3582,3408,2250,2141,2078,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3858,1938,2642,2467,2425,5272,2695,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102])).
% 54.42/54.19 cnf(5727,plain,
% 54.42/54.19 (~P10(a69,x57271,f11(a69,f8(a69,x57271,f8(a69,x57271,x57272)),f8(a69,x57271,x57272)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,251,309,419,445,452,5277,530,257,332,350,442,444,467,450,552,560,497,5209,5489,5547,5554,5600,5616,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,564,458,447,5327,5373,5391,5477,5601,448,226,232,236,240,244,270,288,599,5280,5320,515,5656,5659,381,382,394,208,600,496,296,321,405,463,5378,5387,5448,592,5562,495,5357,5571,212,314,379,449,5192,5368,5464,397,229,407,432,329,384,391,601,602,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,392,265,377,403,473,224,388,223,214,275,266,328,387,348,292,504,291,474,274,4463,4606,4267,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,4376,4127,4867,4393,4983,4108,4703,4934,4701,3998,5095,5038,4200,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,4527,4404,5193,5383,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4177,2334,2258,1910,3534,2810,3582,3408,2250,2141,2078,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3858,1894,1938,2642,2467,2425,5272,2695,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540])).
% 54.42/54.19 cnf(5735,plain,
% 54.42/54.19 (P9(a69,x57351,f11(a69,x57351,x57352))),
% 54.42/54.19 inference(rename_variables,[],[496])).
% 54.42/54.19 cnf(5740,plain,
% 54.42/54.19 (P10(a70,f9(a70,f3(a70)),f11(a70,f2(a70),f3(a70)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,251,309,419,445,452,5277,530,257,332,350,442,444,467,450,552,560,497,5209,5489,5547,5554,5600,5616,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,564,458,447,5327,5373,5391,5477,5601,448,226,232,236,240,244,270,288,599,5280,5320,515,5656,5659,381,382,394,208,600,496,5481,296,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,449,5192,5368,5464,397,229,407,432,329,384,391,601,602,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,392,265,377,403,473,224,388,223,214,275,266,328,387,348,292,504,291,474,274,4463,4606,4267,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,4376,4127,4867,4393,4983,4108,4703,4934,4701,3998,5095,5038,4200,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,4527,4404,5193,5383,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4177,2334,2258,1910,3534,2810,3582,3408,2250,2141,2078,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3858,1894,1938,2642,2467,2425,5272,2695,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274])).
% 54.42/54.19 cnf(5744,plain,
% 54.42/54.19 (~E(f27(a1,f53(f14(a1,a73),a75)),f2(a68))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,251,309,419,445,452,5277,530,257,332,350,442,444,467,450,552,560,497,5209,5489,5547,5554,5600,5616,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,564,458,447,5327,5373,5391,5477,5601,448,226,232,236,240,244,270,288,599,5280,5320,515,5656,5659,381,382,394,208,600,496,5481,296,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,449,5192,5368,5464,397,229,407,432,329,384,391,601,602,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,274,4463,4606,4267,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,4376,4127,4867,4393,4983,4108,4703,4934,4701,3998,5095,5038,4200,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,4527,4404,5193,5383,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4177,2334,2258,1910,3534,2810,3582,3408,2250,2141,2078,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3858,1894,1938,2642,2467,2425,5272,2695,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706])).
% 54.42/54.19 cnf(5750,plain,
% 54.42/54.19 (~P9(a70,f11(a70,f53(f53(f10(a70),x57501),x57502),f11(a70,f11(a70,f53(f53(f10(a70),f8(a70,x57503,x57501)),x57502),x57504),f3(a70))),f11(a70,f53(f53(f10(a70),x57503),x57502),x57504))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,251,309,419,445,452,5277,530,257,332,350,442,444,467,450,552,560,497,5209,5489,5547,5554,5600,5616,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,564,458,447,5327,5373,5391,5477,5601,448,226,232,236,240,244,270,288,599,5280,5320,515,5656,5659,381,382,394,208,600,496,5481,296,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,449,5192,5368,5464,397,229,407,432,329,384,391,601,602,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,274,4463,4606,4267,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,4376,4127,4867,4393,4983,4108,4703,4934,4701,3998,5095,5038,4200,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,4527,4404,5193,5383,5623,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4177,2334,2258,1910,3534,2810,3582,3408,2250,2141,2078,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3858,1894,1938,2642,2467,2425,5272,2695,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784])).
% 54.42/54.19 cnf(5754,plain,
% 54.42/54.19 (~P10(a68,x57541,x57541)),
% 54.42/54.19 inference(rename_variables,[],[1811])).
% 54.42/54.19 cnf(5762,plain,
% 54.42/54.19 (~P10(a68,f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f3(a68)),f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74))))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,5695,251,309,419,445,452,5277,530,257,332,350,442,444,467,450,552,560,497,5209,5489,5547,5554,5600,5616,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,564,458,447,5327,5373,5391,5477,5601,448,226,232,236,240,244,270,288,599,5280,5320,515,5656,5659,381,382,394,208,600,496,5481,569,296,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,449,5192,5368,5464,397,229,407,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,274,4463,4606,4267,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,4376,4127,4867,4393,4983,4108,4703,4934,4701,3998,5095,5038,4200,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,4527,4404,5193,5383,5623,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4177,2334,2258,1910,3534,2810,3582,3408,2250,2141,2078,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3858,1894,1938,2642,2467,2425,5272,2695,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093])).
% 54.42/54.19 cnf(5766,plain,
% 54.42/54.19 (~P9(a68,f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),f27(a1,f53(f14(a1,a82),f53(f53(f10(a1),f28(a1,a81)),a83))))),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,5695,251,309,337,419,445,452,5277,530,257,332,350,442,444,467,450,552,560,497,5209,5489,5547,5554,5600,5616,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,564,458,447,5327,5373,5391,5477,5601,448,226,232,236,240,244,270,288,599,5280,5320,515,5656,5659,381,382,394,208,600,496,5481,569,296,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,449,5192,5368,5464,397,229,407,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,274,4463,4606,4267,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,4376,4127,4867,4393,4983,4108,4703,4934,4701,3998,5095,5038,4200,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4994,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,4527,4404,5193,5383,5623,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4177,2334,2258,1910,3534,2810,3582,3408,2250,2141,2078,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,2642,2467,2425,5272,2695,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500])).
% 54.42/54.19 cnf(5770,plain,
% 54.42/54.19 (~P10(a68,x57701,x57701)),
% 54.42/54.19 inference(rename_variables,[],[1811])).
% 54.42/54.19 cnf(5782,plain,
% 54.42/54.19 (~P10(a68,x57821,x57821)),
% 54.42/54.19 inference(rename_variables,[],[1811])).
% 54.42/54.19 cnf(5784,plain,
% 54.42/54.19 (P9(f72(a68),f53(f53(f10(f72(a68)),f9(f72(a68),f7(f72(a68),f2(f72(a68))))),f7(f72(a68),f2(f72(a68)))),f2(f72(a68)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,251,309,337,419,445,452,5277,530,257,332,350,442,444,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,564,458,447,5327,5373,5391,5477,5601,448,226,232,236,240,244,270,288,599,5280,5320,515,5656,5659,381,382,394,208,600,496,5481,569,296,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,449,5192,5368,5464,397,229,407,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,274,4463,4606,4267,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,4376,4127,4867,4393,4983,4108,4703,4934,4701,3998,5095,5038,4200,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4994,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,4527,4404,5193,5383,5623,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4856,4177,2334,2258,1910,3534,2810,3582,3408,2250,2141,2078,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,2642,2467,2425,5272,2695,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455])).
% 54.42/54.19 cnf(5786,plain,
% 54.42/54.19 (P9(a69,f11(a69,x57861,f2(a69)),x57861)),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,251,309,337,419,445,452,5277,530,257,332,350,442,444,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,564,458,447,5327,5373,5391,5477,5601,448,226,232,236,240,244,270,288,599,5280,5320,515,5656,5659,381,382,394,208,600,499,496,5481,569,296,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,449,5192,5368,5464,397,229,407,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,274,4463,4606,4267,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,4376,4127,4867,4393,4983,4108,4703,4934,4701,3998,5095,5038,4200,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4994,4803,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,4527,4404,5193,5383,5623,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4856,4177,2334,2258,1910,3534,2810,3582,3408,2250,2141,2078,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,2642,2467,2425,5272,2695,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013])).
% 54.42/54.19 cnf(5794,plain,
% 54.42/54.19 (P9(a69,f53(f53(f10(a69),f2(a69)),f53(f53(f10(a69),f2(a69)),f2(a69))),f2(a69))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,251,309,337,419,445,452,5277,530,257,332,350,442,444,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,448,226,232,236,240,244,249,270,288,294,599,5280,5320,515,5656,5659,381,382,394,208,600,499,496,5481,569,296,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,449,5192,5368,5464,397,229,407,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,274,4463,4606,4267,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,4376,4127,4867,4393,4983,4108,4703,4934,4701,3998,5095,5038,4200,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4994,4803,4034,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,4527,4404,5193,5383,5623,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4856,4177,2334,2258,1910,3534,2810,3582,3408,2250,2141,2078,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,2642,2467,2425,5272,2695,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459])).
% 54.42/54.19 cnf(5798,plain,
% 54.42/54.19 (P9(f72(a68),f53(f53(f10(f72(a68)),f7(f72(a68),f2(f72(a68)))),f9(f72(a68),f7(f72(a68),f2(f72(a68))))),f2(f72(a68)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,251,309,337,419,445,452,5277,530,257,332,350,442,444,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,448,226,232,236,240,244,249,270,288,294,599,5280,5320,515,5656,5659,381,382,394,208,600,499,496,5481,569,296,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,449,5192,5368,5464,397,229,407,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,274,4463,4606,4267,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,4376,4127,4867,4393,4983,4108,4703,4934,4701,3998,5095,5038,4200,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4994,4803,4034,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,4527,4404,5193,5383,5623,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4856,4177,2334,2258,1910,3534,2810,3582,3408,2250,2141,2078,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,2642,2467,2425,5272,2695,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454])).
% 54.42/54.19 cnf(5802,plain,
% 54.42/54.19 (~E(f9(a68,f11(a70,f3(a70),f9(a70,f9(a68,x58021)))),x58021)),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,251,309,337,419,445,452,5277,530,257,332,350,442,444,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,448,226,232,236,240,244,249,270,288,294,599,5280,5320,515,5656,5659,381,382,394,208,600,499,496,5481,569,296,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,449,5192,5368,5464,397,229,407,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,274,4463,4606,4267,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,4376,4127,4867,4393,4983,4108,4703,4934,4701,3998,5095,5038,4200,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4994,4803,4034,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,4527,4404,5193,5383,5623,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4856,4177,2334,2258,1910,3534,2810,3582,3408,2250,2141,2078,2407,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,2642,2467,2425,5272,2695,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723])).
% 54.42/54.19 cnf(5803,plain,
% 54.42/54.19 (~E(x58031,f11(a70,f3(a70),f9(a70,x58031)))),
% 54.42/54.19 inference(rename_variables,[],[4980])).
% 54.42/54.19 cnf(5808,plain,
% 54.42/54.19 (~E(f53(f53(f10(a70),f3(a70)),f3(a70)),f53(f53(f10(a70),f3(a70)),f2(a70)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,251,309,337,419,445,452,5277,530,257,332,350,442,444,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,448,226,232,236,240,244,249,270,288,294,599,5280,5320,471,515,5656,5659,381,382,394,208,600,499,496,5481,569,296,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,4376,4127,4867,4393,4983,4108,4703,4934,4701,3998,5095,5038,4200,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4994,4803,4034,4768,4161,4485,4946,4699,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,4527,4404,5193,5383,5623,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4856,4177,2334,2258,1910,3534,2810,3582,3408,2250,2141,2078,2407,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,2642,2467,2425,5272,2695,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766])).
% 54.42/54.19 cnf(5814,plain,
% 54.42/54.19 (~P9(a70,f11(a70,f11(a70,f3(a70),f3(a70)),f3(a70)),f9(a70,f11(a70,f11(a70,f3(a70),f3(a70)),f3(a70))))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,251,309,337,419,445,452,5277,530,257,332,350,442,444,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,448,226,232,236,240,244,249,270,288,294,599,5280,5320,471,515,5656,5659,381,382,394,208,600,499,496,5481,569,296,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,4376,4127,4867,4393,4983,4108,4703,4934,4701,3998,5095,5038,4200,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4994,4803,4034,4768,4161,4485,4946,4699,5574,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,4527,4404,5193,5383,5623,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4856,4177,2334,2258,1910,3534,2810,3582,3408,2250,2141,2078,2407,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,2642,2467,2425,5272,2695,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155])).
% 54.42/54.19 cnf(5816,plain,
% 54.42/54.19 (P9(a69,x58161,f11(a69,f53(f53(f10(a69),x58162),x58163),f11(a69,f11(a69,f53(f53(f10(a69),x58162),x58163),x58161),x58164)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,251,309,337,419,445,452,5277,530,257,332,350,442,444,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,448,226,232,236,240,244,249,270,288,294,599,5280,5320,471,515,5656,5659,381,382,394,208,600,499,496,5481,569,296,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,4376,4127,4867,4393,4983,4108,4703,4934,4701,3998,5095,5038,4200,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4994,4803,4034,4768,4161,4485,4946,4699,5574,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,4527,4404,5193,5383,5623,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4856,4177,2334,2258,1910,3534,2810,3582,3408,2250,2141,5620,2078,2407,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,2642,2467,2425,5272,2695,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602])).
% 54.42/54.19 cnf(5819,plain,
% 54.42/54.19 (P10(a68,f8(a68,f8(a68,x58191,f3(a68)),f26(a69,f24(x58191))),f2(a68))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,251,309,337,419,445,452,5277,530,257,332,350,442,444,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,448,226,232,236,240,244,249,270,288,294,599,5280,5320,471,515,5656,5659,381,382,394,208,600,499,496,5481,569,296,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,4376,4127,4867,4393,4983,4108,4703,4934,4701,3998,5095,5038,4200,3909,4892,4733,4967,3991,5024,5026,5029,5032,5034,4994,4803,4034,4768,4161,4485,4946,4699,5574,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,4527,4404,5193,5383,5623,4876,4883,5390,5418,4969,5263,5266,4149,5110,4954,4209,4590,2296,2338,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4856,4177,2334,2258,1910,3534,2810,3582,3408,2250,2141,5620,2078,2407,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,2642,2467,2425,5272,2695,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295])).
% 54.42/54.19 cnf(5824,plain,
% 54.42/54.19 (~P10(a68,f11(a68,f53(f53(f10(a68),f8(a68,x58241,x58242)),x58243),f11(a68,f7(a68,f11(a68,f53(f53(f10(a68),f8(a68,x58242,x58241)),x58243),x58244)),f3(a68))),x58244)),
% 54.42/54.19 inference(rename_variables,[],[4697])).
% 54.42/54.19 cnf(5841,plain,
% 54.42/54.19 (~P10(a68,x58411,f11(a68,f53(f53(f10(a68),f8(a68,x58412,x58412)),x58413),x58411))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,251,309,337,419,445,452,5277,530,257,332,350,442,444,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,448,226,232,236,240,244,249,270,288,294,599,5280,5320,471,515,5656,5659,381,382,394,208,600,499,496,5481,569,296,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,4376,4127,4867,4393,4983,4108,4703,4934,4701,3998,5095,5038,4200,3909,4892,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4803,4034,4768,4161,4485,4946,4699,5574,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,5529,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,4969,5263,5266,4149,4948,5110,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4856,4177,2334,2258,1910,3534,2810,2160,3582,3408,2250,2141,5620,2078,2407,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,2642,2467,2425,5272,2695,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441])).
% 54.42/54.19 cnf(5845,plain,
% 54.42/54.19 (~P10(a70,f9(a70,f9(a70,x58451)),x58451)),
% 54.42/54.19 inference(rename_variables,[],[4948])).
% 54.42/54.19 cnf(5847,plain,
% 54.42/54.19 (~P10(f72(a68),f2(f72(a68)),f13(f26(a69,f2(f72(a68)))))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,251,309,337,419,445,452,5277,530,257,332,350,442,444,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,448,226,232,236,240,244,249,270,288,294,599,5280,5320,471,515,5656,5659,381,382,394,208,600,499,496,5481,569,296,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,4376,4127,4867,4393,4983,4108,4703,4934,4701,3998,5095,5038,4200,3909,4892,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4803,4034,4768,4161,4485,4946,4699,5574,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,5529,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,4969,5263,5266,4149,4948,5110,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4856,4177,2334,2258,1910,3534,2810,2160,3582,3408,2250,2141,5620,2078,2407,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,2642,2467,2425,5272,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143])).
% 54.42/54.19 cnf(5853,plain,
% 54.42/54.19 (P9(a70,f11(a70,f53(f53(f10(a70),f8(a70,x58531,x58532)),x58533),x58534),f11(a70,f11(a70,f53(f53(f10(a70),f8(a70,x58531,x58532)),x58533),x58534),f53(f53(f20(a70),f7(a70,x58535)),x58536)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,251,309,337,419,445,452,5277,530,257,332,350,442,444,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,448,226,232,236,240,244,249,270,288,294,599,5280,5320,471,515,5656,5659,381,382,394,208,600,499,496,5481,569,296,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,4376,4127,4867,4393,4983,4108,4703,4934,4701,3998,5095,5038,4200,3909,4892,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4478,4803,4034,4768,4161,4485,4946,4699,5574,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,5529,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,4969,5263,5266,4149,4948,5110,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4856,4177,2334,2258,1910,3534,2810,2160,3582,3408,2250,2141,5620,2078,2407,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,2642,2467,2425,5272,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424])).
% 54.42/54.19 cnf(5862,plain,
% 54.42/54.19 (~P10(a68,f2(a68),f25(a68,f2(a68)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,251,309,337,419,445,452,5277,530,257,332,350,442,444,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,448,226,232,236,240,244,249,270,288,294,599,5280,5320,471,515,5656,5659,381,382,394,208,600,499,496,5481,569,296,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,4376,4127,4867,4393,4983,4108,4703,4934,4701,3998,5095,5038,4200,3909,4892,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4478,4803,4034,4768,4161,4485,4946,4699,5574,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,5529,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,4969,5263,5266,4149,4948,5110,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4856,4177,2334,2258,1910,3534,2810,2160,2798,3582,3408,2250,2141,5620,2078,2407,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,2642,1997,2467,2425,5272,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378])).
% 54.42/54.19 cnf(5866,plain,
% 54.42/54.19 (~P32(f8(a69,f9(a70,f9(a70,a69)),f2(a69)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,251,309,337,419,445,452,5277,530,257,332,350,395,442,444,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,466,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,448,226,232,236,240,244,249,270,288,294,599,5280,5320,471,515,5656,5659,381,382,394,208,600,499,496,5481,569,296,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,4376,4127,4867,4393,4577,4983,4108,4703,4934,4701,3998,5095,5038,4200,3909,4892,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4478,4803,4034,4768,4161,4563,4485,4946,4699,5574,4541,5246,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,5529,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,4969,5263,5266,4149,4948,5110,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4856,4177,2334,2258,1910,3534,2810,2160,2798,3582,3408,2250,2141,5620,2078,2407,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,2642,1997,2467,2425,5272,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124])).
% 54.42/54.19 cnf(5867,plain,
% 54.42/54.19 (E(f8(a69,x58671,f2(a69)),x58671)),
% 54.42/54.19 inference(rename_variables,[],[466])).
% 54.42/54.19 cnf(5868,plain,
% 54.42/54.19 (P13(a1,f53(f14(a1,f22(a1,f25(a1,f53(f14(a1,a80),f2(a1))),a80)),x58681),f11(a1,f8(a1,f53(f14(a1,f22(a1,f25(a1,f53(f14(a1,a80),f2(a1))),a80)),f2(a1)),f53(f53(f10(a1),x58682),f11(a1,f53(f14(a1,f22(a1,f25(a1,f53(f14(a1,a80),f2(a1))),a80)),f2(a1)),f53(f53(f10(a1),f53(f53(f20(a1),x58681),a44)),f53(f14(a1,f17(a1,a46,a43)),x58681))))),f53(f53(f10(a1),f53(f53(f20(a1),x58681),a44)),f53(f14(a1,f17(a1,a46,a43)),x58681))))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,251,309,337,419,445,452,5277,530,257,332,350,395,442,444,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,466,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,448,226,232,236,240,244,249,270,288,294,599,5280,5320,471,515,5656,5659,381,382,394,208,600,499,496,5481,569,296,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,4376,4127,4867,4393,4577,4983,4108,4703,4934,4701,3998,5095,5038,4200,3909,4892,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4478,4803,4034,4768,4161,4563,4485,4946,4699,5574,4541,5246,4990,5101,5208,5351,4880,5342,4211,4682,5553,5606,4697,5529,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,4969,5263,5266,4149,4948,5110,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4856,4177,2334,2258,1910,3534,2810,2160,2798,3582,3408,2250,2141,5620,2078,2407,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,2642,1997,2467,2425,5272,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756])).
% 54.42/54.19 cnf(5873,plain,
% 54.42/54.19 (E(x58731,f11(a69,x58731,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x58732)))),
% 54.42/54.19 inference(rename_variables,[],[4328])).
% 54.42/54.19 cnf(5876,plain,
% 54.42/54.19 (P9(a69,f8(a69,f2(a69),x58761),f8(a69,x58762,x58761))),
% 54.42/54.19 inference(rename_variables,[],[2612])).
% 54.42/54.19 cnf(5879,plain,
% 54.42/54.19 (E(x58791,f11(a69,x58791,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x58792)))),
% 54.42/54.19 inference(rename_variables,[],[4328])).
% 54.42/54.19 cnf(5882,plain,
% 54.42/54.19 (~E(f9(a68,f11(a70,f3(a70),f9(a70,f2(a68)))),f2(a68))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,251,309,337,419,445,452,5277,530,257,332,350,395,442,444,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,466,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,448,226,232,236,240,244,249,270,288,294,599,5280,5320,471,515,5656,5659,381,382,394,208,600,499,496,5481,569,296,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,5803,4376,4127,4867,4393,4577,4983,4108,4703,4934,4701,3998,5095,5038,4200,3909,4892,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4478,4803,4034,4768,4161,4563,4485,4946,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,4969,5263,5266,4149,4948,5110,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4856,4177,2334,2258,1910,3534,2810,2160,2798,3582,3408,2250,2141,5620,2078,2407,2612,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,2642,1997,2467,2425,5272,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716])).
% 54.42/54.19 cnf(5885,plain,
% 54.42/54.19 (~E(f11(a68,x58851,f2(a1)),f11(a68,x58851,a76))),
% 54.42/54.19 inference(rename_variables,[],[4892])).
% 54.42/54.19 cnf(5897,plain,
% 54.42/54.19 (P10(a68,f9(a68,f3(a68)),f7(a68,x58971))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,251,309,337,419,445,452,5277,530,257,332,350,395,442,444,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,466,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,5705,448,226,232,236,240,244,249,270,288,294,599,5280,5320,471,515,5656,5659,381,382,394,208,600,499,496,5481,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,584,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,5803,4376,4127,4867,4393,4577,4983,4108,4703,4934,4701,3998,5095,5038,4200,3909,4892,5577,5885,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4478,4803,4034,4768,4161,4563,4485,4946,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,4969,5263,5266,4149,4948,5110,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4856,4177,2334,2258,1910,3534,2810,2160,2798,3582,3408,2250,2141,5620,2078,2407,2612,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,2642,1997,2467,2425,5272,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391])).
% 54.42/54.19 cnf(5899,plain,
% 54.42/54.19 (~P10(a69,f11(a69,f11(a69,x58991,f8(a69,x58992,x58993)),x58993),x58992)),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,251,309,337,419,445,452,5277,530,257,332,350,395,442,444,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,466,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,5705,448,226,232,236,240,244,249,270,288,294,599,5280,5320,471,515,5656,5659,381,382,394,208,600,499,496,5481,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,584,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,5803,4376,4127,4867,4393,4577,4983,4108,4703,4934,4701,3998,5095,5038,4200,3909,4892,5577,5885,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4478,4803,4034,4768,4161,4563,4485,4946,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,4969,5263,5266,4149,4948,5110,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4856,4177,2334,2258,1910,3534,2810,2160,2798,3582,3408,2250,2141,5620,2078,2407,2612,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,2642,1997,2467,2425,5272,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496])).
% 54.42/54.19 cnf(5900,plain,
% 54.42/54.19 (~P10(a69,f11(a69,x59001,x59002),x59002)),
% 54.42/54.19 inference(rename_variables,[],[599])).
% 54.42/54.19 cnf(5903,plain,
% 54.42/54.19 (E(f7(a68,f26(a69,x59031)),f26(a69,x59031))),
% 54.42/54.19 inference(rename_variables,[],[443])).
% 54.42/54.19 cnf(5907,plain,
% 54.42/54.19 (P10(a70,f8(a70,x59071,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x59071,f9(a70,f9(a70,x59072)))),f3(a70))),f3(a70))),x59072)),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,251,309,337,419,445,452,5277,530,257,332,350,395,442,444,433,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,466,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,5705,448,226,232,236,240,244,249,270,288,294,599,5280,5320,471,515,5656,5659,381,382,394,208,600,499,496,5481,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,210,307,341,349,378,225,396,272,389,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,584,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,5803,4376,4127,4867,4393,4577,4983,4108,4703,4934,4701,3998,5095,5038,4200,3909,4892,5577,5885,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,4969,5263,5266,4120,4149,4948,5110,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4856,4177,2334,2258,1910,3534,2810,2160,2798,3582,3408,2250,2141,5620,2078,2407,2612,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,2642,1997,2467,2425,5272,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225])).
% 54.42/54.19 cnf(5912,plain,
% 54.42/54.19 (P9(a69,x59121,x59121)),
% 54.42/54.19 inference(rename_variables,[],[448])).
% 54.42/54.19 cnf(5915,plain,
% 54.42/54.19 (P9(a69,x59151,f53(f53(f10(a69),x59151),f53(f53(f10(a69),x59151),x59151)))),
% 54.42/54.19 inference(rename_variables,[],[527])).
% 54.42/54.19 cnf(5919,plain,
% 54.42/54.19 (P9(a69,f13(f2(a68)),x59191)),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,5903,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,251,309,337,419,445,452,5277,530,257,332,350,395,442,444,433,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,466,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,5705,448,226,232,236,240,244,249,270,288,294,599,5280,5320,471,515,5656,5659,381,382,394,208,600,499,527,496,5481,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,5540,210,307,341,349,378,225,396,272,389,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,584,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,5803,4376,4127,4867,4393,4577,4983,4108,4703,4934,4701,3998,5095,5038,4200,3909,4892,5577,5885,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,4969,5263,5266,4120,4149,4948,5110,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4031,4550,4459,3919,4856,4177,2334,2258,1910,3534,2810,2160,2798,3582,3408,2250,2141,5620,2078,2407,2612,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,2642,1997,2467,2425,5272,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088])).
% 54.42/54.19 cnf(5921,plain,
% 54.42/54.19 (P10(a70,x59211,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x59211,f9(a70,f2(a70)))),f3(a70))),f3(a70)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,5903,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,251,309,337,419,445,452,5277,530,257,332,350,395,442,444,433,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,466,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,5705,448,226,232,236,240,244,249,270,288,294,599,5280,5320,471,515,5656,5659,381,382,394,208,600,499,527,496,5481,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,5540,210,307,341,349,378,225,396,272,389,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,584,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,5803,4376,4127,4867,4393,4577,4983,4108,4703,4934,4701,3998,5095,5038,4200,3909,4892,5577,5885,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,4969,5263,5266,4120,4149,4948,5110,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4638,4031,4550,4459,3919,4856,4177,2334,2258,1910,3534,2810,2160,2798,3582,3408,2250,2141,5620,2078,2407,2612,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,2642,1997,2467,2425,5272,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383])).
% 54.42/54.19 cnf(5923,plain,
% 54.42/54.19 (~E(f11(a68,x59231,f9(a70,f11(a70,f3(a70),f11(a1,f53(f53(f10(a1),f8(a1,x59232,x59232)),x59233),f9(a68,x59231))))),f2(a68))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,5903,518,557,580,460,553,529,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,251,309,337,419,445,452,5277,530,257,332,350,395,442,444,433,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,466,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,5705,448,226,232,236,240,244,249,270,288,294,599,5280,5320,471,515,5656,5659,381,382,394,208,600,499,527,496,5481,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,5540,210,307,341,349,378,225,396,272,389,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,584,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,5803,4376,4536,4127,4867,4393,4577,4983,4108,4703,4934,4701,3998,5095,5038,4200,3909,4892,5577,5885,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,4969,5263,5266,4120,4149,4948,5110,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4638,4031,4550,4459,3919,4856,4177,2334,2258,1910,3534,2810,2160,2798,3582,3408,2250,2141,5620,2078,2407,2612,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,2642,1997,2467,2425,5272,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947])).
% 54.42/54.19 cnf(5931,plain,
% 54.42/54.19 (P9(a69,f8(a69,x59311,x59312),x59311)),
% 54.42/54.19 inference(rename_variables,[],[497])).
% 54.42/54.19 cnf(5932,plain,
% 54.42/54.19 (E(f11(a69,x59321,f11(a69,x59322,x59323)),f11(a69,x59322,f11(a69,x59321,x59323)))),
% 54.42/54.19 inference(rename_variables,[],[518])).
% 54.42/54.19 cnf(5935,plain,
% 54.42/54.19 (~P9(a68,f26(a69,f11(a69,f13(f11(a68,f26(a69,f2(a69)),f3(a68))),f24(x59351))),x59351)),
% 54.42/54.19 inference(rename_variables,[],[4969])).
% 54.42/54.19 cnf(5940,plain,
% 54.42/54.19 (P9(a68,x59401,x59401)),
% 54.42/54.19 inference(rename_variables,[],[447])).
% 54.42/54.19 cnf(5943,plain,
% 54.42/54.19 (P9(a68,x59431,x59431)),
% 54.42/54.19 inference(rename_variables,[],[447])).
% 54.42/54.19 cnf(5949,plain,
% 54.42/54.19 (~E(f9(a70,f11(a70,f11(a70,f3(a70),f3(a70)),f3(a70))),f2(a70))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,5903,518,5360,557,580,460,553,529,5432,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,251,299,309,337,419,445,452,5277,530,257,332,350,395,442,444,433,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,466,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,5705,5940,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,471,515,5656,5659,381,382,394,208,600,499,527,496,5481,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,5540,210,307,341,349,378,225,396,272,389,330,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,584,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,5803,4376,4536,4129,4127,4867,4393,4577,4983,4108,4703,4934,4701,3998,4694,5095,5038,4200,3909,4892,5577,5885,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,4969,5263,5266,5424,4120,4149,4948,5110,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4638,4031,4550,4459,3919,4856,4177,2334,2258,1910,3534,2810,2160,2798,3582,3408,2250,2141,5620,2078,2407,2612,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,2642,1997,2467,2425,5272,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712])).
% 54.42/54.19 cnf(5951,plain,
% 54.42/54.19 (P10(a69,x59511,f11(a69,f53(f53(f10(a69),f8(a69,x59512,x59512)),x59513),f13(f11(a68,f26(a69,f11(a69,f53(f53(f10(a69),f8(a69,x59512,x59512)),x59513),x59511)),f3(a68)))))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,5903,518,5360,557,580,460,553,529,5432,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,251,299,309,337,419,445,452,5277,530,257,332,350,395,442,444,433,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,466,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,5705,5940,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,471,515,5656,5659,381,382,394,208,600,499,527,496,5481,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,5540,210,307,341,349,378,225,396,272,389,330,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,584,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,5803,4376,4536,4129,4127,4867,4393,4577,4983,4108,4703,4934,4701,3998,4694,5095,5038,4200,3909,4892,5577,5885,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,4969,5263,5266,5424,4120,4149,4948,5110,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4638,4031,4550,4459,3919,4856,4177,2334,2258,1910,3534,2810,2160,2798,3582,3408,2250,2141,5620,2078,2407,2612,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,2642,1997,2467,2425,5272,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781])).
% 54.42/54.19 cnf(5960,plain,
% 54.42/54.19 (~P10(a68,x59601,x59601)),
% 54.42/54.19 inference(rename_variables,[],[1811])).
% 54.42/54.19 cnf(5966,plain,
% 54.42/54.19 (P9(a69,x59661,f11(a69,x59662,f53(f53(f10(a69),x59661),f53(f53(f10(a69),x59661),x59661))))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,5903,518,5360,557,580,460,553,529,5432,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,251,299,309,337,419,445,452,5277,530,257,332,350,395,442,444,433,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,466,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,5705,5940,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,471,515,5656,5659,381,382,394,208,600,499,527,5915,496,5481,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,5540,210,307,341,349,378,225,396,272,389,330,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,584,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,5803,4461,4376,4536,4129,4127,4867,4393,4577,4983,4108,4703,4934,4701,3998,4694,5095,5038,4200,3909,4892,5577,5885,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,4969,5263,5266,5424,4120,4149,4948,5110,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4638,4031,4550,4459,3919,4856,4177,2334,2258,1910,3534,2810,2160,2798,3582,3408,2250,2141,5620,2078,2407,2612,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,2642,1997,2467,2425,5272,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251])).
% 54.42/54.19 cnf(5968,plain,
% 54.42/54.19 (~P9(a68,f26(a69,f4(a1,a73)),f2(a68))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,5903,518,5360,557,580,460,553,529,5432,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,251,299,309,337,419,445,452,5277,530,257,332,350,395,442,444,433,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,466,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,5705,5940,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,471,515,5656,5659,381,382,394,208,600,499,527,5915,496,5481,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,5540,210,307,341,349,378,225,396,272,389,330,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,584,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,5803,4461,4376,4536,4129,4127,4867,4393,4577,4983,4108,4703,4934,4701,3998,4694,5095,5038,4200,3909,4892,5577,5885,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,4969,5263,5266,5424,4120,4149,4948,5110,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4638,4031,4550,4459,3919,4856,4177,2334,2258,1910,3534,2810,2160,2798,3582,3408,2250,2141,5620,2078,2407,2612,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,2642,1997,2467,2425,5272,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982])).
% 54.42/54.19 cnf(5972,plain,
% 54.42/54.19 (E(f9(f72(a1),f11(a69,f2(f72(a1)),f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x59721))),f2(f72(a1)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,5903,518,5360,557,580,460,553,529,5432,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,251,299,309,337,419,445,452,5277,530,257,332,350,395,442,444,433,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,466,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,5705,5940,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,471,515,5656,5659,381,382,394,208,600,499,527,5915,496,5481,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,5540,210,307,341,349,378,225,396,272,389,330,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,584,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,5879,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,5803,4461,4376,4536,4129,4127,4867,4393,4577,4983,4108,4703,4934,4701,3998,4694,5095,5038,4200,3909,4892,5577,5885,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,4969,5263,5266,5424,4120,4149,4948,5110,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4638,4031,4550,4459,3919,4856,4177,2334,2258,1910,3534,2810,2160,2798,3582,3408,2250,2141,5620,2078,2407,2612,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,2642,1997,2467,2425,5272,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982,1422,689])).
% 54.42/54.19 cnf(5980,plain,
% 54.42/54.19 (~P10(a68,f2(a68),f53(f53(f10(a68),f53(f53(f10(a70),f2(a68)),f3(a70))),f53(f53(f10(a70),f2(a68)),f3(a70))))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,5903,518,5360,557,580,460,553,529,5432,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,251,299,309,337,419,445,452,5277,530,257,332,350,395,442,444,433,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,466,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,5705,5940,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,471,515,5656,5659,381,382,394,208,600,499,527,5915,496,5481,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,5540,210,307,341,349,378,225,396,272,389,330,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,584,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,5879,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,5803,4461,4376,4536,4129,4127,4867,4393,4577,4983,4108,4703,4934,4701,3998,4694,5095,5038,4200,3909,4892,5577,5885,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,4969,5263,5266,5424,4120,4149,4948,5110,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4638,4031,4550,4459,3919,4856,4177,2334,2258,1910,3534,2810,2160,2798,3582,3408,2250,2141,5620,2078,2407,2612,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,2642,1997,2467,2425,5272,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982,1422,689,976,1423,1416,1245])).
% 54.42/54.19 cnf(5981,plain,
% 54.42/54.19 (E(f53(f53(f10(a70),x59811),f3(a70)),x59811)),
% 54.42/54.19 inference(rename_variables,[],[445])).
% 54.42/54.19 cnf(5995,plain,
% 54.42/54.19 (P10(a69,x59951,f24(f11(a68,f26(a69,x59951),f3(a68))))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,5903,518,5360,557,580,460,553,529,5432,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,251,299,309,337,419,445,452,5277,530,257,332,350,395,442,444,433,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,5931,466,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,5705,5940,5943,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,471,515,5656,5659,381,382,394,208,600,499,527,5915,496,5481,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,5540,210,307,341,349,378,225,396,272,305,389,330,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,584,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,5879,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,5803,4461,4376,4536,4129,4127,4867,4393,4577,4983,4108,4703,4934,4701,3998,4694,5095,5002,5038,4200,3909,4892,5577,5885,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,4969,5263,5266,5424,4120,4149,4948,5110,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4620,3633,4445,4920,5128,4638,4031,4550,4459,3919,4856,4177,2334,2258,1910,3534,2810,2160,2798,3582,3408,2250,2141,5620,2078,2407,2612,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,1984,2642,1997,2467,2425,5272,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982,1422,689,976,1423,1416,1245,1089,945,1553,1679,923,740,1186])).
% 54.42/54.19 cnf(6013,plain,
% 54.42/54.19 (E(x60131,f11(a69,f2(a69),x60131))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,5903,518,5360,557,580,460,553,529,5432,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,5960,251,299,309,337,419,445,5981,452,5277,530,257,332,350,395,442,444,433,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,5931,466,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,5705,5940,5943,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,471,515,5656,5659,381,382,394,208,600,499,527,5915,496,5481,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,5540,210,307,341,349,378,225,396,272,305,389,330,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,584,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,5879,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,5803,4461,4376,4536,4129,4127,4867,4393,4577,4983,4108,4703,4934,4701,3998,4694,5095,5002,5038,4200,3909,4892,5577,5885,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,5584,4969,5263,5266,5424,4120,4149,4948,5110,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4620,3633,4185,4445,4920,5128,4638,4031,4550,4459,3919,4856,4177,2334,2258,1910,2885,3534,2810,2160,2798,3582,3408,2250,2141,5620,2078,2407,2612,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,1984,2642,1997,2467,2425,5272,2445,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982,1422,689,976,1423,1416,1245,1089,945,1553,1679,923,740,1186,1131,1561,1276,1312,1692,1345,931])).
% 54.42/54.19 cnf(6014,plain,
% 54.42/54.19 (~P10(a69,f11(a69,x60141,x60142),x60142)),
% 54.42/54.19 inference(rename_variables,[],[599])).
% 54.42/54.19 cnf(6017,plain,
% 54.42/54.19 (~P10(a69,f11(a69,x60171,x60172),x60172)),
% 54.42/54.19 inference(rename_variables,[],[599])).
% 54.42/54.19 cnf(6022,plain,
% 54.42/54.19 (P9(a70,f9(a70,f3(a70)),f9(a70,f9(a70,f3(a70))))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,5903,518,5360,520,557,580,460,553,529,5432,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,5960,251,299,309,337,419,445,5981,452,5277,530,257,332,350,395,442,444,433,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,5931,466,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,5705,5940,5943,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,6014,471,515,5656,5659,381,382,394,208,600,499,527,5915,496,5481,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,5540,210,307,341,349,378,225,396,272,305,389,330,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,584,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,5879,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,5803,4461,4376,4536,4129,4127,4867,4393,4577,4983,4108,4703,4934,4701,3998,4694,5095,5002,5038,4200,3909,4892,5577,5885,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,5584,4969,5263,5266,5424,4120,4149,4948,5110,4775,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4620,3633,4185,4445,4920,5128,4638,4031,4550,4459,3919,4856,4177,2334,2258,1910,2885,3534,2810,2160,2798,3582,3408,2250,2141,5620,2078,2407,2612,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,1984,2642,1997,2467,2425,5272,2445,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982,1422,689,976,1423,1416,1245,1089,945,1553,1679,923,740,1186,1131,1561,1276,1312,1692,1345,931,1357,1697,926])).
% 54.42/54.19 cnf(6024,plain,
% 54.42/54.19 (~P10(a70,f2(a70),f53(f53(f10(a70),f2(a70)),f2(a70)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,5903,518,5360,520,557,580,460,553,529,5432,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,5960,251,299,309,337,419,445,5981,452,5277,530,257,332,350,395,442,444,433,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,5931,466,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,5705,5940,5943,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,6014,471,515,5656,5659,381,382,394,208,600,499,527,5915,496,5481,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,5540,210,307,341,349,378,225,396,272,305,389,330,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,584,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,5879,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,5803,4461,4376,4536,4129,4127,4867,4393,4577,4983,4108,4703,4934,4701,3998,4694,5095,5002,5038,4200,3909,4892,5577,5885,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,5584,4969,5263,5266,5424,4120,4149,4948,5110,4775,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4620,3633,4185,4445,4920,5128,4638,4031,4550,4459,3919,4856,4177,2334,2258,1910,2885,3534,2810,2160,2798,3582,3408,2250,2141,5620,2078,2407,2612,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,1984,2642,1997,2467,2425,5272,2445,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982,1422,689,976,1423,1416,1245,1089,945,1553,1679,923,740,1186,1131,1561,1276,1312,1692,1345,931,1357,1697,926,1021])).
% 54.42/54.19 cnf(6029,plain,
% 54.42/54.19 (P9(a68,f9(a68,f53(f53(f10(a68),x60291),x60291)),f53(f53(f10(a68),x60292),x60292))),
% 54.42/54.19 inference(rename_variables,[],[529])).
% 54.42/54.19 cnf(6031,plain,
% 54.42/54.19 (~P10(a70,f8(a70,f11(a70,x60311,f11(a70,x60312,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x60312,f2(a70))),f3(a70))),f3(a70)))),f3(a70)),x60311)),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,5903,518,5360,520,557,580,460,553,529,5432,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,5960,251,299,309,337,419,445,5981,452,5277,530,257,332,350,395,442,444,433,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,5931,466,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,5705,5940,5943,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,6014,471,515,5656,5659,381,382,394,208,600,499,527,5915,496,5481,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,5540,210,307,341,349,378,225,396,272,305,389,330,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,584,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,5879,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,5803,4461,4376,4536,4129,4127,4816,4867,4393,4577,4983,4108,4703,4934,4701,3998,4694,5095,5002,5038,4200,3909,4892,5577,5885,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,5584,4029,4969,5263,5266,5424,4120,4149,4948,5110,4775,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4620,3633,4185,4445,4920,5128,4638,4907,4031,4550,4459,3919,4856,4177,2334,2258,1910,2885,3534,2810,2160,2798,3582,3408,2250,2141,5620,2078,2407,2612,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,1984,2642,1997,2467,2425,5272,2445,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982,1422,689,976,1423,1416,1245,1089,945,1553,1679,923,740,1186,1131,1561,1276,1312,1692,1345,931,1357,1697,926,1021,1360,1072,1541])).
% 54.42/54.19 cnf(6033,plain,
% 54.42/54.19 (P10(a68,f9(a68,f26(a69,f24(x60331))),f9(a68,f8(a68,x60331,f3(a68))))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,5903,518,5360,520,557,580,460,553,529,5432,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,5960,251,299,309,337,419,445,5981,452,5277,530,257,332,350,395,442,444,433,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,5931,466,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,5705,5940,5943,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,6014,471,515,5656,5659,381,382,394,208,600,499,527,5915,496,5481,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,5540,210,307,341,349,378,225,396,272,305,389,330,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,584,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,5879,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,5803,4461,4376,4536,4129,4127,4816,4867,4393,4577,4983,4108,4703,4934,4701,3998,4694,5095,5002,5038,4200,3909,4892,5577,5885,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,5584,4029,4969,5263,5266,5424,4120,4149,4948,5110,4775,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4620,3633,4185,4445,4920,5128,4638,4907,4031,4550,4459,3919,4856,4177,2334,2258,1910,2885,3534,2810,2160,2798,3582,3408,2250,2141,5620,2078,2407,2612,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,1984,2642,1997,2467,2425,5272,2445,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982,1422,689,976,1423,1416,1245,1089,945,1553,1679,923,740,1186,1131,1561,1276,1312,1692,1345,931,1357,1697,926,1021,1360,1072,1541,1166])).
% 54.42/54.19 cnf(6040,plain,
% 54.42/54.19 (P9(a68,x60401,f11(a68,f7(a68,x60401),f3(a68)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,5903,518,5360,520,557,580,460,553,529,5432,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,5960,251,299,309,337,419,445,5981,452,5277,530,257,332,350,395,442,444,433,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,5931,466,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,5705,5940,5943,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,6014,480,471,515,5656,5659,381,382,394,208,600,499,527,5915,496,5481,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,5540,210,307,341,349,378,225,396,272,305,389,330,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,584,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,5879,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,5803,4461,4376,4536,4129,4127,4816,4867,4393,4577,4983,4108,4703,4934,4701,3998,4694,5095,5002,5038,4200,3909,4892,5577,5885,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,5584,4029,4969,5263,5266,5424,4120,4149,4948,5110,4775,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4620,3633,4185,4445,4920,5128,4638,4907,4031,4550,4459,3919,4856,4177,2334,2258,1910,2885,3534,2810,2160,2798,3582,3408,2250,2141,5620,2078,2407,2612,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,1984,2642,3410,1997,2467,2425,5272,2445,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982,1422,689,976,1423,1416,1245,1089,945,1553,1679,923,740,1186,1131,1561,1276,1312,1692,1345,931,1357,1697,926,1021,1360,1072,1541,1166,1087,1428,955])).
% 54.42/54.19 cnf(6043,plain,
% 54.42/54.19 (P10(a68,x60431,f11(a68,f26(a69,f24(x60431)),f3(a68)))),
% 54.42/54.19 inference(rename_variables,[],[515])).
% 54.42/54.19 cnf(6044,plain,
% 54.42/54.19 (~P10(a68,x60441,x60441)),
% 54.42/54.19 inference(rename_variables,[],[1811])).
% 54.42/54.19 cnf(6046,plain,
% 54.42/54.19 (~P10(f72(a68),f2(f72(a68)),f11(f72(a68),f53(f53(f10(f72(a68)),f53(f53(f10(a70),f2(f72(a68))),f3(a70))),f53(f53(f10(a70),f2(f72(a68))),f3(a70))),f53(f53(f10(f72(a68)),f53(f53(f10(a70),f2(f72(a68))),f3(a70))),f53(f53(f10(a70),f2(f72(a68))),f3(a70)))))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,5903,518,5360,520,557,580,460,553,529,5432,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,5960,251,299,309,337,419,445,5981,452,5277,530,257,332,350,395,442,444,433,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,5931,466,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,5705,5940,5943,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,6014,480,471,515,5656,5659,381,382,394,208,600,499,527,5915,496,5481,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,5540,210,307,341,349,378,225,396,272,305,389,330,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,584,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,5879,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,5803,4461,4376,4536,4129,4127,4816,4867,4393,4577,4983,4108,4703,4934,4701,3998,4694,5095,5002,5038,4200,3909,4892,5577,5885,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,5584,4029,4969,5263,5266,5424,4120,4149,4948,5110,4775,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4620,3633,4185,4445,4920,5128,4638,4907,4031,4550,4459,3919,4856,4177,2334,2258,1910,2885,3534,2810,2160,2798,3582,3408,2250,2141,5620,2078,2407,2612,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,1984,2642,3410,1997,2467,2425,5272,2445,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982,1422,689,976,1423,1416,1245,1089,945,1553,1679,923,740,1186,1131,1561,1276,1312,1692,1345,931,1357,1697,926,1021,1360,1072,1541,1166,1087,1428,955,1235,1742])).
% 54.42/54.19 cnf(6050,plain,
% 54.42/54.19 (~P14(a70,f8(a69,f53(f20(a70),f11(a70,f3(a70),f3(a70))),f2(a69)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,5903,518,5360,520,557,580,460,553,529,5432,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,5960,251,299,309,337,419,445,5981,452,5277,530,257,332,350,395,442,444,433,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,5931,466,5867,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,564,458,447,5327,5373,5391,5477,5601,5705,5940,5943,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,6014,480,471,515,5656,5659,381,382,394,208,600,499,527,5915,496,5481,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,5540,210,307,341,349,378,225,396,272,305,389,330,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,584,274,4463,4606,4267,4103,5116,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,5879,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,5803,4461,4376,4536,4129,4127,4816,4867,4393,4577,4983,4108,4703,4934,4701,3998,4694,5095,5002,5038,4200,3909,4892,5577,5885,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,5584,4029,4969,5263,5266,5424,4120,4149,4948,5110,4775,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4620,3633,4185,4445,4920,5128,4638,4907,4031,4550,4459,3919,4856,4177,2334,2258,1910,2885,3534,2810,2160,2798,3582,3408,2250,2141,5620,2078,2407,2612,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1935,3428,3858,1894,1938,1984,2642,3410,1997,2467,2425,5272,2445,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982,1422,689,976,1423,1416,1245,1089,945,1553,1679,923,740,1186,1131,1561,1276,1312,1692,1345,931,1357,1697,926,1021,1360,1072,1541,1166,1087,1428,955,1235,1742,1504,194])).
% 54.42/54.19 cnf(6056,plain,
% 54.42/54.19 (P9(a69,f8(a69,x60561,x60562),x60561)),
% 54.42/54.19 inference(rename_variables,[],[497])).
% 54.42/54.19 cnf(6061,plain,
% 54.42/54.19 (~P14(f11(a69,a70,f2(a69)),f53(f20(a70),f11(a70,f3(a70),f3(a70))))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,5903,518,5360,520,557,580,460,553,529,5432,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,5960,251,299,309,337,419,445,5981,452,5277,530,257,332,350,395,442,444,433,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,5931,466,5867,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,464,564,458,447,5327,5373,5391,5477,5601,5705,5940,5943,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,6014,480,471,515,5656,5659,381,382,394,208,600,499,527,5915,496,5481,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,5540,210,307,341,349,378,225,396,272,305,389,330,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,584,274,4463,4606,4267,4103,5116,4039,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,5879,4900,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,5803,4461,4376,4536,4129,4127,4816,4867,4393,4577,4983,4108,4703,4934,4701,3998,4694,5095,5002,5038,4200,3909,4892,5577,5885,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,5584,4029,4969,5263,5266,5424,4120,4149,4948,5110,4775,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4225,4620,3633,4185,4445,4920,5128,4638,4907,4031,4550,4459,3919,4856,4177,2334,2258,1910,2885,3534,2810,3047,2160,2798,3582,3408,2250,2141,5620,2078,2407,2612,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1824,1935,3428,3858,1894,1938,1984,2642,3410,1997,2467,2425,5272,2445,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982,1422,689,976,1423,1416,1245,1089,945,1553,1679,923,740,1186,1131,1561,1276,1312,1692,1345,931,1357,1697,926,1021,1360,1072,1541,1166,1087,1428,955,1235,1742,1504,194,172,145,23,8,122,21,116,2,193])).
% 54.42/54.19 cnf(6063,plain,
% 54.42/54.19 (~P24(f9(a70,f9(a70,a69)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,5903,518,5360,520,557,580,460,553,529,5432,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,5960,251,299,309,337,419,445,5981,452,5277,530,257,332,350,395,442,444,433,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,5931,466,5867,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,464,564,458,447,5327,5373,5391,5477,5601,5705,5940,5943,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,6014,480,471,515,5656,5659,381,382,394,208,600,499,527,5915,496,5481,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,5540,210,307,341,349,378,225,396,272,305,389,330,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,584,274,4463,4606,4267,4103,5116,4039,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,5879,4900,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,5803,4461,4376,4536,4129,4127,4816,4867,4393,4577,4983,4108,4703,4934,4701,3998,4694,5095,5002,5038,4200,3909,4892,5577,5885,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,5584,4029,4969,5263,5266,5424,4120,4149,4948,5110,4775,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4225,4620,3633,4185,4445,4920,5128,4638,4907,4031,4550,4459,3919,4856,4177,2334,2258,1910,2885,3534,2810,3047,2160,2798,3582,3408,2250,2141,5620,2078,2407,2612,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1824,1935,3428,3858,1894,1938,1984,2642,3410,1997,1966,2467,2425,5272,2445,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982,1422,689,976,1423,1416,1245,1089,945,1553,1679,923,740,1186,1131,1561,1276,1312,1692,1345,931,1357,1697,926,1021,1360,1072,1541,1166,1087,1428,955,1235,1742,1504,194,172,145,23,8,122,21,116,2,193,173,157])).
% 54.42/54.19 cnf(6064,plain,
% 54.42/54.19 (E(f9(a70,f9(a70,x60641)),x60641)),
% 54.42/54.19 inference(rename_variables,[],[442])).
% 54.42/54.19 cnf(6065,plain,
% 54.42/54.19 (~P16(f9(a70,f9(a70,f13(f26(a69,a69)))))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,5903,518,5360,520,557,580,460,553,529,5432,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,5960,251,299,309,337,419,445,5981,452,5277,530,257,332,350,395,442,6064,444,433,467,450,5638,552,560,497,5209,5489,5547,5554,5600,5616,5931,466,5867,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,464,564,458,447,5327,5373,5391,5477,5601,5705,5940,5943,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,6014,480,471,515,5656,5659,381,382,394,208,600,499,527,5915,496,5481,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,5540,210,307,341,349,378,225,396,272,305,389,330,376,273,598,5501,392,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,291,474,584,274,4463,4606,4267,4103,5116,4039,4835,4514,5099,4352,3915,4417,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,5879,4900,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,5803,4461,4376,4536,4129,4127,4816,4867,4393,4577,4983,4108,4703,4934,4701,3998,4694,4989,5095,5002,5038,4200,3909,4892,5577,5885,4733,4244,4967,3954,3991,5024,5026,5029,5032,5034,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,5584,4029,4969,5263,5266,5424,4120,4149,4948,5110,4775,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4225,4620,3633,4185,4445,4920,5128,4638,4907,4031,4550,4459,3919,4856,4177,2334,2258,1910,2885,3534,2810,3047,2160,2798,3582,3408,2250,2141,5620,2078,2407,2612,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,3342,3432,3240,1821,1824,1935,3428,3858,1894,1938,1984,2642,3410,1997,1966,2467,2425,5272,2445,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982,1422,689,976,1423,1416,1245,1089,945,1553,1679,923,740,1186,1131,1561,1276,1312,1692,1345,931,1357,1697,926,1021,1360,1072,1541,1166,1087,1428,955,1235,1742,1504,194,172,145,23,8,122,21,116,2,193,173,157,153])).
% 54.42/54.19 cnf(6066,plain,
% 54.42/54.19 (E(f9(a70,f9(a70,x60661)),x60661)),
% 54.42/54.19 inference(rename_variables,[],[442])).
% 54.42/54.19 cnf(6071,plain,
% 54.42/54.19 (P10(a68,x60711,f11(a68,f26(a69,f24(x60711)),f3(a68)))),
% 54.42/54.19 inference(rename_variables,[],[515])).
% 54.42/54.19 cnf(6119,plain,
% 54.42/54.19 (P9(a68,x61191,x61191)),
% 54.42/54.19 inference(rename_variables,[],[447])).
% 54.42/54.19 cnf(6124,plain,
% 54.42/54.19 (~P10(a69,f8(a69,f2(a69),f8(a69,f2(a69),x61241)),f8(a69,f11(a69,f8(a69,f2(a69),x61241),f8(a69,f2(a69),x61241)),f8(a69,f2(a69),x61241)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,5903,518,5360,5932,520,557,580,460,553,529,5432,6029,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,5960,251,299,309,337,419,445,5981,452,5277,530,257,332,350,395,442,6064,444,433,467,450,5638,552,5550,560,497,5209,5489,5547,5554,5600,5616,5931,6056,466,5867,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,464,564,458,447,5327,5373,5391,5477,5601,5705,5940,5943,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,6014,480,471,515,5656,5659,6043,381,382,394,208,600,499,527,5915,496,5481,5735,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,5540,210,307,341,349,378,225,396,272,305,389,330,376,273,598,5501,392,247,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,219,291,474,584,274,4463,4606,4267,4103,5116,4039,4835,4514,5099,4352,3915,4417,3937,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,5879,4900,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,5803,4461,4376,4536,4129,4127,4816,4867,4393,4577,4983,4108,4703,4546,4934,4701,3998,4694,4989,5095,5002,5038,4200,3909,4250,4892,5577,5885,4733,4244,4967,3954,3991,5000,5024,5026,5029,5032,5034,5037,5040,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,5584,4029,4969,5263,5266,5424,5935,4120,4149,4948,5110,4775,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4434,4225,4620,3633,4185,4445,4920,5128,4638,4907,4031,4550,4048,4459,3919,4078,4856,4177,2334,3852,2258,1908,1910,2885,3534,2810,1904,3047,2160,2798,3582,3408,5301,2250,2141,5620,2078,2407,2612,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,5537,3342,3432,3240,1821,2800,1824,1935,3428,3858,1894,1938,1984,2642,3410,1997,1966,2467,2425,5272,2445,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982,1422,689,976,1423,1416,1245,1089,945,1553,1679,923,740,1186,1131,1561,1276,1312,1692,1345,931,1357,1697,926,1021,1360,1072,1541,1166,1087,1428,955,1235,1742,1504,194,172,145,23,8,122,21,116,2,193,173,157,153,7,121,115,3187,1118,1249,764,928,812,792,679,1015,804,782,778,1653,1353,1315,1387,1328,892,1126,1302,1386,1737,1342,1705])).
% 54.42/54.19 cnf(6129,plain,
% 54.42/54.19 (E(f11(a69,x61291,x61292),f11(a69,x61292,x61291))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6131,plain,
% 54.42/54.19 (E(f11(a69,x61311,x61312),f11(a69,x61312,x61311))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6133,plain,
% 54.42/54.19 (E(f11(a69,x61331,x61332),f11(a69,x61332,x61331))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6135,plain,
% 54.42/54.19 (E(f11(a69,x61351,x61352),f11(a69,x61352,x61351))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6137,plain,
% 54.42/54.19 (E(f11(a69,x61371,x61372),f11(a69,x61372,x61371))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6139,plain,
% 54.42/54.19 (E(f11(a69,x61391,x61392),f11(a69,x61392,x61391))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6141,plain,
% 54.42/54.19 (E(f11(a69,x61411,x61412),f11(a69,x61412,x61411))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6142,plain,
% 54.42/54.19 (P69(f11(a69,a69,f53(f53(f10(a69),f8(a69,x61421,x61421)),x61422)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,5903,518,5360,5932,520,557,580,460,553,529,5432,6029,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,5960,251,299,309,337,419,445,5981,452,5277,530,257,332,350,395,484,6129,6131,6133,6135,6137,6139,6141,442,6064,444,433,467,450,5638,552,5550,560,497,5209,5489,5547,5554,5600,5616,5931,6056,466,5867,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,464,564,458,447,5327,5373,5391,5477,5601,5705,5940,5943,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,6014,480,471,515,5656,5659,6043,381,382,394,208,600,499,527,5915,496,5481,5735,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,5540,210,307,341,349,378,225,396,272,305,389,330,376,273,598,5501,392,247,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,219,291,474,584,274,4463,4606,4267,4103,5116,4039,4835,4514,5099,4352,3915,4417,3937,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,5879,4900,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,5803,4461,4376,4536,4129,4127,4816,4867,4393,4577,4983,4108,4703,4546,4934,4701,3998,4694,4989,5095,5002,5038,4200,3909,4250,4892,5577,5885,4733,4244,4967,3954,3991,4996,4998,5000,5006,5009,5010,5018,5024,5026,5029,5032,5034,5037,5040,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,5584,4029,4969,5263,5266,5424,5935,4120,4149,4948,5110,4775,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4434,4225,4620,3633,4185,4445,4920,5128,4638,4907,4031,4550,4048,4459,3919,4078,4856,4177,2334,3852,2258,1908,1910,2885,3534,2810,1904,3047,2160,2798,3582,3408,5301,2250,2141,5620,2078,2407,2612,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,5537,3342,3432,3240,1821,2800,1824,1935,3428,3858,1894,1938,1984,2642,3410,1997,1966,2467,2425,5272,2445,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982,1422,689,976,1423,1416,1245,1089,945,1553,1679,923,740,1186,1131,1561,1276,1312,1692,1345,931,1357,1697,926,1021,1360,1072,1541,1166,1087,1428,955,1235,1742,1504,194,172,145,23,8,122,21,116,2,193,173,157,153,7,121,115,3187,1118,1249,764,928,812,792,679,1015,804,782,778,1653,1353,1315,1387,1328,892,1126,1302,1386,1737,1342,1705,202,200,192,188,182,181,167,158])).
% 54.42/54.19 cnf(6143,plain,
% 54.42/54.19 (E(f11(a69,x61431,x61432),f11(a69,x61432,x61431))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6145,plain,
% 54.42/54.19 (P68(f11(a69,a69,f53(f53(f10(a69),f8(a69,x61451,x61451)),x61452)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,5903,518,5360,5932,520,557,580,460,553,529,5432,6029,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,5960,251,299,309,337,419,445,5981,452,5277,530,257,332,350,395,484,6129,6131,6133,6135,6137,6139,6141,6143,442,6064,444,433,467,450,5638,552,5550,560,497,5209,5489,5547,5554,5600,5616,5931,6056,466,5867,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,464,564,458,447,5327,5373,5391,5477,5601,5705,5940,5943,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,6014,480,471,515,5656,5659,6043,381,382,394,208,600,499,527,5915,496,5481,5735,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,5540,210,307,341,349,378,225,396,272,305,389,330,376,273,598,5501,392,247,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,219,291,474,584,274,4463,4606,4267,4103,5116,4039,4835,4514,5099,4352,3915,4417,3937,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,5879,4900,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,5803,4461,4376,4536,4129,4127,4816,4867,4393,4577,4983,4108,4703,4546,4934,4701,3998,4694,4989,5095,5002,5038,4200,3909,4250,4892,5577,5885,4733,4244,4967,3954,3991,4996,4998,5000,5006,5009,5010,5018,5024,5026,5029,5032,5034,5037,5040,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,5584,4029,4969,5263,5266,5424,5935,4120,4149,4948,5110,4775,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4434,4225,4620,3633,4185,4445,4920,5128,4638,4907,4031,4550,4048,4459,3919,4078,4856,4177,2334,3852,2258,1908,1910,2885,3534,2810,1904,3047,2160,2798,3582,3408,5301,2250,2141,5620,2078,2407,2612,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,5537,3342,3432,3240,1821,2800,1824,1935,3428,3858,1894,1938,1984,2642,3410,1997,1966,2467,2425,5272,2445,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982,1422,689,976,1423,1416,1245,1089,945,1553,1679,923,740,1186,1131,1561,1276,1312,1692,1345,931,1357,1697,926,1021,1360,1072,1541,1166,1087,1428,955,1235,1742,1504,194,172,145,23,8,122,21,116,2,193,173,157,153,7,121,115,3187,1118,1249,764,928,812,792,679,1015,804,782,778,1653,1353,1315,1387,1328,892,1126,1302,1386,1737,1342,1705,202,200,192,188,182,181,167,158,154])).
% 54.42/54.19 cnf(6146,plain,
% 54.42/54.19 (E(f11(a69,x61461,x61462),f11(a69,x61462,x61461))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6149,plain,
% 54.42/54.19 (E(f11(a69,x61491,x61492),f11(a69,x61492,x61491))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6151,plain,
% 54.42/54.19 (E(f11(a69,x61511,x61512),f11(a69,x61512,x61511))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6152,plain,
% 54.42/54.19 (P28(f11(a69,a69,f53(f53(f10(a69),f8(a69,x61521,x61521)),x61522)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,5903,518,5360,5932,520,557,580,460,553,529,5432,6029,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,5960,251,299,309,337,419,445,5981,452,5277,530,257,332,350,395,484,6129,6131,6133,6135,6137,6139,6141,6143,6146,6149,6151,442,6064,444,433,467,450,5638,552,5550,560,497,5209,5489,5547,5554,5600,5616,5931,6056,466,5867,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,464,564,458,447,5327,5373,5391,5477,5601,5705,5940,5943,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,6014,480,471,515,5656,5659,6043,381,382,394,208,600,499,527,5915,496,5481,5735,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,479,5467,5540,210,307,341,349,378,225,396,272,305,389,330,376,273,598,5501,392,247,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,219,291,474,584,274,4463,4606,4267,4103,5116,4039,4835,4514,5099,4352,3915,4417,3937,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,5879,4900,4972,4636,5377,5386,5447,4894,4562,4533,4170,4002,4980,5645,5803,4461,4376,4536,4129,4127,4816,4867,4393,4577,4983,4108,4703,4546,4934,4701,3998,4694,4989,5095,5002,5038,4200,3909,4250,4892,5577,5885,4733,4244,4967,3954,3991,4996,4998,5000,5006,5009,5010,5018,5024,5026,5027,5029,5031,5032,5034,5037,5040,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,5584,4029,4969,5263,5266,5424,5935,4120,4149,4948,5110,4775,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4434,4225,4620,3633,4185,4445,4920,5128,4638,4907,4031,4550,4048,4459,3919,4078,4856,4177,2334,3852,2258,1908,1910,2885,3534,2810,1904,3047,2160,2798,3582,3408,5301,2250,2141,5620,2078,2407,2612,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,5537,3342,3432,3240,1821,2800,1824,1935,3428,3858,1894,1938,1984,2642,3410,1997,1966,2467,2425,5272,2445,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982,1422,689,976,1423,1416,1245,1089,945,1553,1679,923,740,1186,1131,1561,1276,1312,1692,1345,931,1357,1697,926,1021,1360,1072,1541,1166,1087,1428,955,1235,1742,1504,194,172,145,23,8,122,21,116,2,193,173,157,153,7,121,115,3187,1118,1249,764,928,812,792,679,1015,804,782,778,1653,1353,1315,1387,1328,892,1126,1302,1386,1737,1342,1705,202,200,192,188,182,181,167,158,154,152,147,146])).
% 54.42/54.19 cnf(6153,plain,
% 54.42/54.19 (E(f11(a69,x61531,x61532),f11(a69,x61532,x61531))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6156,plain,
% 54.42/54.19 (E(f11(a69,x61561,x61562),f11(a69,x61562,x61561))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6158,plain,
% 54.42/54.19 (E(f11(a69,x61581,x61582),f11(a69,x61582,x61581))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6159,plain,
% 54.42/54.19 (~P9(a69,f8(a69,f53(f53(f10(a69),f4(a1,f11(a68,f2(f72(a1)),f3(a68)))),f4(a1,f11(a68,f2(f72(a1)),f3(a68)))),f2(a69)),f8(a69,f2(a69),f2(a69)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,401,443,5903,518,5360,5932,520,557,580,460,553,529,5432,6029,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,5960,251,299,309,337,419,445,5981,452,5277,530,257,332,350,395,484,6129,6131,6133,6135,6137,6139,6141,6143,6146,6149,6151,6153,6156,442,6064,444,433,467,450,5638,552,5550,560,497,5209,5489,5547,5554,5600,5616,5931,6056,466,5867,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,464,564,458,447,5327,5373,5391,5477,5601,5705,5940,5943,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,6014,480,471,515,5656,5659,6043,381,382,394,208,600,499,527,5915,496,5481,5735,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,404,479,5467,5540,210,307,341,349,378,225,396,272,305,389,330,376,273,598,5501,392,247,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,219,291,474,584,274,4463,4606,4267,4103,5116,4039,4835,4514,5099,4352,3915,4417,3937,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,5879,4900,4972,4636,5377,5386,5447,4894,4562,4533,4721,4170,4002,4980,5645,5803,4461,4376,4536,4129,4127,4816,4867,4393,4577,4983,4108,4703,4546,4934,4701,3998,4694,4989,5095,5002,5038,5039,4200,3909,4250,4892,5577,5885,4733,4244,4967,3954,3991,4996,4998,5000,5006,5009,5010,5018,5024,5026,5027,5029,5031,5032,5034,5036,5037,5040,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,5584,4029,4969,5263,5266,5424,5935,4120,4149,4948,5110,4775,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4434,4225,4620,3633,4185,4445,4920,5128,4638,4907,4031,4550,4048,4459,3919,4078,4856,4177,2334,3852,2258,1908,1910,2885,3534,2810,1904,3047,2160,2798,3582,3408,5301,2250,2141,5620,2078,2407,2612,5876,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,5537,3342,3432,3240,1821,2800,1824,1935,3428,3858,1894,1938,1984,2642,3410,1997,1966,2467,2425,5272,2445,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982,1422,689,976,1423,1416,1245,1089,945,1553,1679,923,740,1186,1131,1561,1276,1312,1692,1345,931,1357,1697,926,1021,1360,1072,1541,1166,1087,1428,955,1235,1742,1504,194,172,145,23,8,122,21,116,2,193,173,157,153,7,121,115,3187,1118,1249,764,928,812,792,679,1015,804,782,778,1653,1353,1315,1387,1328,892,1126,1302,1386,1737,1342,1705,202,200,192,188,182,181,167,158,154,152,147,146,134,128,1113])).
% 54.42/54.19 cnf(6166,plain,
% 54.42/54.19 (E(f11(a69,x61661,x61662),f11(a69,x61662,x61661))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6168,plain,
% 54.42/54.19 (E(f11(a69,x61681,x61682),f11(a69,x61682,x61681))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6170,plain,
% 54.42/54.19 (E(f11(a69,x61701,x61702),f11(a69,x61702,x61701))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6187,plain,
% 54.42/54.19 (~P9(a70,f53(f53(f10(a70),f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,f3(a70),f2(a70))),f3(a70))),f3(a70))),f9(a70,f9(a70,f3(a70)))),f53(f53(f10(a70),f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,f3(a70),f2(a70))),f3(a70))),f3(a70))),f9(a70,f3(a70))))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,383,401,443,5903,518,5360,5932,520,557,580,460,553,529,5432,6029,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,5960,251,299,309,337,419,445,5981,452,5277,530,257,332,350,395,484,6129,6131,6133,6135,6137,6139,6141,6143,6146,6149,6151,6153,6156,6158,6166,6168,442,6064,6066,444,433,467,450,5638,552,5550,560,497,5209,5489,5547,5554,5600,5616,5931,6056,466,5867,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,464,564,458,447,5327,5373,5391,5477,5601,5705,5940,5943,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,6014,6017,480,471,515,5656,5659,6043,6071,351,381,382,394,208,600,499,527,5915,496,5481,5735,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,404,479,5467,5540,210,307,341,349,378,225,396,272,305,389,330,376,273,598,5501,392,247,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,219,291,474,584,274,4463,4606,4267,4103,5116,4039,4835,4514,5099,4352,3915,4417,3937,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,5879,4900,4972,4636,5377,5386,5447,4894,4562,4533,4721,4170,4002,4980,5645,5803,4461,4376,4536,4129,4127,4816,4867,4393,4577,4983,4108,4703,4546,4934,4701,3998,4051,4694,4989,5095,5002,5038,5039,4200,3909,4250,4892,5577,5885,4733,4244,4967,3954,3991,4996,4998,5000,5006,5009,5010,5018,5020,5024,5026,5027,5029,5031,5032,5034,5036,5037,5040,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,5584,4029,4969,5263,5266,5424,5935,4120,4149,4948,5845,5110,4775,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4434,4225,4620,3633,4185,4445,4920,5128,4638,4907,4031,4550,4048,4459,3919,4078,4856,4177,2334,3852,2258,1908,1910,2885,3534,2810,1904,3047,2160,2798,3582,3408,5301,2250,2141,5620,2078,2407,2612,5876,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,5537,3342,3432,3240,1821,2800,1824,1935,2414,2476,3428,3858,1894,1938,1984,2642,3410,1997,1966,2467,2425,5272,2445,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982,1422,689,976,1423,1416,1245,1089,945,1553,1679,923,740,1186,1131,1561,1276,1312,1692,1345,931,1357,1697,926,1021,1360,1072,1541,1166,1087,1428,955,1235,1742,1504,194,172,145,23,8,122,21,116,2,193,173,157,153,7,121,115,3187,1118,1249,764,928,812,792,679,1015,804,782,778,1653,1353,1315,1387,1328,892,1126,1302,1386,1737,1342,1705,202,200,192,188,182,181,167,158,154,152,147,146,134,128,1113,1343,163,132,127,1240,1420,902,831,1020,727,1330,1518,1439])).
% 54.42/54.19 cnf(6189,plain,
% 54.42/54.19 (~P9(a70,f3(a70),f8(a70,f11(a70,f9(a70,f3(a70)),f3(a70)),f3(a70)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,383,401,443,5903,518,5360,5932,520,557,580,460,553,529,5432,6029,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,5960,251,299,309,337,419,445,5981,452,5277,530,257,332,350,395,484,6129,6131,6133,6135,6137,6139,6141,6143,6146,6149,6151,6153,6156,6158,6166,6168,442,6064,6066,444,433,467,450,5638,552,5550,560,497,5209,5489,5547,5554,5600,5616,5931,6056,466,5867,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,464,564,458,447,5327,5373,5391,5477,5601,5705,5940,5943,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,6014,6017,480,471,515,5656,5659,6043,6071,351,381,382,394,208,600,499,527,5915,496,5481,5735,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,404,479,5467,5540,210,307,341,349,378,225,396,272,305,389,330,376,273,598,5501,392,247,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,219,291,474,584,274,4463,4606,4267,4103,5116,4039,4835,4514,5099,4352,3915,4417,3937,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,5879,4900,4972,4636,5377,5386,5447,4894,4562,4533,4721,4170,4002,4980,5645,5803,4461,4376,4536,4129,4127,4816,4867,4393,4577,4983,4108,4703,4546,4934,4701,3998,4051,4694,4989,5095,5002,5038,5039,4200,3909,4250,4892,5577,5885,4733,4244,4967,3954,3991,4996,4998,5000,5006,5009,5010,5018,5020,5024,5026,5027,5029,5031,5032,5034,5036,5037,5040,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,5584,4029,4969,5263,5266,5424,5935,4120,4149,4948,5845,5110,4775,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4434,4225,4620,3633,4185,4445,4920,5128,4638,4907,4031,4550,4048,4459,3919,4078,4856,4177,2334,3852,2258,1908,1910,2885,3534,2810,1904,3047,2160,2798,3582,3408,5301,2250,2141,5620,2078,2407,2612,5876,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,5537,3342,3432,3240,1821,2800,1824,1935,2414,2476,3428,3858,1894,1938,1984,2642,3410,1997,1966,2467,2425,5272,2445,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982,1422,689,976,1423,1416,1245,1089,945,1553,1679,923,740,1186,1131,1561,1276,1312,1692,1345,931,1357,1697,926,1021,1360,1072,1541,1166,1087,1428,955,1235,1742,1504,194,172,145,23,8,122,21,116,2,193,173,157,153,7,121,115,3187,1118,1249,764,928,812,792,679,1015,804,782,778,1653,1353,1315,1387,1328,892,1126,1302,1386,1737,1342,1705,202,200,192,188,182,181,167,158,154,152,147,146,134,128,1113,1343,163,132,127,1240,1420,902,831,1020,727,1330,1518,1439,1163])).
% 54.42/54.19 cnf(6191,plain,
% 54.42/54.19 (P9(a68,f53(f53(f10(a68),f13(f26(a69,f2(a68)))),f13(f26(a69,f2(a68)))),f2(a68))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,383,401,443,5903,518,5360,5932,520,557,580,460,553,529,5432,6029,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,5960,251,299,309,337,419,445,5981,452,5277,530,257,332,350,395,484,6129,6131,6133,6135,6137,6139,6141,6143,6146,6149,6151,6153,6156,6158,6166,6168,442,6064,6066,444,433,467,450,5638,552,5550,560,497,5209,5489,5547,5554,5600,5616,5931,6056,466,5867,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,464,564,458,447,5327,5373,5391,5477,5601,5705,5940,5943,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,6014,6017,480,471,515,5656,5659,6043,6071,351,381,382,394,208,600,499,527,5915,496,5481,5735,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,404,479,5467,5540,210,307,341,349,378,225,396,272,305,389,330,376,273,598,5501,392,247,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,219,291,474,584,274,4463,4606,4267,4103,5116,4039,4835,4514,5099,4352,3915,4417,3937,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,5879,4900,4972,4636,5377,5386,5447,4894,4562,4533,4721,4170,4002,4980,5645,5803,4461,4376,4536,4129,4127,4816,4867,4393,4577,4983,4108,4703,4546,4934,4701,3998,4051,4694,4989,5095,5002,5038,5039,4200,3909,4250,4892,5577,5885,4733,4244,4967,3954,3991,4996,4998,5000,5006,5009,5010,5018,5020,5024,5026,5027,5029,5031,5032,5034,5036,5037,5040,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,5584,4029,4969,5263,5266,5424,5935,4120,4149,4948,5845,5110,4775,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4434,4225,4620,3633,4185,4445,4920,5128,4786,4638,4907,4031,4550,4048,4459,3919,4078,4856,4177,2334,3852,2258,1908,1910,2885,3534,2810,1904,3047,2160,2798,3582,3408,5301,2250,2141,5620,2078,2407,2612,5876,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,5537,3342,3432,3240,1821,2800,1824,1935,2414,2476,3428,3858,1894,1938,1984,2642,3410,1997,1966,2467,2425,5272,2445,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982,1422,689,976,1423,1416,1245,1089,945,1553,1679,923,740,1186,1131,1561,1276,1312,1692,1345,931,1357,1697,926,1021,1360,1072,1541,1166,1087,1428,955,1235,1742,1504,194,172,145,23,8,122,21,116,2,193,173,157,153,7,121,115,3187,1118,1249,764,928,812,792,679,1015,804,782,778,1653,1353,1315,1387,1328,892,1126,1302,1386,1737,1342,1705,202,200,192,188,182,181,167,158,154,152,147,146,134,128,1113,1343,163,132,127,1240,1420,902,831,1020,727,1330,1518,1439,1163,1397])).
% 54.42/54.19 cnf(6199,plain,
% 54.42/54.19 (E(f8(a69,f8(a69,f11(a69,f2(a69),x61991),x61992),x61991),f2(a69))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,383,401,443,5903,518,5360,5932,520,557,580,460,553,529,5432,6029,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,5960,251,299,309,337,419,445,5981,452,5277,530,257,332,350,395,484,6129,6131,6133,6135,6137,6139,6141,6143,6146,6149,6151,6153,6156,6158,6166,6168,442,6064,6066,444,433,467,450,5638,552,5550,560,497,5209,5489,5547,5554,5600,5616,5931,6056,466,5867,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,464,564,458,447,5327,5373,5391,5477,5601,5705,5940,5943,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,6014,6017,480,471,515,5656,5659,6043,6071,351,381,382,394,208,600,499,527,5915,496,5481,5735,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,404,479,5467,5540,210,307,341,349,378,225,396,272,305,389,330,376,273,598,5501,392,247,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,219,291,474,584,274,4463,4606,4267,4103,5116,4039,4835,4514,5099,4352,3915,4417,3937,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,5879,4900,4972,4642,4636,5377,5386,5447,4894,4562,4533,4721,4170,4002,4363,4980,5645,5803,4461,4376,4536,4129,4127,4816,4867,4393,4577,4983,4108,4703,4546,4934,4701,3998,4051,4694,4989,5095,5002,5038,5039,4200,3909,4250,4892,5577,5885,4733,4244,4967,3954,3991,4996,4998,5000,5006,5009,5010,5018,5020,5024,5026,5027,5029,5031,5032,5034,5036,5037,5040,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,5584,4029,4969,5263,5266,5424,5935,4120,4149,4948,5845,5110,4775,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4434,4225,4620,3633,4185,4445,4920,5128,4786,4638,4907,4031,4550,4048,4459,3919,4078,4856,4177,2334,3852,2258,1908,1910,2885,3534,2810,1904,3047,2160,2798,3582,3408,5301,2250,2141,5620,2078,2407,2612,5876,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,5537,3342,3432,3240,1821,2800,1824,1935,2414,2476,3428,3858,1894,1938,1984,2642,3410,1997,1966,2344,2467,2425,5272,2445,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982,1422,689,976,1423,1416,1245,1089,945,1553,1679,923,740,1186,1131,1561,1276,1312,1692,1345,931,1357,1697,926,1021,1360,1072,1541,1166,1087,1428,955,1235,1742,1504,194,172,145,23,8,122,21,116,2,193,173,157,153,7,121,115,3187,1118,1249,764,928,812,792,679,1015,804,782,778,1653,1353,1315,1387,1328,892,1126,1302,1386,1737,1342,1705,202,200,192,188,182,181,167,158,154,152,147,146,134,128,1113,1343,163,132,127,1240,1420,902,831,1020,727,1330,1518,1439,1163,1397,696,1515,978,879])).
% 54.42/54.19 cnf(6204,plain,
% 54.42/54.19 (~P10(a68,f11(a68,x62041,f11(a68,f7(a68,f9(a68,x62041)),f3(a68))),f2(a68))),
% 54.42/54.19 inference(rename_variables,[],[2808])).
% 54.42/54.19 cnf(6211,plain,
% 54.42/54.19 (P8(f11(a69,f53(f53(f10(a69),f8(a69,f11(a69,a78,f3(a69)),f11(a69,a78,f3(a69)))),x62111),a1))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,383,401,443,5903,518,5360,5932,520,524,557,580,460,553,529,5432,6029,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,5960,251,299,309,337,419,445,5981,452,5277,530,257,332,350,395,484,6129,6131,6133,6135,6137,6139,6141,6143,6146,6149,6151,6153,6156,6158,6166,6168,6170,442,6064,6066,444,433,467,450,5638,552,5550,560,497,5209,5489,5547,5554,5600,5616,5931,6056,466,5867,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,464,564,458,447,5327,5373,5391,5477,5601,5705,5940,5943,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,6014,6017,480,471,515,5656,5659,6043,6071,351,381,382,394,208,600,499,527,5915,496,5481,5735,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,404,479,5467,5540,210,307,341,349,378,225,396,272,305,389,330,376,273,598,5501,392,247,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,219,291,474,584,274,4463,4606,4267,4103,5116,4039,4835,4514,5099,4352,3915,4417,3937,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,5879,4900,4972,4642,4636,5377,5386,5447,4894,4562,4533,4721,4170,4002,4363,4980,5645,5803,4461,4376,4536,4129,4127,4816,4867,4393,4577,4983,4108,4703,4546,4934,4701,3998,4051,4694,4989,5095,5002,5038,5039,4200,3909,4250,4892,5577,5885,4733,4244,4967,3954,3991,4996,4998,5000,5006,5009,5010,5018,5020,5024,5026,5027,5029,5031,5032,5034,5036,5037,5040,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,5584,4029,4969,5263,5266,5424,5935,4120,4149,4948,5845,5110,4775,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4434,4225,4620,3633,4185,4445,4920,5128,4786,4638,4907,4031,4550,3194,4048,4459,3919,4078,4856,4177,2334,3852,2258,1908,1910,2885,3534,2810,1904,3047,2160,2808,6204,2798,3582,3408,5301,2250,2141,5620,2078,2407,2612,5876,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,5537,3342,3432,3240,1821,2800,1824,1935,2414,2476,3428,3858,1894,1938,1984,2642,3410,1997,1966,2344,2467,2425,5272,2445,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982,1422,689,976,1423,1416,1245,1089,945,1553,1679,923,740,1186,1131,1561,1276,1312,1692,1345,931,1357,1697,926,1021,1360,1072,1541,1166,1087,1428,955,1235,1742,1504,194,172,145,23,8,122,21,116,2,193,173,157,153,7,121,115,3187,1118,1249,764,928,812,792,679,1015,804,782,778,1653,1353,1315,1387,1328,892,1126,1302,1386,1737,1342,1705,202,200,192,188,182,181,167,158,154,152,147,146,134,128,1113,1343,163,132,127,1240,1420,902,831,1020,727,1330,1518,1439,1163,1397,696,1515,978,879,1271,1471,1469,143,203])).
% 54.42/54.19 cnf(6212,plain,
% 54.42/54.19 (E(f11(a69,x62121,x62122),f11(a69,x62122,x62121))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6214,plain,
% 54.42/54.19 (E(f11(a69,x62141,x62142),f11(a69,x62142,x62141))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6216,plain,
% 54.42/54.19 (E(f11(a69,x62161,x62162),f11(a69,x62162,x62161))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6218,plain,
% 54.42/54.19 (E(f11(a69,x62181,x62182),f11(a69,x62182,x62181))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6220,plain,
% 54.42/54.19 (E(f11(a69,x62201,x62202),f11(a69,x62202,x62201))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6222,plain,
% 54.42/54.19 (E(f11(a69,x62221,x62222),f11(a69,x62222,x62221))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6224,plain,
% 54.42/54.19 (E(f11(a69,x62241,x62242),f11(a69,x62242,x62241))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6226,plain,
% 54.42/54.19 (E(f11(a69,x62261,x62262),f11(a69,x62262,x62261))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6228,plain,
% 54.42/54.19 (E(f11(a69,x62281,x62282),f11(a69,x62282,x62281))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6230,plain,
% 54.42/54.19 (E(f11(a69,x62301,x62302),f11(a69,x62302,x62301))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6232,plain,
% 54.42/54.19 (E(f11(a69,x62321,x62322),f11(a69,x62322,x62321))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6234,plain,
% 54.42/54.19 (E(f11(a69,x62341,x62342),f11(a69,x62342,x62341))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6236,plain,
% 54.42/54.19 (E(f11(a69,x62361,x62362),f11(a69,x62362,x62361))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6238,plain,
% 54.42/54.19 (E(f11(a69,x62381,x62382),f11(a69,x62382,x62381))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6239,plain,
% 54.42/54.19 (P70(f11(a69,f72(a1),f53(f53(f10(a69),f8(a69,f2(a69),f2(a69))),x62391)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,383,401,443,5903,518,5360,5932,520,524,557,580,460,553,529,5432,6029,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,5960,251,299,309,337,419,445,5981,452,5277,530,257,332,350,395,484,6129,6131,6133,6135,6137,6139,6141,6143,6146,6149,6151,6153,6156,6158,6166,6168,6170,6212,6214,6216,6218,6220,6222,6224,6226,6228,6230,6232,6234,6236,6238,442,6064,6066,444,433,467,450,5638,552,5550,560,497,5209,5489,5547,5554,5600,5616,5931,6056,466,5867,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,464,564,458,447,5327,5373,5391,5477,5601,5705,5940,5943,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,6014,6017,480,471,515,5656,5659,6043,6071,351,381,382,394,208,600,499,527,5915,496,5481,5735,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,404,479,5467,5540,210,307,341,349,378,225,396,272,305,389,330,376,273,598,5501,392,247,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,219,291,474,584,274,4463,4606,4267,4103,5116,4039,4835,4514,5099,4352,3915,4417,3937,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,5879,4900,4972,4642,4636,5377,5386,5447,4894,4562,4533,4721,4170,4002,4363,4980,5645,5803,4461,4376,4536,4129,4127,4816,4867,4393,4577,4983,4108,4703,4546,4934,4701,3998,4051,4694,4989,5095,5001,5002,5015,5017,5038,5039,4200,3909,4250,4892,5577,5885,4733,4244,4967,3954,3991,4996,4997,4998,4999,5000,5003,5004,5005,5006,5007,5008,5009,5010,5011,5012,5013,5014,5018,5020,5024,5026,5027,5029,5031,5032,5034,5036,5037,5040,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,5584,4029,4969,5263,5266,5424,5935,4120,4149,4948,5845,5110,4775,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4434,4225,4620,3633,4185,4445,4920,5128,4786,4638,4907,4031,4550,3194,4048,4459,3919,4078,4856,4177,2334,3852,2258,1908,1910,2885,3534,2810,1904,3047,2160,2808,6204,2798,3582,3408,5301,2250,2141,5620,2078,2407,2612,5876,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,5537,3342,3432,3240,1821,2800,1824,1935,2414,2476,3428,3858,1894,1938,1984,2642,3410,1997,1966,2344,2467,2425,5272,2445,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982,1422,689,976,1423,1416,1245,1089,945,1553,1679,923,740,1186,1131,1561,1276,1312,1692,1345,931,1357,1697,926,1021,1360,1072,1541,1166,1087,1428,955,1235,1742,1504,194,172,145,23,8,122,21,116,2,193,173,157,153,7,121,115,3187,1118,1249,764,928,812,792,679,1015,804,782,778,1653,1353,1315,1387,1328,892,1126,1302,1386,1737,1342,1705,202,200,192,188,182,181,167,158,154,152,147,146,134,128,1113,1343,163,132,127,1240,1420,902,831,1020,727,1330,1518,1439,1163,1397,696,1515,978,879,1271,1471,1469,143,203,201,199,195,191,190,189,185,183,178,177,176,175,174,168])).
% 54.42/54.19 cnf(6240,plain,
% 54.42/54.19 (E(f11(a69,x62401,x62402),f11(a69,x62402,x62401))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6242,plain,
% 54.42/54.19 (E(f11(a69,x62421,x62422),f11(a69,x62422,x62421))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6244,plain,
% 54.42/54.19 (E(f11(a69,x62441,x62442),f11(a69,x62442,x62441))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6246,plain,
% 54.42/54.19 (E(f11(a69,x62461,x62462),f11(a69,x62462,x62461))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6248,plain,
% 54.42/54.19 (E(f11(a69,x62481,x62482),f11(a69,x62482,x62481))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6249,plain,
% 54.42/54.19 (P63(f11(a69,a69,f53(f53(f10(a69),f8(a69,x62491,x62491)),x62492)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,383,401,443,5903,518,5360,5932,520,524,557,580,460,553,529,5432,6029,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,5960,251,299,309,337,419,445,5981,452,5277,530,257,332,350,395,484,6129,6131,6133,6135,6137,6139,6141,6143,6146,6149,6151,6153,6156,6158,6166,6168,6170,6212,6214,6216,6218,6220,6222,6224,6226,6228,6230,6232,6234,6236,6238,6240,6242,6244,6246,6248,442,6064,6066,444,433,467,450,5638,552,5550,560,497,5209,5489,5547,5554,5600,5616,5931,6056,466,5867,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,464,564,458,447,5327,5373,5391,5477,5601,5705,5940,5943,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,6014,6017,480,471,515,5656,5659,6043,6071,351,381,382,394,208,600,499,527,5915,496,5481,5735,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,404,479,5467,5540,210,307,341,349,378,225,396,272,305,389,330,376,273,598,5501,392,247,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,219,291,474,584,274,4463,4606,4267,4103,5116,4039,4835,4514,5099,4352,3915,4417,3937,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,5879,4900,4972,4642,4636,5377,5386,5447,4894,4562,4533,4721,4170,4002,4363,4980,5645,5803,4461,4376,4536,4129,4127,4816,4867,4393,4577,4983,4108,4703,4546,4934,4701,3998,4051,4694,4989,5095,5001,5002,5015,5017,5038,5039,4200,3909,4250,4892,5577,5885,4733,4244,4967,3954,3991,4996,4997,4998,4999,5000,5003,5004,5005,5006,5007,5008,5009,5010,5011,5012,5013,5014,5018,5019,5020,5021,5023,5024,5026,5027,5028,5029,5031,5032,5034,5036,5037,5040,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,5584,4029,4969,5263,5266,5424,5935,4120,4149,4948,5845,5110,4775,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4434,4225,4620,3633,4185,4445,4920,5128,4786,4638,4907,4031,4550,3194,4048,4459,3919,4078,4856,4177,2334,3852,2258,1908,1910,2885,3534,2810,1904,3047,2160,2808,6204,2798,3582,3408,5301,2250,2141,5620,2078,2407,2612,5876,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,5537,3342,3432,3240,1821,2800,1824,1935,2414,2476,3428,3858,1894,1938,1984,2642,3410,1997,1966,2344,2467,2425,5272,2445,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982,1422,689,976,1423,1416,1245,1089,945,1553,1679,923,740,1186,1131,1561,1276,1312,1692,1345,931,1357,1697,926,1021,1360,1072,1541,1166,1087,1428,955,1235,1742,1504,194,172,145,23,8,122,21,116,2,193,173,157,153,7,121,115,3187,1118,1249,764,928,812,792,679,1015,804,782,778,1653,1353,1315,1387,1328,892,1126,1302,1386,1737,1342,1705,202,200,192,188,182,181,167,158,154,152,147,146,134,128,1113,1343,163,132,127,1240,1420,902,831,1020,727,1330,1518,1439,1163,1397,696,1515,978,879,1271,1471,1469,143,203,201,199,195,191,190,189,185,183,178,177,176,175,174,168,166,161,159,151,150])).
% 54.42/54.19 cnf(6250,plain,
% 54.42/54.19 (E(f11(a69,x62501,x62502),f11(a69,x62502,x62501))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6252,plain,
% 54.42/54.19 (E(f11(a69,x62521,x62522),f11(a69,x62522,x62521))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6254,plain,
% 54.42/54.19 (E(f11(a69,x62541,x62542),f11(a69,x62542,x62541))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6256,plain,
% 54.42/54.19 (E(f11(a69,x62561,x62562),f11(a69,x62562,x62561))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6258,plain,
% 54.42/54.19 (E(f11(a69,x62581,x62582),f11(a69,x62582,x62581))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6260,plain,
% 54.42/54.19 (E(f11(a69,x62601,x62602),f11(a69,x62602,x62601))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6264,plain,
% 54.42/54.19 (E(f11(a69,x62641,x62642),f11(a69,x62642,x62641))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6266,plain,
% 54.42/54.19 (E(f11(a69,x62661,x62662),f11(a69,x62662,x62661))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6267,plain,
% 54.42/54.19 (P59(f11(a69,f72(a1),f53(f53(f10(a69),f8(a69,f2(a69),f2(a69))),x62671)))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,383,401,443,5903,518,5360,5932,520,524,557,580,460,553,529,5432,6029,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,5960,251,299,309,337,419,445,5981,452,5277,530,257,332,350,395,484,6129,6131,6133,6135,6137,6139,6141,6143,6146,6149,6151,6153,6156,6158,6166,6168,6170,6212,6214,6216,6218,6220,6222,6224,6226,6228,6230,6232,6234,6236,6238,6240,6242,6244,6246,6248,6250,6252,6254,6256,6258,6260,6264,6266,442,6064,6066,444,433,467,450,5638,552,5550,560,497,5209,5489,5547,5554,5600,5616,5931,6056,466,5867,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,464,564,458,447,5327,5373,5391,5477,5601,5705,5940,5943,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,6014,6017,480,471,515,5656,5659,6043,6071,351,381,382,394,208,600,499,527,5915,496,5481,5735,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,404,479,5467,5540,210,307,341,349,378,225,396,272,305,389,330,376,273,598,5501,392,247,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,219,291,474,584,274,4463,4606,4267,4103,5116,4039,4835,4514,5099,4352,3915,4417,3937,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,5879,4900,4972,4642,4636,5377,5386,5447,4894,4562,4533,4721,4170,4002,4363,4980,5645,5803,4461,4376,4536,4129,4127,4816,4867,4393,4577,4983,4108,4703,4546,4934,4701,3998,4051,4694,4989,5095,5001,5002,5015,5017,5025,5038,5039,4200,3909,4250,4892,5577,5885,4733,4244,4967,3954,3991,4996,4997,4998,4999,5000,5003,5004,5005,5006,5007,5008,5009,5010,5011,5012,5013,5014,5016,5018,5019,5020,5021,5023,5024,5026,5027,5028,5029,5030,5031,5032,5033,5034,5035,5036,5037,5040,5041,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,5584,4029,4969,5263,5266,5424,5935,4120,4149,4948,5845,5110,4775,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4434,4225,4620,3633,4185,4445,4920,5128,4786,4638,4907,4031,4550,3194,4048,4459,3919,4078,4856,4177,2334,3852,2258,1908,1910,2885,3534,2810,1904,3047,2160,2808,6204,2798,3582,3408,5301,2250,2141,5620,2078,2407,2612,5876,2412,2063,3444,3832,1880,2973,1827,5336,2790,2431,5284,5537,3342,3432,3240,1821,2800,1824,1935,2414,2476,3428,3858,1894,1938,1984,2642,3410,1997,1966,2344,2467,2425,5272,2445,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982,1422,689,976,1423,1416,1245,1089,945,1553,1679,923,740,1186,1131,1561,1276,1312,1692,1345,931,1357,1697,926,1021,1360,1072,1541,1166,1087,1428,955,1235,1742,1504,194,172,145,23,8,122,21,116,2,193,173,157,153,7,121,115,3187,1118,1249,764,928,812,792,679,1015,804,782,778,1653,1353,1315,1387,1328,892,1126,1302,1386,1737,1342,1705,202,200,192,188,182,181,167,158,154,152,147,146,134,128,1113,1343,163,132,127,1240,1420,902,831,1020,727,1330,1518,1439,1163,1397,696,1515,978,879,1271,1471,1469,143,203,201,199,195,191,190,189,185,183,178,177,176,175,174,168,166,161,159,151,150,149,141,138,135,118,1059,197,171,155])).
% 54.42/54.19 cnf(6268,plain,
% 54.42/54.19 (E(f11(a69,x62681,x62682),f11(a69,x62682,x62681))),
% 54.42/54.19 inference(rename_variables,[],[484])).
% 54.42/54.19 cnf(6279,plain,
% 54.42/54.19 (E(f53(f53(f20(a70),f7(a70,f9(a70,f2(a70)))),f4(a1,f11(a68,f2(f72(a1)),f3(a68)))),f2(a70))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,383,401,443,5903,518,5360,5932,520,524,557,580,460,553,529,5432,6029,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,5960,251,299,309,337,419,445,5981,452,5277,530,257,332,350,395,484,6129,6131,6133,6135,6137,6139,6141,6143,6146,6149,6151,6153,6156,6158,6166,6168,6170,6212,6214,6216,6218,6220,6222,6224,6226,6228,6230,6232,6234,6236,6238,6240,6242,6244,6246,6248,6250,6252,6254,6256,6258,6260,6264,6266,6268,442,6064,6066,444,433,467,450,5638,552,5550,560,497,5209,5489,5547,5554,5600,5616,5931,6056,466,5867,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,464,564,458,447,5327,5373,5391,5477,5601,5705,5940,5943,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,6014,6017,480,471,515,5656,5659,6043,6071,351,381,382,394,208,600,499,527,5915,496,5481,5735,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,404,479,5467,5540,210,307,341,349,378,225,396,272,305,389,330,376,273,598,5501,392,247,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,219,291,474,584,274,4463,4606,4267,4103,5116,4039,4835,4514,5099,4352,3915,4417,3937,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,5879,4900,4972,4642,4636,5377,5386,5447,4894,4562,4533,4721,4170,4002,4363,4980,5645,5803,4461,4376,4536,4129,4127,4816,4867,4393,4577,4983,4108,4703,4546,4934,4701,3998,4051,4694,4989,5095,5001,5002,5015,5017,5025,5038,5039,4200,3909,4250,4892,5577,5885,4733,4244,4967,3954,3991,4996,4997,4998,4999,5000,5003,5004,5005,5006,5007,5008,5009,5010,5011,5012,5013,5014,5016,5018,5019,5020,5021,5023,5024,5026,5027,5028,5029,5030,5031,5032,5033,5034,5035,5036,5037,5040,5041,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,5666,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,5584,4029,4969,5263,5266,5424,5935,4120,4149,4948,5845,5110,4775,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4434,4225,4620,3633,4185,4445,4920,5128,4786,4638,4907,4031,4550,3194,4048,4459,3919,4078,4856,4177,2334,3852,2258,1908,1910,2885,3534,2810,1904,3047,2160,2808,6204,2798,3582,3408,5301,2250,2141,5620,2078,2407,2612,5876,2412,2063,3444,3832,1880,2973,1827,5336,2790,2033,2431,5284,5537,3342,3432,3240,1821,2800,1824,1935,2414,2476,3428,3858,1894,1938,5675,1984,2642,3410,1997,1966,2344,2467,2425,5272,2445,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982,1422,689,976,1423,1416,1245,1089,945,1553,1679,923,740,1186,1131,1561,1276,1312,1692,1345,931,1357,1697,926,1021,1360,1072,1541,1166,1087,1428,955,1235,1742,1504,194,172,145,23,8,122,21,116,2,193,173,157,153,7,121,115,3187,1118,1249,764,928,812,792,679,1015,804,782,778,1653,1353,1315,1387,1328,892,1126,1302,1386,1737,1342,1705,202,200,192,188,182,181,167,158,154,152,147,146,134,128,1113,1343,163,132,127,1240,1420,902,831,1020,727,1330,1518,1439,1163,1397,696,1515,978,879,1271,1471,1469,143,203,201,199,195,191,190,189,185,183,178,177,176,175,174,168,166,161,159,151,150,149,141,138,135,118,1059,197,171,155,1211,1534,1526,133,1035])).
% 54.42/54.19 cnf(6289,plain,
% 54.42/54.19 (~P10(a68,f8(a68,f3(a68),f7(a68,f8(a68,f2(a68),f3(a68)))),f2(a68))),
% 54.42/54.19 inference(scs_inference,[],[205,267,290,323,339,359,363,263,418,595,383,401,443,5903,518,5360,5932,520,524,557,580,460,553,529,5432,6029,509,1811,5289,5437,5457,5474,5653,5695,5754,5770,5782,5960,6044,251,299,309,337,419,445,5981,452,5277,530,257,332,350,395,484,6129,6131,6133,6135,6137,6139,6141,6143,6146,6149,6151,6153,6156,6158,6166,6168,6170,6212,6214,6216,6218,6220,6222,6224,6226,6228,6230,6232,6234,6236,6238,6240,6242,6244,6246,6248,6250,6252,6254,6256,6258,6260,6264,6266,6268,442,6064,6066,444,433,467,450,5638,552,5550,560,497,5209,5489,5547,5554,5600,5616,5931,6056,466,5867,493,5227,5232,5239,5281,5304,5339,5352,5376,5509,5559,5597,464,564,458,447,5327,5373,5391,5477,5601,5705,5940,5943,6119,448,5912,226,232,236,240,244,249,270,288,294,599,5280,5320,5900,6014,6017,480,471,515,5656,5659,6043,6071,351,381,382,394,208,600,499,527,5915,496,5481,5735,569,296,311,321,405,463,5378,5387,5448,592,5562,495,5357,5571,5619,212,314,379,510,449,5192,5368,5464,397,229,407,578,432,329,384,391,601,602,5512,246,516,306,390,586,324,404,479,5467,5540,210,307,341,349,378,225,396,272,305,389,330,376,273,598,5501,392,247,265,377,403,473,224,388,223,214,275,266,328,387,213,348,292,504,219,291,474,584,274,4463,4606,4267,4103,5116,4039,4835,4514,5099,4352,3915,4417,3937,4145,4474,4476,4829,4472,4465,4328,5142,5144,5146,5148,5150,5152,5154,5156,5158,5160,5162,5164,5166,5168,5170,5172,5174,5176,5178,5180,5182,5184,5186,5188,5873,5879,4900,4972,4642,4636,5377,5386,5447,4894,4562,4533,4721,4170,4002,4363,4980,5645,5803,4461,4376,4536,4129,4127,4816,4867,4393,4577,4983,4108,4703,4546,4934,4701,3998,4051,4694,4989,5095,5001,5002,5015,5017,5025,5038,5039,4200,3909,4250,4892,5577,5885,4733,4244,4967,3954,3991,4996,4997,4998,4999,5000,5003,5004,5005,5006,5007,5008,5009,5010,5011,5012,5013,5014,5016,5018,5019,5020,5021,5023,5024,5026,5027,5028,5029,5030,5031,5032,5033,5034,5035,5036,5037,5040,5041,4994,4478,4803,4034,4768,4161,4563,4485,4946,4320,4699,5574,4541,5246,5666,4990,5101,5208,5351,5427,4880,5342,4211,4682,5553,5606,4697,5529,5824,4527,4404,5193,5383,5623,4876,5307,4883,5390,5418,5584,4029,4969,5263,5266,5424,5935,4120,4149,4948,5845,5110,4775,4447,4191,4207,4954,4209,4590,2296,2338,2348,2356,3940,5069,4748,4137,4347,4905,4434,4225,4620,3633,4185,4445,4920,5128,4786,4638,4907,4031,4550,3194,4048,4459,3919,4078,4856,4177,2334,3852,2258,2449,1908,1910,2885,3534,2810,1904,3047,2160,2808,6204,2798,3582,3408,5301,2250,2141,5620,2078,2407,2612,5876,2412,2063,3444,3832,1880,2973,1827,5336,2790,2033,2431,5284,5537,3342,3432,3240,1821,2800,1824,1935,2414,2476,3428,3858,1894,1938,5675,1984,2642,3410,1997,1966,2344,2467,2425,5272,2445,2695,2368,3236,2396,1975,2358,2306,4995,196,187,186,184,180,179,169,165,164,162,156,148,142,140,139,137,136,126,125,123,119,117,113,980,1594,1165,1771,1631,1158,1208,1172,1704,1390,715,713,1399,1175,1142,1401,1685,1552,1682,959,1684,1680,1319,1707,1597,678,1799,1795,1793,1413,1317,835,1115,1178,969,968,1267,1683,1573,1675,1648,1577,1567,1748,1060,1324,1495,1012,1438,1382,1029,710,708,1790,838,1578,1570,907,1548,901,1362,1349,1257,1255,160,1097,1537,786,1782,1753,1233,1674,1373,1732,1563,1588,850,1272,1073,1308,1443,918,1591,1677,1569,1562,1550,1549,991,749,1351,873,1109,1421,1388,1610,1304,1037,1559,1649,1361,905,912,1011,914,1311,946,1238,1556,1676,1663,1581,1028,768,1237,1468,1344,975,1701,1560,1323,1096,1604,1785,1642,1008,1425,1681,1234,1427,1452,1446,1273,1447,1180,1432,1440,1305,1450,1699,1291,1207,1125,1497,1209,1789,1412,1429,1463,911,1200,1198,1214,1787,1760,1752,1032,1258,1003,872,856,1160,1498,1210,1292,677,1437,693,861,1706,1791,1780,1786,1725,1467,979,888,1595,977,818,958,721,1215,862,1763,1796,1309,1354,1485,1478,1765,1632,1702,924,1363,1517,1419,1098,1074,1130,1436,1223,1236,965,1726,1461,1582,997,863,1253,1065,1066,1269,1104,1102,1101,1540,1194,754,1406,1551,1274,898,706,1183,1147,1784,1646,1462,1700,743,1093,915,1500,1202,1171,1139,916,1643,1647,1455,1013,799,1608,1459,1457,1454,1185,723,1085,766,1203,1026,1155,1602,1295,1196,1325,1184,1173,922,1662,932,1451,1442,1441,1153,1143,1558,925,1424,1239,1426,1557,1378,1170,124,1756,1077,120,1611,114,899,716,1761,1751,1580,1766,1747,1775,1391,1496,3,1606,1225,1783,1350,1064,1088,1383,947,933,1762,1754,1232,1124,1572,1571,845,1596,712,1781,1794,1555,1375,996,851,1251,982,1422,689,976,1423,1416,1245,1089,945,1553,1679,923,740,1186,1131,1561,1276,1312,1692,1345,931,1357,1697,926,1021,1360,1072,1541,1166,1087,1428,955,1235,1742,1504,194,172,145,23,8,122,21,116,2,193,173,157,153,7,121,115,3187,1118,1249,764,928,812,792,679,1015,804,782,778,1653,1353,1315,1387,1328,892,1126,1302,1386,1737,1342,1705,202,200,192,188,182,181,167,158,154,152,147,146,134,128,1113,1343,163,132,127,1240,1420,902,831,1020,727,1330,1518,1439,1163,1397,696,1515,978,879,1271,1471,1469,143,203,201,199,195,191,190,189,185,183,178,177,176,175,174,168,166,161,159,151,150,149,141,138,135,118,1059,197,171,155,1211,1534,1526,133,1035,1043,1703,1730])).
% 54.42/54.19 cnf(6320,plain,
% 54.42/54.19 (P10(a70,x63201,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x63201,f9(a70,f2(a70)))),f3(a70))),f3(a70)))),
% 54.42/54.19 inference(rename_variables,[],[5921])).
% 54.42/54.19 cnf(6322,plain,
% 54.42/54.19 (P9(a70,x63221,x63221)),
% 54.42/54.19 inference(rename_variables,[],[449])).
% 54.42/54.19 cnf(6326,plain,
% 54.42/54.19 (~E(f11(a70,x63261,f3(a70)),x63261)),
% 54.42/54.19 inference(rename_variables,[],[4533])).
% 54.42/54.19 cnf(6339,plain,
% 54.42/54.19 (P72(f11(a69,f2(a69),a70))),
% 54.42/54.19 inference(scs_inference,[],[290,302,401,254,535,288,211,449,305,273,265,455,5252,5721,6013,5744,4991,5921,2254,2083,4404,4533,4434,3428,1187,1594,974,1474,1296,1576,1575,196,186,179])).
% 54.42/54.19 cnf(6340,plain,
% 54.42/54.19 (E(x63401,f11(a69,f2(a69),x63401))),
% 54.42/54.19 inference(rename_variables,[],[6013])).
% 54.42/54.19 cnf(6344,plain,
% 54.42/54.19 (E(x63441,f53(f53(f10(a70),f11(a70,f53(f53(f10(a70),f8(a70,x63442,x63442)),x63443),x63441)),f3(a70)))),
% 54.42/54.19 inference(rename_variables,[],[5721])).
% 54.42/54.19 cnf(6347,plain,
% 54.42/54.19 (P26(f53(f53(f10(a70),f11(a70,f53(f53(f10(a70),f8(a70,x63471,x63471)),x63472),a68)),f3(a70)))),
% 54.42/54.19 inference(scs_inference,[],[290,323,302,401,227,254,350,535,288,418,211,449,305,273,376,265,455,266,5252,5721,6344,6013,6340,5744,4991,5921,2254,2083,4404,4533,4434,3428,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126])).
% 54.42/54.19 cnf(6348,plain,
% 54.42/54.19 (E(x63481,f53(f53(f10(a70),f11(a70,f53(f53(f10(a70),f8(a70,x63482,x63482)),x63483),x63481)),f3(a70)))),
% 54.42/54.19 inference(rename_variables,[],[5721])).
% 54.42/54.19 cnf(6351,plain,
% 54.42/54.19 (P10(a70,f8(a70,f11(a70,f8(a70,x63511,f3(a70)),f3(a70)),f3(a70)),x63511)),
% 54.42/54.19 inference(rename_variables,[],[5335])).
% 54.42/54.19 cnf(6352,plain,
% 54.42/54.19 (P10(a70,x63521,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x63521,f9(a70,f2(a70)))),f3(a70))),f3(a70)))),
% 54.42/54.19 inference(rename_variables,[],[5921])).
% 54.42/54.19 cnf(6353,plain,
% 54.42/54.19 (P9(a70,x63531,x63531)),
% 54.42/54.19 inference(rename_variables,[],[449])).
% 54.42/54.19 cnf(6356,plain,
% 54.42/54.19 (~P14(a69,f53(f10(a69),f13(f11(a68,f26(a69,f2(a69)),f3(a68)))))),
% 54.42/54.19 inference(scs_inference,[],[205,290,323,302,401,227,254,350,535,288,463,418,211,449,6322,228,404,305,273,376,265,455,266,4750,5252,5721,6344,6348,6013,6340,5744,4991,5921,6320,5335,2254,2083,3300,4404,4533,4434,3428,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208])).
% 54.42/54.19 cnf(6357,plain,
% 54.42/54.19 (P9(a69,f2(a69),x63571)),
% 54.42/54.19 inference(rename_variables,[],[463])).
% 54.42/54.19 cnf(6360,plain,
% 54.42/54.19 (P9(a68,f2(a68),f53(f53(f10(a68),x63601),x63601))),
% 54.42/54.19 inference(rename_variables,[],[2651])).
% 54.42/54.19 cnf(6363,plain,
% 54.42/54.19 (~E(f11(a70,x63631,f3(a70)),x63631)),
% 54.42/54.19 inference(rename_variables,[],[4533])).
% 54.42/54.19 cnf(6368,plain,
% 54.42/54.19 (P10(a70,x63681,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x63681,f9(a70,f2(a70)))),f3(a70))),f3(a70)))),
% 54.42/54.19 inference(rename_variables,[],[5921])).
% 54.42/54.19 cnf(6370,plain,
% 54.42/54.19 (P10(a70,f9(a70,f3(a70)),f9(a70,f9(a70,f3(a70))))),
% 54.42/54.19 inference(scs_inference,[],[205,310,290,323,302,401,227,254,350,535,288,463,418,211,449,6322,228,404,305,273,376,473,265,275,455,266,291,5471,4750,5252,5721,6344,6348,6013,6340,4625,5744,5493,5469,4991,5921,6320,6352,5335,2254,2083,3300,4404,4533,6326,4434,2651,2139,3428,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959])).
% 54.42/54.19 cnf(6386,plain,
% 54.42/54.19 (E(x63861,f11(a69,f2(a69),x63861))),
% 54.42/54.19 inference(rename_variables,[],[6013])).
% 54.42/54.19 cnf(6388,plain,
% 54.42/54.19 (E(x63881,f11(a69,f2(a69),x63881))),
% 54.42/54.19 inference(rename_variables,[],[6013])).
% 54.42/54.19 cnf(6393,plain,
% 54.42/54.19 (P9(a68,f2(a68),f26(a69,x63931))),
% 54.42/54.19 inference(rename_variables,[],[479])).
% 54.42/54.19 cnf(6395,plain,
% 54.42/54.19 (P48(f11(a69,f2(a69),a68))),
% 54.42/54.19 inference(scs_inference,[],[205,310,290,323,338,264,268,302,401,227,254,350,484,535,288,564,463,418,211,208,449,6322,228,479,210,404,307,305,349,273,376,473,265,403,214,275,455,292,266,291,5471,4750,5252,5721,6344,6348,6013,6340,6386,6388,4625,6279,5744,5493,5469,5161,5163,5171,4991,5762,5921,6320,6352,5335,5599,5270,2254,2083,3300,4328,4541,4404,4533,6326,4434,2651,2139,3428,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125])).
% 54.42/54.19 cnf(6401,plain,
% 54.42/54.19 (P9(a68,x64011,x64011)),
% 54.42/54.19 inference(rename_variables,[],[447])).
% 54.42/54.19 cnf(6406,plain,
% 54.42/54.19 (P9(a69,x64061,f11(a69,x64061,x64062))),
% 54.42/54.19 inference(rename_variables,[],[496])).
% 54.42/54.19 cnf(6417,plain,
% 54.42/54.19 (E(f11(a69,x64171,f11(a69,x64172,x64173)),f11(a69,x64172,f11(a69,x64171,x64173)))),
% 54.42/54.19 inference(rename_variables,[],[518])).
% 54.42/54.19 cnf(6436,plain,
% 54.42/54.19 (P9(a69,x64361,f53(f53(f10(a69),x64361),f53(f53(f10(a69),x64361),x64361)))),
% 54.42/54.19 inference(rename_variables,[],[527])).
% 54.42/54.19 cnf(6437,plain,
% 54.42/54.19 (P9(a69,f2(a69),x64371)),
% 54.42/54.19 inference(rename_variables,[],[463])).
% 54.42/54.19 cnf(6440,plain,
% 54.42/54.19 (P9(a69,x64401,f53(f53(f10(a69),x64401),x64401))),
% 54.42/54.19 inference(rename_variables,[],[493])).
% 54.42/54.19 cnf(6445,plain,
% 54.42/54.19 (P9(a68,x64451,x64451)),
% 54.42/54.19 inference(rename_variables,[],[447])).
% 54.42/54.19 cnf(6446,plain,
% 54.42/54.19 (P10(a68,x64461,f26(a69,f53(f53(f10(a69),f11(a69,f24(x64461),f3(a69))),f11(a69,f24(x64461),f3(a69)))))),
% 54.42/54.19 inference(rename_variables,[],[5558])).
% 54.42/54.19 cnf(6451,plain,
% 54.42/54.19 (P10(a68,x64511,f11(a68,f26(a69,f24(x64511)),f3(a68)))),
% 54.42/54.19 inference(rename_variables,[],[515])).
% 54.42/54.19 cnf(6453,plain,
% 54.42/54.19 (~E(f11(a68,x64531,f11(a69,f9(a68,x64531),f4(a1,a73))),f2(a68))),
% 54.42/54.19 inference(scs_inference,[],[205,310,290,323,338,264,268,298,302,401,518,500,529,227,254,350,484,535,493,447,6401,236,240,244,288,515,381,527,496,564,232,463,6357,418,211,208,449,6322,228,479,210,516,404,307,305,349,273,376,1809,473,265,224,272,403,214,275,455,219,292,266,291,5471,4508,6022,5291,4750,5473,5262,5252,5721,6344,6348,5590,6013,6340,6386,6388,4625,5503,6279,5744,5493,5469,5161,5163,5171,6187,4991,5762,5921,6320,6352,5488,5495,5868,5558,5335,5108,5599,5270,3681,3673,2254,2083,3300,4328,4541,4404,4533,6326,4434,2651,2139,3428,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912])).
% 54.42/54.19 cnf(6454,plain,
% 54.42/54.19 (~E(f11(a69,x64541,f4(a1,a73)),x64541)),
% 54.42/54.19 inference(rename_variables,[],[5590])).
% 54.42/54.19 cnf(6457,plain,
% 54.42/54.19 (P9(a69,x64571,f53(f53(f10(a69),x64571),f53(f53(f10(a69),x64571),x64571)))),
% 54.42/54.19 inference(rename_variables,[],[527])).
% 54.42/54.19 cnf(6471,plain,
% 54.42/54.19 (P9(a68,f27(a1,x64711),f11(a68,f27(a1,f11(a1,x64711,x64712)),f27(a1,x64712)))),
% 54.42/54.19 inference(rename_variables,[],[552])).
% 54.42/54.19 cnf(6472,plain,
% 54.42/54.19 (P10(a68,x64721,f11(a68,f26(a69,f24(x64721)),f3(a68)))),
% 54.42/54.19 inference(rename_variables,[],[515])).
% 54.42/54.19 cnf(6473,plain,
% 54.42/54.19 (P9(a68,x64731,x64731)),
% 54.42/54.19 inference(rename_variables,[],[447])).
% 54.42/54.19 cnf(6478,plain,
% 54.42/54.19 (P10(a68,x64781,f11(a68,f26(a69,f24(x64781)),f3(a68)))),
% 54.42/54.19 inference(rename_variables,[],[515])).
% 54.42/54.19 cnf(6482,plain,
% 54.42/54.19 (P9(a71,f8(a69,f11(a69,x64821,x64822),f11(a69,x64821,x64823)),f8(a69,x64822,x64823))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,290,323,338,264,268,298,302,401,518,500,529,227,254,406,350,484,544,552,535,493,447,6401,6445,236,240,244,288,515,6451,6472,381,527,6436,496,564,232,463,6357,418,211,208,449,6322,228,585,479,210,516,404,384,307,305,349,273,376,396,1809,473,265,377,224,272,403,214,328,275,455,219,292,266,291,5471,4508,6022,5291,4750,5473,5262,5252,5721,6344,6348,5590,6013,6340,6386,6388,4625,5503,6279,5744,5493,5469,5161,5163,5171,6187,4991,5508,5762,5921,6320,6352,5488,5495,5868,5558,6446,5335,5108,5794,5599,5270,3681,3673,2254,2083,3300,4328,4541,4404,4533,6326,4434,2651,2139,3428,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768])).
% 54.42/54.19 cnf(6484,plain,
% 54.42/54.19 (~P10(a69,f53(f53(f10(a69),x64841),x64841),x64841)),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,290,323,338,264,268,298,302,401,518,500,529,227,254,406,350,484,544,552,535,493,6440,447,6401,6445,236,240,244,288,515,6451,6472,381,527,6436,496,564,589,232,463,6357,418,211,208,449,6322,228,585,479,210,516,404,384,307,305,349,273,376,396,1809,473,265,377,224,272,403,214,328,275,455,219,292,266,291,5471,4508,6022,5291,4750,5473,5262,5252,5721,6344,6348,5590,6013,6340,6386,6388,4625,5503,6279,5744,5493,5469,5161,5163,5171,6187,4991,5508,5762,5921,6320,6352,5488,5495,5868,5558,6446,5335,5108,5794,5599,5270,3681,3673,2254,2083,3300,4328,4541,4404,4533,6326,4434,2651,2139,3428,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234])).
% 54.42/54.19 cnf(6485,plain,
% 54.42/54.19 (~P10(a69,x64851,x64851)),
% 54.42/54.19 inference(rename_variables,[],[589])).
% 54.42/54.19 cnf(6488,plain,
% 54.42/54.19 (P10(a68,x64881,f11(a68,f26(a69,f24(x64881)),f3(a68)))),
% 54.42/54.19 inference(rename_variables,[],[515])).
% 54.42/54.19 cnf(6494,plain,
% 54.42/54.19 (P9(a69,x64941,f11(a69,x64941,x64942))),
% 54.42/54.19 inference(rename_variables,[],[496])).
% 54.42/54.19 cnf(6497,plain,
% 54.42/54.19 (~P10(a68,f9(a68,f53(f53(f10(a68),f8(a68,x64971,x64971)),x64972)),f2(a68))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,290,323,338,264,268,298,302,401,518,500,529,227,254,406,350,484,544,552,535,493,6440,447,6401,6445,236,240,244,288,515,6451,6472,6478,381,527,6436,496,6406,564,589,232,463,6357,418,211,208,449,6322,228,585,479,210,516,404,384,307,305,349,273,376,396,1809,473,389,265,377,224,272,403,214,328,275,455,219,292,266,291,5471,4508,6022,5291,4750,5473,5262,5252,5721,6344,6348,5590,6013,6340,6386,6388,4625,5503,5446,6279,5744,5493,5469,5161,5163,5171,6187,4991,5508,5199,5762,5841,5921,6320,6352,5488,5495,5868,5558,6446,5583,5335,5108,5794,5599,5270,3681,3673,2254,2083,3300,4328,4541,4404,4533,6326,4434,2651,2139,3428,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323])).
% 54.42/54.19 cnf(6505,plain,
% 54.42/54.19 (P9(a70,x65051,x65051)),
% 54.42/54.19 inference(rename_variables,[],[449])).
% 54.42/54.19 cnf(6510,plain,
% 54.42/54.19 (P10(a68,x65101,f11(a68,f26(a69,f24(x65101)),f3(a68)))),
% 54.42/54.19 inference(rename_variables,[],[515])).
% 54.42/54.19 cnf(6514,plain,
% 54.42/54.19 (P9(f72(a68),f2(f72(a68)),f53(f53(f10(f72(a68)),f53(f53(f10(f72(a68)),f7(f72(a68),f2(f72(a68)))),f7(f72(a68),f2(f72(a68))))),f53(f53(f10(f72(a68)),f7(f72(a68),f2(f72(a68)))),f7(f72(a68),f2(f72(a68))))))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,290,323,338,264,268,298,302,401,518,500,529,227,254,406,350,484,544,552,535,493,6440,447,6401,6445,236,240,244,288,515,6451,6472,6478,6488,381,527,6436,496,6406,564,589,232,463,6357,418,211,208,449,6322,6353,6505,228,585,391,479,210,379,516,404,384,307,305,349,273,376,396,1809,473,389,265,377,224,272,403,214,223,328,275,455,219,292,266,291,5471,4508,6022,5291,4750,5533,5473,5262,5252,5721,6344,6348,5590,6013,6340,6386,6388,4625,5503,5524,5446,6279,5744,5493,5469,5161,5163,5171,6187,4991,5508,5199,5762,5841,5921,6320,6352,5488,5907,5495,5868,5558,6446,5583,5335,5108,5794,5980,5625,5599,5270,3681,3673,2254,2083,3300,4328,4541,4404,2370,4533,6326,4434,2651,2139,3428,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448])).
% 54.42/54.19 cnf(6516,plain,
% 54.42/54.19 (P10(a70,f8(a70,x65161,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,f7(a70,f8(a70,x65162,x65161)),f9(a70,f2(a70)))),f3(a70))),f3(a70))),x65162)),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,290,323,338,264,268,298,302,401,518,500,529,227,254,406,350,484,544,552,535,493,6440,447,6401,6445,236,240,244,288,515,6451,6472,6478,6488,381,527,6436,496,6406,564,589,232,463,6357,418,211,208,449,6322,6353,6505,228,585,391,479,210,379,516,404,384,307,305,349,273,376,396,1809,473,389,265,377,224,272,403,214,223,328,275,455,219,292,266,291,5471,4508,6022,5291,4750,5533,5473,5262,5252,5721,6344,6348,5590,6013,6340,6386,6388,4625,5503,5524,5446,6279,5744,5493,5469,5161,5163,5171,6187,4991,5508,5199,5762,5841,5921,6320,6352,6368,5488,5907,5495,5868,5558,6446,5583,5335,5108,5794,5980,5625,5599,5270,3681,3673,2254,2083,3300,4328,4541,4404,2370,4533,6326,4434,2651,2139,3428,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707])).
% 54.42/54.19 cnf(6517,plain,
% 54.42/54.19 (P10(a70,x65171,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x65171,f9(a70,f2(a70)))),f3(a70))),f3(a70)))),
% 54.42/54.19 inference(rename_variables,[],[5921])).
% 54.42/54.19 cnf(6520,plain,
% 54.42/54.19 (P9(a68,x65201,x65201)),
% 54.42/54.19 inference(rename_variables,[],[447])).
% 54.42/54.19 cnf(6530,plain,
% 54.42/54.19 (P9(a68,x65301,x65301)),
% 54.42/54.19 inference(rename_variables,[],[447])).
% 54.42/54.19 cnf(6533,plain,
% 54.42/54.19 (P9(a68,x65331,f26(a69,f13(x65331)))),
% 54.42/54.19 inference(rename_variables,[],[480])).
% 54.42/54.19 cnf(6536,plain,
% 54.42/54.19 (P9(a69,x65361,f11(a69,x65361,x65362))),
% 54.42/54.19 inference(rename_variables,[],[496])).
% 54.42/54.19 cnf(6537,plain,
% 54.42/54.19 (P9(a69,x65371,f53(f53(f10(a69),x65371),x65371))),
% 54.42/54.19 inference(rename_variables,[],[493])).
% 54.42/54.19 cnf(6543,plain,
% 54.42/54.19 (P10(a70,f11(a70,x65431,f2(a70)),f11(a70,x65431,f3(a70)))),
% 54.42/54.19 inference(rename_variables,[],[4483])).
% 54.42/54.19 cnf(6545,plain,
% 54.42/54.19 (~P10(f72(a68),f2(f72(a68)),f53(f53(f10(f72(a68)),f53(f53(f10(a70),f2(f72(a68))),f3(a70))),f53(f53(f10(a70),f2(f72(a68))),f3(a70))))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,290,323,338,264,268,298,302,401,518,500,529,227,254,406,350,484,544,552,535,493,6440,6537,447,6401,6445,6473,6520,236,240,244,288,480,515,6451,6472,6478,6488,381,527,6436,6457,496,6406,6494,564,589,232,463,6357,418,211,208,449,6322,6353,6505,599,228,585,391,479,210,379,516,404,384,307,305,349,273,376,396,1809,473,389,265,377,224,272,403,214,223,328,275,348,455,219,292,266,291,5471,4508,6022,5291,4750,5533,5473,5262,5252,5721,6344,6348,5590,6454,6013,6340,6386,6388,4625,5503,5524,5446,6279,5744,6046,5493,5469,5161,5163,5171,6187,4991,5508,5199,5762,5841,5921,6320,6352,6368,5488,5907,5495,5868,5558,6446,5583,5335,5108,4483,5794,5968,5980,5625,5599,5270,3681,3673,2254,2083,3300,4328,4541,4404,2296,2370,4533,6326,4434,2651,2139,3428,1938,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467])).
% 54.42/54.19 cnf(6549,plain,
% 54.42/54.19 (P9(a68,f26(a69,f8(a69,x65491,f11(a69,x65491,x65492))),f2(a68))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,290,323,338,264,268,298,302,401,518,500,529,227,254,406,350,484,544,552,535,493,6440,6537,447,6401,6445,6473,6520,236,240,244,288,480,515,6451,6472,6478,6488,381,527,6436,6457,496,6406,6494,564,589,232,463,6357,418,211,208,449,6322,6353,6505,599,228,585,391,479,210,379,516,404,384,307,305,349,273,376,396,1809,473,389,265,377,224,272,403,214,223,328,275,348,455,219,292,266,291,5471,6024,4508,6022,5291,4750,5533,5473,5262,5252,5721,6344,6348,5590,6454,6013,6340,6386,6388,4625,5503,5524,5446,6279,5744,6046,5493,5469,5161,5163,5171,6187,4991,5508,5199,5762,5841,5921,6320,6352,6368,5488,5907,5495,5868,5558,6446,5583,5335,5108,4483,5794,5968,5980,5625,5599,5270,3681,3673,2254,2083,3300,4328,4541,4404,2296,2370,4533,6326,4434,2651,2139,3428,1938,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835])).
% 54.42/54.19 cnf(6551,plain,
% 54.42/54.19 (~P9(a69,f53(f53(f10(a69),f4(a1,a73)),f4(a1,a73)),f11(a69,a78,f3(a69)))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,290,323,338,264,268,298,302,401,518,500,529,227,254,406,350,484,544,552,535,493,6440,6537,447,6401,6445,6473,6520,236,240,244,288,480,515,6451,6472,6478,6488,381,527,6436,6457,496,6406,6494,564,589,232,463,6357,418,211,208,449,6322,6353,6505,599,228,585,391,479,210,379,516,404,384,307,305,349,273,376,396,1809,473,389,265,377,224,272,403,214,223,328,275,348,455,219,292,266,291,5471,6024,4508,6022,5291,4750,5533,5473,5262,5252,5721,6344,6348,5590,6454,6013,6340,6386,6388,4625,5503,5524,5446,6279,5744,6046,5493,5469,5161,5163,5171,6187,4991,5508,5199,5762,5841,5921,6320,6352,6368,5488,5907,5495,5868,5558,6446,5583,5335,5108,4483,5794,5968,5980,5625,5599,5270,3681,3673,2254,2083,3300,4328,4541,4404,2296,2370,4533,6326,4434,2651,2139,3428,1938,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210])).
% 54.42/54.19 cnf(6552,plain,
% 54.42/54.19 (P9(a69,x65521,f53(f53(f10(a69),x65521),x65521))),
% 54.42/54.19 inference(rename_variables,[],[493])).
% 54.42/54.19 cnf(6556,plain,
% 54.42/54.19 (~E(f11(a1,x65561,f53(f14(a1,a80),f2(a1))),x65561)),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,290,323,338,264,268,298,302,401,518,500,529,227,254,406,350,484,544,552,535,493,6440,6537,447,6401,6445,6473,6520,236,240,244,288,480,515,6451,6472,6478,6488,381,527,6436,6457,496,6406,6494,564,589,232,463,6357,418,211,208,449,6322,6353,6505,248,510,599,228,585,391,479,210,379,516,404,384,307,305,349,587,273,376,396,1809,473,389,265,377,224,272,403,214,223,328,275,348,455,219,292,266,291,5471,6024,4508,6022,5291,4750,5533,5473,5262,5252,5721,6344,6348,5590,6454,6013,6340,6386,6388,4625,5503,5524,5446,6279,5744,6046,5493,5469,5161,5163,5171,6187,4991,5508,5199,5762,5841,5921,6320,6352,6368,5488,5907,5495,5868,5558,6446,5583,5335,5108,4483,5794,5968,5980,5625,5599,5270,3681,3673,2254,2083,3300,4328,4541,4404,2296,2370,4533,6326,4434,2651,2139,3428,1938,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911])).
% 54.42/54.19 cnf(6561,plain,
% 54.42/54.19 (P9(a69,x65611,f11(a69,x65612,x65611))),
% 54.42/54.19 inference(rename_variables,[],[495])).
% 54.42/54.19 cnf(6564,plain,
% 54.42/54.19 (P10(a68,x65641,f11(a68,f26(a69,f24(x65641)),f3(a68)))),
% 54.42/54.19 inference(rename_variables,[],[515])).
% 54.42/54.19 cnf(6570,plain,
% 54.42/54.19 (P9(a68,f9(a68,f27(a1,x65701)),f27(a1,x65701))),
% 54.42/54.19 inference(rename_variables,[],[494])).
% 54.42/54.19 cnf(6574,plain,
% 54.42/54.19 (~P9(a70,f11(a70,f53(f53(f10(a70),f11(a70,f2(a70),f3(a70))),f53(f53(f10(a70),f53(f53(f10(a70),f3(a70)),f3(a70))),f53(f53(f10(a70),f3(a70)),f3(a70)))),f11(a70,f2(a70),f2(a70))),f11(a70,f53(f53(f10(a70),f11(a70,f2(a70),f3(a70))),f2(a70)),f11(a70,f2(a70),f2(a70))))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,521,290,323,338,264,268,298,302,401,518,500,529,227,254,406,350,484,494,544,555,552,535,493,6440,6537,6552,447,6401,6445,6473,6520,236,240,244,288,480,515,6451,6472,6478,6488,6510,381,527,6436,6457,496,6406,6494,564,589,232,463,6357,495,418,211,208,449,6322,6353,6505,248,271,510,599,228,585,391,479,210,379,516,404,384,378,307,305,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,328,275,348,455,219,292,266,291,5471,6024,4508,6022,5291,4750,5533,5473,5262,5252,5721,6344,6348,5590,6454,6013,6340,6386,6388,4625,5503,6191,5524,5446,6279,5744,6046,5493,5469,5161,5163,5171,6187,4991,5508,5199,5762,5841,5921,6320,6352,6368,5488,5907,5495,5868,5558,6446,5583,5335,5108,4483,6543,5794,5968,5980,5625,5599,5270,3681,3673,2254,2083,3300,4328,4541,4404,2296,2370,4533,6326,4434,2651,3240,2139,3428,1938,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765])).
% 54.42/54.19 cnf(6579,plain,
% 54.42/54.19 (~P9(a69,f11(a69,x65791,f4(a1,a73)),f11(a69,a78,f3(a69)))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,521,290,323,338,264,268,298,302,401,518,500,529,227,254,406,350,484,494,544,555,552,535,493,6440,6537,6552,447,6401,6445,6473,6520,236,240,244,288,480,515,6451,6472,6478,6488,6510,381,527,6436,6457,496,6406,6494,564,589,232,463,6357,495,418,211,208,449,6322,6353,6505,248,271,510,599,228,585,391,479,210,379,516,404,384,378,307,305,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,328,275,348,455,219,292,266,291,5471,6024,4508,6022,5291,4750,5533,5473,5262,5252,5721,6344,6348,5590,6454,5670,6013,6340,6386,6388,4625,5503,6191,5524,5446,6279,5744,6046,5493,5469,5161,5163,5171,6187,4991,5508,5199,5762,5841,5921,6320,6352,6368,5488,5907,5495,5868,5558,6446,5583,5335,5108,4483,6543,5794,5968,5980,5625,5599,5270,3681,3673,2254,2083,3300,4328,4541,4404,2296,2370,4533,6326,4434,2651,3240,2139,3428,1938,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349])).
% 54.42/54.19 cnf(6584,plain,
% 54.42/54.19 (~E(f11(a70,x65841,f11(a70,f11(a70,f3(a70),x65842),x65842)),x65841)),
% 54.42/54.19 inference(rename_variables,[],[5564])).
% 54.42/54.19 cnf(6586,plain,
% 54.42/54.19 (P10(a68,f53(f53(f10(a68),f2(a68)),f2(a68)),f53(f53(f10(a68),f11(a68,f26(a69,f24(f2(a68))),f3(a68))),f11(a68,f26(a69,f24(f2(a68))),f3(a68))))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,521,290,323,338,264,268,298,302,401,518,500,529,227,254,406,350,484,494,544,555,552,535,493,6440,6537,6552,447,6401,6445,6473,6520,6530,236,240,244,288,480,515,6451,6472,6478,6488,6510,6564,381,527,6436,6457,496,6406,6494,564,589,232,463,6357,495,418,211,208,449,6322,6353,6505,248,271,510,599,228,585,391,479,210,379,516,404,384,378,313,330,307,305,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,328,275,348,455,219,292,266,291,5471,6024,4508,6022,5291,4750,5533,5473,5262,5252,5721,6344,6348,5590,6454,5564,5670,6013,6340,6386,6388,4625,5503,6191,5524,5446,6279,5744,6046,5493,5469,5161,5163,5171,6187,4991,5508,5199,5762,5841,5921,6320,6352,6368,5488,5907,5495,5868,5558,6446,5583,5335,5108,4483,6543,5794,5968,5980,5625,5599,5270,3681,3673,2254,2083,3300,4328,4541,4404,2296,2370,4533,6326,4434,2651,3240,2139,3428,1938,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702])).
% 54.42/54.19 cnf(6587,plain,
% 54.42/54.19 (P10(a68,x65871,f11(a68,f26(a69,f24(x65871)),f3(a68)))),
% 54.42/54.19 inference(rename_variables,[],[515])).
% 54.42/54.19 cnf(6588,plain,
% 54.42/54.19 (P10(a68,x65881,f11(a68,f26(a69,f24(x65881)),f3(a68)))),
% 54.42/54.19 inference(rename_variables,[],[515])).
% 54.42/54.19 cnf(6589,plain,
% 54.42/54.19 (P9(a68,x65891,x65891)),
% 54.42/54.19 inference(rename_variables,[],[447])).
% 54.42/54.19 cnf(6591,plain,
% 54.42/54.19 (~E(f53(f53(f10(a69),f4(a1,a73)),f4(a1,a73)),f2(a69))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,521,290,323,338,264,268,298,302,401,518,500,529,227,254,406,350,484,494,544,555,552,535,493,6440,6537,6552,447,6401,6445,6473,6520,6530,236,240,244,288,480,515,6451,6472,6478,6488,6510,6564,381,527,6436,6457,496,6406,6494,564,589,232,463,6357,495,418,211,208,449,6322,6353,6505,248,271,510,599,228,585,391,479,210,379,516,404,384,378,313,330,307,305,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,328,275,348,455,219,292,266,291,5471,6024,4508,6022,5291,4750,5533,5473,5262,5252,5721,6344,6348,5590,6454,5564,5670,6013,6340,6386,6388,4625,5503,6191,5524,5446,6279,5744,6046,5493,5469,5161,5163,5171,6187,4991,5508,5199,5762,5841,5921,6320,6352,6368,5488,5907,5495,5868,5558,6446,5583,5335,5108,4483,6543,5794,5968,5980,5625,5599,5270,3681,3673,2254,2083,3300,4328,4541,4404,2296,2370,4533,6326,4434,2651,3240,2139,3428,1938,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863])).
% 54.42/54.19 cnf(6597,plain,
% 54.42/54.19 (P9(f72(a68),f9(f72(a68),f7(f72(a68),f2(f72(a68)))),f9(f72(a68),f2(f72(a68))))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,521,290,323,338,264,268,298,302,401,518,500,529,227,254,406,350,484,494,544,555,552,535,493,6440,6537,6552,447,6401,6445,6473,6520,6530,236,240,244,288,480,515,6451,6472,6478,6488,6510,6564,381,527,6436,6457,496,6406,6494,564,589,232,463,6357,495,418,211,208,449,6322,6353,6505,248,271,510,599,228,585,391,479,210,379,516,404,384,378,313,330,307,305,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,328,275,348,455,219,292,266,291,5471,6024,4508,6022,5291,4750,5533,5473,5262,5252,5721,6344,6348,5590,6454,5564,5670,6013,6340,6386,6388,4625,5503,6191,5524,5446,6279,5744,6046,5493,4975,5469,5161,5163,5171,6187,4991,5508,5199,5762,5841,5921,6320,6352,6368,5488,5907,5495,5868,5558,6446,5583,5335,5108,4483,6543,5794,5968,5980,5625,5599,5270,3681,3673,2254,2083,3300,4328,4541,4404,2296,2370,4533,6326,4434,2651,3240,2139,3428,1938,2298,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194])).
% 54.42/54.19 cnf(6599,plain,
% 54.42/54.19 (P9(a68,f9(a68,f53(f53(f10(a68),x65991),x65991)),f9(a68,f9(a68,f53(f53(f10(a68),x65992),x65992))))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,521,290,323,338,264,268,298,302,401,518,500,529,227,254,406,350,484,494,544,555,552,535,493,6440,6537,6552,447,6401,6445,6473,6520,6530,236,240,244,288,480,515,6451,6472,6478,6488,6510,6564,381,527,6436,6457,496,6406,6494,564,589,232,463,6357,495,418,211,208,449,6322,6353,6505,248,271,510,599,228,585,391,479,210,379,516,404,384,378,313,330,307,305,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,328,275,348,455,219,387,292,266,291,5471,6024,4508,6022,5291,4750,5533,5473,5262,5252,5721,6344,6348,5590,6454,5564,5670,6013,6340,6386,6388,4625,5503,6191,5524,5446,6279,5744,6046,5493,4975,5469,5161,5163,5171,6187,4991,5508,5199,5762,5841,5921,6320,6352,6368,5488,5907,5495,5868,5558,6446,5583,5335,5108,4483,6543,5794,5968,5980,5625,5599,5270,3681,3673,2254,2083,3300,4328,4541,4404,2296,2370,4533,6326,4434,2651,3240,2139,3428,1938,2298,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163])).
% 54.42/54.19 cnf(6617,plain,
% 54.42/54.19 (P10(a69,f53(f53(f10(a69),f11(a69,a78,f3(a69))),f11(a69,a78,f3(a69))),f11(a69,x66171,f53(f53(f10(a69),f4(a1,a73)),f4(a1,a73))))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,511,521,583,290,323,338,264,268,298,302,401,518,557,500,529,227,254,406,350,484,494,544,555,552,535,493,6440,6537,6552,447,6401,6445,6473,6520,6530,236,240,244,288,480,515,6451,6472,6478,6488,6510,6564,381,527,6436,6457,496,6406,6494,6536,564,589,232,251,463,6357,495,418,211,208,449,6322,6353,6505,248,271,510,599,228,585,391,479,210,379,516,404,384,378,313,330,307,305,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,328,275,348,455,219,387,292,266,291,5471,6024,4508,6022,5291,4750,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,5670,6013,6340,6386,6388,4625,5503,6191,5524,5446,6279,5744,6046,5493,4975,5469,5161,5163,5171,6187,5766,4991,5508,5199,5762,5841,5921,6320,6352,6368,5488,5907,5495,5868,5558,6446,5583,5335,5108,4483,6543,5794,5968,5980,5625,5599,5270,3681,3673,2254,2083,3300,4328,4541,4404,2296,2370,4533,6326,4434,2651,3240,2139,3428,1938,2298,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255])).
% 54.42/54.19 cnf(6631,plain,
% 54.42/54.19 (~E(f11(a70,x66311,f11(a70,f11(a70,f3(a70),x66312),x66312)),x66311)),
% 54.42/54.19 inference(rename_variables,[],[5564])).
% 54.42/54.19 cnf(6636,plain,
% 54.42/54.19 (~P10(a69,f53(f53(f10(a69),f11(a69,x66361,x66362)),f11(a69,x66361,x66362)),x66361)),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,511,546,521,583,290,323,338,264,268,298,302,401,518,557,500,529,227,254,406,350,484,494,544,555,552,535,493,6440,6537,6552,447,6401,6445,6473,6520,6530,236,240,244,288,480,515,6451,6472,6478,6488,6510,6564,381,527,6436,6457,496,6406,6494,6536,564,589,232,251,463,6357,495,418,211,600,208,449,6322,6353,6505,248,271,393,510,599,457,228,585,391,479,210,379,516,404,384,378,313,330,307,305,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,328,275,348,455,219,387,292,266,291,5471,6024,4508,6022,5291,4750,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,5670,6013,6340,6386,6388,4625,5503,6191,5524,5446,6279,5744,6046,5493,4975,5469,5709,5161,5163,5171,6187,5766,4991,5508,5199,5762,5841,5921,6320,6352,6368,5488,5907,5495,5868,5558,6446,5583,5335,5108,4483,6543,5794,5968,5980,5625,5599,5270,3681,3673,2254,2083,3300,4328,4541,4404,2296,2370,4533,6326,4786,4434,2651,3240,2139,3428,1938,2298,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238])).
% 54.42/54.19 cnf(6637,plain,
% 54.42/54.19 (P9(a69,x66371,f53(f53(f10(a69),x66371),x66371))),
% 54.42/54.19 inference(rename_variables,[],[493])).
% 54.42/54.19 cnf(6639,plain,
% 54.42/54.19 (~P10(a68,f11(a68,f11(a68,f26(a69,f24(f53(f53(f10(a68),f8(a68,f8(a68,x66391,x66392),f8(a68,x66391,x66392))),x66393))),f3(a68)),x66394),x66394)),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,511,546,521,583,290,323,338,264,268,298,302,401,518,557,500,529,227,254,406,350,484,494,544,555,552,535,493,6440,6537,6552,447,6401,6445,6473,6520,6530,236,240,244,288,480,515,6451,6472,6478,6488,6510,6564,6588,381,527,6436,6457,496,6406,6494,6536,564,589,232,251,463,6357,495,418,211,600,208,449,6322,6353,6505,248,271,393,510,599,457,228,585,391,479,210,379,516,404,384,378,313,330,307,305,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,328,275,348,455,219,387,292,266,291,5471,6024,4508,6022,5291,4750,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,5670,6013,6340,6386,6388,4625,5503,6191,5524,5446,6279,5744,6046,5493,4975,5469,5709,5161,5163,5171,6187,5766,4991,5508,5199,5762,5841,5652,5921,6320,6352,6368,5488,5907,5495,5868,5558,6446,5583,5335,5108,4483,6543,5794,5968,5980,5625,5599,5270,3681,3673,2254,2083,3300,4328,4541,4404,2296,2370,4533,6326,4786,4434,2651,3240,2139,3428,1938,2298,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559])).
% 54.42/54.19 cnf(6640,plain,
% 54.42/54.19 (P10(a68,x66401,f11(a68,f26(a69,f24(x66401)),f3(a68)))),
% 54.42/54.19 inference(rename_variables,[],[515])).
% 54.42/54.19 cnf(6641,plain,
% 54.42/54.19 (~P10(a68,f11(a68,f53(f53(f10(a68),f8(a68,f8(a68,x66411,x66412),f8(a68,x66411,x66412))),x66413),x66414),x66414)),
% 54.42/54.19 inference(rename_variables,[],[5652])).
% 54.42/54.19 cnf(6652,plain,
% 54.42/54.19 (P10(a70,f8(a70,x66521,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x66521,f9(a70,f9(a70,x66522)))),f3(a70))),f3(a70))),x66522)),
% 54.42/54.19 inference(rename_variables,[],[5907])).
% 54.42/54.19 cnf(6665,plain,
% 54.42/54.19 (P9(a68,x66651,f11(a68,f26(a69,f24(x66651)),f3(a68)))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,511,546,521,583,290,323,338,264,268,298,302,401,518,557,500,529,227,254,406,350,484,494,544,555,552,535,493,6440,6537,6552,6637,447,6401,6445,6473,6520,6530,6589,236,240,244,288,480,515,6451,6472,6478,6488,6510,6564,6588,6640,381,527,6436,6457,496,6406,6494,6536,564,589,232,251,463,6357,495,418,211,600,208,449,6322,6353,6505,248,271,393,510,599,457,228,585,391,479,210,379,516,404,384,378,313,330,307,305,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,348,455,219,387,292,266,291,5471,6024,4508,6022,5291,4573,4750,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,5670,6013,6340,6386,6388,4625,5503,6191,5524,5446,6279,5744,6046,5493,4975,5469,5709,5740,5161,5163,5171,6187,5766,4991,5508,5199,5762,5841,5652,5921,6320,6352,6368,5488,5907,5495,5868,5558,6446,5583,5335,5108,4612,4483,6543,5794,5968,5980,5625,5599,5389,5270,3681,3673,2254,2083,3300,2192,3665,4328,4541,4404,2296,2370,4533,6326,4786,4434,2651,3240,2139,3428,1938,2298,2695,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028])).
% 54.42/54.19 cnf(6668,plain,
% 54.42/54.19 (P9(a69,x66681,f53(f53(f10(a69),x66681),x66681))),
% 54.42/54.19 inference(rename_variables,[],[493])).
% 54.42/54.19 cnf(6670,plain,
% 54.42/54.19 (~P10(a68,f11(a68,f53(f53(f10(a68),x66701),x66702),f11(a68,f53(f53(f10(a68),f8(a68,f8(a68,x66703,x66704),f8(a68,x66703,x66704))),x66705),f11(a68,f53(f53(f10(a68),f8(a68,x66706,x66701)),x66702),x66707))),f11(a68,f53(f53(f10(a68),x66706),x66702),x66707))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,511,546,521,583,290,323,338,264,268,298,302,401,518,557,500,529,227,254,406,350,484,494,544,555,552,535,493,6440,6537,6552,6637,447,6401,6445,6473,6520,6530,6589,236,240,244,288,480,515,6451,6472,6478,6488,6510,6564,6588,6640,381,527,6436,6457,496,6406,6494,6536,564,589,232,251,463,6357,495,418,211,600,208,449,6322,6353,6505,248,271,393,510,599,457,228,585,391,479,210,379,516,404,384,378,313,330,307,305,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,348,455,219,387,292,266,291,5471,6024,4508,6022,5291,4573,4750,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,5670,6013,6340,6386,6388,4625,5503,6191,5524,5446,6279,5744,6046,5493,4975,5469,5709,5740,5161,5163,5171,6187,5766,4991,5508,5199,5762,5841,5652,6641,5921,6320,6352,6368,5488,5907,5495,5868,5558,6446,5583,5335,5108,4612,4483,6543,5794,5968,5980,5625,5599,5389,5270,3681,3673,2254,2083,3300,2192,3665,4328,4541,4404,2296,2370,4533,6326,4786,4434,2651,3240,2139,3428,1938,2298,2695,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785])).
% 54.42/54.19 cnf(6671,plain,
% 54.42/54.19 (~P10(a68,f11(a68,f53(f53(f10(a68),f8(a68,f8(a68,x66711,x66712),f8(a68,x66711,x66712))),x66713),x66714),x66714)),
% 54.42/54.19 inference(rename_variables,[],[5652])).
% 54.42/54.19 cnf(6673,plain,
% 54.42/54.19 (~P10(a69,x66731,f8(a69,f2(a69),x66732))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,511,546,521,583,290,323,338,264,268,298,302,401,518,557,500,529,227,254,406,350,484,494,544,555,552,535,493,6440,6537,6552,6637,447,6401,6445,6473,6520,6530,6589,236,240,244,288,480,515,6451,6472,6478,6488,6510,6564,6588,6640,381,497,527,6436,6457,496,6406,6494,6536,564,589,232,251,463,6357,592,495,418,211,600,208,449,6322,6353,6505,248,271,393,510,599,457,228,585,391,479,210,379,516,404,384,378,313,330,307,305,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,348,455,219,387,292,266,291,5471,6024,4508,6022,5291,4573,4750,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,5670,6013,6340,6386,6388,4625,5503,6191,5524,5446,6279,5744,6046,5493,4975,5469,5709,5740,5161,5163,5171,6187,5766,4991,5508,5199,5762,5841,5652,6641,5921,6320,6352,6368,5488,5907,5495,5868,5558,6446,5583,5335,5108,4612,4483,6543,5794,5968,5980,5625,5599,5389,5270,3681,3673,2254,2083,3300,2192,3665,4328,4541,4404,2296,2370,4533,6326,4786,4434,2651,3240,2139,3428,1938,2298,2695,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237])).
% 54.42/54.19 cnf(6674,plain,
% 54.42/54.19 (P9(a69,f8(a69,x66741,x66742),x66741)),
% 54.42/54.19 inference(rename_variables,[],[497])).
% 54.42/54.19 cnf(6687,plain,
% 54.42/54.19 (~E(f27(a1,f53(f14(a1,a80),f2(a1))),f2(a68))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,511,546,521,583,290,323,338,264,268,298,302,401,518,557,500,529,227,254,406,350,484,494,544,555,552,535,493,6440,6537,6552,6637,447,6401,6445,6473,6520,6530,6589,236,240,244,288,480,515,6451,6472,6478,6488,6510,6564,6588,6640,381,497,527,6436,6457,496,6406,6494,6536,564,589,232,251,463,6357,6437,592,495,418,211,600,208,449,6322,6353,6505,248,271,393,510,599,457,228,390,585,391,479,6393,210,379,516,404,384,378,313,330,307,305,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,291,5471,6024,4508,6022,5291,4573,4750,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,5670,6013,6340,6386,6388,4625,5503,6191,5524,5446,6279,5744,6046,5493,4975,5469,5709,5740,5161,5163,5171,6187,5766,4991,5508,5199,5762,5350,5841,5652,6641,5921,6320,6352,6368,5488,5907,5495,5868,5727,5558,6446,5583,5335,5108,4612,4483,6543,5794,5968,5980,5417,5625,5599,5389,5270,3681,3673,2254,2083,3300,1872,2192,3665,4328,4541,4404,2296,2370,4533,6326,4786,4434,2651,3240,2139,3428,1938,2298,2695,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706])).
% 54.42/54.19 cnf(6691,plain,
% 54.42/54.19 (E(f9(a68,f7(a68,f2(a68))),f2(a68))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,511,546,521,583,290,323,338,264,268,298,302,401,518,557,500,529,227,254,406,350,484,494,544,555,552,535,493,6440,6537,6552,6637,447,6401,6445,6473,6520,6530,6589,236,240,244,288,480,515,6451,6472,6478,6488,6510,6564,6588,6640,381,497,527,6436,6457,496,6406,6494,6536,564,589,232,251,463,6357,6437,592,495,418,211,600,208,449,6322,6353,6505,248,271,393,510,599,457,228,390,585,391,479,6393,210,379,516,404,384,378,313,330,307,305,329,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,291,4661,5471,6024,4508,6022,5291,4573,4750,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6013,6340,6386,6388,4625,5802,5503,6191,5524,5446,6267,6279,5744,6046,5493,4975,5469,5709,5740,5161,5163,5171,6187,5766,4991,5508,5199,5762,5350,5841,5652,6641,5921,6320,6352,6368,5488,5907,5495,5868,5727,5558,6446,5583,5335,5108,4612,4483,6543,5794,5968,5980,5417,5625,5599,5389,5270,3681,3673,2254,2083,3300,1872,2192,3665,4328,4541,4404,2296,2370,4533,6326,4786,4434,2651,3240,2139,3428,1938,2298,2695,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723])).
% 54.42/54.19 cnf(6696,plain,
% 54.42/54.19 (P9(a68,x66961,x66961)),
% 54.42/54.19 inference(rename_variables,[],[447])).
% 54.42/54.19 cnf(6703,plain,
% 54.42/54.19 (~P10(a68,x67031,x67031)),
% 54.42/54.19 inference(rename_variables,[],[1811])).
% 54.42/54.19 cnf(6705,plain,
% 54.42/54.19 (E(f8(a69,f11(a69,f2(a69),f2(a69)),x67051),f2(a69))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,511,546,521,583,290,323,338,264,268,298,302,401,518,557,500,529,227,254,406,350,484,494,544,555,552,535,493,6440,6537,6552,6637,447,6401,6445,6473,6520,6530,6589,236,240,244,288,480,471,515,6451,6472,6478,6488,6510,6564,6588,6640,381,497,527,6436,6457,496,6406,6494,6536,564,589,1811,232,251,463,6357,6437,592,495,418,211,600,208,449,6322,6353,6505,248,271,393,510,599,457,228,390,585,391,479,6393,210,379,516,404,384,378,313,330,307,305,329,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,291,274,4661,5471,6024,4508,6022,5291,4573,4750,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6013,6340,6386,6388,4625,5802,5503,6191,5524,5446,6267,6279,5744,6046,5493,4975,5469,5709,5740,5161,5163,5171,6187,6142,6145,6152,6249,5766,4991,5508,5199,6199,5762,5350,5841,5652,6641,5921,6320,6352,6368,5488,5907,5495,5868,5727,5558,6446,5583,5335,5108,4612,4483,6543,5794,5968,5980,5417,5625,5819,5599,5389,5270,3681,3673,2254,2083,3300,1872,2192,3665,4328,4541,4404,2296,2370,2665,4533,6326,6363,4786,4434,2651,3240,2139,3428,1938,2298,2695,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085])).
% 54.42/54.19 cnf(6709,plain,
% 54.42/54.19 (~P9(a68,f26(a69,f4(a1,a73)),f26(a69,f11(a69,a78,f3(a69))))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,511,546,521,583,290,323,338,264,268,298,302,401,518,557,500,529,227,254,406,350,484,494,544,555,552,535,493,6440,6537,6552,6637,447,6401,6445,6473,6520,6530,6589,236,240,244,288,480,471,515,6451,6472,6478,6488,6510,6564,6588,6640,381,497,527,6436,6457,496,6406,6494,6536,564,589,1811,232,251,463,6357,6437,592,495,418,211,600,208,449,6322,6353,6505,248,271,393,510,599,457,228,390,585,391,479,6393,210,379,516,404,384,378,313,330,307,305,329,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,291,274,4661,5471,6024,4508,6022,5291,4573,4750,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6013,6340,6386,6388,4625,5802,5503,6191,5524,5446,6267,6279,5744,6046,5493,4975,5469,5709,5740,5161,5163,5171,6187,6142,6145,6152,6249,5766,4991,5508,5199,6199,5762,5350,5841,5652,6641,5921,6320,6352,6368,5488,5907,5495,5868,5727,5558,6446,5583,5335,5108,4612,4483,6543,5794,5968,5980,5417,5625,5819,5599,5389,5270,3681,3673,2254,2083,3300,1872,2192,3665,4328,4541,4404,2296,2370,2665,4533,6326,6363,4786,4434,2651,3240,2139,3428,1938,2298,2695,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185])).
% 54.42/54.19 cnf(6711,plain,
% 54.42/54.19 (~E(f8(a69,f4(a1,a73),f11(a69,a78,f3(a69))),f2(a69))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,511,546,521,583,290,323,338,264,268,298,302,401,518,557,500,529,227,254,406,350,484,494,544,555,552,535,493,6440,6537,6552,6637,447,6401,6445,6473,6520,6530,6589,236,240,244,288,480,471,515,6451,6472,6478,6488,6510,6564,6588,6640,381,497,527,6436,6457,496,6406,6494,6536,564,589,1811,232,251,463,6357,6437,592,495,418,211,600,208,449,6322,6353,6505,248,271,393,510,599,457,228,390,585,391,479,6393,210,379,516,404,384,378,313,330,307,305,329,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,291,274,4661,5471,6024,4508,6022,5291,4573,4750,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6013,6340,6386,6388,4625,5802,5503,6191,5524,5446,6267,6279,5744,6046,5493,4975,5469,5709,5740,5161,5163,5171,6187,6142,6145,6152,6249,5766,4991,5508,5199,6199,5762,5350,5841,5652,6641,5921,6320,6352,6368,5488,5907,5495,5868,5727,5558,6446,5583,5335,5108,4612,4483,6543,5794,5968,5980,5417,5625,5819,5599,5389,5270,3681,3673,2254,2083,3300,1872,2192,3665,4328,4541,4404,2296,2370,2665,4533,6326,6363,4786,4434,2651,3240,2139,3428,1938,2298,2695,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013])).
% 54.42/54.19 cnf(6715,plain,
% 54.42/54.19 (~P9(a70,f8(a70,f11(a70,f11(a70,x67151,f3(a70)),f11(a70,x67152,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x67152,f2(a70))),f3(a70))),f3(a70)))),f3(a70)),x67151)),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,511,546,521,583,290,323,338,264,268,298,302,401,518,557,500,529,227,254,406,350,484,494,544,555,552,535,493,6440,6537,6552,6637,447,6401,6445,6473,6520,6530,6589,236,240,244,288,480,471,515,6451,6472,6478,6488,6510,6564,6588,6640,381,497,527,6436,6457,496,6406,6494,6536,564,589,1811,232,251,463,6357,6437,592,495,418,211,600,208,449,6322,6353,6505,248,271,393,510,599,457,228,390,585,391,479,6393,210,379,516,404,384,378,313,330,307,305,329,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,291,274,4661,5471,6024,4508,6022,5291,4573,4750,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6013,6340,6386,6388,4625,5802,5503,6191,5524,5446,6267,6279,5744,6046,5493,4975,5469,5709,5740,5161,5163,5171,6187,6142,6145,6152,6249,5766,4991,5508,5199,6199,5762,5350,5841,5652,6641,5921,6320,6352,6368,5488,5907,5495,5868,5727,5558,6446,5583,6031,5335,5108,4612,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,5389,5270,3681,3673,2254,2083,3300,1872,2192,3665,4328,4541,4404,2296,2370,2665,4533,6326,6363,4786,4434,2651,3240,2139,3428,1938,2298,2695,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273])).
% 54.42/54.19 cnf(6716,plain,
% 54.42/54.19 (~P10(a70,f8(a70,f11(a70,x67161,f11(a70,x67162,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x67162,f2(a70))),f3(a70))),f3(a70)))),f3(a70)),x67161)),
% 54.42/54.19 inference(rename_variables,[],[6031])).
% 54.42/54.19 cnf(6724,plain,
% 54.42/54.19 (P10(a68,f9(a68,f11(a68,f26(a69,f24(f2(a68))),f3(a68))),f2(a68))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,511,546,521,583,290,323,338,264,268,298,302,401,518,557,500,529,227,254,406,350,484,494,544,555,552,535,493,6440,6537,6552,6637,447,6401,6445,6473,6520,6530,6589,236,240,244,288,480,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6587,381,497,527,6436,6457,496,6406,6494,6536,564,589,1811,232,251,463,6357,6437,592,495,418,211,600,208,449,6322,6353,6505,248,271,393,510,599,457,228,390,585,391,479,6393,210,379,516,404,384,378,313,330,307,305,329,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,291,274,4661,5471,6024,4508,6022,5291,4573,4750,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6013,6340,6386,6388,4625,5802,5503,6191,5524,5446,6267,6279,5744,6046,5493,4975,5469,5709,5740,5161,5163,5171,6187,6142,6145,6152,6249,5766,4991,5508,5199,6199,5762,5350,5841,5652,6641,5921,6320,6352,6368,5488,5907,5495,5868,5727,5558,6446,5583,6031,5335,5108,4612,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4401,3681,3673,2254,2083,3300,1872,2192,3665,4328,4541,4404,2296,2370,2665,4533,6326,6363,4786,4434,2651,3240,2139,3428,1938,2298,2695,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153])).
% 54.42/54.19 cnf(6725,plain,
% 54.42/54.19 (P10(a68,x67251,f11(a68,f26(a69,f24(x67251)),f3(a68)))),
% 54.42/54.19 inference(rename_variables,[],[515])).
% 54.42/54.19 cnf(6728,plain,
% 54.42/54.19 (P10(a68,x67281,f11(a68,f26(a69,f24(x67281)),f3(a68)))),
% 54.42/54.19 inference(rename_variables,[],[515])).
% 54.42/54.19 cnf(6730,plain,
% 54.42/54.19 (~P10(a69,f11(a69,f4(a1,a73),x67301),f11(a69,a78,f3(a69)))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,511,546,521,583,290,323,338,264,268,298,302,401,518,557,500,529,227,254,406,350,484,494,544,555,552,535,493,6440,6537,6552,6637,447,6401,6445,6473,6520,6530,6589,236,240,244,288,480,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6587,6725,381,497,527,6436,6457,496,6406,6494,6536,564,589,1811,232,251,463,6357,6437,592,495,418,211,600,208,449,6322,6353,6505,248,271,393,510,599,457,228,390,585,391,479,6393,210,379,516,404,384,378,313,330,307,305,329,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,274,4661,5471,6024,4508,6022,5291,4573,4750,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6013,6340,6386,6388,4625,5802,5503,6191,5524,5446,6267,6279,5744,6046,5493,4975,5469,5709,5740,5161,5163,5171,6187,6142,6145,6152,6249,5766,4991,5508,5199,6199,5762,5350,5841,5652,6641,5921,6320,6352,6368,5488,5907,5495,5868,5727,5558,6446,5583,6031,5335,5108,4612,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4401,3681,3673,2254,2083,3300,1872,2192,3665,4328,4541,4404,2296,2370,2665,4533,6326,6363,4786,4434,2651,3240,2139,3428,1938,2298,2695,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239])).
% 54.42/54.19 cnf(6731,plain,
% 54.42/54.19 (~P10(a69,f11(a69,x67311,x67312),x67311)),
% 54.42/54.19 inference(rename_variables,[],[600])).
% 54.42/54.19 cnf(6735,plain,
% 54.42/54.19 (~P9(a68,f11(a68,f11(a68,f26(a69,f24(f53(f53(f10(a68),f8(a68,f8(a68,x67351,x67352),f8(a68,x67351,x67352))),x67353))),f3(a68)),x67354),x67354)),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,511,546,521,583,290,323,338,264,268,298,302,401,518,557,500,529,227,254,406,350,484,494,544,555,552,535,493,6440,6537,6552,6637,447,6401,6445,6473,6520,6530,6589,236,240,244,288,480,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6587,6725,6728,381,497,527,6436,6457,496,6406,6494,6536,564,589,1811,232,251,463,6357,6437,592,495,418,211,600,208,449,6322,6353,6505,248,271,393,510,599,457,228,390,585,391,479,6393,210,379,516,404,384,378,313,330,307,305,329,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,274,4661,5471,6024,4508,6022,5291,4573,4750,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6013,6340,6386,6388,4625,5802,5503,6191,5524,5446,6267,6279,5744,6046,5493,4975,5469,5709,5740,5161,5163,5171,6187,6142,6145,6152,6249,5766,4991,5508,5199,6199,5762,5350,5841,5652,6641,6671,5921,6320,6352,6368,5488,5907,6652,5495,5868,5727,5558,6446,5583,6031,5335,5108,4612,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4401,3681,3673,2254,2083,3300,1872,2192,3665,4328,4541,4404,2296,2370,2665,4533,6326,6363,4786,4434,2651,3240,2139,3428,1938,2298,2695,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557])).
% 54.42/54.19 cnf(6736,plain,
% 54.42/54.19 (P10(a68,x67361,f11(a68,f26(a69,f24(x67361)),f3(a68)))),
% 54.42/54.19 inference(rename_variables,[],[515])).
% 54.42/54.19 cnf(6742,plain,
% 54.42/54.19 (P10(a68,x67421,f11(a68,f26(a69,f24(x67421)),f3(a68)))),
% 54.42/54.19 inference(rename_variables,[],[515])).
% 54.42/54.19 cnf(6744,plain,
% 54.42/54.19 (~P9(a68,f2(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69))))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,511,546,521,583,290,323,338,264,268,298,302,401,518,557,500,529,227,254,406,350,484,494,544,555,552,535,493,6440,6537,6552,6637,447,6401,6445,6473,6520,6530,6589,6696,236,240,244,288,480,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6587,6725,6728,381,497,527,6436,6457,496,6406,6494,6536,564,589,1811,232,251,463,6357,6437,592,495,418,211,600,208,449,6322,6353,6505,248,271,393,510,599,457,296,228,390,585,391,479,6393,210,379,516,404,384,378,313,330,307,305,329,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,274,4661,5471,6024,4508,6022,5291,4573,4750,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6013,6340,6386,6388,4625,5802,5503,6191,5524,5446,6267,6279,5744,6046,5493,4975,5469,5709,5740,5161,5163,5171,6187,6142,6145,6152,6249,5766,4991,5508,5199,6199,4037,5762,5350,5841,5652,6641,6671,5921,6320,6352,6368,5488,5907,6652,5495,5868,5727,5558,6446,5583,6031,5335,5108,4612,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4401,3681,3673,2254,2083,3300,1872,2192,3665,4328,4541,4404,2296,2370,2665,4533,6326,6363,4786,4434,2651,2431,3240,2139,3428,1938,2298,2695,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699])).
% 54.42/54.19 cnf(6746,plain,
% 54.42/54.19 (P9(a68,x67461,x67461)),
% 54.42/54.19 inference(rename_variables,[],[447])).
% 54.42/54.19 cnf(6748,plain,
% 54.42/54.19 (P10(a68,f2(a68),f53(f53(f10(a68),f11(a68,f26(a69,f24(f2(a68))),f3(a68))),f11(a68,f26(a69,f24(f2(a68))),f3(a68))))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,511,546,521,583,290,323,338,264,268,298,302,401,518,557,500,529,227,254,406,350,484,494,544,555,552,535,493,6440,6537,6552,6637,447,6401,6445,6473,6520,6530,6589,6696,236,240,244,288,480,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6587,6725,6728,381,497,527,6436,6457,496,6406,6494,6536,564,589,1811,232,251,463,6357,6437,592,495,418,211,600,208,449,6322,6353,6505,248,271,393,510,599,457,296,228,390,585,391,479,6393,210,379,516,404,384,378,313,330,307,305,329,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,274,4661,5471,6024,4508,6022,5291,4573,4750,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6013,6340,6386,6388,4625,5802,5503,6191,5524,5446,6267,6279,5744,6046,5493,4975,5469,5709,5740,5161,5163,5171,6187,6142,6145,6152,6249,5766,4991,5508,5199,6199,4037,5762,5350,5841,5652,6641,6671,5921,6320,6352,6368,5488,5907,6652,5495,5868,5727,5558,6446,5583,6031,5335,5108,4612,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4401,3681,3673,2254,2083,3300,1872,2192,3665,4328,4541,4404,2296,2370,2665,4533,6326,6363,4786,4434,2651,2431,3240,2139,3428,1938,2298,2695,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378])).
% 54.42/54.19 cnf(6749,plain,
% 54.42/54.19 (P10(a68,x67491,f11(a68,f26(a69,f24(x67491)),f3(a68)))),
% 54.42/54.19 inference(rename_variables,[],[515])).
% 54.42/54.19 cnf(6752,plain,
% 54.42/54.19 (P9(a68,x67521,f26(a69,f13(x67521)))),
% 54.42/54.19 inference(rename_variables,[],[480])).
% 54.42/54.19 cnf(6753,plain,
% 54.42/54.19 (P9(a69,x67531,f53(f53(f10(a69),x67531),x67531))),
% 54.42/54.19 inference(rename_variables,[],[493])).
% 54.42/54.19 cnf(6766,plain,
% 54.42/54.19 (P9(a68,f27(a1,x67661),f11(a68,f27(a1,f11(a1,x67661,x67662)),f27(a1,x67662)))),
% 54.42/54.19 inference(rename_variables,[],[552])).
% 54.42/54.19 cnf(6769,plain,
% 54.42/54.19 (P9(a69,f8(a69,x67691,x67692),x67691)),
% 54.42/54.19 inference(rename_variables,[],[497])).
% 54.42/54.19 cnf(6771,plain,
% 54.42/54.19 (~P9(a69,f53(f53(f10(a69),f4(a1,f11(a68,f2(f72(a1)),f3(a68)))),f4(a1,f11(a68,f2(f72(a1)),f3(a68)))),f11(a69,f8(a69,f2(a69),f2(a69)),f2(a69)))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,511,546,521,583,290,323,338,264,268,298,302,401,518,557,500,529,227,254,406,452,350,484,494,544,555,552,6471,535,493,6440,6537,6552,6637,6668,6753,447,6401,6445,6473,6520,6530,6589,6696,236,240,244,288,480,6533,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6587,6725,6728,381,497,6674,527,6436,6457,496,6406,6494,6536,564,589,1811,232,251,463,6357,6437,592,495,418,211,600,208,449,6322,6353,6505,248,271,393,510,599,457,296,228,390,585,391,479,6393,210,379,516,404,384,378,313,330,307,305,329,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,274,4661,5471,6024,4508,6022,5291,4573,4750,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,6013,6340,6386,6388,4625,5802,5503,6191,5524,5446,5556,5784,6267,6279,5744,6046,5493,4975,5469,5709,5740,5161,5163,5171,6187,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,4037,5762,5350,5841,5652,6641,6671,5921,6320,6352,6368,5488,5907,6652,5495,5868,5727,5558,6446,5583,6031,5335,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4401,3681,3673,2254,2083,3300,1872,2192,3665,4328,4541,4404,2296,2326,2370,2665,4533,6326,6363,4786,4434,2651,2431,3240,2139,3428,1938,2298,2695,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497])).
% 54.42/54.19 cnf(6777,plain,
% 54.42/54.19 (P10(a70,x67771,f11(a70,x67772,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,f7(a70,f8(a70,x67771,x67772)),f9(a70,f2(a70)))),f3(a70))),f3(a70))))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,511,546,521,583,290,323,338,264,268,298,302,401,518,557,500,529,227,254,406,452,350,484,494,544,555,552,6471,535,493,6440,6537,6552,6637,6668,6753,447,6401,6445,6473,6520,6530,6589,6696,236,240,244,288,480,6533,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6587,6725,6728,381,497,6674,527,6436,6457,496,6406,6494,6536,564,589,1811,232,251,463,6357,6437,592,495,418,211,600,208,449,6322,6353,6505,248,271,393,510,599,457,296,228,390,585,391,479,6393,210,379,516,404,384,378,313,330,307,305,329,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,584,274,4661,5471,6024,4508,6022,5291,4573,4750,4752,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,6013,6340,6386,6388,4625,5802,5503,6191,5524,5446,5556,5784,6267,6279,5744,6046,5493,4975,5469,5709,5740,5161,5163,5171,6187,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,4037,5762,5350,5841,5652,6641,6671,5921,6320,6352,6368,6517,5488,5907,6652,5495,5868,5727,5558,6446,5583,6031,5335,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4401,3681,3673,2254,2083,3300,1872,2192,3665,4328,4541,4404,2296,2326,2370,2665,4533,6326,6363,4786,4434,2651,2431,3240,2139,3428,1938,2298,2695,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706])).
% 54.42/54.19 cnf(6778,plain,
% 54.42/54.19 (P10(a70,x67781,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x67781,f9(a70,f2(a70)))),f3(a70))),f3(a70)))),
% 54.42/54.19 inference(rename_variables,[],[5921])).
% 54.42/54.19 cnf(6780,plain,
% 54.42/54.19 (~E(f8(a70,f11(a70,f11(a70,x67801,f3(a70)),f11(a70,x67802,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x67802,f2(a70))),f3(a70))),f3(a70)))),f3(a70)),x67801)),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,511,546,521,583,290,323,338,264,268,298,302,401,518,557,500,529,227,254,406,452,350,484,494,544,555,552,6471,535,493,6440,6537,6552,6637,6668,6753,447,6401,6445,6473,6520,6530,6589,6696,236,240,244,288,480,6533,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6587,6725,6728,381,497,6674,527,6436,6457,496,6406,6494,6536,564,589,1811,232,251,463,6357,6437,592,495,418,211,600,208,449,6322,6353,6505,248,271,393,510,599,457,296,228,390,585,391,479,6393,210,379,516,404,384,378,313,330,307,305,329,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,584,274,4661,5471,6024,4508,6022,5291,4573,4750,4752,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,6013,6340,6386,6388,4625,5802,5503,6191,5524,5446,5556,5784,6267,6279,5744,6046,5493,4975,5469,5709,5740,5161,5163,5171,6187,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,4037,5762,5350,5841,5652,6641,6671,5921,6320,6352,6368,6517,5488,5907,6652,5495,5868,5727,5558,6446,5583,6031,6716,5335,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4401,3681,3673,2254,2083,3300,1872,2192,3665,4328,4541,4404,2296,2326,2370,2665,4533,6326,6363,4786,4434,2651,2431,3240,2139,3428,1938,2298,2695,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064])).
% 54.42/54.19 cnf(6781,plain,
% 54.42/54.19 (~P10(a70,f8(a70,f11(a70,x67811,f11(a70,x67812,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x67812,f2(a70))),f3(a70))),f3(a70)))),f3(a70)),x67811)),
% 54.42/54.19 inference(rename_variables,[],[6031])).
% 54.42/54.19 cnf(6785,plain,
% 54.42/54.19 (~P57(f53(f53(f10(a69),f9(a70,f9(a70,a69))),f3(a69)))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,511,546,521,583,290,323,338,264,268,298,302,401,518,557,500,529,227,254,406,452,350,484,494,444,544,555,552,6471,535,493,6440,6537,6552,6637,6668,6753,447,6401,6445,6473,6520,6530,6589,6696,236,240,244,288,480,6533,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6587,6725,6728,381,497,6674,527,6436,6457,496,6406,6494,6536,564,589,1811,232,251,463,6357,6437,592,495,418,211,600,208,449,6322,6353,6505,248,271,393,510,599,457,296,228,390,585,391,479,6393,210,379,516,404,384,378,313,330,307,305,329,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,584,274,4661,5471,6024,4508,5347,6022,5291,4573,4750,4752,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,6013,6340,6386,6388,4625,5802,5503,6191,5524,5717,5446,5556,5784,6267,6279,5744,6046,5493,4975,5469,5709,5740,5161,5163,5171,6187,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,4037,5762,5350,5841,5652,6641,6671,5921,6320,6352,6368,6517,5488,5907,6652,5495,5868,5727,5558,6446,5583,6031,6716,5335,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4401,3681,3673,2254,2083,3300,1872,2192,3665,4328,4541,4404,2296,2326,2370,2665,4533,6326,6363,4786,4434,2651,2431,3240,2139,3428,1938,2298,2695,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160])).
% 54.42/54.19 cnf(6786,plain,
% 54.42/54.19 (E(f53(f53(f10(a69),x67861),f3(a69)),x67861)),
% 54.42/54.19 inference(rename_variables,[],[444])).
% 54.42/54.19 cnf(6794,plain,
% 54.42/54.19 (E(f8(a69,f11(a69,x67941,x67942),f11(a69,x67941,x67943)),f8(a69,x67942,x67943))),
% 54.42/54.19 inference(rename_variables,[],[525])).
% 54.42/54.19 cnf(6799,plain,
% 54.42/54.19 (P9(a68,f11(a68,f53(f53(f10(a68),f8(a68,x67991,x67991)),x67992),x67993),x67993)),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,511,546,521,583,290,323,338,264,268,298,302,401,518,557,500,529,227,254,406,452,350,484,494,6570,444,544,555,552,6471,535,493,6440,6537,6552,6637,6668,6753,447,6401,6445,6473,6520,6530,6589,6696,6746,236,240,244,288,480,6533,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6587,6725,6728,381,497,6674,527,6436,6457,496,6406,6494,6536,564,589,1811,232,251,463,6357,6437,592,495,6561,418,211,600,6731,208,449,6322,6353,6505,248,271,393,510,599,457,296,228,390,585,391,479,6393,210,379,516,404,384,378,602,313,330,307,305,329,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,584,274,4661,5471,6024,4508,5347,6022,5291,4573,4750,4752,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,6013,6340,6386,6388,4625,5802,5503,6191,5524,5717,5446,5556,5784,6267,6279,5744,6046,5493,4975,5469,5709,5740,5161,5163,5171,6187,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,4037,5762,5350,5841,5652,6641,6671,5921,6320,6352,6368,6517,5488,5907,6652,5495,5868,5727,5558,6446,5583,6031,6716,5335,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4401,3681,3673,2254,2083,3300,1872,2192,3665,4328,4541,4404,2296,2326,2370,2665,4533,6326,6363,4786,4434,2651,2431,3240,2139,3428,1938,2298,2695,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786])).
% 54.42/54.19 cnf(6800,plain,
% 54.42/54.19 (P9(a68,x68001,x68001)),
% 54.42/54.19 inference(rename_variables,[],[447])).
% 54.42/54.19 cnf(6806,plain,
% 54.42/54.19 (~E(x68061,f11(a69,f11(a70,f3(a70),f9(a70,f8(a69,x68061,f8(a69,x68061,x68062)))),f8(a69,x68061,x68062)))),
% 54.42/54.19 inference(rename_variables,[],[5644])).
% 54.42/54.19 cnf(6809,plain,
% 54.42/54.19 (~E(f11(a68,f53(f53(f10(a68),x68091),x68092),x68093),f11(a68,f53(f53(f10(a68),x68094),x68092),f11(a69,f9(a70,f11(a68,f9(a70,f8(a69,f11(a68,f53(f53(f10(a68),f8(a68,x68091,x68094)),x68092),x68093),f11(a68,f53(f53(f10(a68),f8(a68,x68091,x68094)),x68092),x68093))),f3(a68))),f11(a68,f53(f53(f10(a68),f8(a68,x68091,x68094)),x68092),x68093))))),
% 54.42/54.19 inference(rename_variables,[],[5579])).
% 54.42/54.19 cnf(6818,plain,
% 54.42/54.19 (~P10(a68,x68181,x68181)),
% 54.42/54.19 inference(rename_variables,[],[1811])).
% 54.42/54.19 cnf(6823,plain,
% 54.42/54.19 (~P10(a68,x68231,x68231)),
% 54.42/54.19 inference(rename_variables,[],[1811])).
% 54.42/54.19 cnf(6825,plain,
% 54.42/54.19 (~P10(a71,f8(a69,f11(a69,x68251,x68252),f11(a69,x68251,x68253)),f8(a69,x68252,x68253))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,6794,511,545,546,521,583,290,323,338,264,268,298,302,401,518,557,500,529,227,254,406,452,350,484,494,6570,444,544,555,552,6471,535,493,6440,6537,6552,6637,6668,6753,447,6401,6445,6473,6520,6530,6589,6696,6746,236,240,244,288,480,6533,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6587,6725,6728,381,497,6674,527,6436,6457,496,6406,6494,6536,564,589,1811,6703,6818,232,251,463,6357,6437,592,495,6561,418,211,600,6731,208,449,6322,6353,6505,248,271,393,510,270,599,457,296,228,390,585,391,479,6393,210,379,516,404,384,378,602,313,330,307,305,329,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,6022,5291,4573,4750,4752,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,5644,6013,6340,6386,6388,4625,5802,5503,6191,5524,5717,5446,5579,5556,5784,6267,6279,5744,6046,5493,4975,5469,5709,5740,5161,5163,5171,6187,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5923,4037,5762,5350,5841,5652,6641,6671,5921,6320,6352,6368,6517,5488,5907,6652,5495,5868,5727,5558,6446,5583,6031,6716,5335,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4401,3681,3673,2254,2083,3300,1872,2837,2192,3665,4328,4541,4404,2296,2326,2370,2665,4533,6326,6363,4786,4434,2651,2431,3240,2139,3428,1938,2298,2695,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899])).
% 54.42/54.19 cnf(6827,plain,
% 54.42/54.19 (P9(a68,x68271,f26(a69,f13(f7(a68,x68271))))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,6794,511,545,546,521,583,290,323,338,264,268,298,302,401,518,557,500,529,227,254,406,452,350,484,494,6570,444,544,555,552,6471,535,493,6440,6537,6552,6637,6668,6753,447,6401,6445,6473,6520,6530,6589,6696,6746,236,240,244,288,480,6533,6752,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6587,6725,6728,381,497,6674,527,6436,6457,496,6406,6494,6536,564,589,1811,6703,6818,232,251,463,6357,6437,592,495,6561,418,211,600,6731,208,449,6322,6353,6505,248,271,393,510,270,599,457,296,228,390,585,391,479,6393,210,379,516,404,384,378,602,313,330,307,305,329,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,6022,5291,4573,4750,4752,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,5644,6013,6340,6386,6388,4625,5802,5503,6191,5524,5717,5446,5579,5556,5784,6267,6279,5744,6046,5493,4975,5469,5709,5740,5161,5163,5171,6187,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5923,4037,5762,5350,5841,5652,6641,6671,5921,6320,6352,6368,6517,5488,5907,6652,5495,5868,5727,5558,6446,5583,6031,6716,5335,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4401,3681,3673,2254,2083,3300,1872,2837,2192,3665,4328,4541,4404,2296,2326,2370,2665,4533,6326,6363,4786,4434,2651,2431,3240,2139,3428,1938,2298,2695,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130])).
% 54.42/54.19 cnf(6828,plain,
% 54.42/54.19 (P9(a68,x68281,f26(a69,f13(x68281)))),
% 54.42/54.19 inference(rename_variables,[],[480])).
% 54.42/54.19 cnf(6839,plain,
% 54.42/54.19 (~E(f11(a69,a78,f3(a69)),f11(a69,f4(a1,a73),x68391))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,6794,511,545,546,521,583,290,323,338,264,268,298,302,401,518,557,500,529,227,254,406,452,350,484,494,6570,444,544,555,552,6471,535,493,6440,6537,6552,6637,6668,6753,447,6401,6445,6473,6520,6530,6589,6696,6746,236,240,244,288,480,6533,6752,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6587,6725,6728,381,497,6674,527,6436,6457,496,6406,6494,6536,564,589,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,208,449,6322,6353,6505,248,271,393,510,270,599,457,296,228,390,585,391,479,6393,210,379,516,404,384,378,602,313,330,307,305,329,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,6022,5291,4573,4750,4752,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,5644,6013,6340,6386,6388,4625,5802,5503,6191,5524,5717,5446,5579,5556,5784,6267,6279,5744,6046,5493,4975,5469,5709,5740,5161,5163,5171,6187,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5923,4037,5762,5350,5841,5652,6641,6671,5921,6320,6352,6368,6517,5488,5907,6652,5495,5868,5727,5897,5558,6446,5583,6031,6716,5335,6351,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4401,3681,3673,2254,2083,3300,1872,2837,2192,3665,4328,4541,4404,2296,2326,2370,2665,4533,6326,6363,4786,4434,2651,2431,3240,2139,3428,1938,2298,2695,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003])).
% 54.42/54.19 cnf(6846,plain,
% 54.42/54.19 (P9(a68,f9(a68,f26(a69,f13(f9(a68,x68461)))),x68461)),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,6794,511,545,546,521,583,290,323,338,264,268,298,302,401,518,557,500,529,227,254,406,452,350,484,494,6570,444,544,555,552,6471,535,493,6440,6537,6552,6637,6668,6753,447,6401,6445,6473,6520,6530,6589,6696,6746,236,240,244,288,480,6533,6752,6828,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6587,6725,6728,381,497,6674,527,6436,6457,496,6406,6494,6536,564,589,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,208,449,6322,6353,6505,248,271,393,510,270,599,457,296,228,390,585,391,479,6393,210,379,516,404,384,378,602,313,330,307,305,329,349,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,6022,5291,4573,4750,4752,5442,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,5644,6013,6340,6386,6388,4625,5802,5503,6191,5524,5717,5446,5579,5556,5784,6267,6279,5744,6046,5493,4975,5469,5709,5740,5161,5163,5171,6187,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5923,4037,5762,5350,5841,5652,6641,6671,5921,6320,6352,6368,6517,5488,5907,6652,5495,5868,5727,5897,5558,6446,5583,6031,6716,5335,6351,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4401,3681,3673,2254,2083,3300,1872,2837,2192,3665,4328,4541,4404,2296,2326,2370,2665,4533,6326,6363,4786,4434,2651,2431,3240,2139,3428,1938,2298,2695,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198])).
% 54.42/54.19 cnf(6847,plain,
% 54.42/54.19 (P9(a68,x68471,f26(a69,f13(x68471)))),
% 54.42/54.19 inference(rename_variables,[],[480])).
% 54.42/54.19 cnf(6854,plain,
% 54.42/54.19 (E(f11(a69,x68541,f11(a69,x68542,x68543)),f11(a69,x68542,f11(a69,x68541,x68543)))),
% 54.42/54.19 inference(rename_variables,[],[518])).
% 54.42/54.19 cnf(6862,plain,
% 54.42/54.19 (E(f53(f53(f10(a69),x68621),f3(a69)),x68621)),
% 54.42/54.19 inference(rename_variables,[],[444])).
% 54.42/54.19 cnf(6867,plain,
% 54.42/54.19 (~P10(a69,x68671,x68671)),
% 54.42/54.19 inference(rename_variables,[],[589])).
% 54.42/54.19 cnf(6871,plain,
% 54.42/54.19 (~P10(a69,f11(a69,x68711,f8(a69,f11(a69,x68712,x68713),x68713)),x68712)),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,6794,511,545,546,521,583,290,323,338,264,268,298,302,401,518,6417,557,500,529,227,254,406,452,350,484,494,6570,444,6786,544,555,552,6471,535,493,6440,6537,6552,6637,6668,6753,447,6401,6445,6473,6520,6530,6589,6696,6746,236,240,244,288,480,6533,6752,6828,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6587,6725,6728,381,497,6674,527,6436,6457,496,6406,6494,6536,564,589,6485,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,208,449,6322,6353,6505,248,271,393,510,270,599,457,296,228,390,585,391,479,6393,210,379,516,404,384,378,602,313,330,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,6022,5291,4573,4750,4752,5442,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,5644,6013,6340,6386,6388,4625,5802,5503,6191,5524,5717,5446,5579,5556,5784,6267,6279,5744,6046,5493,4975,5469,5709,5740,5161,5163,5171,6187,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5923,4037,5762,5350,5841,5652,6641,6671,5921,6320,6352,6368,6517,5488,5907,6652,5495,5899,5868,5727,5882,5897,5558,6446,5583,6031,6716,5335,6351,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4401,3536,3681,3673,2254,2083,3300,1872,2837,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4786,4434,2651,2431,3240,2139,3428,1938,2298,2695,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422])).
% 54.42/54.19 cnf(6879,plain,
% 54.42/54.19 (P10(a70,x68791,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x68791,f9(a70,f2(a70)))),f3(a70))),f3(a70)))),
% 54.42/54.19 inference(rename_variables,[],[5921])).
% 54.42/54.19 cnf(6881,plain,
% 54.42/54.19 (~E(f11(a1,x68811,f2(a1)),f11(a1,x68811,a46))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,6794,511,545,546,521,583,290,323,338,360,264,268,298,302,401,518,6417,557,500,529,227,254,406,452,350,484,494,6570,444,6786,544,555,552,6471,535,493,6440,6537,6552,6637,6668,6753,447,6401,6445,6473,6520,6530,6589,6696,6746,236,240,244,288,480,6533,6752,6828,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6587,6725,6728,381,497,6674,527,6436,6457,496,6406,6494,6536,564,589,6485,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,208,449,6322,6353,6505,248,271,393,510,270,599,457,296,228,390,585,391,479,6393,210,379,516,404,384,378,602,313,330,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,6022,5291,4573,4750,4752,5442,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,5644,6013,6340,6386,6388,4625,5802,5503,6191,5524,5717,5446,5579,5556,5784,6267,6279,5744,6046,5493,4975,5469,5709,5740,5161,5163,5171,6187,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5923,4037,5762,5350,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,5488,5907,6652,5495,5899,5868,5727,5882,5897,5558,6446,5583,6031,6716,5335,6351,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4401,3592,3536,3681,3673,2254,2083,3300,1872,3338,2837,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4786,4434,2651,2431,3342,3240,2139,3428,1938,2298,2695,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102])).
% 54.42/54.19 cnf(6883,plain,
% 54.42/54.19 (P9(f11(a69,f2(a69),a70),f7(f11(a69,f2(a69),a70),f53(f53(f10(a70),f3(a70)),f2(f11(a69,f2(a69),a70)))),f2(f11(a69,f2(a69),a70)))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,6794,511,545,546,521,583,290,323,338,360,264,268,298,302,401,518,6417,557,500,529,227,254,406,452,350,484,494,6570,444,6786,544,555,552,6471,535,493,6440,6537,6552,6637,6668,6753,447,6401,6445,6473,6520,6530,6589,6696,6746,236,240,244,288,480,6533,6752,6828,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6587,6725,6728,381,497,6674,527,6436,6457,496,6406,6494,6536,564,589,6485,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,208,449,6322,6353,6505,248,271,393,510,270,599,457,296,228,390,585,391,479,6393,210,379,516,404,384,378,602,313,330,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,6022,5291,4573,4750,4752,5442,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,5644,6013,6340,6386,6388,4625,5802,5503,6191,5524,5717,5446,5579,5556,5784,6267,6279,5744,6046,5493,4975,5469,5709,5740,5161,5163,5171,6187,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5923,4037,5762,5350,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,5488,5907,6652,5495,5899,5868,5727,5882,5897,5558,6446,5583,6031,6716,5335,6351,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4401,3592,3536,3681,3673,2254,2083,3300,1872,3338,2837,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4786,4434,2651,2431,3342,3240,2139,3428,1938,2298,2695,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916])).
% 54.42/54.19 cnf(6884,plain,
% 54.42/54.19 (E(f53(f53(f10(a70),f3(a70)),x68841),x68841)),
% 54.42/54.19 inference(rename_variables,[],[452])).
% 54.42/54.19 cnf(6887,plain,
% 54.42/54.19 (~P10(a69,f11(a69,x68871,x68872),x68871)),
% 54.42/54.19 inference(rename_variables,[],[600])).
% 54.42/54.19 cnf(6895,plain,
% 54.42/54.19 (P10(a68,x68951,f11(a68,f26(a69,f24(x68951)),f3(a68)))),
% 54.42/54.19 inference(rename_variables,[],[515])).
% 54.42/54.19 cnf(6896,plain,
% 54.42/54.19 (P9(a68,x68961,x68961)),
% 54.42/54.19 inference(rename_variables,[],[447])).
% 54.42/54.19 cnf(6900,plain,
% 54.42/54.19 (~P10(a70,f8(a70,f11(a70,f11(a70,x69001,f3(a70)),f11(a70,x69002,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x69002,f2(a70))),f3(a70))),f3(a70)))),f3(a70)),x69001)),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,6794,511,545,546,521,583,290,323,338,360,264,268,298,302,401,518,6417,557,500,529,227,254,406,452,350,484,494,6570,444,6786,544,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,236,240,244,288,480,6533,6752,6828,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6587,6725,6728,381,497,6674,527,6436,6457,496,6406,6494,6536,564,589,6485,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,208,449,6322,6353,6505,248,271,393,510,270,599,457,296,228,456,390,585,391,479,6393,210,379,516,404,384,378,602,313,330,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,6022,5291,5091,4573,4750,4752,5442,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,5644,6013,6340,6386,6388,4625,5802,5503,6191,5524,5717,5446,5579,5556,5784,6267,6279,5744,6046,5493,4975,5469,5709,5740,5161,5163,5171,4837,6187,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5923,4037,5762,5350,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,5488,5907,6652,5495,5899,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5335,6351,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4529,4401,3592,3536,3681,3673,2254,2083,3300,1872,3338,2837,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4786,4434,2651,2431,3342,3240,2139,3428,1938,2298,2695,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274])).
% 54.42/54.19 cnf(6907,plain,
% 54.42/54.19 (~P9(a70,f9(a70,f2(a70)),f9(a70,f53(f53(f10(a70),f53(f53(f10(a70),f3(a70)),f3(a70))),f53(f53(f10(a70),f3(a70)),f3(a70)))))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,6794,511,545,546,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,557,500,529,227,254,406,452,350,484,494,6570,444,6786,544,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,236,240,244,288,480,6533,6752,6828,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6587,6725,6728,381,497,6674,527,6436,6457,496,6406,6494,6536,564,589,6485,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,208,449,6322,6353,6505,248,271,393,510,270,599,457,296,228,456,390,585,391,479,6393,210,379,516,404,384,378,602,313,330,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,6022,5291,5091,4573,4750,4752,5442,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,5644,6013,6340,6386,6388,4625,5802,5503,6191,5524,5717,5446,5579,5556,5784,6267,6279,5744,6046,5493,4975,5469,5709,5740,5161,5163,5171,4837,6187,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5923,4037,5762,5350,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,5488,5907,6652,5495,5899,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5335,6351,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4529,4401,3592,3536,3681,3673,2254,2083,3300,1872,3338,2837,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4786,4434,2651,2431,3342,3240,2139,3428,1938,2298,2695,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223])).
% 54.42/54.19 cnf(6918,plain,
% 54.42/54.19 (~E(f11(a69,x69181,f4(a1,a73)),x69181)),
% 54.42/54.19 inference(rename_variables,[],[5590])).
% 54.42/54.19 cnf(6919,plain,
% 54.42/54.19 (P9(a69,f8(a69,x69191,x69192),x69191)),
% 54.42/54.19 inference(rename_variables,[],[497])).
% 54.42/54.19 cnf(6924,plain,
% 54.42/54.19 (~P9(a69,f4(a1,a73),f3(a69))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,6794,501,511,545,546,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,557,500,529,227,254,406,452,350,484,494,6570,444,6786,544,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,236,240,244,288,480,6533,6752,6828,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6587,6725,6728,381,497,6674,6769,527,6436,6457,496,6406,6494,6536,564,589,6485,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,208,449,6322,6353,6505,248,271,393,510,270,599,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,6022,5291,5091,4573,4750,4752,5442,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,5644,6013,6340,6386,6388,4625,5802,5503,6191,5524,5717,5446,5579,5556,5784,6267,6279,5744,6046,5949,5493,4975,5469,5709,5740,5161,5163,5171,4837,6187,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5923,4037,5762,5350,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,5488,5907,6652,5495,5899,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5335,6351,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4529,4401,3592,3536,3681,3673,2254,2083,3300,1872,3338,2837,2971,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4786,4434,2651,2431,3342,3240,2139,3428,1938,2298,2695,3246,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251])).
% 54.42/54.19 cnf(6927,plain,
% 54.42/54.19 (P10(a68,x69271,f11(a68,f26(a69,f24(x69271)),f3(a68)))),
% 54.42/54.19 inference(rename_variables,[],[515])).
% 54.42/54.19 cnf(6929,plain,
% 54.42/54.19 (P9(a69,x69291,f11(a69,f53(f53(f10(a69),f8(a69,f53(f53(f10(a69),x69292),x69292),x69292)),x69293),f53(f53(f10(a69),f11(a69,f53(f53(f10(a69),x69292),x69293),x69291)),f53(f53(f10(a69),f11(a69,f53(f53(f10(a69),x69292),x69293),x69291)),f11(a69,f53(f53(f10(a69),x69292),x69293),x69291)))))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,6794,501,511,545,546,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,557,500,529,227,254,406,452,350,484,494,6570,444,6786,544,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,236,240,244,288,480,6533,6752,6828,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6587,6725,6728,381,497,6674,6769,527,6436,6457,496,6406,6494,6536,564,589,6485,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,208,449,6322,6353,6505,248,271,393,510,270,599,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,6022,5291,5091,4573,4750,4752,5442,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,5644,6013,6340,6386,6388,4625,5802,5503,6191,5524,5717,5446,5579,5556,5784,6267,6279,5744,6046,5949,5493,4975,5469,5709,5740,5161,5163,5171,4837,6187,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5923,4037,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,5488,5907,6652,5495,5899,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5335,6351,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4529,4401,3592,3536,3681,3673,2254,2083,3300,1872,3338,2837,2971,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4786,4434,2651,2431,3342,3240,2139,3428,1938,2298,2695,3246,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780])).
% 54.42/54.19 cnf(6932,plain,
% 54.42/54.19 (P10(a69,x69321,f11(a69,x69321,f13(f11(a68,f26(a69,f11(a69,f53(f53(f10(a69),f8(a69,x69322,x69322)),x69323),f53(f53(f10(a69),f8(a69,x69322,x69322)),x69323))),f3(a68)))))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,6794,501,511,545,546,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,6854,557,500,529,227,254,406,452,350,484,494,6570,444,6786,544,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,236,240,244,288,480,6533,6752,6828,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6587,6725,6728,381,497,6674,6769,527,6436,6457,496,6406,6494,6536,564,589,6485,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,208,449,6322,6353,6505,248,271,393,510,270,599,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,6022,5291,5091,4573,4750,4752,5442,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,5644,6013,6340,6386,6388,4625,5802,5503,6191,5524,5717,5446,5579,5556,5784,6267,6279,5744,6046,5949,5493,4975,5469,5709,5740,5161,5163,5171,4837,6187,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5923,4037,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,5488,5907,6652,5951,5495,5899,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5335,6351,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4529,4401,3592,3536,3681,3673,2254,2083,3300,1872,3338,2837,2971,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4786,4434,2651,2431,3342,3240,2139,3428,1938,2298,2695,3246,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780,1357])).
% 54.42/54.19 cnf(6933,plain,
% 54.42/54.19 (E(f11(a69,x69331,f11(a69,x69332,x69333)),f11(a69,x69332,f11(a69,x69331,x69333)))),
% 54.42/54.19 inference(rename_variables,[],[518])).
% 54.42/54.19 cnf(6934,plain,
% 54.42/54.19 (P10(a69,x69341,f11(a69,f53(f53(f10(a69),f8(a69,x69342,x69342)),x69343),f13(f11(a68,f26(a69,f11(a69,f53(f53(f10(a69),f8(a69,x69342,x69342)),x69343),x69341)),f3(a68)))))),
% 54.42/54.19 inference(rename_variables,[],[5951])).
% 54.42/54.19 cnf(6936,plain,
% 54.42/54.19 (~P10(f72(a68),f7(f72(a68),f53(f53(f10(f72(a68)),f12(f72(a68),f13(f26(a69,f2(f72(a68)))))),f12(f72(a68),f13(f26(a69,f2(f72(a68))))))),f53(f53(f10(f72(a68)),f12(f72(a68),f13(f26(a69,f2(f72(a68)))))),f12(f72(a68),f13(f26(a69,f2(f72(a68)))))))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,6794,501,511,545,546,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,6854,557,500,529,227,254,406,452,350,484,494,6570,444,6786,544,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,236,240,244,288,480,6533,6752,6828,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6587,6725,6728,381,497,6674,6769,527,6436,6457,496,6406,6494,6536,564,589,6485,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,208,449,6322,6353,6505,248,271,393,510,270,599,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,6022,5291,5091,4573,4750,4752,5442,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,5644,6013,6340,6386,6388,4625,5802,5503,6191,5524,5717,5446,5579,5556,5201,5784,6267,6279,5744,6046,5949,5493,4975,5469,5709,5740,5161,5163,5171,4837,6187,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5923,4037,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,5488,5907,6652,5951,5495,5899,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5335,6351,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4529,4401,3592,3536,3681,3673,2254,2083,3300,1872,3338,2837,2971,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4786,4434,2651,2431,3342,3240,2139,3428,1938,2298,2695,3246,2368,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780,1357,1203])).
% 54.42/54.19 cnf(6944,plain,
% 54.42/54.19 (P10(a70,f53(f53(f10(a70),f9(a70,f3(a70))),f2(a70)),f53(f53(f10(a70),f11(a70,f2(a70),f3(a70))),f3(a70)))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,6794,501,511,545,546,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,6854,557,500,529,227,254,406,452,350,484,494,6570,444,6786,544,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,236,240,244,288,480,6533,6752,6828,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6587,6725,6728,381,497,6674,6769,527,6436,6457,496,6406,6494,6536,564,589,6485,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,208,449,6322,6353,6505,248,271,393,510,270,599,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,6022,5291,5091,4573,4750,4752,5442,5533,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,5644,6013,6340,6386,6388,4625,5802,5503,6191,5524,5717,5446,5579,5556,5201,5784,6267,6279,5744,6046,5949,5493,4975,5469,5709,5740,5161,5163,5171,4837,6187,5637,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5923,4037,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,5488,5907,6652,5951,5495,5899,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5335,6351,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4529,4401,3592,3536,3681,3673,2254,2083,3300,1872,3338,2837,2971,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4786,4434,2651,2431,3342,3240,1821,2139,3428,1938,2298,2695,3246,2368,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780,1357,1203,1186,1093,1345,1703])).
% 54.42/54.19 cnf(6946,plain,
% 54.42/54.19 (P9(a70,x69461,x69461)),
% 54.42/54.19 inference(rename_variables,[],[449])).
% 54.42/54.19 cnf(6950,plain,
% 54.42/54.19 (P10(a70,x69501,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x69501,f9(a70,f9(a70,f2(a70))))),f3(a70))),f3(a70)))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,6794,501,511,545,546,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,6854,557,500,529,227,254,406,452,350,484,494,6570,444,6786,544,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,236,240,244,288,480,6533,6752,6828,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6587,6725,6728,381,497,6674,6769,527,6436,6457,496,6406,6494,6536,564,589,6485,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,208,449,6322,6353,6505,248,271,393,510,270,599,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,6022,5291,5091,4573,4750,4752,5442,5533,5097,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,5644,6013,6340,6386,6388,4625,5802,5503,6191,5524,5717,5446,5579,5556,5201,5784,6267,6279,5744,6046,5949,5493,4975,5469,5709,5740,5161,5163,5171,4837,6187,5637,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5923,4037,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,5488,5907,6652,5951,5495,5899,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5335,6351,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4529,4401,3592,3536,3681,3673,2254,2083,3300,1872,3338,2837,2971,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4786,4434,2651,2431,3342,3240,1821,2139,3428,1938,2298,2695,3246,2368,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780,1357,1203,1186,1093,1345,1703,926,1360])).
% 54.42/54.19 cnf(6951,plain,
% 54.42/54.19 (P10(a70,f8(a70,x69511,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x69511,f9(a70,f9(a70,x69512)))),f3(a70))),f3(a70))),x69512)),
% 54.42/54.19 inference(rename_variables,[],[5907])).
% 54.42/54.19 cnf(6962,plain,
% 54.42/54.19 (~P10(a70,f9(a70,f53(f53(f10(a70),f2(a70)),f2(a70))),f2(a70))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,6794,501,511,545,546,559,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,6854,557,500,529,227,254,406,452,350,484,494,6570,444,6786,544,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,236,240,244,288,480,6533,6752,6828,6847,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6587,6725,6728,381,497,6674,6769,527,6436,6457,496,6406,6494,6536,564,589,6485,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,208,449,6322,6353,6505,248,271,393,510,270,599,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,6022,5291,5091,4573,4750,4752,5442,5533,5097,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,5644,6013,6340,6386,6388,4625,5802,5503,6191,5524,5717,5446,5579,5556,5201,5784,6267,6279,5744,6046,5949,5493,4975,5469,5709,5740,5161,5163,5171,4837,6187,5637,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5923,4037,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,5488,5907,6652,5951,5495,5899,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5335,6351,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4529,4401,3592,3536,3681,3673,2254,2083,3300,1872,2435,3338,2837,2971,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4786,4434,2651,2431,3342,3240,1821,2139,3428,1938,2298,2695,3246,2368,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780,1357,1203,1186,1093,1345,1703,926,1360,1072,1155,799,1196,1184])).
% 54.42/54.19 cnf(6966,plain,
% 54.42/54.19 (P10(a70,f2(a70),f53(f53(f10(a70),f53(f53(f10(a70),f3(a70)),f3(a70))),f53(f53(f10(a70),f3(a70)),f3(a70))))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,6794,501,511,545,546,559,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,6854,557,500,529,227,254,406,452,350,484,494,6570,444,6786,544,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,236,240,244,288,480,6533,6752,6828,6847,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6587,6725,6728,381,497,6674,6769,527,6436,6457,496,6406,6494,6536,564,589,6485,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,208,449,6322,6353,6505,248,271,393,510,270,599,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,6022,5291,5091,4573,4750,4752,5442,5533,5097,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,5644,6013,6340,6386,6388,4625,5802,5503,6191,5524,5717,5446,5579,5556,5201,5784,6267,6279,5744,6046,5949,5493,4975,5469,5709,5740,5161,5163,5171,4837,6187,5637,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5923,4037,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,5488,5907,6652,5951,5495,5899,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5335,6351,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4529,4401,3592,3536,3681,3673,2254,4766,2083,3300,1872,2435,3338,2837,2971,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4786,4434,2651,2431,3342,3240,1821,2139,3428,1938,2298,2695,3246,2368,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780,1357,1203,1186,1093,1345,1703,926,1360,1072,1155,799,1196,1184,1026,932])).
% 54.42/54.19 cnf(6969,plain,
% 54.42/54.19 (P10(a68,x69691,f11(a68,f26(a69,f24(x69691)),f3(a68)))),
% 54.42/54.19 inference(rename_variables,[],[515])).
% 54.42/54.19 cnf(6970,plain,
% 54.42/54.19 (P9(a68,x69701,x69701)),
% 54.42/54.19 inference(rename_variables,[],[447])).
% 54.42/54.19 cnf(6977,plain,
% 54.42/54.19 (P9(a68,x69771,x69771)),
% 54.42/54.19 inference(rename_variables,[],[447])).
% 54.42/54.19 cnf(6982,plain,
% 54.42/54.19 (P9(a68,x69821,x69821)),
% 54.42/54.19 inference(rename_variables,[],[447])).
% 54.42/54.19 cnf(6984,plain,
% 54.42/54.19 (~P9(a68,f26(a69,f11(a69,f4(a1,a73),f11(a69,x69841,f24(x69842)))),x69842)),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,6794,501,511,545,546,559,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,6854,557,500,529,227,254,406,452,350,484,494,6570,444,6786,544,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,6896,6970,6977,236,240,244,288,480,6533,6752,6828,6847,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6927,6969,6587,6725,6728,395,381,497,6674,6769,527,6436,6457,496,6406,6494,6536,564,589,6485,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,208,449,6322,6353,6505,248,271,393,510,270,599,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,6022,5291,5091,4573,4750,4752,5442,5533,5097,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,5644,6013,6340,6386,6388,4625,5802,5503,6191,5524,5411,5717,5446,5579,5556,5201,5784,6267,6279,5744,6046,5949,5493,4975,5469,5709,5740,5161,5163,5171,4837,6187,5637,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5923,4037,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,5488,5907,6652,4059,5951,5495,5899,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5335,6351,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4529,4401,3592,3536,3681,3673,2254,4766,2083,3300,1872,2435,3338,2837,2971,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4786,4434,2651,2431,3342,3240,1821,2139,3428,1938,2298,2695,3246,2368,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780,1357,1203,1186,1093,1345,1703,926,1360,1072,1155,799,1196,1184,1026,932,1662,766,1541,1424,1558,1428,1087])).
% 54.42/54.19 cnf(6989,plain,
% 54.42/54.19 (P10(a68,x69891,f11(a68,f11(a68,f26(a69,f24(f2(a68))),f3(a68)),f11(a68,f26(a69,f24(x69891)),f3(a68))))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,6794,501,511,545,546,559,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,6854,557,500,529,227,254,406,452,350,484,494,6570,444,6786,544,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,6896,6970,6977,236,240,244,288,480,6533,6752,6828,6847,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6927,6969,6587,6725,6728,6736,395,381,497,6674,6769,527,6436,6457,496,6406,6494,6536,564,589,6485,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,208,449,6322,6353,6505,248,271,397,393,510,270,599,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,4012,6022,5291,5091,4573,4750,4752,5442,5533,5097,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,5644,6013,6340,6386,6388,4625,5802,5503,6191,5524,5411,5717,5446,5579,5556,5201,5784,6267,6279,5744,6046,5949,5493,4975,5469,5709,5740,5161,5163,5171,4837,6187,5637,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5923,4037,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,5488,5907,6652,4059,5951,5495,5899,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5335,6351,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4529,4401,3592,3536,3681,3673,2254,4766,2083,3300,1872,2435,3338,2837,2971,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4786,4434,2651,2431,3342,3240,1821,2139,3428,1938,2298,2695,3246,2368,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780,1357,1203,1186,1093,1345,1703,926,1360,1072,1155,799,1196,1184,1026,932,1662,766,1541,1424,1558,1428,1087,955,1426])).
% 54.42/54.19 cnf(6990,plain,
% 54.42/54.19 (P10(a68,x69901,f11(a68,f26(a69,f24(x69901)),f3(a68)))),
% 54.42/54.19 inference(rename_variables,[],[515])).
% 54.42/54.19 cnf(6996,plain,
% 54.42/54.19 (~P10(a69,f11(a69,f53(f53(f10(a69),x69961),x69961),x69962),x69961)),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,6794,501,511,545,546,559,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,6854,557,500,529,227,254,406,452,350,484,494,6570,444,6786,544,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,6896,6970,6977,236,240,244,288,480,6533,6752,6828,6847,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6927,6969,6990,6587,6725,6728,6736,395,381,497,6674,6769,527,6436,6457,496,6406,6494,6536,564,589,6485,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,6887,208,449,6322,6353,6505,248,271,397,393,510,270,599,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,4510,4012,6022,5291,5091,4573,4750,4752,5442,5533,5097,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,5644,6013,6340,6386,6388,4625,5802,5503,6191,5524,5411,5717,5446,5579,5556,5201,5784,6267,6279,5744,6046,5949,5493,4975,5469,5709,5740,5161,5163,5171,4837,6187,5637,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5923,4037,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,5488,5907,6652,4059,5951,5495,5899,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5335,6351,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4529,4401,3592,3536,3681,3673,2254,4766,2083,3300,1872,2435,3338,2837,2971,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4786,4434,2651,2431,3342,3240,1821,2139,3428,1938,2298,2695,3246,2368,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780,1357,1203,1186,1093,1345,1703,926,1360,1072,1155,799,1196,1184,1026,932,1662,766,1541,1424,1558,1428,1087,955,1426,1441,1602,1235])).
% 54.42/54.19 cnf(7004,plain,
% 54.42/54.19 (P10(a69,x70041,f8(a69,f24(f11(a68,f26(a69,f11(a69,x70041,x70042)),f3(a68))),x70042))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,6794,501,511,545,546,559,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,6854,557,500,529,227,254,406,452,350,484,494,6570,444,6786,544,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,6896,6970,6977,236,240,244,288,480,6533,6752,6828,6847,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6927,6969,6990,6587,6725,6728,6736,395,381,497,6674,6769,6919,527,6436,6457,496,6406,6494,6536,564,589,6485,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,6887,208,449,6322,6353,6505,248,271,397,393,510,270,599,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,4510,4012,6022,5291,5091,4573,4750,4752,5442,5533,5097,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,5644,6013,6340,6386,6388,4625,5802,5503,6191,5524,5411,5717,5446,5579,5556,5201,5784,6267,6279,5744,6046,5949,5493,4975,5469,5709,5740,5161,5163,5171,4837,6187,5637,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5923,4037,5995,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,5488,5907,6652,4059,5951,5495,5899,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5335,6351,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4529,4401,3592,3536,3681,3673,2254,4766,2083,3300,1872,2435,3338,2837,2971,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4786,4434,2651,2431,3342,3240,1821,2139,3428,1938,2298,2695,3246,2368,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780,1357,1203,1186,1093,1345,1703,926,1360,1072,1155,799,1196,1184,1026,932,1662,766,1541,1424,1558,1428,1087,955,1426,1441,1602,1235,1170,1611,1496])).
% 54.42/54.19 cnf(7013,plain,
% 54.42/54.19 (P9(a69,x70131,f53(f53(f10(a69),x70131),x70131))),
% 54.42/54.19 inference(rename_variables,[],[493])).
% 54.42/54.19 cnf(7015,plain,
% 54.42/54.19 (P10(a69,x70151,f13(f11(a68,f26(a69,f11(a69,f53(f53(f10(a69),f8(a69,x70152,x70152)),x70153),f11(a69,f53(f53(f10(a69),f8(a69,x70152,x70152)),x70153),x70151))),f3(a68))))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,6794,501,511,545,546,559,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,6854,6933,557,500,529,227,254,406,452,350,484,494,6570,444,6786,544,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,6896,6970,6977,236,240,244,288,480,6533,6752,6828,6847,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6927,6969,6990,6587,6725,6728,6736,395,381,497,6674,6769,6919,527,6436,6457,496,6406,6494,6536,564,589,6485,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,6887,208,449,6322,6353,6505,248,271,397,393,510,270,599,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,4510,4012,6022,5291,5091,4573,4750,4752,5442,5533,5097,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,5644,6013,6340,6386,6388,4625,5802,5503,6191,5524,5411,5717,5446,5579,5556,5201,5784,6267,6279,5744,6046,5949,5493,4975,5469,5709,5740,5161,5163,5171,4837,6187,5637,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5923,4037,5995,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,5488,5907,6652,4059,5951,6934,5495,5899,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5335,6351,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4529,4401,3592,3536,3681,3673,2254,4766,2083,3300,1872,2435,3338,2837,2971,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4786,4434,2651,2431,3342,3240,1821,2139,3428,1938,2298,2695,3246,2368,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780,1357,1203,1186,1093,1345,1703,926,1360,1072,1155,799,1196,1184,1026,932,1662,766,1541,1424,1558,1428,1087,955,1426,1441,1602,1235,1170,1611,1496,1321,1754,1232,1596])).
% 54.42/54.19 cnf(7019,plain,
% 54.42/54.19 (~P10(a69,x70191,x70191)),
% 54.42/54.19 inference(rename_variables,[],[589])).
% 54.42/54.19 cnf(7021,plain,
% 54.42/54.19 (~P9(a69,f11(a69,f4(a1,a73),x70211),f11(a69,a78,f3(a69)))),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,6794,501,511,545,546,559,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,6854,6933,557,500,529,227,254,406,452,350,484,494,6570,444,6786,544,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,7013,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,6896,6970,6977,236,240,244,288,480,6533,6752,6828,6847,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6927,6969,6990,6587,6725,6728,6736,395,381,497,6674,6769,6919,527,6436,6457,496,6406,6494,6536,564,589,6485,6867,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,6887,208,449,6322,6353,6505,248,271,397,393,510,270,599,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,4510,4012,6022,5291,5091,4573,4750,4752,5442,5533,5097,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,5644,6013,6340,6386,6388,4625,5802,5503,6191,5524,5411,5717,5446,5579,5556,5201,5784,6267,6279,5744,6046,5949,5493,4975,5469,5709,5740,5161,5163,5171,4837,6187,5637,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5923,4037,5995,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,5488,5907,6652,4059,5951,6934,5495,5899,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5335,6351,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4529,4401,3592,3536,3681,3673,2254,4766,2083,3300,1872,2435,3338,2837,2971,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4786,4434,2651,2431,3342,3240,1821,2139,3428,1938,2298,2695,3246,2368,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780,1357,1203,1186,1093,1345,1703,926,1360,1072,1155,799,1196,1184,1026,932,1662,766,1541,1424,1558,1428,1087,955,1426,1441,1602,1235,1170,1611,1496,1321,1754,1232,1596,1783,1350])).
% 54.42/54.19 cnf(7040,plain,
% 54.42/54.19 (~P10(a70,f11(a70,f8(a70,x70401,f3(a70)),f3(a70)),x70401)),
% 54.42/54.19 inference(rename_variables,[],[5382])).
% 54.42/54.19 cnf(7056,plain,
% 54.42/54.19 (~P9(a69,f11(a69,f53(f53(f10(a69),x70561),x70562),f11(a69,f53(f53(f10(a69),f8(a69,x70561,x70561)),x70562),f11(a69,f4(a1,a73),x70563))),x70563)),
% 54.42/54.19 inference(scs_inference,[],[205,310,575,525,6794,501,511,545,546,559,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,6854,6933,557,500,529,227,254,406,452,350,484,494,6570,444,6786,544,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,7013,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,6896,6970,6977,236,240,244,288,336,480,6533,6752,6828,6847,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6927,6969,6990,6587,6725,6728,6736,395,381,497,6674,6769,6919,527,6436,6457,496,6406,6494,6536,564,589,6485,6867,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,6887,208,449,6322,6353,6505,248,271,397,393,510,270,599,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,601,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,4510,4012,6022,5291,5091,4573,4750,4752,5442,5533,5097,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,5644,6806,6013,6340,6386,6388,4625,5802,5503,6191,5524,5411,5717,5446,5579,5556,5201,5784,6267,6279,5744,6046,5949,5493,4975,5469,5709,5740,5161,5163,5171,4837,6187,5637,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5814,5923,4037,5995,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,5488,5907,6652,6951,4059,5951,6934,5495,5899,5605,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5382,5335,6351,4633,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4529,4401,2575,2576,3592,3536,3681,3673,4939,2254,4766,2083,3300,1872,2435,3338,2837,2971,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4786,4434,2651,2431,3342,3240,1821,2139,3428,1938,2298,2695,3246,2368,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780,1357,1203,1186,1093,1345,1703,926,1360,1072,1155,799,1196,1184,1026,932,1662,766,1541,1424,1558,1428,1087,955,1426,1441,1602,1235,1170,1611,1496,1321,1754,1232,1596,1783,1350,982,1088,1124,1245,1089,1375,1423,712,845,1312,996,1276,976,740,1416])).
% 54.42/54.19 cnf(7060,plain,
% 54.42/54.19 (~P10(a69,x70601,f2(a69))),
% 54.42/54.19 inference(rename_variables,[],[592])).
% 54.42/54.19 cnf(7063,plain,
% 54.42/54.19 (P9(a68,f9(a68,f53(f53(f10(a68),x70631),x70631)),f53(f53(f10(a68),x70632),x70632))),
% 54.42/54.19 inference(rename_variables,[],[529])).
% 54.42/54.19 cnf(7068,plain,
% 54.42/54.19 (P10(a70,x70681,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x70681,f9(a70,f2(a70)))),f3(a70))),f3(a70)))),
% 54.42/54.19 inference(rename_variables,[],[5921])).
% 54.42/54.19 cnf(7070,plain,
% 54.42/54.19 (~P10(a70,x70701,f9(a70,f9(a70,x70701)))),
% 54.42/54.20 inference(scs_inference,[],[205,310,575,525,6794,501,511,545,546,559,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,6854,6933,557,500,529,227,254,406,452,350,484,494,6570,444,6786,544,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,7013,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,6896,6970,6977,6982,236,240,244,288,336,480,6533,6752,6828,6847,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6927,6969,6990,6587,6725,6728,6736,395,381,497,6674,6769,6919,527,6436,6457,496,6406,6494,6536,564,589,6485,6867,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,6887,208,449,6322,6353,6505,248,271,397,393,510,270,599,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,601,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,4510,4012,6022,5291,5091,4573,4750,4752,5442,5533,5097,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,5644,6806,6013,6340,6386,6388,4625,5802,5503,6191,5524,5411,5717,5446,5579,5556,5201,5784,6267,6279,5744,6046,5949,5493,4975,5469,5709,5740,5161,5163,5171,4837,6187,5637,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5814,5923,4037,5995,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,6879,5488,5907,6652,6951,4059,5951,6934,5495,5899,5605,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5382,5335,6351,4633,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,5270,4529,4401,2575,2576,3592,3536,3681,3673,4939,2254,4766,2083,3300,1872,2435,3338,2837,2971,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4786,4434,2651,6360,2431,3342,3240,1821,2139,3428,1938,4948,2298,2695,3246,2368,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780,1357,1203,1186,1093,1345,1703,926,1360,1072,1155,799,1196,1184,1026,932,1662,766,1541,1424,1558,1428,1087,955,1426,1441,1602,1235,1170,1611,1496,1321,1754,1232,1596,1783,1350,982,1088,1124,1245,1089,1375,1423,712,845,1312,996,1276,976,740,1416,931,1698,1021,1166])).
% 54.42/54.20 cnf(7073,plain,
% 54.42/54.20 (~P14(a70,f8(a69,f11(a69,x70731,f53(f20(a70),f11(a70,f3(a70),f3(a70)))),f11(a69,x70731,f2(a69))))),
% 54.42/54.20 inference(scs_inference,[],[205,310,575,525,6794,501,511,545,546,559,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,6854,6933,557,500,529,227,254,406,452,350,484,494,6570,444,6786,544,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,7013,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,6896,6970,6977,6982,236,240,244,288,336,480,6533,6752,6828,6847,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6927,6969,6990,6587,6725,6728,6736,395,381,497,6674,6769,6919,527,6436,6457,496,6406,6494,6536,564,589,6485,6867,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,6887,208,449,6322,6353,6505,248,271,397,393,510,270,599,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,601,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,4510,4012,6022,5291,5091,4573,4750,4752,5442,5533,5097,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,5644,6806,6013,6340,6386,6388,4625,5802,5503,6191,5524,5411,5717,5446,5579,5556,5201,5784,6267,6279,5744,6046,5949,5493,4975,5469,5709,5740,5161,5163,5171,4837,6187,5637,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5814,5923,4037,5995,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,6879,5488,5907,6652,6951,4059,5951,6934,5495,5899,5605,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5382,5335,6351,4633,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,6050,5270,4529,4401,2575,2576,3592,3536,3681,3673,4939,2254,4766,2083,3300,1872,2435,3338,2837,2971,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4786,4434,2651,6360,2431,3342,3240,1821,2139,3428,1938,4948,2298,2695,3246,2368,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780,1357,1203,1186,1093,1345,1703,926,1360,1072,1155,799,1196,1184,1026,932,1662,766,1541,1424,1558,1428,1087,955,1426,1441,1602,1235,1170,1611,1496,1321,1754,1232,1596,1783,1350,982,1088,1124,1245,1089,1375,1423,712,845,1312,996,1276,976,740,1416,931,1698,1021,1166,194])).
% 54.42/54.20 cnf(7074,plain,
% 54.42/54.20 (E(f8(a69,f11(a69,x70741,x70742),f11(a69,x70741,x70743)),f8(a69,x70742,x70743))),
% 54.42/54.20 inference(rename_variables,[],[525])).
% 54.42/54.20 cnf(7076,plain,
% 54.42/54.20 (~P9(f53(f53(f10(a70),f3(a70)),a69),f4(a1,a73),f11(a69,a78,f3(a69)))),
% 54.42/54.20 inference(scs_inference,[],[205,310,575,525,6794,501,511,545,546,559,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,6854,6933,557,500,529,227,254,406,452,6884,350,484,494,6570,444,6786,544,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,7013,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,6896,6970,6977,6982,236,240,244,288,336,480,6533,6752,6828,6847,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6927,6969,6990,6587,6725,6728,6736,395,381,497,6674,6769,6919,527,6436,6457,496,6406,6494,6536,564,589,6485,6867,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,6887,208,449,6322,6353,6505,248,271,397,393,510,270,599,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,601,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,4510,4012,6022,5291,5091,4573,4750,4752,5442,5533,5097,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,5644,6806,6013,6340,6386,6388,4625,5802,5503,6191,5524,5411,5717,5446,5579,5556,5201,5784,6267,6279,5744,5866,6046,5949,5493,4975,5469,5709,5740,5161,5163,5171,4837,6187,5637,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5814,5923,4037,5995,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,6879,5488,5907,6652,6951,4059,5951,6934,5495,5899,5605,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5382,5335,6351,4633,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,6050,5270,4529,4401,2575,2576,3592,3536,3681,3673,4939,2254,4766,2083,3300,1872,2435,3338,2837,2971,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4786,4434,2651,6360,2431,3342,3240,1821,2139,3428,1938,4948,2298,2695,3246,2368,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780,1357,1203,1186,1093,1345,1703,926,1360,1072,1155,799,1196,1184,1026,932,1662,766,1541,1424,1558,1428,1087,955,1426,1441,1602,1235,1170,1611,1496,1321,1754,1232,1596,1783,1350,982,1088,1124,1245,1089,1375,1423,712,845,1312,996,1276,976,740,1416,931,1698,1021,1166,194,124,120])).
% 54.42/54.20 cnf(7077,plain,
% 54.42/54.20 (E(f53(f53(f10(a70),f3(a70)),x70771),x70771)),
% 54.42/54.20 inference(rename_variables,[],[452])).
% 54.42/54.20 cnf(7078,plain,
% 54.42/54.20 (~P10(f53(f53(f10(a70),f3(a70)),a69),x70781,x70781)),
% 54.42/54.20 inference(scs_inference,[],[205,310,575,525,6794,501,511,545,546,559,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,6854,6933,557,500,529,227,254,406,452,6884,7077,350,484,494,6570,444,6786,544,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,7013,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,6896,6970,6977,6982,236,240,244,288,336,480,6533,6752,6828,6847,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6927,6969,6990,6587,6725,6728,6736,395,381,497,6674,6769,6919,527,6436,6457,496,6406,6494,6536,564,589,6485,6867,7019,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,6887,208,449,6322,6353,6505,248,271,397,393,510,270,599,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,601,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,4510,4012,6022,5291,5091,4573,4750,4752,5442,5533,5097,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,5644,6806,6013,6340,6386,6388,4625,5802,5503,6191,5524,5411,5717,5446,5579,5556,5201,5784,6267,6279,5744,5866,6046,5949,5493,4975,5469,5709,5740,5161,5163,5171,4837,6187,5637,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5814,5923,4037,5995,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,6879,5488,5907,6652,6951,4059,5951,6934,5495,5899,5605,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5382,5335,6351,4633,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,6050,5270,4529,4401,2575,2576,3592,3536,3681,3673,4939,2254,4766,2083,3300,1872,2435,3338,2837,2971,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4786,4434,2651,6360,2431,3342,3240,1821,2139,3428,1938,4948,2298,2695,3246,2368,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780,1357,1203,1186,1093,1345,1703,926,1360,1072,1155,799,1196,1184,1026,932,1662,766,1541,1424,1558,1428,1087,955,1426,1441,1602,1235,1170,1611,1496,1321,1754,1232,1596,1783,1350,982,1088,1124,1245,1089,1375,1423,712,845,1312,996,1276,976,740,1416,931,1698,1021,1166,194,124,120,114])).
% 54.42/54.20 cnf(7079,plain,
% 54.42/54.20 (E(f53(f53(f10(a70),f3(a70)),x70791),x70791)),
% 54.42/54.20 inference(rename_variables,[],[452])).
% 54.42/54.20 cnf(7081,plain,
% 54.42/54.20 (P9(a68,f9(a68,f53(f53(f10(a68),x70811),x70811)),f53(f53(f10(a68),x70812),x70812))),
% 54.42/54.20 inference(rename_variables,[],[529])).
% 54.42/54.20 cnf(7083,plain,
% 54.42/54.20 (~E(f11(a68,f26(a69,f24(f7(a68,f9(a68,f3(a68))))),f3(a68)),f7(a68,f9(a68,f3(a68))))),
% 54.42/54.20 inference(scs_inference,[],[205,310,575,525,6794,501,511,513,545,546,559,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,6854,6933,557,500,529,7063,227,254,406,452,6884,7077,350,484,494,6570,444,6786,544,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,7013,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,6896,6970,6977,6982,236,240,244,288,336,480,6533,6752,6828,6847,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6927,6969,6990,6587,6725,6728,6736,395,381,497,6674,6769,6919,527,6436,6457,496,6406,6494,6536,564,589,6485,6867,7019,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,6887,208,449,6322,6353,6505,248,271,397,393,510,270,599,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,601,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,4510,4012,6022,5291,5091,4573,4750,4752,5442,5533,5097,4531,5473,5262,5252,5721,6344,6348,5590,6454,5564,6584,6631,5670,6159,5644,6806,6013,6340,6386,6388,4625,5802,5503,6191,5524,5411,5717,5446,5579,5556,5201,5784,6267,6279,5744,5866,6046,5949,5493,4975,5469,5709,5740,5161,5163,5171,4837,6187,5637,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5814,5923,4037,5995,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,6879,5488,5907,6652,6951,4059,5951,6934,5495,5899,5605,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5382,5335,6351,4633,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,6050,5270,4529,4401,2575,2576,3592,3536,3681,3673,4939,2254,4766,2083,3300,1872,2435,3338,2837,2971,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4786,4434,2651,6360,2431,3342,3240,1821,2139,3428,1938,4948,2298,2695,3246,2368,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780,1357,1203,1186,1093,1345,1703,926,1360,1072,1155,799,1196,1184,1026,932,1662,766,1541,1424,1558,1428,1087,955,1426,1441,1602,1235,1170,1611,1496,1321,1754,1232,1596,1783,1350,982,1088,1124,1245,1089,1375,1423,712,845,1312,996,1276,976,740,1416,931,1698,1021,1166,194,124,120,114,122,116])).
% 54.42/54.20 cnf(7084,plain,
% 54.42/54.20 (P10(a68,x70841,f11(a68,f26(a69,f24(x70841)),f3(a68)))),
% 54.42/54.20 inference(rename_variables,[],[515])).
% 54.42/54.20 cnf(7085,plain,
% 54.42/54.20 (~P10(a68,x70851,x70851)),
% 54.42/54.20 inference(rename_variables,[],[1811])).
% 54.42/54.20 cnf(7086,plain,
% 54.42/54.20 (~E(f11(a69,f8(a69,x70861,x70862),f4(a1,a73)),f8(a69,f11(a69,x70863,x70861),f11(a69,x70863,x70862)))),
% 54.42/54.20 inference(scs_inference,[],[205,310,575,525,6794,7074,501,511,513,545,546,559,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,6854,6933,557,500,529,7063,227,254,406,452,6884,7077,350,484,494,6570,444,6786,544,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,7013,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,6896,6970,6977,6982,236,240,244,288,336,480,6533,6752,6828,6847,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6927,6969,6990,6587,6725,6728,6736,395,381,497,6674,6769,6919,527,6436,6457,496,6406,6494,6536,564,589,6485,6867,7019,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,6887,208,449,6322,6353,6505,248,271,397,393,510,270,599,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,601,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,4510,4012,6022,5291,5091,4573,4750,4752,5442,5533,5097,4531,5473,5262,5252,5721,6344,6348,5590,6454,6918,5564,6584,6631,5670,6159,5644,6806,6013,6340,6386,6388,4625,5802,5503,6191,5524,5411,5717,5446,5579,5556,5201,5784,6267,6279,5744,5866,6046,5949,5493,4975,5469,5709,5740,5161,5163,5171,4837,6187,5637,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5814,5923,4037,5995,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,6879,5488,5907,6652,6951,4059,5951,6934,5495,5899,5605,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5382,5335,6351,4633,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,6050,5270,4529,4401,2575,2576,3592,3536,3681,3673,4939,2254,4766,2083,3300,1872,2435,3338,2837,2971,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4786,4434,2651,6360,2431,3342,3240,1821,2139,3428,1938,4948,2298,2695,3246,2368,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780,1357,1203,1186,1093,1345,1703,926,1360,1072,1155,799,1196,1184,1026,932,1662,766,1541,1424,1558,1428,1087,955,1426,1441,1602,1235,1170,1611,1496,1321,1754,1232,1596,1783,1350,982,1088,1124,1245,1089,1375,1423,712,845,1312,996,1276,976,740,1416,931,1698,1021,1166,194,124,120,114,122,116,3])).
% 54.42/54.20 cnf(7087,plain,
% 54.42/54.20 (~E(f11(a69,x70871,f4(a1,a73)),x70871)),
% 54.42/54.20 inference(rename_variables,[],[5590])).
% 54.42/54.20 cnf(7088,plain,
% 54.42/54.20 (~P12(f53(f53(f10(a70),f3(a70)),f13(f26(a69,f24(f26(a69,a68))))),f2(f72(a68)))),
% 54.42/54.20 inference(scs_inference,[],[205,310,575,525,6794,7074,501,511,513,545,546,559,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,6854,6933,557,500,529,7063,227,254,406,452,6884,7077,7079,350,484,494,6570,444,6786,544,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,7013,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,6896,6970,6977,6982,236,240,244,288,336,480,6533,6752,6828,6847,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6927,6969,6990,6587,6725,6728,6736,395,381,497,6674,6769,6919,527,6436,6457,496,6406,6494,6536,564,589,6485,6867,7019,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,6887,208,449,6322,6353,6505,248,271,397,393,510,270,599,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,601,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,4510,4012,6022,5291,5091,4573,4750,4752,5442,5533,5097,4531,5473,5262,5252,5721,6344,6348,5590,6454,6918,5564,6584,6631,5670,6159,5644,6806,6013,6340,6386,6388,4625,5802,5503,6191,5524,5411,5717,5446,5579,5556,4986,5201,5784,6267,6279,5744,5866,6046,5949,5493,4975,5469,5709,5740,5161,5163,5171,4837,6187,5637,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5814,5923,4037,5995,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,6879,5488,5907,6652,6951,4059,5951,6934,5495,5899,5605,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5382,5335,6351,4633,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,6050,5270,4529,4401,2575,2576,3592,3536,3681,3673,4939,2254,4766,2083,3300,1872,2435,3338,2837,2971,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4786,4434,2651,6360,2431,3342,3240,1821,2139,3428,1938,4948,2298,2695,3246,2368,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780,1357,1203,1186,1093,1345,1703,926,1360,1072,1155,799,1196,1184,1026,932,1662,766,1541,1424,1558,1428,1087,955,1426,1441,1602,1235,1170,1611,1496,1321,1754,1232,1596,1783,1350,982,1088,1124,1245,1089,1375,1423,712,845,1312,996,1276,976,740,1416,931,1698,1021,1166,194,124,120,114,122,116,3,172])).
% 54.42/54.20 cnf(7090,plain,
% 54.42/54.20 (~P12(f13(f26(a69,f24(f26(a69,a68)))),f53(f53(f10(a69),f2(f72(a68))),f3(a69)))),
% 54.42/54.20 inference(scs_inference,[],[205,310,575,525,6794,7074,501,511,513,545,546,559,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,6854,6933,557,500,529,7063,227,254,406,452,6884,7077,7079,350,484,494,6570,444,6786,6862,544,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,7013,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,6896,6970,6977,6982,236,240,244,288,336,480,6533,6752,6828,6847,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6927,6969,6990,6587,6725,6728,6736,395,381,497,6674,6769,6919,527,6436,6457,496,6406,6494,6536,564,589,6485,6867,7019,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,6887,208,449,6322,6353,6505,248,271,397,393,510,270,599,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,601,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,4510,4012,6022,5291,5091,4573,4750,4752,5442,5533,5097,4531,5473,5262,5252,5721,6344,6348,5590,6454,6918,5564,6584,6631,5670,6159,5644,6806,6013,6340,6386,6388,4625,5802,5503,6191,5524,5411,5717,5446,5579,5556,4986,5201,5784,6267,6279,5744,5866,6046,5949,5493,4975,6065,5469,5709,5740,5161,5163,5171,4837,6187,5637,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5814,5923,4037,5995,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,6879,5488,5907,6652,6951,4059,5951,6934,5495,5899,5605,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5382,5335,6351,4633,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,6050,5270,4529,4401,2575,2576,3592,3536,3681,3673,4939,2254,4766,2083,3300,1872,2435,3338,2837,2971,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4786,4434,2651,6360,2431,3342,3240,1821,2139,3428,1938,4948,2298,2695,3246,2368,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780,1357,1203,1186,1093,1345,1703,926,1360,1072,1155,799,1196,1184,1026,932,1662,766,1541,1424,1558,1428,1087,955,1426,1441,1602,1235,1170,1611,1496,1321,1754,1232,1596,1783,1350,982,1088,1124,1245,1089,1375,1423,712,845,1312,996,1276,976,740,1416,931,1698,1021,1166,194,124,120,114,122,116,3,172,153,173])).
% 54.42/54.20 cnf(7092,plain,
% 54.42/54.20 (~E(x70921,f11(a69,f9(a70,f11(a68,f9(a70,f8(a69,f11(a68,f53(f53(f10(a68),f8(a68,x70922,x70922)),x70923),x70921),f11(a68,f53(f53(f10(a68),f8(a68,x70922,x70922)),x70923),x70921))),f3(a68))),f11(a68,f53(f53(f10(a68),f8(a68,x70922,x70922)),x70923),x70921)))),
% 54.42/54.20 inference(scs_inference,[],[205,310,604,575,525,6794,7074,501,511,513,545,546,559,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,6854,6933,557,500,529,7063,227,254,406,452,6884,7077,7079,350,484,494,6570,444,6786,6862,544,498,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,7013,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,6896,6970,6977,6982,236,240,244,288,336,480,6533,6752,6828,6847,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6927,6969,6990,6587,6725,6728,6736,395,381,497,6674,6769,6919,527,6436,6457,496,6406,6494,6536,564,589,6485,6867,7019,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,6887,208,449,6322,6353,6505,248,271,397,393,510,270,599,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,601,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,4510,4012,6022,5291,5091,4573,4750,4752,5442,5533,5097,4531,5473,5262,5252,5721,6344,6348,5590,6454,6918,5564,6584,6631,5670,6159,5644,6806,6013,6340,6386,6388,4625,5802,5503,6191,5524,5411,5717,5446,5579,6809,5556,4986,5201,5784,6267,6279,5744,5866,6046,5949,5493,4975,6065,5469,5709,5740,5161,5163,5171,4837,6187,5637,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5814,5923,4037,5995,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,6879,5488,5907,6652,6951,4059,5951,6934,5495,5899,5605,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5382,5335,6351,4633,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,6050,5270,4529,4401,2575,2576,3592,3536,3681,3673,4939,2254,4766,2083,3300,1872,2435,3338,2837,2971,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4786,4434,2651,6360,2431,3342,3240,1821,2139,3428,1938,4948,2298,2695,3246,2368,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780,1357,1203,1186,1093,1345,1703,926,1360,1072,1155,799,1196,1184,1026,932,1662,766,1541,1424,1558,1428,1087,955,1426,1441,1602,1235,1170,1611,1496,1321,1754,1232,1596,1783,1350,982,1088,1124,1245,1089,1375,1423,712,845,1312,996,1276,976,740,1416,931,1698,1021,1166,194,124,120,114,122,116,3,172,153,173,145,21])).
% 54.42/54.20 cnf(7095,plain,
% 54.42/54.20 (~E(x70951,f11(a70,f3(a70),f11(a1,f53(f53(f10(a1),f8(a1,x70952,x70952)),x70953),f9(a70,x70951))))),
% 54.42/54.20 inference(scs_inference,[],[205,310,604,575,525,6794,7074,501,511,513,545,546,559,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,6854,6933,557,500,529,7063,227,254,406,452,6884,7077,7079,350,484,494,6570,444,6786,6862,544,498,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,7013,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,6896,6970,6977,6982,236,240,244,288,336,480,6533,6752,6828,6847,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6927,6969,6990,6587,6725,6728,6736,395,381,497,6674,6769,6919,527,6436,6457,496,6406,6494,6536,564,589,6485,6867,7019,1811,6703,6818,6823,232,251,463,6357,6437,592,495,6561,418,211,600,6731,6887,208,449,6322,6353,6505,248,271,397,393,510,270,599,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,601,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6024,4508,5347,4510,4012,6022,5291,5091,4573,4750,4752,5442,5533,5097,4531,5473,5262,5252,5721,6344,6348,5590,6454,6918,5564,6584,6631,5670,6159,5644,6806,6013,6340,6386,6388,4625,5802,5503,6191,5524,5411,5717,5446,5579,6809,5556,4986,5201,5784,6267,6279,5744,5866,6046,5949,5493,4975,6065,5469,5709,5740,5161,5163,5171,4837,6187,5637,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5814,5923,4037,5995,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,6879,5488,5907,6652,6951,4059,5951,6934,5495,5899,5605,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5382,5335,6351,4633,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,6050,5270,4529,4401,2575,2576,3592,3536,3681,3673,4939,2254,4766,2083,3300,1872,2435,3338,2837,2971,2192,3665,4328,4541,4404,2296,2326,2370,2636,2665,4533,6326,6363,4536,4786,4434,2651,6360,2431,3342,3240,1821,2139,3428,1938,4948,2298,2695,3246,2368,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780,1357,1203,1186,1093,1345,1703,926,1360,1072,1155,799,1196,1184,1026,932,1662,766,1541,1424,1558,1428,1087,955,1426,1441,1602,1235,1170,1611,1496,1321,1754,1232,1596,1783,1350,982,1088,1124,1245,1089,1375,1423,712,845,1312,996,1276,976,740,1416,931,1698,1021,1166,194,124,120,114,122,116,3,172,153,173,145,21,2,23])).
% 54.42/54.20 cnf(7101,plain,
% 54.42/54.20 (E(f11(a70,x71011,f2(a70)),x71011)),
% 54.42/54.20 inference(rename_variables,[],[465])).
% 54.42/54.20 cnf(7107,plain,
% 54.42/54.20 (~E(f11(a69,x71071,f4(a1,a73)),x71071)),
% 54.42/54.20 inference(rename_variables,[],[5590])).
% 54.42/54.20 cnf(7111,plain,
% 54.42/54.20 (P10(a69,f2(a69),f11(a69,f24(f2(a68)),f3(a69)))),
% 54.42/54.20 inference(scs_inference,[],[205,310,604,575,525,6794,7074,501,511,513,545,546,559,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,6854,6933,557,500,529,7063,7081,227,254,406,452,6884,7077,7079,350,484,494,6570,444,6786,6862,544,498,465,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,7013,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,6896,6970,6977,6982,236,240,244,288,336,480,6533,6752,6828,6847,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6927,6969,6990,7084,6587,6725,6728,6736,395,381,497,6674,6769,6919,527,6436,6457,496,6406,6494,6536,564,589,6485,6867,7019,1811,6703,6818,6823,7085,232,251,463,6357,6437,592,495,6561,418,211,600,6731,6887,208,449,6322,6353,6505,248,271,397,393,510,270,599,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,601,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6063,6024,4508,5347,4510,4012,6022,5291,5091,4573,4750,4752,5442,5533,5097,4531,5473,5262,5252,5721,6344,6348,5590,6454,6918,7087,5564,6584,6631,5670,6159,5644,6806,6013,6340,6386,6388,4625,5802,5503,6191,5524,5411,5717,5446,5579,6809,5556,4986,5201,6061,5784,6267,6279,5744,5866,6046,5949,5375,5493,4975,6065,5469,5709,5740,5161,5163,5171,4837,6187,5637,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5814,5923,4037,5995,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,6879,5488,5907,6652,6951,4059,5951,6934,5495,5899,5605,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5382,5335,6351,4633,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,6050,5270,4529,4401,2575,2576,3592,3536,3681,3673,4939,2254,4766,2083,3300,1872,2435,3338,2837,2971,2192,3665,4328,4541,4404,2180,2296,2326,2370,2636,2665,4533,6326,6363,4536,4786,4434,2651,6360,2431,3342,3240,1821,2139,3428,1938,4948,2298,2695,3246,2368,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780,1357,1203,1186,1093,1345,1703,926,1360,1072,1155,799,1196,1184,1026,932,1662,766,1541,1424,1558,1428,1087,955,1426,1441,1602,1235,1170,1611,1496,1321,1754,1232,1596,1783,1350,982,1088,1124,1245,1089,1375,1423,712,845,1312,996,1276,976,740,1416,931,1698,1021,1166,194,124,120,114,122,116,3,172,153,173,145,21,2,23,121,8,193,157,7,115,1188,1651,1333])).
% 54.42/54.20 cnf(7117,plain,
% 54.42/54.20 (~P9(a69,f24(f26(a69,f11(a69,x71171,f3(a69)))),x71171)),
% 54.42/54.20 inference(scs_inference,[],[205,310,604,575,525,6794,7074,501,511,513,545,546,559,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,6854,6933,557,500,529,7063,7081,227,254,406,452,6884,7077,7079,350,484,494,6570,444,6786,6862,544,498,465,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,7013,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,6896,6970,6977,6982,236,240,244,288,336,480,6533,6752,6828,6847,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6927,6969,6990,7084,6587,6725,6728,6736,395,381,497,6674,6769,6919,527,6436,6457,496,6406,6494,6536,564,589,6485,6867,7019,1811,6703,6818,6823,7085,232,251,463,6357,6437,592,495,6561,418,211,600,6731,6887,208,449,6322,6353,6505,248,271,397,393,510,270,599,407,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,601,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6063,6024,4508,5347,4510,4012,6022,5291,5091,4573,4750,4752,5442,5533,5097,4531,5473,5262,5252,5721,6344,6348,5590,6454,6918,7087,5564,6584,6631,5670,6159,5644,6806,6013,6340,6386,6388,4625,5802,5503,6191,5524,5411,5717,5446,5195,5579,6809,5556,4986,5201,6061,5784,6267,6279,5744,5866,6046,5949,5375,5493,4975,6065,5469,5709,5740,5161,5163,5171,4837,6187,5637,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5814,5923,4037,5995,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,6879,5488,5907,6652,6951,4059,5951,6934,5495,5899,5605,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5382,5335,6351,4633,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,6050,5270,4529,4401,2575,2576,3592,3536,3681,3673,4939,2254,4766,2083,3300,1872,2435,3338,2837,2971,2192,3665,4328,4541,4404,2180,2296,2326,2370,2636,2665,4533,6326,6363,4536,4786,4434,2651,6360,2431,3342,3240,1821,2139,3428,1938,4948,2298,2695,3246,2368,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780,1357,1203,1186,1093,1345,1703,926,1360,1072,1155,799,1196,1184,1026,932,1662,766,1541,1424,1558,1428,1087,955,1426,1441,1602,1235,1170,1611,1496,1321,1754,1232,1596,1783,1350,982,1088,1124,1245,1089,1375,1423,712,845,1312,996,1276,976,740,1416,931,1698,1021,1166,194,124,120,114,122,116,3,172,153,173,145,21,2,23,121,8,193,157,7,115,1188,1651,1333,980,1165,1417])).
% 54.42/54.20 cnf(7132,plain,
% 54.42/54.20 (E(x71321,f8(a69,f11(a69,x71321,x71322),x71322))),
% 54.42/54.20 inference(scs_inference,[],[205,310,604,575,525,6794,7074,501,511,513,545,546,559,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,6854,6933,557,500,529,7063,7081,227,254,406,452,6884,7077,7079,350,484,494,6570,444,6786,6862,544,498,465,7101,451,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,7013,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,6896,6970,6977,6982,236,240,244,288,336,480,6533,6752,6828,6847,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6927,6969,6990,7084,6587,6725,6728,6736,395,381,497,6674,6769,6919,527,6436,6457,496,6406,6494,6536,564,589,6485,6867,7019,1811,6703,6818,6823,7085,232,251,463,6357,6437,592,495,6561,418,211,600,6731,6887,208,449,6322,6353,6505,248,271,397,393,510,270,599,407,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,601,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6063,6024,4508,5347,4510,4012,6022,5291,5091,4573,4750,4752,5442,5533,5097,4531,5473,5262,5252,5721,6344,6348,5590,6454,6918,7087,7107,5564,6584,6631,5670,6159,5644,6806,6013,6340,6386,6388,4625,5802,5503,6191,5524,5411,5717,5446,5195,5579,6809,5556,4986,5201,6061,5784,6267,6279,5744,5866,6046,5949,5375,5493,4975,6065,5469,5709,5740,5161,5163,5171,5181,4837,6187,5637,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5814,5923,4037,5995,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,6879,5488,5907,6652,6951,4059,5951,6934,5495,5899,5605,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5382,5335,6351,4633,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,6050,5270,4529,4401,2575,2576,3592,3536,3681,3673,4939,2254,4766,2083,3300,1872,2435,3338,2837,2971,2192,3665,4328,4541,4404,2180,2296,2326,2370,2636,2665,4533,6326,6363,4536,4786,4434,2651,6360,2431,3342,3240,1821,2139,3428,1938,4948,2298,2695,3246,2368,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780,1357,1203,1186,1093,1345,1703,926,1360,1072,1155,799,1196,1184,1026,932,1662,766,1541,1424,1558,1428,1087,955,1426,1441,1602,1235,1170,1611,1496,1321,1754,1232,1596,1783,1350,982,1088,1124,1245,1089,1375,1423,712,845,1312,996,1276,976,740,1416,931,1698,1021,1166,194,124,120,114,122,116,3,172,153,173,145,21,2,23,121,8,193,157,7,115,1188,1651,1333,980,1165,1417,1358,871,787,694,690,1552,1067])).
% 54.42/54.20 cnf(7139,plain,
% 54.42/54.20 (~P56(a70)),
% 54.42/54.20 inference(scs_inference,[],[205,310,604,575,525,6794,7074,501,511,513,545,546,559,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,6854,6933,557,500,529,7063,7081,227,254,406,452,6884,7077,7079,350,484,494,6570,444,6786,6862,544,498,465,7101,451,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,7013,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,6896,6970,6977,6982,236,240,244,288,336,480,6533,6752,6828,6847,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6927,6969,6990,7084,6587,6725,6728,6736,395,381,497,6674,6769,6919,527,6436,6457,496,6406,6494,6536,564,589,6485,6867,7019,1811,6703,6818,6823,7085,232,251,463,6357,6437,592,495,6561,418,211,600,6731,6887,208,449,6322,6353,6505,248,271,397,393,510,270,599,407,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,601,307,305,329,349,247,587,273,376,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6063,6024,4508,5347,4510,4012,6022,5291,5091,4573,4750,4752,5442,5533,5097,4531,5473,5262,5252,5721,6344,6348,5590,6454,6918,7087,7107,5564,6584,6631,5670,6159,5644,6806,6013,6340,6386,6388,4625,5802,5503,6191,5524,5411,5717,5446,5195,5579,6809,5556,4986,5201,6061,5784,6267,6279,5744,5866,6046,5949,5375,5493,4975,6065,5469,5709,5740,5161,5163,5171,5181,4837,6187,5637,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5814,5923,4037,5995,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,6879,5488,5907,6652,6951,4059,5951,6934,5495,5899,5605,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5382,7040,5335,6351,4633,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,6050,5270,4529,4401,2575,2576,3592,3536,3681,3673,4939,2254,4766,2083,3300,1872,2240,2435,3338,2837,2971,2192,3665,4328,4541,4404,2180,2296,2326,2370,2636,2665,4533,6326,6363,4536,4786,4434,2651,6360,2431,3342,3240,1821,2139,3428,1938,4948,2298,2695,3246,2368,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780,1357,1203,1186,1093,1345,1703,926,1360,1072,1155,799,1196,1184,1026,932,1662,766,1541,1424,1558,1428,1087,955,1426,1441,1602,1235,1170,1611,1496,1321,1754,1232,1596,1783,1350,982,1088,1124,1245,1089,1375,1423,712,845,1312,996,1276,976,740,1416,931,1698,1021,1166,194,124,120,114,122,116,3,172,153,173,145,21,2,23,121,8,193,157,7,115,1188,1651,1333,980,1165,1417,1358,871,787,694,690,1552,1067,1682,1012,887])).
% 54.42/54.20 cnf(7149,plain,
% 54.42/54.20 (~P9(a68,f2(a68),f9(a68,f3(a68)))),
% 54.42/54.20 inference(scs_inference,[],[205,310,604,575,525,6794,7074,501,511,513,545,546,559,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,6854,6933,557,500,529,7063,7081,227,254,406,452,6884,7077,7079,350,484,494,6570,444,6786,6862,544,498,465,7101,451,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,7013,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,6896,6970,6977,6982,236,240,244,288,336,480,6533,6752,6828,6847,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6927,6969,6990,7084,6587,6725,6728,6736,395,381,497,6674,6769,6919,527,6436,6457,496,6406,6494,6536,564,589,6485,6867,7019,1811,6703,6818,6823,7085,232,251,463,6357,6437,592,495,6561,418,211,600,6731,6887,208,449,6322,6353,6505,6946,248,271,397,393,510,270,599,407,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,601,307,305,329,349,247,587,273,376,225,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6063,6024,4508,5347,4510,4012,6022,5291,5091,4573,4750,4752,5442,5533,5097,4531,5473,5262,5252,5721,6344,6348,5590,6454,6918,7087,7107,5564,6584,6631,5670,6159,5644,6806,6013,6340,6386,6388,4625,5802,5503,6191,5524,5411,5717,5446,5195,5579,6809,5556,4986,5201,6061,5784,6267,6279,5744,5866,6046,5949,5375,5493,4975,6065,5469,5709,5740,5161,5163,5171,5181,4837,6187,5637,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5814,5923,4037,5995,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,6879,5488,5907,6652,6951,4059,5951,6934,5495,5899,5605,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5382,7040,5335,6351,4633,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,6050,5270,4529,4401,2575,2576,3592,3536,3681,3673,4939,2254,4766,2083,3300,1872,2240,2435,3338,2837,2971,2192,3665,4328,4541,4404,2180,2296,2326,2370,2636,2665,2859,4533,6326,6363,4536,4786,4434,2651,6360,2431,3342,3240,1821,2139,3428,1938,4948,2298,2695,3246,2368,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780,1357,1203,1186,1093,1345,1703,926,1360,1072,1155,799,1196,1184,1026,932,1662,766,1541,1424,1558,1428,1087,955,1426,1441,1602,1235,1170,1611,1496,1321,1754,1232,1596,1783,1350,982,1088,1124,1245,1089,1375,1423,712,845,1312,996,1276,976,740,1416,931,1698,1021,1166,194,124,120,114,122,116,3,172,153,173,145,21,2,23,121,8,193,157,7,115,1188,1651,1333,980,1165,1417,1358,871,787,694,690,1552,1067,1682,1012,887,1382,1588,1294,20,1344])).
% 54.42/54.20 cnf(7164,plain,
% 54.42/54.20 (E(f8(a70,f11(a70,x71641,f3(a70)),f3(a70)),x71641)),
% 54.42/54.20 inference(scs_inference,[],[205,310,604,575,525,6794,7074,501,511,513,545,546,559,521,583,290,323,338,357,360,264,268,298,302,398,401,518,6417,6854,6933,557,500,529,7063,7081,227,254,406,452,6884,7077,7079,350,484,494,6570,444,6786,6862,544,498,465,7101,451,555,552,6471,6766,535,493,6440,6537,6552,6637,6668,6753,7013,447,6401,6445,6473,6520,6530,6589,6696,6746,6800,6896,6970,6977,6982,236,240,244,288,336,480,6533,6752,6828,6847,471,515,6451,6472,6478,6488,6510,6564,6588,6640,6742,6749,6895,6927,6969,6990,7084,6587,6725,6728,6736,395,381,497,6674,6769,6919,527,6436,6457,496,6406,6494,6536,564,589,6485,6867,7019,1811,6703,6818,6823,7085,232,251,463,6357,6437,592,7060,495,6561,418,211,600,6731,6887,208,449,6322,6353,6505,6946,248,271,397,393,510,270,599,407,457,296,405,228,456,390,478,585,391,479,6393,210,379,516,404,384,378,602,313,330,601,307,305,329,349,247,587,273,376,225,396,1809,473,389,392,265,377,224,272,403,214,223,388,328,275,213,348,455,219,387,292,266,504,291,474,584,274,4661,5471,6063,6024,4508,5347,4510,4012,6022,5291,5091,4573,4750,4752,5442,5533,5097,4531,5473,5262,5252,5721,6344,6348,5590,6454,6918,7087,7107,5564,6584,6631,5670,6159,5644,6806,6013,6340,6386,6388,4625,5802,5503,6191,5524,5411,5717,5446,5195,5579,6809,5556,4986,5201,6061,5784,6267,6279,5744,5866,6046,5949,5375,5493,4975,6065,5469,5709,5740,5161,5163,5171,5181,4837,6187,5637,6142,6145,6152,6249,5766,4991,4992,5508,5199,6199,5814,5923,4037,5995,5762,5350,5966,5841,5652,6641,6671,5921,6320,6352,6368,6517,6778,6879,7068,5488,5907,6652,6951,4059,5951,6934,5495,5899,5605,5868,5727,5882,5897,5558,6446,5583,6031,6716,6781,5382,7040,5335,6351,4633,5108,4612,2280,4483,6543,5794,5968,5980,6033,5417,5625,5819,5599,6289,5389,6050,5270,4529,4401,2575,2576,3592,3536,3681,3673,4939,2254,4766,2083,3300,1872,2240,2435,3338,2837,2971,2192,3665,4328,4541,4404,2180,2296,2326,2348,2370,2636,2665,2859,4533,6326,6363,4536,4786,4434,2651,6360,2431,3342,3240,1821,1824,2139,3428,1938,4948,2298,2695,3246,2368,4417,1187,1594,974,1474,1296,1576,1575,196,186,179,169,165,164,148,140,126,113,1764,142,1208,1481,1069,1390,1685,959,1684,913,1568,187,184,180,162,156,139,137,136,123,119,117,1113,125,1240,1793,1704,1420,1115,1570,1142,1753,1563,1272,1060,1271,1495,1562,901,1537,1610,1304,1397,1308,1556,991,912,1073,1443,1351,1109,918,946,1701,1439,1311,1096,768,1234,1427,1664,1011,1323,1180,1447,1407,1604,1305,1469,1448,1707,1795,1211,969,1573,1292,1200,1791,1790,1787,1467,1362,835,1210,1097,911,1438,1782,1796,1760,1233,1478,1765,850,1349,786,861,1702,863,1324,1436,1194,1163,721,1215,1569,1632,924,1361,1257,1255,1595,1517,1388,1098,1463,862,1763,1238,1559,1649,1663,879,1202,1139,1784,1676,743,1065,1421,1028,1540,1785,1237,1468,749,1608,1008,706,978,723,1147,1425,1730,975,1173,1085,1185,1013,1325,1273,1451,873,1295,1153,1143,1239,1471,1557,925,1440,1699,1378,1291,1445,1442,1334,1756,1077,1209,1789,1497,1534,1160,1706,1064,1498,160,1606,1437,1225,1214,716,1786,1761,1752,1751,1526,1485,856,1429,818,1391,899,1130,1383,1794,1354,1258,1003,1419,958,1198,693,947,1762,1461,1253,677,933,1781,1363,1422,1066,1074,1131,1102,916,1236,1561,1462,1700,997,1274,898,1101,1223,1171,689,945,1043,1406,851,1251,1500,1780,1357,1203,1186,1093,1345,1703,926,1360,1072,1155,799,1196,1184,1026,932,1662,766,1541,1424,1558,1428,1087,955,1426,1441,1602,1235,1170,1611,1496,1321,1754,1232,1596,1783,1350,982,1088,1124,1245,1089,1375,1423,712,845,1312,996,1276,976,740,1416,931,1698,1021,1166,194,124,120,114,122,116,3,172,153,173,145,21,2,23,121,8,193,157,7,115,1188,1651,1333,980,1165,1417,1358,871,787,694,690,1552,1067,1682,1012,887,1382,1588,1294,20,1344,914,1680,1681,968,1518,1364])).
% 54.42/54.20 cnf(7193,plain,
% 54.42/54.20 (~P9(a68,f26(a69,f11(a69,f24(x71931),f3(a69))),x71931)),
% 54.42/54.20 inference(scs_inference,[],[7117,1031])).
% 54.42/54.20 cnf(7194,plain,
% 54.42/54.20 (~P9(a69,f24(f26(a69,f11(a69,x71941,f3(a69)))),x71941)),
% 54.42/54.20 inference(rename_variables,[],[7117])).
% 54.42/54.20 cnf(7196,plain,
% 54.42/54.20 (P13(a1,f9(a1,f9(a1,f11(a1,f8(a1,f8(a1,x71961,f53(f53(f10(a1),x71962),f2(a1))),f53(f53(f10(a1),x71963),f2(a1))),x71964))),f11(a1,x71961,x71964))),
% 54.42/54.20 inference(scs_inference,[],[419,341,7117,5197,2258,1031,1771])).
% 54.42/54.20 cnf(7209,plain,
% 54.42/54.20 (~P10(a69,x72091,f8(a69,f2(a69),x72092))),
% 54.42/54.20 inference(rename_variables,[],[6673])).
% 54.42/54.20 cnf(7212,plain,
% 54.42/54.20 (P9(a68,f2(a68),f53(f53(f10(a68),x72121),x72121))),
% 54.42/54.20 inference(rename_variables,[],[2651])).
% 54.42/54.20 cnf(7215,plain,
% 54.42/54.20 (~E(f8(a70,f11(a70,f11(a70,x72151,f3(a70)),f11(a70,x72152,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x72152,f2(a70))),f3(a70))),f3(a70)))),f3(a70)),x72151)),
% 54.42/54.20 inference(rename_variables,[],[6780])).
% 54.42/54.20 cnf(7217,plain,
% 54.42/54.20 (P9(a68,x72171,f11(a68,f7(a68,x72171),f3(a68)))),
% 54.42/54.20 inference(rename_variables,[],[6040])).
% 54.42/54.20 cnf(7225,plain,
% 54.42/54.20 (P9(a69,x72251,f53(f53(f10(a69),x72251),f53(f53(f10(a69),x72251),x72251)))),
% 54.42/54.20 inference(rename_variables,[],[527])).
% 54.42/54.20 cnf(7227,plain,
% 54.42/54.20 (P9(a69,f2(a69),x72271)),
% 54.42/54.20 inference(rename_variables,[],[463])).
% 54.42/54.20 cnf(7230,plain,
% 54.42/54.20 (P9(a69,x72301,f53(f53(f10(a69),x72301),f53(f53(f10(a69),x72301),x72301)))),
% 54.42/54.20 inference(rename_variables,[],[527])).
% 54.42/54.20 cnf(7232,plain,
% 54.42/54.20 (P9(a69,f2(a69),x72321)),
% 54.42/54.20 inference(rename_variables,[],[463])).
% 54.42/54.20 cnf(7234,plain,
% 54.42/54.20 (P10(a69,f53(f53(f10(a69),f11(a69,f24(f2(a68)),f3(a69))),f11(a69,a78,f3(a69))),f53(f53(f10(a69),f11(a69,f24(f2(a68)),f3(a69))),f4(a1,a73)))),
% 54.42/54.20 inference(scs_inference,[],[503,446,419,497,527,7225,463,7227,460,390,341,306,247,404,329,265,388,504,291,584,4322,7111,6907,6780,7164,7117,7004,6735,6673,6040,5197,4557,4548,2047,2258,2651,4031,1031,1771,1384,764,1208,1333,1482,17,1390,1373,787,1319,1705,1576])).
% 54.42/54.20 cnf(7241,plain,
% 54.42/54.20 (~P9(a69,f11(a69,f4(a1,a73),f11(a69,x72411,f24(f26(a69,x72412)))),x72412)),
% 54.42/54.20 inference(scs_inference,[],[503,446,302,569,563,419,497,527,7225,463,7227,460,390,341,306,247,404,329,265,388,504,291,584,4322,7111,7149,6907,6780,7164,7117,7004,6735,6673,6040,6984,5197,4557,4548,2047,2258,2651,7212,4031,1031,1771,1384,764,1208,1333,1482,17,1390,1373,787,1319,1705,1576,1575,1481,1115])).
% 54.42/54.20 cnf(7248,plain,
% 54.42/54.20 (~E(f11(a69,f53(f53(f10(a69),f8(a69,x72481,x72482)),x72483),f11(a1,f11(a69,f53(f53(f10(a69),f8(a69,x72481,f8(a69,x72481,x72482))),x72483),x72484),f53(f14(a1,a80),f2(a1)))),f11(a69,f53(f53(f10(a69),x72481),x72483),x72484))),
% 54.42/54.20 inference(scs_inference,[],[503,446,302,569,563,419,497,527,7225,7230,463,7227,460,390,246,341,306,247,404,329,586,265,388,504,291,584,4322,7111,7149,6556,6907,6780,7164,7117,7004,6735,6673,6040,6984,5197,4557,4548,2047,2258,2651,7212,4031,1031,1771,1384,764,1208,1333,1482,17,1390,1373,787,1319,1705,1576,1575,1481,1115,1417,887,1753])).
% 54.42/54.20 cnf(7249,plain,
% 54.42/54.20 (~E(f11(a1,x72491,f53(f14(a1,a80),f2(a1))),x72491)),
% 54.42/54.20 inference(rename_variables,[],[6556])).
% 54.42/54.20 cnf(7252,plain,
% 54.42/54.20 (P9(a69,x72521,f11(a69,x72521,x72522))),
% 54.42/54.20 inference(rename_variables,[],[496])).
% 54.42/54.20 cnf(7262,plain,
% 54.42/54.20 (P9(a68,x72621,f26(a69,f13(x72621)))),
% 54.42/54.20 inference(rename_variables,[],[480])).
% 54.42/54.20 cnf(7265,plain,
% 54.42/54.20 (P9(a69,x72651,f53(f53(f10(a69),x72651),f53(f53(f10(a69),x72651),x72651)))),
% 54.42/54.20 inference(rename_variables,[],[527])).
% 54.42/54.20 cnf(7266,plain,
% 54.42/54.20 (~P9(a69,f11(a69,f53(f53(f10(a69),x72661),x72662),f11(a69,f53(f53(f10(a69),f8(a69,x72661,x72661)),x72662),f11(a69,f4(a1,a73),x72663))),x72663)),
% 54.42/54.20 inference(rename_variables,[],[7056])).
% 54.42/54.20 cnf(7269,plain,
% 54.42/54.20 (~P9(a69,f11(a69,f11(a69,f13(f11(a68,f26(a69,f2(a69)),f3(a68))),f8(a69,x72691,x72691)),x72691),x72691)),
% 54.42/54.20 inference(rename_variables,[],[4505])).
% 54.42/54.20 cnf(7283,plain,
% 54.42/54.20 (P9(a69,f2(a69),x72831)),
% 54.42/54.20 inference(rename_variables,[],[463])).
% 54.42/54.20 cnf(7288,plain,
% 54.42/54.20 (P10(a68,x72881,f11(a68,f26(a69,f24(x72881)),f3(a68)))),
% 54.42/54.20 inference(rename_variables,[],[515])).
% 54.42/54.20 cnf(7291,plain,
% 54.42/54.20 (P9(a70,x72911,x72911)),
% 54.42/54.20 inference(rename_variables,[],[449])).
% 54.42/54.20 cnf(7294,plain,
% 54.42/54.20 (P9(a70,x72941,x72941)),
% 54.42/54.20 inference(rename_variables,[],[449])).
% 54.42/54.20 cnf(7302,plain,
% 54.42/54.20 (P10(a70,f8(a70,x73021,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,f7(a70,f8(a70,x73022,x73021)),f9(a70,f2(a70)))),f3(a70))),f3(a70))),x73022)),
% 54.42/54.20 inference(rename_variables,[],[6516])).
% 54.42/54.20 cnf(7310,plain,
% 54.42/54.20 (P9(a70,f9(a70,f53(f53(f10(a70),f53(f53(f10(a70),f3(a70)),f3(a70))),f53(f53(f10(a70),f3(a70)),f3(a70)))),f9(a70,f2(a70)))),
% 54.42/54.20 inference(scs_inference,[],[503,1813,252,446,310,302,526,382,398,569,563,419,480,406,497,527,7225,7230,496,463,7227,7232,515,460,449,7291,600,296,390,246,341,306,516,247,404,329,384,307,587,586,265,376,473,403,275,388,292,504,266,387,291,584,4322,7111,7149,6556,7249,6907,6780,7164,4279,7117,7004,6516,4505,7056,6735,6673,7209,6040,6984,5528,6482,6825,5197,6724,4557,5786,4789,4548,2591,2047,5709,2258,2651,7212,4031,2306,1031,1771,1384,764,1208,1333,1482,17,1390,1373,787,1319,1705,1576,1575,1481,1115,1417,887,1753,1704,1358,1142,1397,1570,1537,1556,1035,1443,1562,946,1701,1294,1234,1685,1581,1067,1109,1447,918,913,1684,950])).
% 54.42/54.20 cnf(7317,plain,
% 54.42/54.20 (~P9(a70,f8(a70,f11(a70,f11(a70,x73171,f3(a70)),f11(a70,x73172,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x73172,f2(a70))),f3(a70))),f3(a70)))),f3(a70)),x73171)),
% 54.42/54.20 inference(rename_variables,[],[6715])).
% 54.42/54.20 cnf(7322,plain,
% 54.42/54.20 (P9(a68,f2(a68),f26(a69,x73221))),
% 54.42/54.20 inference(rename_variables,[],[479])).
% 54.42/54.20 cnf(7325,plain,
% 54.42/54.20 (P9(a69,f8(a69,x73251,x73252),x73251)),
% 54.42/54.20 inference(rename_variables,[],[497])).
% 54.42/54.20 cnf(7326,plain,
% 54.42/54.20 (~P9(a69,f11(a69,f53(f53(f10(a69),x73261),x73262),f11(a69,f53(f53(f10(a69),f8(a69,x73261,x73261)),x73262),f11(a69,f4(a1,a73),x73263))),x73263)),
% 54.42/54.20 inference(rename_variables,[],[7056])).
% 54.42/54.20 cnf(7329,plain,
% 54.42/54.20 (~P9(a70,f11(a70,f53(f53(f10(a70),x73291),x73292),f11(a70,f11(a70,f53(f53(f10(a70),f8(a70,x73293,x73291)),x73292),x73294),f3(a70))),f11(a70,f53(f53(f10(a70),x73293),x73292),x73294))),
% 54.42/54.20 inference(rename_variables,[],[5750])).
% 54.42/54.20 cnf(7340,plain,
% 54.42/54.20 (P9(a69,x73401,f53(f53(f10(a69),x73401),f53(f53(f10(a69),x73401),x73401)))),
% 54.42/54.20 inference(rename_variables,[],[527])).
% 54.42/54.20 cnf(7343,plain,
% 54.42/54.20 (~P9(a70,f53(f53(f10(a70),f11(a70,f2(a70),f3(a70))),f53(f53(f10(a70),f53(f53(f10(a70),f3(a70)),f3(a70))),f53(f53(f10(a70),f3(a70)),f3(a70)))),f53(f53(f10(a70),f11(a70,f2(a70),f3(a70))),f2(a70)))),
% 54.42/54.20 inference(scs_inference,[],[503,1813,252,446,310,302,526,467,382,398,569,563,419,480,406,497,7325,527,7225,7230,7265,496,463,7227,7232,515,380,460,449,7291,600,296,390,479,246,341,306,516,247,404,329,384,307,587,586,265,376,473,403,275,388,292,504,266,387,291,474,584,4322,7111,7149,6687,6556,7249,5518,6907,6780,7164,4279,6709,7117,6617,6579,7004,6516,7302,4505,7056,7266,6735,6673,7209,6715,6040,6984,5528,6574,6482,6825,5750,5197,6724,4557,7139,5786,4789,4548,3386,2591,2047,5709,2258,2651,7212,2370,4031,2306,2358,1031,1771,1384,764,1208,1333,1482,17,1390,1373,787,1319,1705,1576,1575,1481,1115,1417,887,1753,1704,1358,1142,1397,1570,1537,1556,1035,1443,1562,946,1701,1294,1234,1685,1581,1067,1109,1447,918,913,1684,950,1449,1568,1211,1793,1292,1791,1420,969,1790,1782,1495,162,1438])).
% 54.42/54.20 cnf(7369,plain,
% 54.42/54.20 (P10(a68,x73691,f11(a68,f26(a69,f24(x73691)),f3(a68)))),
% 54.42/54.20 inference(rename_variables,[],[515])).
% 54.42/54.20 cnf(7374,plain,
% 54.42/54.20 (P9(a68,f2(a68),f26(a69,x73741))),
% 54.42/54.20 inference(rename_variables,[],[479])).
% 54.42/54.20 cnf(7379,plain,
% 54.42/54.20 (~P9(a69,f24(f26(a69,f11(a69,x73791,f3(a69)))),x73791)),
% 54.42/54.20 inference(rename_variables,[],[7117])).
% 54.42/54.20 cnf(7382,plain,
% 54.42/54.20 (~E(x73821,f11(a69,f9(a70,f11(a68,f9(a70,f8(a69,f11(a68,f53(f53(f10(a68),f8(a68,x73822,x73822)),x73823),x73821),f11(a68,f53(f53(f10(a68),f8(a68,x73822,x73822)),x73823),x73821))),f3(a68))),f11(a68,f53(f53(f10(a68),f8(a68,x73822,x73822)),x73823),x73821)))),
% 54.42/54.20 inference(rename_variables,[],[7092])).
% 54.42/54.20 cnf(7385,plain,
% 54.42/54.20 (E(f53(f53(f10(a68),f3(a68)),x73851),x73851)),
% 54.42/54.20 inference(rename_variables,[],[450])).
% 54.42/54.20 cnf(7395,plain,
% 54.42/54.20 (~P10(a69,f53(f53(f10(a69),x73951),x73951),x73951)),
% 54.42/54.20 inference(rename_variables,[],[6484])).
% 54.42/54.20 cnf(7398,plain,
% 54.42/54.20 (P10(a69,x73981,f13(f11(a68,f26(a69,f11(a69,f53(f53(f10(a69),f8(a69,x73982,x73982)),x73983),f11(a69,f53(f53(f10(a69),f8(a69,x73982,x73982)),x73983),x73981))),f3(a68))))),
% 54.42/54.20 inference(rename_variables,[],[7015])).
% 54.42/54.20 cnf(7406,plain,
% 54.42/54.20 (P9(a69,f2(a69),x74061)),
% 54.42/54.20 inference(rename_variables,[],[463])).
% 54.42/54.20 cnf(7411,plain,
% 54.42/54.20 (P9(a69,f8(a69,x74111,x74112),x74111)),
% 54.42/54.20 inference(rename_variables,[],[497])).
% 54.42/54.20 cnf(7437,plain,
% 54.42/54.20 (P10(a70,x74371,f11(a70,x74372,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,f7(a70,f8(a70,x74371,x74372)),f9(a70,f2(a70)))),f3(a70))),f3(a70))))),
% 54.42/54.20 inference(rename_variables,[],[6777])).
% 54.42/54.20 cnf(7440,plain,
% 54.42/54.20 (~P10(a69,x74401,x74401)),
% 54.42/54.20 inference(rename_variables,[],[589])).
% 54.42/54.20 cnf(7443,plain,
% 54.42/54.20 (P10(a68,x74431,f11(a68,f11(a68,f26(a69,f24(f2(a68))),f3(a68)),f11(a68,f26(a69,f24(x74431)),f3(a68))))),
% 54.42/54.20 inference(rename_variables,[],[6989])).
% 54.42/54.20 cnf(7448,plain,
% 54.42/54.20 (P9(a68,x74481,f26(a69,f13(x74481)))),
% 54.42/54.20 inference(rename_variables,[],[480])).
% 54.42/54.20 cnf(7450,plain,
% 54.42/54.20 (P10(a69,x74501,f13(f11(a68,f26(a69,f11(a69,f53(f53(f10(a69),f8(a69,x74502,x74502)),x74503),f11(a69,f53(f53(f10(a69),f8(a69,x74502,x74502)),x74503),f11(a69,x74501,x74504)))),f3(a68))))),
% 54.42/54.20 inference(scs_inference,[],[503,492,536,567,1813,252,446,310,302,526,467,450,382,398,569,563,447,236,240,244,419,480,7262,406,497,7325,527,7225,7230,7265,7340,496,589,232,251,463,7227,7232,7283,7406,515,7288,315,380,460,449,7291,600,248,296,390,479,7322,246,341,585,306,516,247,404,329,384,307,587,586,273,396,265,376,473,403,328,223,275,388,292,504,266,387,291,474,584,6883,4322,7111,7149,6687,6597,6556,7249,5518,7092,7382,5203,6339,6907,6780,7215,7164,5862,7086,4279,6709,6484,6636,7015,7398,7117,7194,6617,6579,7004,6516,7302,6777,4505,7269,7056,7266,6989,6639,6735,6673,7209,5362,6715,7317,6900,6040,6984,5528,6574,6482,6825,5750,5197,5522,6724,4557,7139,5661,5677,5816,5786,5420,4789,4548,3386,3398,2591,2707,2047,2645,5709,5006,2258,2651,7212,2298,2370,4031,2306,2358,1031,1771,1384,764,1208,1333,1482,17,1390,1373,787,1319,1705,1576,1575,1481,1115,1417,887,1753,1704,1358,1142,1397,1570,1537,1556,1035,1443,1562,946,1701,1294,1234,1685,1581,1067,1109,1447,918,913,1684,950,1449,1568,1211,1793,1292,1791,1420,969,1790,1782,1495,162,1438,1478,1272,1060,1271,1163,1563,1595,1304,1763,1559,991,1308,1194,1610,1215,786,1784,901,1257,1255,1065,1518,861,1468,1632,1073,911,1439,1421,1096,1012,768,1344,912,1008,1785,1427,1323,723,1303,1351])).
% 54.42/54.20 cnf(7451,plain,
% 54.42/54.20 (P10(a69,x74511,f13(f11(a68,f26(a69,f11(a69,f53(f53(f10(a69),f8(a69,x74512,x74512)),x74513),f11(a69,f53(f53(f10(a69),f8(a69,x74512,x74512)),x74513),x74511))),f3(a68))))),
% 54.42/54.20 inference(rename_variables,[],[7015])).
% 54.42/54.20 cnf(7454,plain,
% 54.42/54.20 (P9(a68,x74541,f26(a69,f13(f7(a68,x74541))))),
% 54.42/54.20 inference(rename_variables,[],[6827])).
% 54.42/54.20 cnf(7457,plain,
% 54.42/54.20 (~P10(a69,f11(a69,x74571,x74572),x74571)),
% 54.42/54.20 inference(rename_variables,[],[600])).
% 54.42/54.20 cnf(7462,plain,
% 54.42/54.20 (~E(f8(a70,f11(a70,f11(a70,x74621,f3(a70)),f11(a70,x74622,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,x74622,f2(a70))),f3(a70))),f3(a70)))),f3(a70)),x74621)),
% 54.42/54.20 inference(rename_variables,[],[6780])).
% 54.42/54.20 cnf(7467,plain,
% 54.42/54.20 (~P10(a68,f11(a68,f7(a68,x74671),f3(a68)),x74671)),
% 54.42/54.20 inference(rename_variables,[],[602])).
% 54.42/54.20 cnf(7486,plain,
% 54.42/54.20 (P10(a70,f8(a70,x74861,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,f7(a70,f8(a70,x74862,x74861)),f9(a70,f2(a70)))),f3(a70))),f3(a70))),x74862)),
% 54.42/54.20 inference(rename_variables,[],[6516])).
% 54.42/54.20 cnf(7489,plain,
% 54.42/54.20 (P9(a70,x74891,x74891)),
% 54.42/54.20 inference(rename_variables,[],[449])).
% 54.42/54.20 cnf(7490,plain,
% 54.42/54.20 (P10(a70,f8(a70,x74901,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,f7(a70,f8(a70,x74902,x74901)),f9(a70,f2(a70)))),f3(a70))),f3(a70))),x74902)),
% 54.42/54.20 inference(rename_variables,[],[6516])).
% 54.42/54.20 cnf(7493,plain,
% 54.42/54.20 (P10(a68,f8(a68,x74931,f11(a68,f26(a69,f24(f7(a68,f8(a68,x74932,x74931)))),f3(a68))),x74932)),
% 54.42/54.20 inference(rename_variables,[],[2087])).
% 54.42/54.20 cnf(7497,plain,
% 54.42/54.20 (~P10(a70,x74971,f11(a70,f53(f53(f10(a70),f8(a70,x74972,x74972)),f9(a70,f3(a70))),f11(a70,f53(f53(f10(a70),f8(a70,x74973,x74973)),x74974),x74971)))),
% 54.42/54.20 inference(scs_inference,[],[503,492,536,567,1813,252,446,310,302,526,467,450,385,382,398,569,563,447,236,240,244,419,480,7262,471,406,497,7325,527,7225,7230,7265,7340,496,589,232,251,463,7227,7232,7283,7406,515,7288,315,380,460,449,7291,7294,600,7457,248,457,296,390,479,7322,246,391,341,585,306,602,379,516,247,404,329,384,307,587,586,273,396,265,305,376,473,403,392,328,223,275,388,292,504,266,387,291,474,584,6883,4322,7111,7149,6687,6597,6556,7249,5518,7092,7382,5203,6339,6907,6780,7215,7462,7164,5862,4762,7086,4279,6709,6484,6636,7015,7398,7117,7194,6617,6579,7004,6516,7302,7486,6777,6871,4505,7269,7056,7266,6989,6639,6735,6673,7209,5362,6827,6715,7317,6900,6040,6984,5528,6574,5573,6482,6825,5750,5197,2386,2388,2390,2392,5522,6724,4557,7139,5661,5677,5816,5786,5420,4789,4548,3386,5588,3398,2591,2707,2047,2645,5709,5006,2258,2087,2651,7212,2298,2370,4031,1914,2306,2358,1031,1771,1384,764,1208,1333,1482,17,1390,1373,787,1319,1705,1576,1575,1481,1115,1417,887,1753,1704,1358,1142,1397,1570,1537,1556,1035,1443,1562,946,1701,1294,1234,1685,1581,1067,1109,1447,918,913,1684,950,1449,1568,1211,1793,1292,1791,1420,969,1790,1782,1495,162,1438,1478,1272,1060,1271,1163,1563,1595,1304,1763,1559,991,1308,1194,1610,1215,786,1784,901,1257,1255,1065,1518,861,1468,1632,1073,911,1439,1421,1096,1012,768,1344,912,1008,1785,1427,1323,723,1303,1351,1185,1011,1085,1273,1646,975,1451,20,914,1407,1305,1557,1680,1471,1469,1239,1608,1440])).
% 54.42/54.20 cnf(7502,plain,
% 54.42/54.20 (P9(a69,x75021,f11(a69,x75021,x75022))),
% 54.42/54.20 inference(rename_variables,[],[496])).
% 54.42/54.20 cnf(7503,plain,
% 54.42/54.20 (P9(a68,x75031,f26(a69,f13(x75031)))),
% 54.42/54.20 inference(rename_variables,[],[480])).
% 54.42/54.20 cnf(7505,plain,
% 54.42/54.20 (P9(a68,x75051,f26(a69,f13(f7(a68,f7(a68,x75051)))))),
% 54.42/54.20 inference(scs_inference,[],[503,492,536,567,1813,252,446,310,302,526,467,450,385,382,398,569,563,447,236,240,244,419,480,7262,7448,471,406,497,7325,527,7225,7230,7265,7340,496,7252,589,232,251,463,7227,7232,7283,7406,515,7288,315,380,460,449,7291,7294,600,7457,248,457,296,390,479,7322,246,391,341,585,306,602,379,516,247,404,329,384,307,587,586,273,396,265,305,376,473,403,392,328,223,275,388,292,504,266,387,291,474,584,6883,4322,7111,7149,6687,6597,6556,7249,5518,6551,7092,7382,5203,6339,6907,6780,7215,7462,7164,5862,4762,7086,4279,6709,6484,6636,7015,7398,7117,7194,6617,6579,7004,6516,7302,7486,6777,6871,4505,7269,7056,7266,6989,6639,6735,6673,7209,5362,6827,7454,6715,7317,6900,6040,6984,5528,6574,5573,6482,6825,5750,5197,2386,2388,2390,2392,5522,6724,4557,7139,5661,5677,5816,5786,5420,4789,4548,3386,5588,3398,2591,2707,2047,2645,5709,5006,2258,2087,2651,7212,2298,2370,4031,1914,2306,2358,1031,1771,1384,764,1208,1333,1482,17,1390,1373,787,1319,1705,1576,1575,1481,1115,1417,887,1753,1704,1358,1142,1397,1570,1537,1556,1035,1443,1562,946,1701,1294,1234,1685,1581,1067,1109,1447,918,913,1684,950,1449,1568,1211,1793,1292,1791,1420,969,1790,1782,1495,162,1438,1478,1272,1060,1271,1163,1563,1595,1304,1763,1559,991,1308,1194,1610,1215,786,1784,901,1257,1255,1065,1518,861,1468,1632,1073,911,1439,1421,1096,1012,768,1344,912,1008,1785,1427,1323,723,1303,1351,1185,1011,1085,1273,1646,975,1451,20,914,1407,1305,1557,1680,1471,1469,1239,1608,1440,925,1291,1077])).
% 54.42/54.20 cnf(7506,plain,
% 54.42/54.20 (P9(a68,x75061,f26(a69,f13(f7(a68,x75061))))),
% 54.42/54.20 inference(rename_variables,[],[6827])).
% 54.42/54.20 cnf(7508,plain,
% 54.42/54.20 (~P9(a70,f11(a70,f53(f53(f10(a70),f8(a70,x75081,x75082)),x75083),f11(a70,f11(a70,f53(f53(f10(a70),f8(a70,x75082,x75081)),x75083),x75084),f3(a70))),x75084)),
% 54.42/54.20 inference(scs_inference,[],[503,492,536,567,1813,252,446,310,302,526,467,450,385,382,398,569,563,447,236,240,244,419,480,7262,7448,471,406,497,7325,527,7225,7230,7265,7340,496,7252,589,232,251,463,7227,7232,7283,7406,515,7288,315,380,460,449,7291,7294,600,7457,248,457,296,390,479,7322,246,391,341,585,306,602,379,516,247,404,329,384,307,587,586,273,396,265,305,376,473,403,392,328,223,275,388,292,504,266,387,291,474,584,6883,4322,7111,7149,6687,6597,6556,7249,5518,6551,7092,7382,5203,6339,6907,6780,7215,7462,7164,5862,4762,7086,4279,6709,6484,6636,7015,7398,7117,7194,6617,6579,7004,6516,7302,7486,6777,6871,4505,7269,7056,7266,6989,6639,6735,6673,7209,5362,6827,7454,6715,7317,6900,6040,6984,5528,6574,5573,6482,6825,5750,7329,5197,2386,2388,2390,2392,5522,6724,4557,7139,5661,5677,5816,5786,5420,4789,4548,3386,5588,3398,2591,2707,2047,2645,5709,5006,2258,2087,2651,7212,2298,2370,4031,1914,2306,2358,1031,1771,1384,764,1208,1333,1482,17,1390,1373,787,1319,1705,1576,1575,1481,1115,1417,887,1753,1704,1358,1142,1397,1570,1537,1556,1035,1443,1562,946,1701,1294,1234,1685,1581,1067,1109,1447,918,913,1684,950,1449,1568,1211,1793,1292,1791,1420,969,1790,1782,1495,162,1438,1478,1272,1060,1271,1163,1563,1595,1304,1763,1559,991,1308,1194,1610,1215,786,1784,901,1257,1255,1065,1518,861,1468,1632,1073,911,1439,1421,1096,1012,768,1344,912,1008,1785,1427,1323,723,1303,1351,1185,1011,1085,1273,1646,975,1451,20,914,1407,1305,1557,1680,1471,1469,1239,1608,1440,925,1291,1077,1795])).
% 54.42/54.20 cnf(7510,plain,
% 54.42/54.20 (P9(a69,f8(a69,x75101,x75101),x75102)),
% 54.42/54.20 inference(scs_inference,[],[503,492,536,567,1813,252,446,310,302,526,467,450,385,382,398,569,563,447,236,240,244,419,480,7262,7448,471,406,497,7325,527,7225,7230,7265,7340,496,7252,589,232,251,463,7227,7232,7283,7406,495,515,7288,315,380,460,449,7291,7294,600,7457,248,457,296,390,479,7322,246,391,341,585,306,602,379,516,247,404,329,384,307,587,586,273,396,265,305,376,473,403,392,328,223,275,388,292,504,266,387,291,474,584,6883,4322,7111,7149,6687,6597,6556,7249,5518,6551,7092,7382,5203,6339,6907,6780,7215,7462,7164,5862,4762,7086,4279,6709,6484,6636,7015,7398,7117,7194,6617,6579,7004,6516,7302,7486,6777,6871,4505,7269,7056,7266,6989,6639,6735,6673,7209,5362,6827,7454,6715,7317,6900,6040,6984,5528,6574,5573,6482,6825,5750,7329,5197,2386,2388,2390,2392,5522,6724,4557,7139,5661,5677,5816,5786,5420,4789,4548,3386,5588,3398,2591,2707,2047,2645,5709,5006,2258,2087,2651,7212,2298,2370,4031,1914,2306,2358,1031,1771,1384,764,1208,1333,1482,17,1390,1373,787,1319,1705,1576,1575,1481,1115,1417,887,1753,1704,1358,1142,1397,1570,1537,1556,1035,1443,1562,946,1701,1294,1234,1685,1581,1067,1109,1447,918,913,1684,950,1449,1568,1211,1793,1292,1791,1420,969,1790,1782,1495,162,1438,1478,1272,1060,1271,1163,1563,1595,1304,1763,1559,991,1308,1194,1610,1215,786,1784,901,1257,1255,1065,1518,861,1468,1632,1073,911,1439,1421,1096,1012,768,1344,912,1008,1785,1427,1323,723,1303,1351,1185,1011,1085,1273,1646,975,1451,20,914,1407,1305,1557,1680,1471,1469,1239,1608,1440,925,1291,1077,1795,1497])).
% 54.42/54.20 cnf(7513,plain,
% 54.42/54.20 (~P10(a68,x75131,x75131)),
% 54.42/54.20 inference(rename_variables,[],[1811])).
% 54.42/54.20 cnf(7516,plain,
% 54.42/54.20 (P9(a68,x75161,f26(a69,f13(x75161)))),
% 54.42/54.20 inference(rename_variables,[],[480])).
% 54.42/54.20 cnf(7525,plain,
% 54.42/54.20 (P9(a69,f8(a69,x75251,x75252),x75251)),
% 54.42/54.20 inference(rename_variables,[],[497])).
% 54.42/54.20 cnf(7530,plain,
% 54.42/54.20 (P9(a69,f8(a69,x75301,x75302),x75301)),
% 54.42/54.20 inference(rename_variables,[],[497])).
% 54.42/54.20 cnf(7565,plain,
% 54.42/54.20 (P9(a70,x75651,x75651)),
% 54.42/54.20 inference(rename_variables,[],[449])).
% 54.42/54.20 cnf(7566,plain,
% 54.42/54.20 (P9(a70,x75661,x75661)),
% 54.42/54.20 inference(rename_variables,[],[449])).
% 54.42/54.20 cnf(7568,plain,
% 54.42/54.20 (P9(a68,f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69))),f2(a68))),
% 54.42/54.20 inference(scs_inference,[],[503,492,536,567,1813,252,520,446,310,302,526,467,450,385,382,398,569,563,447,236,240,244,419,480,7262,7448,7503,7516,471,406,497,7325,7411,7525,7530,527,7225,7230,7265,7340,496,7252,589,1811,7513,232,251,463,7227,7232,7283,7406,495,515,7288,315,380,460,449,7291,7294,7489,269,600,7457,248,457,296,390,479,7322,246,391,341,585,306,602,379,516,349,247,404,329,384,307,587,586,273,396,265,305,376,473,403,392,389,272,328,223,275,348,388,292,504,266,387,291,474,584,274,6883,5229,3964,4322,7111,7149,6966,6744,6687,6597,6556,7249,5518,6839,6551,7092,7382,5203,6339,6907,6780,7215,7462,7164,5862,4762,7086,6881,4279,6709,6484,6636,7015,7398,7117,7194,6617,6579,6929,7004,6516,7302,7486,7490,6777,6871,4505,7269,7056,7266,5614,6989,6639,6735,6673,7209,5362,4910,6827,7454,6715,7317,6900,6040,6984,5528,6574,5573,6482,6825,5750,7329,5197,2386,2388,2390,2392,5522,6724,4557,7139,5661,5677,5816,5786,5420,4789,4548,3386,5588,3398,2591,2707,2047,2645,5709,5006,2258,2087,2651,7212,2298,2370,4031,1914,2306,2358,1031,1771,1384,764,1208,1333,1482,17,1390,1373,787,1319,1705,1576,1575,1481,1115,1417,887,1753,1704,1358,1142,1397,1570,1537,1556,1035,1443,1562,946,1701,1294,1234,1685,1581,1067,1109,1447,918,913,1684,950,1449,1568,1211,1793,1292,1791,1420,969,1790,1782,1495,162,1438,1478,1272,1060,1271,1163,1563,1595,1304,1763,1559,991,1308,1194,1610,1215,786,1784,901,1257,1255,1065,1518,861,1468,1632,1073,911,1439,1421,1096,1012,768,1344,912,1008,1785,1427,1323,723,1303,1351,1185,1011,1085,1273,1646,975,1451,20,914,1407,1305,1557,1680,1471,1469,1239,1608,1440,925,1291,1077,1795,1497,1707,1160,1787,1467,835,1210,1200,1214,1786,1760,1233,1349,1209,899,1437,1383,1796,1794,1130,1436,721,1762,1702,924])).
% 54.42/54.20 cnf(7570,plain,
% 54.42/54.20 (P9(a70,f8(a70,x75701,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,f7(a70,f8(a70,f11(a70,x75702,f3(a70)),x75701)),f2(a70))),f3(a70))),f3(a70))),x75702)),
% 54.42/54.20 inference(scs_inference,[],[503,492,536,567,1813,252,520,446,310,302,526,467,450,385,382,398,569,563,447,236,240,244,419,480,7262,7448,7503,7516,471,406,497,7325,7411,7525,7530,527,7225,7230,7265,7340,496,7252,589,1811,7513,232,251,463,7227,7232,7283,7406,495,515,7288,315,380,460,449,7291,7294,7489,269,600,7457,248,457,296,390,479,7322,246,391,341,585,306,602,379,516,349,247,404,329,384,307,587,586,273,396,265,305,376,473,403,392,389,272,328,223,275,348,388,292,504,266,387,291,474,584,274,6883,5229,3964,4322,7111,7149,6966,6744,6687,6597,6556,7249,5518,6839,6551,7092,7382,5203,6339,6907,6780,7215,7462,7164,5862,4762,7086,6881,4279,6709,6484,6636,7015,7398,7117,7194,6617,6579,6929,7004,6516,7302,7486,7490,6777,5245,6871,4505,7269,7056,7266,5614,6989,6639,6735,6673,7209,5362,4910,6827,7454,6715,7317,6900,6040,6984,5528,6574,5573,6482,6825,5750,7329,5197,2386,2388,2390,2392,5522,6724,4557,7139,5661,5677,5816,5786,5420,4789,4548,3386,5588,3398,2591,2707,2047,2645,5709,5006,2258,2087,2651,7212,2298,2370,4031,1914,2306,2358,1031,1771,1384,764,1208,1333,1482,17,1390,1373,787,1319,1705,1576,1575,1481,1115,1417,887,1753,1704,1358,1142,1397,1570,1537,1556,1035,1443,1562,946,1701,1294,1234,1685,1581,1067,1109,1447,918,913,1684,950,1449,1568,1211,1793,1292,1791,1420,969,1790,1782,1495,162,1438,1478,1272,1060,1271,1163,1563,1595,1304,1763,1559,991,1308,1194,1610,1215,786,1784,901,1257,1255,1065,1518,861,1468,1632,1073,911,1439,1421,1096,1012,768,1344,912,1008,1785,1427,1323,723,1303,1351,1185,1011,1085,1273,1646,975,1451,20,914,1407,1305,1557,1680,1471,1469,1239,1608,1440,925,1291,1077,1795,1497,1707,1160,1787,1467,835,1210,1200,1214,1786,1760,1233,1349,1209,899,1437,1383,1796,1794,1130,1436,721,1762,1702,924,1361])).
% 54.42/54.20 cnf(7581,plain,
% 54.42/54.20 (P10(a70,f8(a70,x75811,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,f7(a70,f8(a70,x75812,x75811)),f9(a70,f2(a70)))),f3(a70))),f3(a70))),x75812)),
% 54.42/54.20 inference(rename_variables,[],[6516])).
% 54.42/54.20 cnf(7605,plain,
% 54.42/54.20 (~P10(a69,x76051,x76051)),
% 54.42/54.20 inference(rename_variables,[],[589])).
% 54.42/54.20 cnf(7609,plain,
% 54.42/54.20 (P10(a70,f8(a70,x76091,f53(f53(f10(a70),f11(a70,f7(a70,f8(a70,f7(a70,f8(a70,x76092,x76091)),f9(a70,f2(a70)))),f3(a70))),f3(a70))),x76092)),
% 54.42/54.20 inference(rename_variables,[],[6516])).
% 54.42/54.20 cnf(7611,plain,
% 54.42/54.20 (P10(a70,f53(f53(f10(a70),f2(a70)),f53(f53(f10(a70),f53(f53(f10(a70),f3(a70)),f3(a70))),f53(f53(f10(a70),f3(a70)),f3(a70)))),f53(f53(f10(a70),f53(f53(f10(a70),f53(f53(f10(a70),f3(a70)),f3(a70))),f53(f53(f10(a70),f3(a70)),f3(a70)))),f53(f53(f10(a70),f53(f53(f10(a70),f3(a70)),f3(a70))),f53(f53(f10(a70),f3(a70)),f3(a70)))))),
% 54.42/54.20 inference(scs_inference,[],[503,492,536,567,551,1813,252,597,520,446,310,302,526,467,450,385,382,398,569,563,447,236,240,244,419,480,7262,7448,7503,7516,471,406,497,7325,7411,7525,7530,527,7225,7230,7265,7340,496,7252,589,7440,1811,7513,232,251,463,7227,7232,7283,7406,495,515,7288,315,380,460,449,7291,7294,7489,7566,7565,269,600,7457,248,493,457,296,390,405,479,7322,246,391,341,585,306,602,379,516,349,247,404,329,384,307,587,586,273,396,265,305,376,473,403,392,389,272,328,223,275,348,388,292,504,266,387,291,474,584,274,6883,5229,3964,4322,7111,7149,6966,6744,6687,6597,6556,7249,5518,6839,6551,7092,7382,5203,6339,6907,6780,7215,7462,7164,5862,4762,7086,6691,6881,4279,4627,6709,6484,6636,7015,7398,7117,7194,6617,6579,6799,6929,7004,6932,6516,7302,7486,7490,7581,6777,5245,6871,4505,7269,7056,7266,5614,6989,6639,6735,6673,7209,5362,4910,6827,7454,6715,7317,6900,6040,6984,5528,7070,6574,5853,5573,6482,6825,5750,7329,5197,2386,2388,2390,2392,5522,6724,4557,7139,5661,5677,5816,5786,5420,5808,4789,4548,3386,5588,3398,3687,2591,2707,2047,2645,5709,5006,2258,2087,2651,7212,2298,2370,4031,1914,2306,2358,1031,1771,1384,764,1208,1333,1482,17,1390,1373,787,1319,1705,1576,1575,1481,1115,1417,887,1753,1704,1358,1142,1397,1570,1537,1556,1035,1443,1562,946,1701,1294,1234,1685,1581,1067,1109,1447,918,913,1684,950,1449,1568,1211,1793,1292,1791,1420,969,1790,1782,1495,162,1438,1478,1272,1060,1271,1163,1563,1595,1304,1763,1559,991,1308,1194,1610,1215,786,1784,901,1257,1255,1065,1518,861,1468,1632,1073,911,1439,1421,1096,1012,768,1344,912,1008,1785,1427,1323,723,1303,1351,1185,1011,1085,1273,1646,975,1451,20,914,1407,1305,1557,1680,1471,1469,1239,1608,1440,925,1291,1077,1795,1497,1707,1160,1787,1467,835,1210,1200,1214,1786,1760,1233,1349,1209,899,1437,1383,1796,1794,1130,1436,721,1762,1702,924,1361,1253,1324,716,1461,1363,1198,1139,997,850,1003,958,1028,898,1364,1463,1462,1700])).
% 54.42/54.20 cnf(7612,plain,
% 54.42/54.20 (P9(a70,x76121,x76121)),
% 54.42/54.20 inference(rename_variables,[],[449])).
% 54.42/54.20 cnf(7615,plain,
% 54.42/54.20 (~P9(a69,f13(f11(a68,f26(a69,f11(a69,f53(f53(f10(a69),f8(a69,x76151,x76151)),x76152),f11(a69,f53(f53(f10(a69),f8(a69,x76151,x76151)),x76152),x76153))),f3(a68))),x76153)),
% 54.42/54.20 inference(scs_inference,[],[503,492,536,567,551,1813,252,597,520,446,310,302,526,467,450,385,382,398,569,563,447,236,240,244,419,480,7262,7448,7503,7516,471,406,497,7325,7411,7525,7530,527,7225,7230,7265,7340,496,7252,589,7440,1811,7513,232,251,463,7227,7232,7283,7406,495,515,7288,315,380,460,449,7291,7294,7489,7566,7565,269,600,7457,248,493,457,296,390,405,479,7322,246,391,341,585,306,602,379,516,349,247,404,329,384,307,587,586,273,396,265,305,376,473,403,392,389,272,328,223,275,348,388,292,504,266,387,291,474,584,274,6883,5229,3964,4322,7111,7149,6966,6744,6687,6597,6556,7249,5518,6839,6551,7092,7382,5203,6339,6907,6780,7215,7462,7164,5862,4762,7086,6691,6881,4279,4627,6709,6484,6636,7015,7398,7451,7117,7194,6617,6579,6799,6929,7004,6932,6516,7302,7486,7490,7581,6777,5245,6871,4505,7269,7056,7266,5614,6989,6639,6735,6673,7209,5362,4910,6827,7454,6715,7317,6900,6040,6984,5528,7070,6574,5853,5573,6482,6825,5750,7329,5197,2386,2388,2390,2392,5522,6724,4557,7139,5661,5677,5816,5786,5420,5594,5808,4789,4548,3386,5588,3398,3687,2591,2707,2047,2645,5709,5006,2258,2087,2651,7212,2298,2370,4031,1914,2306,2358,1031,1771,1384,764,1208,1333,1482,17,1390,1373,787,1319,1705,1576,1575,1481,1115,1417,887,1753,1704,1358,1142,1397,1570,1537,1556,1035,1443,1562,946,1701,1294,1234,1685,1581,1067,1109,1447,918,913,1684,950,1449,1568,1211,1793,1292,1791,1420,969,1790,1782,1495,162,1438,1478,1272,1060,1271,1163,1563,1595,1304,1763,1559,991,1308,1194,1610,1215,786,1784,901,1257,1255,1065,1518,861,1468,1632,1073,911,1439,1421,1096,1012,768,1344,912,1008,1785,1427,1323,723,1303,1351,1185,1011,1085,1273,1646,975,1451,20,914,1407,1305,1557,1680,1471,1469,1239,1608,1440,925,1291,1077,1795,1497,1707,1160,1787,1467,835,1210,1200,1214,1786,1760,1233,1349,1209,899,1437,1383,1796,1794,1130,1436,721,1762,1702,924,1361,1253,1324,716,1461,1363,1198,1139,997,850,1003,958,1028,898,1364,1463,1462,1700,1540])).
% 54.42/54.20 cnf(7621,plain,
% 54.42/54.20 (P10(a68,x76211,f11(a68,f26(a69,f24(x76211)),f3(a68)))),
% 54.42/54.20 inference(rename_variables,[],[515])).
% 54.42/54.20 cnf(7624,plain,
% 54.42/54.20 (P10(a68,x76241,f11(a68,f26(a69,f24(x76241)),f3(a68)))),
% 54.42/54.20 inference(rename_variables,[],[515])).
% 54.42/54.20 cnf(7627,plain,
% 54.42/54.20 (~P10(a69,x76271,f2(a69))),
% 54.42/54.20 inference(rename_variables,[],[592])).
% 54.42/54.20 cnf(7636,plain,
% 54.42/54.20 (P10(a68,f8(a68,x76361,f11(a68,f26(a69,f24(f7(a68,f8(a68,x76362,x76361)))),f3(a68))),x76362)),
% 54.42/54.20 inference(rename_variables,[],[2087])).
% 54.42/54.20 cnf(7644,plain,
% 54.42/54.20 (~P10(a69,x76441,f53(f53(f10(a69),x76442),f2(a69)))),
% 54.42/54.20 inference(scs_inference,[],[503,492,536,567,551,1813,252,597,520,559,446,310,302,526,467,450,385,530,382,398,569,563,447,236,240,244,419,480,7262,7448,7503,7516,471,406,497,7325,7411,7525,7530,527,7225,7230,7265,7340,496,7252,589,7440,1811,7513,232,251,463,7227,7232,7283,7406,495,515,7288,7369,7621,315,380,460,449,7291,7294,7489,7566,7565,269,600,7457,248,592,493,457,296,390,405,479,7322,246,391,341,585,306,602,379,516,349,247,404,329,384,307,587,586,273,396,265,305,376,473,403,392,389,272,328,223,275,348,388,292,504,266,387,291,474,584,274,6883,5229,3964,4322,7111,7149,6966,6744,6687,6597,6556,7249,5518,6839,6551,7092,7382,5203,6339,6907,6780,7215,7462,7164,5862,4762,7086,6711,6691,6881,4279,4627,6709,6484,6636,7015,7398,7451,7117,7194,6617,6579,6799,6929,7004,6932,6516,7302,7486,7490,7581,6777,5245,6871,4505,7269,7056,7266,5614,6989,6639,6735,6673,7209,5362,4910,6827,7454,6715,7317,6900,6040,6984,5528,7070,6574,5853,5573,6482,6825,5750,7329,5197,2386,2388,2390,2392,6962,5522,6724,4557,7139,5661,5677,5816,5786,5420,5594,5808,4789,4548,3386,5588,3398,3687,2591,2707,2047,2645,5709,5006,2258,2087,7493,2651,7212,2298,2370,4031,1914,2306,2358,1031,1771,1384,764,1208,1333,1482,17,1390,1373,787,1319,1705,1576,1575,1481,1115,1417,887,1753,1704,1358,1142,1397,1570,1537,1556,1035,1443,1562,946,1701,1294,1234,1685,1581,1067,1109,1447,918,913,1684,950,1449,1568,1211,1793,1292,1791,1420,969,1790,1782,1495,162,1438,1478,1272,1060,1271,1163,1563,1595,1304,1763,1559,991,1308,1194,1610,1215,786,1784,901,1257,1255,1065,1518,861,1468,1632,1073,911,1439,1421,1096,1012,768,1344,912,1008,1785,1427,1323,723,1303,1351,1185,1011,1085,1273,1646,975,1451,20,914,1407,1305,1557,1680,1471,1469,1239,1608,1440,925,1291,1077,1795,1497,1707,1160,1787,1467,835,1210,1200,1214,1786,1760,1233,1349,1209,899,1437,1383,1796,1794,1130,1436,721,1762,1702,924,1361,1253,1324,716,1461,1363,1198,1139,997,850,1003,958,1028,898,1364,1463,1462,1700,1540,1202,1238,1236,1043,1388,693,862,1237,1569,1561,743,863])).
% 54.42/54.20 cnf(7649,plain,
% 54.42/54.20 (~P9(a69,f24(f26(a69,f11(a69,x76491,f3(a69)))),x76491)),
% 54.42/54.20 inference(rename_variables,[],[7117])).
% 54.42/54.20 cnf(7653,plain,
% 54.42/54.20 (P9(a69,x76531,f53(f53(f10(a69),x76531),f53(f53(f10(a69),x76531),x76531)))),
% 54.42/54.20 inference(rename_variables,[],[527])).
% 54.42/54.20 cnf(7661,plain,
% 54.42/54.20 (P10(a68,x76611,f11(a68,f11(a68,f26(a69,f24(f2(a68))),f3(a68)),f11(a68,f26(a69,f24(x76611)),f3(a68))))),
% 54.42/54.20 inference(rename_variables,[],[6989])).
% 54.42/54.20 cnf(7662,plain,
% 54.42/54.20 (~P10(a68,f7(a68,x76621),f2(a68))),
% 54.42/54.20 inference(rename_variables,[],[2665])).
% 54.42/54.20 cnf(7677,plain,
% 54.42/54.20 (~E(f9(a70,f2(a70)),f9(a70,f53(f53(f10(a70),f53(f53(f10(a70),f3(a70)),f3(a70))),f53(f53(f10(a70),f3(a70)),f3(a70)))))),
% 54.42/54.20 inference(scs_inference,[],[503,492,536,567,551,1813,252,356,597,520,559,446,310,302,526,467,450,385,530,382,398,569,563,447,236,240,244,419,480,7262,7448,7503,7516,471,406,394,497,7325,7411,7525,7530,527,7225,7230,7265,7340,496,7252,589,7440,1811,7513,232,251,463,7227,7232,7283,7406,495,515,7288,7369,7621,315,380,460,449,7291,7294,7489,7566,7565,269,600,7457,248,592,493,457,393,296,390,405,479,7322,246,391,341,585,306,602,379,516,349,247,404,329,384,307,587,586,273,396,265,305,376,473,403,392,389,272,328,223,275,348,388,292,504,266,387,291,474,584,274,6883,5222,5229,3964,4322,7111,7149,6966,6744,6687,6597,6556,7249,5518,6839,6551,7092,7382,5203,6339,6907,6780,7215,7462,7164,5862,4762,7086,6711,6591,6691,6881,4279,5566,4627,6709,6484,6636,7015,7398,7451,7117,7194,7379,7649,6617,6579,6799,6929,7004,6932,6516,7302,7486,7490,7581,7609,6777,5245,6871,4505,7269,7056,7266,5614,6989,7443,6639,6735,6673,7209,5362,4910,6827,7454,6715,7317,6900,6040,6984,5528,7070,6574,5853,5573,6482,6825,5750,7329,5197,2386,2388,2390,2392,6962,6599,5522,6724,4557,7139,5661,5677,5816,5786,5420,5594,5808,4789,4548,3386,5588,3398,3687,2591,2707,2047,2645,5709,5006,2258,2087,7493,2665,2651,7212,2298,2370,4031,1914,2306,2358,1031,1771,1384,764,1208,1333,1482,17,1390,1373,787,1319,1705,1576,1575,1481,1115,1417,887,1753,1704,1358,1142,1397,1570,1537,1556,1035,1443,1562,946,1701,1294,1234,1685,1581,1067,1109,1447,918,913,1684,950,1449,1568,1211,1793,1292,1791,1420,969,1790,1782,1495,162,1438,1478,1272,1060,1271,1163,1563,1595,1304,1763,1559,991,1308,1194,1610,1215,786,1784,901,1257,1255,1065,1518,861,1468,1632,1073,911,1439,1421,1096,1012,768,1344,912,1008,1785,1427,1323,723,1303,1351,1185,1011,1085,1273,1646,975,1451,20,914,1407,1305,1557,1680,1471,1469,1239,1608,1440,925,1291,1077,1795,1497,1707,1160,1787,1467,835,1210,1200,1214,1786,1760,1233,1349,1209,899,1437,1383,1796,1794,1130,1436,721,1762,1702,924,1361,1253,1324,716,1461,1363,1198,1139,997,850,1003,958,1028,898,1364,1463,1462,1700,1540,1202,1238,1236,1043,1388,693,862,1237,1569,1561,743,863,1101,1780,1425,1676,1649,1730,749,1155,1360,1196,926,1026,766])).
% 54.42/54.20 cnf(7679,plain,
% 54.42/54.20 (~P9(a68,f9(a68,f9(a68,f3(a68))),f2(a68))),
% 54.42/54.20 inference(scs_inference,[],[503,492,536,567,551,1813,252,356,597,520,559,446,310,302,526,467,450,385,530,382,398,569,563,447,236,240,244,419,480,7262,7448,7503,7516,471,406,394,497,7325,7411,7525,7530,527,7225,7230,7265,7340,496,7252,589,7440,1811,7513,232,251,463,7227,7232,7283,7406,495,515,7288,7369,7621,315,380,460,449,7291,7294,7489,7566,7565,269,600,7457,248,592,493,457,393,296,390,405,479,7322,246,391,341,585,306,602,379,516,349,247,404,329,384,307,587,586,273,396,265,305,376,473,403,392,389,272,328,223,275,348,388,292,504,266,387,291,474,584,274,6883,5222,5229,3964,4322,7111,7149,6966,6744,6687,6597,6556,7249,5518,6839,6551,7092,7382,5203,6339,6907,6780,7215,7462,7164,5862,4762,7086,6711,6591,6691,6881,4279,5566,4627,6709,6484,6636,7015,7398,7451,7117,7194,7379,7649,6617,6579,6799,6929,7004,6932,6516,7302,7486,7490,7581,7609,6777,5245,6871,4505,7269,7056,7266,5614,6989,7443,6639,6735,6673,7209,5362,4910,6827,7454,6715,7317,6900,6040,6984,5528,7070,6574,5853,5573,6482,6825,5750,7329,5197,2386,2388,2390,2392,6962,6599,5522,6724,4557,7139,5661,5677,5816,5786,5420,5594,5808,4789,4548,3386,5588,3398,3687,2591,2707,2047,2645,5709,5006,2258,2087,7493,2665,2651,7212,2298,2370,4031,1914,2306,2358,1031,1771,1384,764,1208,1333,1482,17,1390,1373,787,1319,1705,1576,1575,1481,1115,1417,887,1753,1704,1358,1142,1397,1570,1537,1556,1035,1443,1562,946,1701,1294,1234,1685,1581,1067,1109,1447,918,913,1684,950,1449,1568,1211,1793,1292,1791,1420,969,1790,1782,1495,162,1438,1478,1272,1060,1271,1163,1563,1595,1304,1763,1559,991,1308,1194,1610,1215,786,1784,901,1257,1255,1065,1518,861,1468,1632,1073,911,1439,1421,1096,1012,768,1344,912,1008,1785,1427,1323,723,1303,1351,1185,1011,1085,1273,1646,975,1451,20,914,1407,1305,1557,1680,1471,1469,1239,1608,1440,925,1291,1077,1795,1497,1707,1160,1787,1467,835,1210,1200,1214,1786,1760,1233,1349,1209,899,1437,1383,1796,1794,1130,1436,721,1762,1702,924,1361,1253,1324,716,1461,1363,1198,1139,997,850,1003,958,1028,898,1364,1463,1462,1700,1540,1202,1238,1236,1043,1388,693,862,1237,1569,1561,743,863,1101,1780,1425,1676,1649,1730,749,1155,1360,1196,926,1026,766,1183])).
% 54.42/54.20 cnf(7685,plain,
% 54.42/54.20 (~P9(a69,f53(f53(f10(a69),f11(a69,x76851,f4(a1,a73))),f11(a69,x76851,f4(a1,a73))),x76851)),
% 54.42/54.20 inference(scs_inference,[],[503,492,536,567,551,1813,252,356,597,520,559,446,310,302,526,467,450,385,530,382,398,569,563,447,236,240,244,419,480,7262,7448,7503,7516,471,406,394,497,7325,7411,7525,7530,527,7225,7230,7265,7340,496,7252,589,7440,1811,7513,232,251,463,7227,7232,7283,7406,495,515,7288,7369,7621,315,380,460,449,7291,7294,7489,7566,7565,269,600,7457,248,592,493,457,393,296,390,405,479,7322,246,391,341,585,306,602,379,516,349,247,404,329,384,307,587,586,273,396,265,305,376,473,403,392,389,272,328,223,275,348,388,292,504,266,387,291,474,584,274,6883,5222,5229,3964,4322,7111,7149,6966,6744,6687,6597,6556,7249,5518,6839,6551,7092,7382,5203,6339,6907,6780,7215,7462,7164,5862,4762,7086,6711,6591,6691,6881,4279,5566,6705,4627,6709,6484,6636,7015,7398,7451,7117,7194,7379,7649,6617,6579,6996,6799,6929,7004,6932,6516,7302,7486,7490,7581,7609,6777,5245,6871,4505,7269,7056,7266,5614,6989,7443,6639,6735,6673,7209,5362,4910,6827,7454,6715,7317,6900,6040,6984,5528,7070,6574,5853,5573,6482,6825,5750,7329,5197,2386,2388,2390,2392,6962,6599,5522,6724,4557,7139,5661,5677,5816,5786,5420,5594,5808,4789,4548,3386,5588,3398,3687,2591,2707,2047,2645,5709,5006,2258,2087,7493,2665,2651,7212,2298,2370,4031,1914,2306,2358,1031,1771,1384,764,1208,1333,1482,17,1390,1373,787,1319,1705,1576,1575,1481,1115,1417,887,1753,1704,1358,1142,1397,1570,1537,1556,1035,1443,1562,946,1701,1294,1234,1685,1581,1067,1109,1447,918,913,1684,950,1449,1568,1211,1793,1292,1791,1420,969,1790,1782,1495,162,1438,1478,1272,1060,1271,1163,1563,1595,1304,1763,1559,991,1308,1194,1610,1215,786,1784,901,1257,1255,1065,1518,861,1468,1632,1073,911,1439,1421,1096,1012,768,1344,912,1008,1785,1427,1323,723,1303,1351,1185,1011,1085,1273,1646,975,1451,20,914,1407,1305,1557,1680,1471,1469,1239,1608,1440,925,1291,1077,1795,1497,1707,1160,1787,1467,835,1210,1200,1214,1786,1760,1233,1349,1209,899,1437,1383,1796,1794,1130,1436,721,1762,1702,924,1361,1253,1324,716,1461,1363,1198,1139,997,850,1003,958,1028,898,1364,1463,1462,1700,1540,1202,1238,1236,1043,1388,693,862,1237,1569,1561,743,863,1101,1780,1425,1676,1649,1730,749,1155,1360,1196,926,1026,766,1183,873,1013,1558])).
% 54.42/54.20 cnf(7691,plain,
% 54.42/54.20 (P9(a69,x76911,f53(f53(f10(a69),x76911),f53(f53(f10(a69),x76911),x76911)))),
% 54.42/54.20 inference(rename_variables,[],[527])).
% 54.42/54.20 cnf(7692,plain,
% 54.42/54.20 (P9(a69,x76921,x76921)),
% 54.42/54.20 inference(rename_variables,[],[448])).
% 54.42/54.20 cnf(7693,plain,
% 54.42/54.20 (P9(a69,x76931,f11(a69,x76931,x76932))),
% 54.42/54.20 inference(rename_variables,[],[496])).
% 54.42/54.20 cnf(7697,plain,
% 54.42/54.20 (P10(a68,f8(a68,f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74))),f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f3(a68))),f2(a68))),
% 54.42/54.20 inference(scs_inference,[],[503,492,536,567,551,1813,252,356,597,520,559,446,310,302,526,467,450,385,530,382,398,569,563,447,236,240,244,419,480,7262,7448,7503,7516,471,297,406,394,497,7325,7411,7525,7530,527,7225,7230,7265,7340,7653,496,7252,7502,589,7440,1811,7513,232,251,463,7227,7232,7283,7406,495,515,7288,7369,7621,315,380,460,449,7291,7294,7489,7566,7565,269,448,600,7457,248,592,493,457,393,296,390,405,479,7322,246,391,341,585,306,602,379,516,349,247,404,329,384,307,587,586,273,396,265,305,376,473,403,392,389,272,328,223,275,348,388,292,504,266,387,291,474,584,274,6883,5222,5229,3964,4322,7111,7149,6966,6744,6687,4922,6597,6556,7249,5518,6839,6551,7092,7382,5203,6339,6907,6780,7215,7462,7164,5862,4762,7086,6711,6591,6691,6881,4279,5566,6705,4627,6709,6484,6636,7015,7398,7451,7117,7194,7379,7649,6617,6579,6996,6799,6929,7004,6932,6516,7302,7486,7490,7581,7609,6777,5245,6871,4505,7269,7056,7266,5614,6989,7443,6639,6735,6673,7209,5362,4910,6827,7454,6715,7317,6900,6040,6984,5528,7070,6574,5853,5573,6482,6825,5750,7329,5197,2386,2388,2390,2392,6962,6599,5522,6724,4557,7139,5661,5677,5816,5786,5420,5594,5808,4789,4548,3386,5588,3398,3687,2591,2707,2047,2645,5709,5006,2258,2087,7493,2665,2651,7212,2298,2370,4031,1914,2306,2358,1031,1771,1384,764,1208,1333,1482,17,1390,1373,787,1319,1705,1576,1575,1481,1115,1417,887,1753,1704,1358,1142,1397,1570,1537,1556,1035,1443,1562,946,1701,1294,1234,1685,1581,1067,1109,1447,918,913,1684,950,1449,1568,1211,1793,1292,1791,1420,969,1790,1782,1495,162,1438,1478,1272,1060,1271,1163,1563,1595,1304,1763,1559,991,1308,1194,1610,1215,786,1784,901,1257,1255,1065,1518,861,1468,1632,1073,911,1439,1421,1096,1012,768,1344,912,1008,1785,1427,1323,723,1303,1351,1185,1011,1085,1273,1646,975,1451,20,914,1407,1305,1557,1680,1471,1469,1239,1608,1440,925,1291,1077,1795,1497,1707,1160,1787,1467,835,1210,1200,1214,1786,1760,1233,1349,1209,899,1437,1383,1796,1794,1130,1436,721,1762,1702,924,1361,1253,1324,716,1461,1363,1198,1139,997,850,1003,958,1028,898,1364,1463,1462,1700,1540,1202,1238,1236,1043,1388,693,862,1237,1569,1561,743,863,1101,1780,1425,1676,1649,1730,749,1155,1360,1196,926,1026,766,1183,873,1013,1558,1325,1699,1104,1295])).
% 54.42/54.20 cnf(7702,plain,
% 54.42/54.20 (~P10(a68,x77021,x77021)),
% 54.42/54.20 inference(rename_variables,[],[1811])).
% 54.42/54.20 cnf(7710,plain,
% 54.42/54.20 (P9(a69,f8(a69,x77101,x77102),x77101)),
% 54.42/54.20 inference(rename_variables,[],[497])).
% 54.42/54.20 cnf(7719,plain,
% 54.42/54.20 (P10(a68,x77191,f26(a69,f53(f53(f10(a69),f11(a69,f24(x77191),f3(a69))),f53(f53(f10(a69),f11(a69,f24(x77191),f3(a69))),f11(a69,f24(x77191),f3(a69))))))),
% 54.42/54.20 inference(scs_inference,[],[503,492,536,567,551,1813,252,356,597,520,559,446,310,302,526,467,450,385,530,382,398,569,563,447,236,240,244,419,480,7262,7448,7503,7516,471,297,406,394,497,7325,7411,7525,7530,527,7225,7230,7265,7340,7653,7691,496,7252,7502,589,7440,1811,7513,232,251,463,7227,7232,7283,7406,495,515,7288,7369,7621,315,380,460,449,7291,7294,7489,7566,7565,269,448,600,7457,248,592,493,457,393,296,390,405,479,7322,246,391,341,585,306,602,379,516,349,247,404,329,384,307,587,586,458,273,396,265,305,376,473,403,392,389,272,328,223,275,348,388,292,504,266,387,291,474,584,274,6883,5222,5229,3964,4322,7111,7149,6966,6744,6687,4922,6597,6556,7249,5518,6839,6551,7092,7382,5203,6339,6907,6780,7215,7462,7164,5862,4762,6936,7086,6711,6591,6691,6881,4279,5566,6705,4627,6709,6484,6636,7015,7398,7451,7117,7194,7379,7649,6617,6579,7021,6996,6799,6929,7004,6932,6516,7302,7486,7490,7581,7609,6777,5245,6871,4505,7269,7056,7266,7326,5614,6989,7443,6639,6735,6673,7209,5362,4910,6827,7454,6715,7317,6900,6040,6984,5528,7070,6574,5853,5573,6482,6825,5750,7329,5197,2386,2388,2390,2392,6748,6962,6599,5522,6724,4557,7139,5661,5677,5816,5786,5420,5594,5808,4789,4548,3386,5588,3398,3687,2591,2707,2047,2645,5709,5006,2258,2087,7493,2665,2651,7212,2298,2370,4031,1914,2306,2358,1031,1771,1384,764,1208,1333,1482,17,1390,1373,787,1319,1705,1576,1575,1481,1115,1417,887,1753,1704,1358,1142,1397,1570,1537,1556,1035,1443,1562,946,1701,1294,1234,1685,1581,1067,1109,1447,918,913,1684,950,1449,1568,1211,1793,1292,1791,1420,969,1790,1782,1495,162,1438,1478,1272,1060,1271,1163,1563,1595,1304,1763,1559,991,1308,1194,1610,1215,786,1784,901,1257,1255,1065,1518,861,1468,1632,1073,911,1439,1421,1096,1012,768,1344,912,1008,1785,1427,1323,723,1303,1351,1185,1011,1085,1273,1646,975,1451,20,914,1407,1305,1557,1680,1471,1469,1239,1608,1440,925,1291,1077,1795,1497,1707,1160,1787,1467,835,1210,1200,1214,1786,1760,1233,1349,1209,899,1437,1383,1796,1794,1130,1436,721,1762,1702,924,1361,1253,1324,716,1461,1363,1198,1139,997,850,1003,958,1028,898,1364,1463,1462,1700,1540,1202,1238,1236,1043,1388,693,862,1237,1569,1561,743,863,1101,1780,1425,1676,1649,1730,749,1155,1360,1196,926,1026,766,1183,873,1013,1558,1325,1699,1104,1295,1378,1426,1504,1789,1611,1534,1321,1761,1429])).
% 54.42/54.20 cnf(7720,plain,
% 54.42/54.20 (P9(a69,x77201,f53(f53(f10(a69),x77201),f53(f53(f10(a69),x77201),x77201)))),
% 54.42/54.20 inference(rename_variables,[],[527])).
% 54.42/54.20 cnf(7728,plain,
% 54.42/54.20 (P9(a69,f8(a69,x77281,x77282),x77281)),
% 54.42/54.20 inference(rename_variables,[],[497])).
% 54.42/54.20 cnf(7729,plain,
% 54.42/54.20 (P10(a69,x77291,f11(a69,f53(f53(f10(a69),f8(a69,x77292,x77292)),x77293),f13(f11(a68,f26(a69,f11(a69,f53(f53(f10(a69),f8(a69,x77292,x77292)),x77293),x77291)),f3(a68)))))),
% 54.42/54.20 inference(rename_variables,[],[5951])).
% 54.42/54.20 cnf(7732,plain,
% 54.42/54.20 (P9(a68,x77321,f26(a69,f13(f7(a68,x77321))))),
% 54.42/54.20 inference(rename_variables,[],[6827])).
% 54.42/54.20 cnf(7738,plain,
% 54.42/54.20 (~P10(a68,x77381,x77381)),
% 54.42/54.20 inference(rename_variables,[],[1811])).
% 54.42/54.20 cnf(7742,plain,
% 54.42/54.20 (~E(f11(a69,x77421,f8(a69,f4(a1,a73),f11(a69,a78,f3(a69)))),x77421)),
% 54.42/54.20 inference(scs_inference,[],[503,492,536,567,551,1813,252,356,597,520,559,446,310,302,526,467,450,385,530,382,398,552,569,563,447,236,240,244,419,480,7262,7448,7503,7516,471,297,406,394,497,7325,7411,7525,7530,7710,527,7225,7230,7265,7340,7653,7691,496,7252,7502,589,7440,1811,7513,7702,232,251,463,7227,7232,7283,7406,495,515,7288,7369,7621,315,380,460,449,7291,7294,7489,7566,7565,269,448,600,7457,248,592,493,457,393,296,390,405,479,7322,246,391,341,585,306,602,379,516,349,247,404,329,384,307,587,586,458,273,396,265,305,376,473,403,392,389,272,328,223,275,348,388,292,504,266,387,291,474,584,274,6883,5222,5229,3964,4322,7111,7149,6966,6744,6687,4922,6597,6556,7249,5518,6839,6551,7092,7382,5203,6339,6907,6780,7215,7462,7164,5862,4762,6936,7086,6711,6591,6691,6881,4279,5566,6705,4627,6709,6484,6636,7015,7398,7451,7117,7194,7379,7649,6617,6579,6730,7021,6996,6799,6929,7004,6932,6516,7302,7486,7490,7581,7609,6777,5245,6871,4505,7269,7056,7266,7326,5614,6989,7443,7661,6639,6735,6673,7209,5362,4910,6827,7454,7506,6715,7317,6900,6040,6984,5528,7070,6574,5853,5573,6482,6825,5750,7329,5197,2386,2388,2390,2392,6748,6962,6599,5522,6724,4557,7139,5661,5677,5816,5786,5420,5594,5808,4789,4548,3386,5588,3398,3687,2591,2707,2047,2645,5709,5006,5951,2258,2087,7493,2665,7662,2651,7212,2298,2370,4031,1914,2306,2358,1031,1771,1384,764,1208,1333,1482,17,1390,1373,787,1319,1705,1576,1575,1481,1115,1417,887,1753,1704,1358,1142,1397,1570,1537,1556,1035,1443,1562,946,1701,1294,1234,1685,1581,1067,1109,1447,918,913,1684,950,1449,1568,1211,1793,1292,1791,1420,969,1790,1782,1495,162,1438,1478,1272,1060,1271,1163,1563,1595,1304,1763,1559,991,1308,1194,1610,1215,786,1784,901,1257,1255,1065,1518,861,1468,1632,1073,911,1439,1421,1096,1012,768,1344,912,1008,1785,1427,1323,723,1303,1351,1185,1011,1085,1273,1646,975,1451,20,914,1407,1305,1557,1680,1471,1469,1239,1608,1440,925,1291,1077,1795,1497,1707,1160,1787,1467,835,1210,1200,1214,1786,1760,1233,1349,1209,899,1437,1383,1796,1794,1130,1436,721,1762,1702,924,1361,1253,1324,716,1461,1363,1198,1139,997,850,1003,958,1028,898,1364,1463,1462,1700,1540,1202,1238,1236,1043,1388,693,862,1237,1569,1561,743,863,1101,1780,1425,1676,1649,1730,749,1155,1360,1196,926,1026,766,1183,873,1013,1558,1325,1699,1104,1295,1378,1426,1504,1789,1611,1534,1321,1761,1429,1391,1498,1783,1232,1354,1526,1485,856])).
% 54.42/54.20 cnf(7747,plain,
% 54.42/54.20 (~P10(a68,x77471,x77471)),
% 54.42/54.20 inference(rename_variables,[],[1811])).
% 54.42/54.20 cnf(7752,plain,
% 54.42/54.20 (P9(a69,f8(a69,x77521,x77522),x77521)),
% 54.42/54.20 inference(rename_variables,[],[497])).
% 54.42/54.20 cnf(7756,plain,
% 54.42/54.20 (E(f11(a70,x77561,x77562),f11(a70,x77562,x77561))),
% 54.42/54.20 inference(rename_variables,[],[485])).
% 54.42/54.20 cnf(7764,plain,
% 54.42/54.20 (E(f8(a69,x77641,f2(a69)),x77641)),
% 54.42/54.20 inference(rename_variables,[],[466])).
% 54.42/54.20 cnf(7777,plain,
% 54.42/54.20 (~E(x77771,f11(a70,f3(a70),f11(a1,f53(f53(f10(a1),f8(a1,x77772,x77772)),x77773),f9(a70,x77771))))),
% 54.42/54.20 inference(rename_variables,[],[7095])).
% 54.42/54.20 cnf(7810,plain,
% 54.42/54.20 (P10(a69,x78101,f53(f53(f10(a69),f11(a69,f24(f26(a69,x78101)),f3(a69))),f11(a69,f24(f26(a69,x78101)),f3(a69))))),
% 54.42/54.20 inference(scs_inference,[],[503,492,536,567,551,1813,252,361,356,597,520,559,543,485,7756,446,310,302,526,433,467,450,7385,466,337,385,530,382,398,552,569,563,447,236,240,244,419,480,7262,7448,7503,7516,471,297,406,394,497,7325,7411,7525,7530,7710,7728,527,7225,7230,7265,7340,7653,7691,7720,496,7252,7502,7693,589,7440,1811,7513,7702,7738,232,251,463,7227,7232,7283,7406,495,515,7288,7369,7621,315,380,460,449,7291,7294,7489,7566,7565,269,448,600,7457,248,271,592,493,457,393,296,390,405,479,7322,246,391,341,585,306,602,379,516,349,247,404,329,384,307,587,586,458,273,396,265,305,376,473,403,392,389,272,328,223,275,348,388,292,504,266,387,291,474,584,274,6883,5222,5229,3964,4322,7111,7149,6966,6744,6687,4922,6597,6556,7249,5518,6839,6551,5466,7092,7382,5203,6339,6907,7095,6780,7215,7462,7164,5862,4762,6347,6936,7086,5972,6711,6591,5798,6691,6881,4279,5566,6705,4627,6709,6484,6636,7015,7398,7451,7117,7194,7379,7649,6617,6579,6730,7021,6996,6799,6950,6929,7004,6932,6516,7302,7486,7490,7581,7609,6777,7437,5245,6871,4505,7269,7056,7266,7326,5614,6989,7443,7661,6639,6735,6673,7209,5362,4910,6827,7454,7506,6715,7317,6900,6040,6984,5528,7070,6846,6574,5853,5573,6482,6825,5750,7329,6124,5197,2386,2388,2390,2392,6748,6962,6599,5522,6724,4557,5476,7139,5661,5677,5816,5786,5420,5594,5808,4789,4548,3386,5588,3398,3687,2591,2707,2047,2645,5709,5006,5951,7729,5558,2258,2087,7493,2665,7662,2334,2651,7212,2298,2370,4031,1914,2306,2358,1031,1771,1384,764,1208,1333,1482,17,1390,1373,787,1319,1705,1576,1575,1481,1115,1417,887,1753,1704,1358,1142,1397,1570,1537,1556,1035,1443,1562,946,1701,1294,1234,1685,1581,1067,1109,1447,918,913,1684,950,1449,1568,1211,1793,1292,1791,1420,969,1790,1782,1495,162,1438,1478,1272,1060,1271,1163,1563,1595,1304,1763,1559,991,1308,1194,1610,1215,786,1784,901,1257,1255,1065,1518,861,1468,1632,1073,911,1439,1421,1096,1012,768,1344,912,1008,1785,1427,1323,723,1303,1351,1185,1011,1085,1273,1646,975,1451,20,914,1407,1305,1557,1680,1471,1469,1239,1608,1440,925,1291,1077,1795,1497,1707,1160,1787,1467,835,1210,1200,1214,1786,1760,1233,1349,1209,899,1437,1383,1796,1794,1130,1436,721,1762,1702,924,1361,1253,1324,716,1461,1363,1198,1139,997,850,1003,958,1028,898,1364,1463,1462,1700,1540,1202,1238,1236,1043,1388,693,862,1237,1569,1561,743,863,1101,1780,1425,1676,1649,1730,749,1155,1360,1196,926,1026,766,1183,873,1013,1558,1325,1699,1104,1295,1378,1426,1504,1789,1611,1534,1321,1761,1429,1391,1498,1783,1232,1354,1526,1485,856,1419,1706,1606,1781,1752,1751,1258,818,677,1064,1088,1223,916,933,1274,1251,1245,947,1124,996,851,740,1422,1102,1203,1312,1416,1066,712,1186])).
% 54.42/54.20 cnf(7814,plain,
% 54.42/54.20 (~E(x78141,f11(a70,f3(a70),f11(a1,f53(f53(f10(a1),f8(a1,x78142,x78142)),x78143),f9(a70,x78141))))),
% 54.42/54.20 inference(rename_variables,[],[7095])).
% 54.42/54.20 cnf(7835,plain,
% 54.42/54.20 (~P9(a68,f2(a68),f13(f26(a69,f9(a68,f3(a68)))))),
% 54.42/54.20 inference(scs_inference,[],[503,492,536,567,551,1813,252,361,356,597,520,559,543,485,7756,446,310,302,526,433,467,450,7385,466,337,385,530,382,398,498,552,569,563,447,236,240,244,419,480,7262,7448,7503,7516,471,297,406,394,497,7325,7411,7525,7530,7710,7728,7752,527,7225,7230,7265,7340,7653,7691,7720,496,7252,7502,7693,589,7440,7605,1811,7513,7702,7738,232,251,463,7227,7232,7283,7406,495,515,7288,7369,7621,7624,315,380,460,449,7291,7294,7489,7566,7565,269,448,600,7457,248,271,592,7627,493,457,393,296,390,405,479,7322,246,391,341,585,306,602,7467,379,516,349,247,404,329,384,307,587,586,458,273,396,265,305,376,473,403,392,330,389,272,328,223,275,348,388,292,504,266,387,291,474,584,274,6883,5222,5229,3964,4344,7083,4322,7111,7149,6966,6744,6687,4922,6597,6556,7249,5518,6839,6551,5466,7092,7382,5203,6339,6907,7095,7777,6780,7215,7462,7164,5862,4762,6347,6936,7086,5972,6711,6591,5798,6691,6881,4279,5566,6705,4627,6709,6484,6636,7015,7398,7451,7117,7194,7379,7649,6617,6579,6730,7021,6996,6799,6950,6929,7004,6932,6516,7302,7486,7490,7581,7609,6777,7437,5245,6871,4505,7269,7056,7266,7326,5614,6989,7443,7661,6639,6735,6673,7209,5362,4910,6827,7454,7506,6715,7317,6900,6040,6665,6984,5528,7070,6846,6574,5853,5573,6482,6825,5750,7329,6124,5197,2386,2388,2390,2392,6748,6962,6599,5522,6724,4557,5476,7139,5661,5677,5816,5786,5420,5594,5808,4789,4548,3386,5588,3398,3687,2591,2707,2047,2645,5709,5006,5951,7729,5558,2258,2885,2087,7493,2665,7662,2334,2651,7212,2298,2370,2695,4031,1914,2306,2358,1031,1771,1384,764,1208,1333,1482,17,1390,1373,787,1319,1705,1576,1575,1481,1115,1417,887,1753,1704,1358,1142,1397,1570,1537,1556,1035,1443,1562,946,1701,1294,1234,1685,1581,1067,1109,1447,918,913,1684,950,1449,1568,1211,1793,1292,1791,1420,969,1790,1782,1495,162,1438,1478,1272,1060,1271,1163,1563,1595,1304,1763,1559,991,1308,1194,1610,1215,786,1784,901,1257,1255,1065,1518,861,1468,1632,1073,911,1439,1421,1096,1012,768,1344,912,1008,1785,1427,1323,723,1303,1351,1185,1011,1085,1273,1646,975,1451,20,914,1407,1305,1557,1680,1471,1469,1239,1608,1440,925,1291,1077,1795,1497,1707,1160,1787,1467,835,1210,1200,1214,1786,1760,1233,1349,1209,899,1437,1383,1796,1794,1130,1436,721,1762,1702,924,1361,1253,1324,716,1461,1363,1198,1139,997,850,1003,958,1028,898,1364,1463,1462,1700,1540,1202,1238,1236,1043,1388,693,862,1237,1569,1561,743,863,1101,1780,1425,1676,1649,1730,749,1155,1360,1196,926,1026,766,1183,873,1013,1558,1325,1699,1104,1295,1378,1426,1504,1789,1611,1534,1321,1761,1429,1391,1498,1783,1232,1354,1526,1485,856,1419,1706,1606,1781,1752,1751,1258,818,677,1064,1088,1223,916,933,1274,1251,1245,947,1124,996,851,740,1422,1102,1203,1312,1416,1066,712,1186,931,1131,1500,689,1406,1072,1357,945,1345])).
% 54.42/54.20 cnf(7846,plain,
% 54.42/54.20 (~P10(a68,x78461,x78461)),
% 54.42/54.20 inference(rename_variables,[],[1811])).
% 54.42/54.20 cnf(7878,plain,
% 54.42/54.20 (~E(f8(a68,f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f53(f53(f10(a68),a81),f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74))),f53(f53(f10(a68),f53(f53(f20(a68),a81),a78)),f3(a68))),f8(a68,x78781,x78781))),
% 54.42/54.20 inference(scs_inference,[],[503,492,536,567,551,1813,252,361,356,597,520,559,543,485,7756,446,310,302,526,433,467,450,7385,466,249,337,385,530,382,398,498,552,569,563,447,236,240,244,419,480,7262,7448,7503,7516,471,297,406,394,497,7325,7411,7525,7530,7710,7728,7752,527,7225,7230,7265,7340,7653,7691,7720,496,7252,7502,7693,589,7440,7605,1811,7513,7702,7738,7747,7846,232,251,463,7227,7232,7283,7406,495,515,7288,7369,7621,7624,315,380,460,449,7291,7294,7489,7566,7612,7565,269,448,7692,600,7457,248,271,592,7627,493,457,393,296,390,405,479,7322,7374,246,391,341,585,306,602,7467,379,516,349,247,404,329,384,307,587,586,458,273,396,265,305,376,473,403,392,330,389,272,328,223,275,348,388,292,504,266,387,291,474,584,274,6883,5222,5229,3964,4344,7083,4322,7111,7149,6966,6744,6687,4922,6597,6556,7249,5518,6839,6551,5466,7092,7382,5203,6339,6907,7095,7777,7814,6780,7215,7462,7164,6785,5862,4762,6347,6936,7086,5972,6711,6591,5798,6691,6881,4279,5566,6705,4627,6709,6771,6484,7395,6453,6636,7015,7398,7451,7117,7194,7379,7649,6617,6579,6730,7021,6996,6799,6950,6929,7004,6932,6516,7302,7486,7490,7581,7609,6777,7437,5245,6871,4505,7269,7056,7266,7326,5614,6989,7443,7661,6639,6735,6673,7209,5362,4910,6827,7454,7506,7732,6715,7317,6900,6040,6665,6984,5528,7070,6846,6574,5853,5573,6482,6825,5750,7329,6124,5197,2386,2388,2390,2392,6748,6962,6599,5522,6724,4557,5476,7139,5189,5661,5677,5816,5786,5420,5594,5808,4789,4548,3386,5588,3398,3687,2591,2707,2047,2645,5709,5006,5951,7729,5558,3954,4244,2258,2885,2087,7493,7636,2665,7662,2334,2651,7212,2298,2370,2695,4031,1914,2306,2358,1031,1771,1384,764,1208,1333,1482,17,1390,1373,787,1319,1705,1576,1575,1481,1115,1417,887,1753,1704,1358,1142,1397,1570,1537,1556,1035,1443,1562,946,1701,1294,1234,1685,1581,1067,1109,1447,918,913,1684,950,1449,1568,1211,1793,1292,1791,1420,969,1790,1782,1495,162,1438,1478,1272,1060,1271,1163,1563,1595,1304,1763,1559,991,1308,1194,1610,1215,786,1784,901,1257,1255,1065,1518,861,1468,1632,1073,911,1439,1421,1096,1012,768,1344,912,1008,1785,1427,1323,723,1303,1351,1185,1011,1085,1273,1646,975,1451,20,914,1407,1305,1557,1680,1471,1469,1239,1608,1440,925,1291,1077,1795,1497,1707,1160,1787,1467,835,1210,1200,1214,1786,1760,1233,1349,1209,899,1437,1383,1796,1794,1130,1436,721,1762,1702,924,1361,1253,1324,716,1461,1363,1198,1139,997,850,1003,958,1028,898,1364,1463,1462,1700,1540,1202,1238,1236,1043,1388,693,862,1237,1569,1561,743,863,1101,1780,1425,1676,1649,1730,749,1155,1360,1196,926,1026,766,1183,873,1013,1558,1325,1699,1104,1295,1378,1426,1504,1789,1611,1534,1321,1761,1429,1391,1498,1783,1232,1354,1526,1485,856,1419,1706,1606,1781,1752,1751,1258,818,677,1064,1088,1223,916,933,1274,1251,1245,947,1124,996,851,740,1422,1102,1203,1312,1416,1066,712,1186,931,1131,1500,689,1406,1072,1357,945,1345,1541,799,1424,1428,1087,915,1166,932,955,1235,1170,160,1754,1350,1496,982,1596,1375])).
% 54.42/54.20 cnf(7884,plain,
% 54.42/54.20 (~P9(a68,f25(a68,f53(f53(f10(a68),f53(f53(f20(a68),f27(a1,a83)),f11(a69,a78,f3(a69)))),a74)),f2(a68))),
% 54.42/54.20 inference(scs_inference,[],[503,492,536,567,551,1813,252,361,356,597,520,559,543,485,7756,446,310,302,526,433,467,450,7385,466,249,337,385,530,382,398,498,552,569,563,447,236,240,244,419,480,7262,7448,7503,7516,471,297,406,394,497,7325,7411,7525,7530,7710,7728,7752,527,7225,7230,7265,7340,7653,7691,7720,496,7252,7502,7693,589,7440,7605,1811,7513,7702,7738,7747,7846,232,251,463,7227,7232,7283,7406,495,515,7288,7369,7621,7624,315,380,460,449,7291,7294,7489,7566,7612,7565,269,448,7692,600,7457,248,271,592,7627,493,457,393,296,390,405,479,7322,7374,246,391,341,585,306,602,7467,379,516,349,247,404,329,384,307,587,586,458,273,396,265,305,376,473,403,392,330,389,272,328,223,275,348,388,292,504,266,387,291,474,584,274,6883,5222,5229,3964,4344,7083,4322,7111,7149,6966,6744,6687,4922,6597,6556,7249,5518,6839,6370,6551,5466,7092,7382,5203,6339,6907,7095,7777,7814,6780,7215,7462,7164,6785,5862,4762,6347,6936,7086,5972,6711,6591,5798,6691,6881,4279,5566,6705,4627,6709,6771,6484,7395,6453,6636,7015,7398,7451,7117,7194,7379,7649,6617,6579,6730,7021,6996,6799,6950,6929,7004,6932,6516,7302,7486,7490,7581,7609,6777,7437,5245,6871,4505,7269,7056,7266,7326,5614,6989,7443,7661,6639,6735,6673,7209,5362,4910,6827,7454,7506,7732,6715,7317,6900,6040,6665,6984,5528,7070,6846,6574,5853,5573,6482,6825,5750,7329,6124,5197,2386,2388,2390,2392,6748,6962,6599,5522,6724,4557,5476,7139,5189,5661,5677,5816,5786,5420,5594,5808,4789,4548,3386,5588,3398,3687,2591,2707,2047,2645,5709,5006,5951,7729,5558,3954,4244,2258,2885,2087,7493,7636,2665,7662,2334,2651,7212,2298,2370,2695,4031,1914,2306,2358,1031,1771,1384,764,1208,1333,1482,17,1390,1373,787,1319,1705,1576,1575,1481,1115,1417,887,1753,1704,1358,1142,1397,1570,1537,1556,1035,1443,1562,946,1701,1294,1234,1685,1581,1067,1109,1447,918,913,1684,950,1449,1568,1211,1793,1292,1791,1420,969,1790,1782,1495,162,1438,1478,1272,1060,1271,1163,1563,1595,1304,1763,1559,991,1308,1194,1610,1215,786,1784,901,1257,1255,1065,1518,861,1468,1632,1073,911,1439,1421,1096,1012,768,1344,912,1008,1785,1427,1323,723,1303,1351,1185,1011,1085,1273,1646,975,1451,20,914,1407,1305,1557,1680,1471,1469,1239,1608,1440,925,1291,1077,1795,1497,1707,1160,1787,1467,835,1210,1200,1214,1786,1760,1233,1349,1209,899,1437,1383,1796,1794,1130,1436,721,1762,1702,924,1361,1253,1324,716,1461,1363,1198,1139,997,850,1003,958,1028,898,1364,1463,1462,1700,1540,1202,1238,1236,1043,1388,693,862,1237,1569,1561,743,863,1101,1780,1425,1676,1649,1730,749,1155,1360,1196,926,1026,766,1183,873,1013,1558,1325,1699,1104,1295,1378,1426,1504,1789,1611,1534,1321,1761,1429,1391,1498,1783,1232,1354,1526,1485,856,1419,1706,1606,1781,1752,1751,1258,818,677,1064,1088,1223,916,933,1274,1251,1245,947,1124,996,851,740,1422,1102,1203,1312,1416,1066,712,1186,931,1131,1500,689,1406,1072,1357,945,1345,1541,799,1424,1428,1087,915,1166,932,955,1235,1170,160,1754,1350,1496,982,1596,1375,845,1423,1089])).
% 54.42/54.20 cnf(7893,plain,
% 54.42/54.20 (E(f53(f53(f10(a70),x78931),x78932),f53(f53(f10(a70),x78932),x78931))),
% 54.42/54.20 inference(rename_variables,[],[483])).
% 54.42/54.20 cnf(7895,plain,
% 54.42/54.20 (E(f53(f53(f10(a70),x78951),x78952),f53(f53(f10(a70),x78952),x78951))),
% 54.42/54.20 inference(rename_variables,[],[483])).
% 54.42/54.20 cnf(7977,plain,
% 54.42/54.20 (~P10(a68,f2(a68),f53(f53(f10(a68),f8(a68,x79771,x79771)),x79772))),
% 54.42/54.20 inference(scs_inference,[],[503,482,483,7893,7895,492,536,567,551,523,1813,252,361,256,356,420,597,520,524,559,543,485,7756,446,310,302,526,433,467,450,7385,466,7764,441,249,337,385,530,382,398,498,552,569,563,447,236,240,244,419,480,7262,7448,7503,7516,471,297,406,394,497,7325,7411,7525,7530,7710,7728,7752,527,7225,7230,7265,7340,7653,7691,7720,496,7252,7502,7693,589,7440,7605,1811,7513,7702,7738,7747,7846,232,251,463,7227,7232,7283,7406,495,515,7288,7369,7621,7624,315,380,460,449,7291,7294,7489,7566,7612,7565,269,448,7692,600,7457,248,271,592,7627,493,457,393,296,390,405,479,7322,7374,246,391,341,585,306,602,7467,379,516,349,247,404,329,378,384,307,587,586,458,273,396,265,305,376,473,224,403,392,330,389,272,328,223,275,348,388,292,504,266,387,291,474,584,274,6883,5222,5229,3964,4344,7078,6395,7083,4322,5539,7111,7149,6966,6744,6687,4922,6597,6556,7249,5518,6839,7076,7132,6370,6551,5466,7092,7382,7090,5203,6339,6907,7095,7777,7814,7088,6780,7215,7462,7164,6785,5862,4762,6347,6936,7086,5972,4988,6711,6591,5798,6691,6881,4279,5566,6586,6705,4627,6211,6709,6944,6771,6484,7395,6453,6636,7015,7398,7451,7117,7194,7379,7649,6617,6579,6730,7021,6996,6799,6950,6929,7004,6932,6516,7302,7486,7490,7581,7609,6777,7437,5245,6871,4505,7269,7056,7266,7326,5614,6989,7443,7661,6639,6735,6673,7209,5362,4910,6827,7454,7506,7732,6715,7317,6900,6040,7217,6665,6984,5528,7070,6846,6574,5853,5573,6482,6825,5750,7329,6124,5197,2386,2388,2390,2392,6748,6356,6962,6189,6599,5522,6724,4557,6497,5476,4558,7139,5189,5661,5677,5816,5786,5420,5594,5919,5640,5808,4789,4548,3386,5588,3398,3687,2591,1883,2707,2047,2645,5590,5564,4989,5866,5709,5006,5951,7729,5558,3954,4244,2258,2885,2808,2087,7493,7636,3404,2665,7662,2104,2334,2651,7212,2298,2370,2695,4031,1914,2306,2358,1031,1771,1384,764,1208,1333,1482,17,1390,1373,787,1319,1705,1576,1575,1481,1115,1417,887,1753,1704,1358,1142,1397,1570,1537,1556,1035,1443,1562,946,1701,1294,1234,1685,1581,1067,1109,1447,918,913,1684,950,1449,1568,1211,1793,1292,1791,1420,969,1790,1782,1495,162,1438,1478,1272,1060,1271,1163,1563,1595,1304,1763,1559,991,1308,1194,1610,1215,786,1784,901,1257,1255,1065,1518,861,1468,1632,1073,911,1439,1421,1096,1012,768,1344,912,1008,1785,1427,1323,723,1303,1351,1185,1011,1085,1273,1646,975,1451,20,914,1407,1305,1557,1680,1471,1469,1239,1608,1440,925,1291,1077,1795,1497,1707,1160,1787,1467,835,1210,1200,1214,1786,1760,1233,1349,1209,899,1437,1383,1796,1794,1130,1436,721,1762,1702,924,1361,1253,1324,716,1461,1363,1198,1139,997,850,1003,958,1028,898,1364,1463,1462,1700,1540,1202,1238,1236,1043,1388,693,862,1237,1569,1561,743,863,1101,1780,1425,1676,1649,1730,749,1155,1360,1196,926,1026,766,1183,873,1013,1558,1325,1699,1104,1295,1378,1426,1504,1789,1611,1534,1321,1761,1429,1391,1498,1783,1232,1354,1526,1485,856,1419,1706,1606,1781,1752,1751,1258,818,677,1064,1088,1223,916,933,1274,1251,1245,947,1124,996,851,740,1422,1102,1203,1312,1416,1066,712,1186,931,1131,1500,689,1406,1072,1357,945,1345,1541,799,1424,1428,1087,915,1166,932,955,1235,1170,160,1754,1350,1496,982,1596,1375,845,1423,1089,1276,1021,976,120,114,124,3,194,172,145,122,116,2,193,173,157,153,21,7,121,115,23,8,1727,830,1006,1051,1430,1494,1510,970,1382,1682,1604,1470,1362,1059,968,1517,1663,1097,1113,1022,1269,706,1225,1098,1093,1153])).
% 54.42/54.20 cnf(7984,plain,
% 54.42/54.20 (~P10(f72(a68),f9(f72(a68),f53(f53(f10(f72(a68)),f53(f53(f10(a70),f2(f72(a68))),f3(a70))),f53(f53(f10(a70),f2(f72(a68))),f3(a70)))),f2(f72(a68)))),
% 54.42/54.20 inference(scs_inference,[],[503,482,483,7893,7895,492,536,567,551,523,1813,252,361,256,356,420,597,520,524,559,543,485,7756,446,310,302,526,433,467,450,7385,466,7764,441,249,337,385,530,382,398,498,552,569,563,447,236,240,244,419,480,7262,7448,7503,7516,471,297,406,394,497,7325,7411,7525,7530,7710,7728,7752,527,7225,7230,7265,7340,7653,7691,7720,496,7252,7502,7693,589,7440,7605,1811,7513,7702,7738,7747,7846,232,251,463,7227,7232,7283,7406,495,515,7288,7369,7621,7624,315,380,460,449,7291,7294,7489,7566,7612,7565,269,448,7692,600,7457,248,271,592,7627,493,457,393,296,390,405,479,7322,7374,246,391,341,585,306,602,7467,379,516,349,247,404,329,378,384,307,587,586,458,273,396,265,305,376,473,224,403,392,330,389,272,328,223,275,348,388,292,504,266,387,291,474,584,274,6883,5222,5229,3964,4344,7078,6395,7083,4322,5539,7111,7149,6966,6744,6687,4922,6597,6556,7249,5518,6839,7076,7132,6370,6551,5466,7092,7382,7090,5203,6339,6907,7095,7777,7814,7088,6780,7215,7462,7164,6785,5862,4762,6347,6936,7086,5972,4988,6711,6591,5798,6691,6545,6881,4279,5566,6586,6705,4627,6211,6709,6944,6771,6484,7395,6453,6636,7015,7398,7451,7117,7194,7379,7649,6617,6579,6730,7021,6996,6799,6950,6929,7004,6932,6516,7302,7486,7490,7581,7609,6777,7437,5245,6871,4505,7269,7056,7266,7326,5614,6989,7443,7661,6639,6735,6673,7209,5362,4910,6827,7454,7506,7732,6715,7317,6900,6040,7217,6665,6984,5528,7070,6846,6574,5319,5853,5573,6670,6482,6825,5750,7329,6124,5197,2386,2388,2390,2392,6748,6356,6962,6189,6599,5522,6724,4557,6497,5476,4558,7139,5189,5661,5677,5816,5786,5420,5594,5919,5640,5808,4789,4548,3386,5588,3398,3687,2591,1883,2707,2047,2645,5590,5564,4989,5866,5709,5006,5951,7729,5558,3954,4244,2258,2885,2808,2087,7493,7636,3404,2665,7662,2104,2334,2651,7212,2298,2370,2695,4031,1914,2306,2358,1031,1771,1384,764,1208,1333,1482,17,1390,1373,787,1319,1705,1576,1575,1481,1115,1417,887,1753,1704,1358,1142,1397,1570,1537,1556,1035,1443,1562,946,1701,1294,1234,1685,1581,1067,1109,1447,918,913,1684,950,1449,1568,1211,1793,1292,1791,1420,969,1790,1782,1495,162,1438,1478,1272,1060,1271,1163,1563,1595,1304,1763,1559,991,1308,1194,1610,1215,786,1784,901,1257,1255,1065,1518,861,1468,1632,1073,911,1439,1421,1096,1012,768,1344,912,1008,1785,1427,1323,723,1303,1351,1185,1011,1085,1273,1646,975,1451,20,914,1407,1305,1557,1680,1471,1469,1239,1608,1440,925,1291,1077,1795,1497,1707,1160,1787,1467,835,1210,1200,1214,1786,1760,1233,1349,1209,899,1437,1383,1796,1794,1130,1436,721,1762,1702,924,1361,1253,1324,716,1461,1363,1198,1139,997,850,1003,958,1028,898,1364,1463,1462,1700,1540,1202,1238,1236,1043,1388,693,862,1237,1569,1561,743,863,1101,1780,1425,1676,1649,1730,749,1155,1360,1196,926,1026,766,1183,873,1013,1558,1325,1699,1104,1295,1378,1426,1504,1789,1611,1534,1321,1761,1429,1391,1498,1783,1232,1354,1526,1485,856,1419,1706,1606,1781,1752,1751,1258,818,677,1064,1088,1223,916,933,1274,1251,1245,947,1124,996,851,740,1422,1102,1203,1312,1416,1066,712,1186,931,1131,1500,689,1406,1072,1357,945,1345,1541,799,1424,1428,1087,915,1166,932,955,1235,1170,160,1754,1350,1496,982,1596,1375,845,1423,1089,1276,1021,976,120,114,124,3,194,172,145,122,116,2,193,173,157,153,21,7,121,115,23,8,1727,830,1006,1051,1430,1494,1510,970,1382,1682,1604,1470,1362,1059,968,1517,1663,1097,1113,1022,1269,706,1225,1098,1093,1153,1441,1442,1184])).
% 54.42/54.20 cnf(8048,plain,
% 54.42/54.20 (P9(a68,x80481,x80481)),
% 54.42/54.20 inference(rename_variables,[],[447])).
% 54.42/54.20 cnf(8059,plain,
% 54.42/54.20 (P10(a68,x80591,f11(a68,f26(a69,f24(x80591)),f3(a68)))),
% 54.42/54.20 inference(rename_variables,[],[515])).
% 54.42/54.20 cnf(8068,plain,
% 54.42/54.20 (P9(a68,x80681,x80681)),
% 54.42/54.20 inference(rename_variables,[],[447])).
% 54.42/54.20 cnf(8072,plain,
% 54.42/54.20 (P9(a69,x80721,f53(f53(f10(a69),x80721),f53(f53(f10(a69),x80721),x80721)))),
% 54.42/54.20 inference(rename_variables,[],[527])).
% 54.42/54.20 cnf(8075,plain,
% 54.42/54.20 (P9(a69,f8(a69,x80751,x80752),x80751)),
% 54.42/54.20 inference(rename_variables,[],[497])).
% 54.42/54.20 cnf(8079,plain,
% 54.42/54.20 (~E(f11(a69,x80791,f8(a69,f4(a1,a73),f11(a69,a78,f3(a69)))),x80791)),
% 54.42/54.20 inference(rename_variables,[],[7742])).
% 54.42/54.20 cnf(8093,plain,
% 54.42/54.20 (P9(a69,x80931,f53(f53(f10(a69),x80931),f53(f53(f10(a69),x80931),x80931)))),
% 54.42/54.20 inference(rename_variables,[],[527])).
% 54.42/54.20 cnf(8100,plain,
% 54.42/54.20 (P9(a69,x81001,f53(f53(f10(a69),x81001),f53(f53(f10(a69),x81001),x81001)))),
% 54.42/54.20 inference(rename_variables,[],[527])).
% 54.42/54.20 cnf(8109,plain,
% 54.42/54.20 (P9(a69,f2(a69),x81091)),
% 54.42/54.20 inference(rename_variables,[],[463])).
% 54.42/54.20 cnf(8110,plain,
% 54.42/54.20 (P9(a68,x81101,x81101)),
% 54.42/54.20 inference(rename_variables,[],[447])).
% 54.42/54.20 cnf(8120,plain,
% 54.42/54.20 (~P9(a70,f11(a70,f53(f53(f10(a70),f8(a70,x81201,x81202)),x81203),f11(a70,f11(a70,f53(f53(f10(a70),f8(a70,x81202,x81201)),x81203),x81204),f3(a70))),x81204)),
% 54.42/54.20 inference(rename_variables,[],[7508])).
% 54.42/54.20 cnf(8152,plain,
% 54.42/54.20 (~P9(a70,f11(a70,f53(f53(f10(a70),f8(a70,x81521,x81522)),x81523),f11(a70,f11(a70,f53(f53(f10(a70),f8(a70,x81522,x81521)),x81523),x81524),f3(a70))),x81524)),
% 54.42/54.20 inference(rename_variables,[],[7508])).
% 54.42/54.20 cnf(8177,plain,
% 54.42/54.20 (~E(f11(a69,x81771,f8(a69,f4(a1,a73),f11(a69,a78,f3(a69)))),x81771)),
% 54.42/54.20 inference(rename_variables,[],[7742])).
% 54.42/54.20 cnf(8201,plain,
% 54.42/54.20 ($false),
% 54.42/54.20 inference(scs_inference,[],[502,547,293,312,429,518,250,309,302,535,561,454,447,8048,8068,8110,236,240,244,419,527,8072,8093,8100,496,1811,232,463,8109,515,8059,381,449,495,397,599,380,497,8075,296,341,405,391,598,306,390,384,377,305,330,273,403,272,328,223,266,292,388,387,474,291,274,5704,6924,7677,5847,7310,4523,7742,8079,8177,6514,7234,7343,7878,7248,6239,7984,7611,7685,7810,7615,7450,7644,7510,7570,7241,7497,7508,8120,8152,7719,7505,7193,7196,2304,5707,7568,7884,7977,7679,7835,7697,6549,3924,7073,6744,4983,2800,5709,5034,2258,2431,2651,2298,2368,2358,1034,1398,927,1030,1366,1144,1006,18,1031,1430,1648,1771,830,1494,1737,1208,1051,1390,1459,1576,1753,17,1373,1570,1537,1704,970,787,946,1109,1562,1443,1682,913,1604,1684,1575,1481,1292,1420,1115,1782,1793,1790,1272,1060,1271,1397,968,1495,1763,991,1362,1438,1784,1035,1563,1059,1382,1556,1478,1468,1518,1073,911,1701,1785,1234,1427,901,1257,1294,1303]),
% 54.42/54.20 ['proof']).
% 54.55/54.20 % SZS output end Proof
% 54.55/54.20 % Total time :52.740000s
%------------------------------------------------------------------------------