TSTP Solution File: SWW265+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWW265+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 00:13:24 EDT 2023
% Result : Theorem 55.04s 55.64s
% Output : CNFRefutation 55.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWW265+1 : TPTP v8.1.2. Released v5.2.0.
% 0.10/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 19:12:55 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 54.88/55.56 %-------------------------------------------
% 54.88/55.56 % File :CSE---1.6
% 54.88/55.56 % Problem :theBenchmark
% 54.88/55.56 % Transform :cnf
% 54.88/55.56 % Format :tptp:raw
% 54.88/55.56 % Command :java -jar mcs_scs.jar %d %s
% 54.88/55.56
% 54.88/55.56 % Result :Theorem 53.720000s
% 54.88/55.56 % Output :CNFRefutation 53.720000s
% 54.88/55.56 %-------------------------------------------
% 54.88/55.56 %------------------------------------------------------------------------------
% 54.88/55.56 % File : SWW265+1 : TPTP v8.1.2. Released v5.2.0.
% 54.88/55.56 % Domain : Software Verification
% 54.88/55.56 % Problem : Fundamental Theorem of Algebra 438531, 1000 axioms selected
% 54.88/55.56 % Version : Especial.
% 54.88/55.56 % English :
% 54.88/55.56
% 54.88/55.56 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 54.88/55.56 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 54.88/55.57 % Source : [Bla11]
% 54.88/55.57 % Names : fta_438531.1000.p [Bla11]
% 54.88/55.57
% 54.88/55.57 % Status : Theorem
% 54.88/55.57 % Rating : 0.69 v8.1.0, 0.64 v7.5.0, 0.56 v7.4.0, 0.57 v7.3.0, 0.55 v7.2.0, 0.52 v7.1.0, 0.48 v7.0.0, 0.50 v6.4.0, 0.58 v6.3.0, 0.46 v6.2.0, 0.52 v6.1.0, 0.70 v6.0.0, 0.65 v5.5.0, 0.78 v5.4.0, 0.82 v5.3.0, 0.85 v5.2.0
% 54.88/55.57 % Syntax : Number of formulae : 1290 ( 390 unt; 0 def)
% 54.88/55.57 % Number of atoms : 2968 ( 765 equ)
% 54.88/55.57 % Maximal formula atoms : 8 ( 2 avg)
% 54.88/55.57 % Number of connectives : 1841 ( 163 ~; 53 |; 97 &)
% 54.88/55.57 % ( 226 <=>;1302 =>; 0 <=; 0 <~>)
% 54.88/55.57 % Maximal formula depth : 13 ( 4 avg)
% 54.88/55.57 % Maximal term depth : 12 ( 2 avg)
% 54.88/55.57 % Number of predicates : 83 ( 82 usr; 0 prp; 1-3 aty)
% 54.88/55.57 % Number of functors : 45 ( 45 usr; 16 con; 0-3 aty)
% 54.88/55.57 % Number of variables : 2690 (2666 !; 24 ?)
% 54.88/55.57 % SPC : FOF_THM_RFO_SEQ
% 54.88/55.57
% 54.88/55.57 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 54.88/55.57 % 2011-03-01 12:00:39
% 54.88/55.57 %------------------------------------------------------------------------------
% 54.88/55.57 %----Relevant facts (998)
% 54.88/55.57 fof(fact_ext,axiom,
% 54.88/55.57 ! [V_g_2,V_f_2] :
% 54.88/55.57 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 54.88/55.57 => V_f_2 = V_g_2 ) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_t_I1_J,axiom,
% 54.88/55.57 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_t_I2_J,axiom,
% 54.88/55.57 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_t____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_m_I1_J,axiom,
% 54.88/55.57 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_assms,axiom,
% 54.88/55.57 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p)) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_w0,axiom,
% 54.88/55.57 v_w____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_kas_I1_J,axiom,
% 54.88/55.57 v_a____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_m_I2_J,axiom,
% 54.88/55.57 ! [B_z] :
% 54.88/55.57 ( 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____))
% 54.88/55.57 => 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____) ) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_kas_I2_J,axiom,
% 54.88/55.57 v_k____ != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 54.88/55.57
% 54.88/55.57 fof(fact__0960_A_060_At_A_094_Ak_096,axiom,
% 54.88/55.57 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____)) ).
% 54.88/55.57
% 54.88/55.57 fof(fact__096t_A_K_Acmod_Aw_A_060_061_A1_A_K_Acmod_Aw_096,axiom,
% 54.88/55.57 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____))) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_tw,axiom,
% 54.88/55.57 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____)) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_complex__of__real__power,axiom,
% 54.88/55.57 ! [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)) ).
% 54.88/55.57
% 54.88/55.57 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,
% 54.88/55.57 ? [B_m] :
% 54.88/55.57 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_m)
% 54.88/55.57 & ! [B_z] :
% 54.88/55.57 ( 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____))
% 54.88/55.57 => 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) ) ) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_norm__ratiotest__lemma,axiom,
% 54.88/55.57 ! [V_y,V_x,V_c,T_a] :
% 54.88/55.57 ( class_RealVector_Oreal__normed__vector(T_a)
% 54.88/55.57 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_c,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 54.88/55.57 => ( 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)))
% 54.88/55.57 => V_x = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_power__Suc__less,axiom,
% 54.88/55.57 ! [V_n,V_a,T_a] :
% 54.88/55.57 ( class_Rings_Olinordered__semidom(T_a)
% 54.88/55.57 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.57 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 54.88/55.57 => 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)) ) ) ) ).
% 54.88/55.57
% 54.88/55.57 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,
% 54.88/55.57 ! [V_d2] :
% 54.88/55.57 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_d2)
% 54.88/55.57 => ? [B_e] :
% 54.88/55.57 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_e)
% 54.88/55.57 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_e,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 54.88/55.57 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_e,V_d2) ) ) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_norm__power__ineq,axiom,
% 54.88/55.57 ! [V_n,V_x,T_a] :
% 54.88/55.57 ( class_RealVector_Oreal__normed__algebra__1(T_a)
% 54.88/55.57 => 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)) ) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_real__mult__le__cancel__iff1,axiom,
% 54.88/55.57 ! [V_y_2,V_x_2,V_z_2] :
% 54.88/55.57 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)
% 54.88/55.57 => ( 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))
% 54.88/55.57 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_real__mult__le__cancel__iff2,axiom,
% 54.88/55.57 ! [V_y_2,V_x_2,V_z_2] :
% 54.88/55.57 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)
% 54.88/55.57 => ( 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))
% 54.88/55.57 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_norm__mult__less,axiom,
% 54.88/55.57 ! [V_s,V_y,V_r,V_x,T_a] :
% 54.88/55.57 ( class_RealVector_Oreal__normed__algebra(T_a)
% 54.88/55.57 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),V_r)
% 54.88/55.57 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_y),V_s)
% 54.88/55.57 => 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)) ) ) ) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_norm__mult__ineq,axiom,
% 54.88/55.57 ! [V_y,V_x,T_a] :
% 54.88/55.57 ( class_RealVector_Oreal__normed__algebra(T_a)
% 54.88/55.57 => 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))) ) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_zero__less__norm__iff,axiom,
% 54.88/55.57 ! [V_x_2,T_a] :
% 54.88/55.57 ( class_RealVector_Oreal__normed__vector(T_a)
% 54.88/55.57 => ( 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))
% 54.88/55.57 <=> V_x_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_norm__le__zero__iff,axiom,
% 54.88/55.57 ! [V_x_2,T_a] :
% 54.88/55.57 ( class_RealVector_Oreal__normed__vector(T_a)
% 54.88/55.57 => ( 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))
% 54.88/55.57 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_power__gt1__lemma,axiom,
% 54.88/55.57 ! [V_n,V_a,T_a] :
% 54.88/55.57 ( class_Rings_Olinordered__semidom(T_a)
% 54.88/55.57 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 54.88/55.57 => 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))) ) ) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_less_Oprems,axiom,
% 54.88/55.57 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____)) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_w,axiom,
% 54.88/55.57 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) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_nat__zero__less__power__iff,axiom,
% 54.88/55.57 ! [V_n_2,V_x_2] :
% 54.88/55.57 ( 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))
% 54.88/55.57 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2)
% 54.88/55.57 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_nat__power__less__imp__less,axiom,
% 54.88/55.57 ! [V_n,V_m,V_i] :
% 54.88/55.57 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i)
% 54.88/55.57 => ( 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))
% 54.88/55.57 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_power__mult,axiom,
% 54.88/55.57 ! [V_n,V_m,V_a,T_a] :
% 54.88/55.57 ( class_Groups_Omonoid__mult(T_a)
% 54.88/55.57 => 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) ) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_power__one__right,axiom,
% 54.88/55.57 ! [V_a,T_a] :
% 54.88/55.57 ( class_Groups_Omonoid__mult(T_a)
% 54.88/55.57 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_constant__def,axiom,
% 54.88/55.57 ! [V_f_2,T_b,T_a] :
% 54.88/55.57 ( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(T_a,T_b,V_f_2)
% 54.88/55.57 <=> ! [B_x,B_y] : hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) ) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_power__0,axiom,
% 54.88/55.57 ! [V_a,T_a] :
% 54.88/55.57 ( class_Power_Opower(T_a)
% 54.88/55.57 => 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) ) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_power__eq__imp__eq__base,axiom,
% 54.88/55.57 ! [V_b,V_n,V_a,T_a] :
% 54.88/55.57 ( class_Rings_Olinordered__semidom(T_a)
% 54.88/55.57 => ( 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)
% 54.88/55.57 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.57 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 54.88/55.57 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 54.88/55.57 => V_a = V_b ) ) ) ) ) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_one__less__power,axiom,
% 54.88/55.57 ! [V_n,V_a,T_a] :
% 54.88/55.57 ( class_Rings_Olinordered__semidom(T_a)
% 54.88/55.57 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 54.88/55.57 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 54.88/55.57 => 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)) ) ) ) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_real__le__antisym,axiom,
% 54.88/55.57 ! [V_w,V_z] :
% 54.88/55.57 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w)
% 54.88/55.57 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z)
% 54.88/55.57 => V_z = V_w ) ) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_real__le__trans,axiom,
% 54.88/55.57 ! [V_k,V_j,V_i] :
% 54.88/55.57 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_j)
% 54.88/55.57 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j,V_k)
% 54.88/55.57 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_k) ) ) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_real__le__linear,axiom,
% 54.88/55.57 ! [V_w,V_z] :
% 54.88/55.57 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w)
% 54.88/55.57 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z) ) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_real__le__refl,axiom,
% 54.88/55.57 ! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_w) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_real__mult__assoc,axiom,
% 54.88/55.57 ! [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)) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_real__mult__commute,axiom,
% 54.88/55.57 ! [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) ).
% 54.88/55.57
% 54.88/55.57 fof(fact_of__real__eq__iff,axiom,
% 54.88/55.57 ! [V_y_2,V_x_2,T_a] :
% 54.88/55.58 ( class_RealVector_Oreal__algebra__1(T_a)
% 54.88/55.58 => ( c_RealVector_Oof__real(T_a,V_x_2) = c_RealVector_Oof__real(T_a,V_y_2)
% 54.88/55.58 <=> V_x_2 = V_y_2 ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_mult__right_Ozero,axiom,
% 54.88/55.58 ! [V_x,T_a] :
% 54.88/55.58 ( class_RealVector_Oreal__normed__algebra(T_a)
% 54.88/55.58 => 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) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_mult_Ozero__right,axiom,
% 54.88/55.58 ! [V_a,T_a] :
% 54.88/55.58 ( class_RealVector_Oreal__normed__algebra(T_a)
% 54.88/55.58 => 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) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_mult__left_Ozero,axiom,
% 54.88/55.58 ! [V_y,T_a] :
% 54.88/55.58 ( class_RealVector_Oreal__normed__algebra(T_a)
% 54.88/55.58 => 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) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_mult_Ozero__left,axiom,
% 54.88/55.58 ! [V_b,T_a] :
% 54.88/55.58 ( class_RealVector_Oreal__normed__algebra(T_a)
% 54.88/55.58 => 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) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_field__power__not__zero,axiom,
% 54.88/55.58 ! [V_n,V_a,T_a] :
% 54.88/55.58 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 54.88/55.58 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.58 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_power__eq__0__iff,axiom,
% 54.88/55.58 ! [V_n_2,V_aa_2,T_a] :
% 54.88/55.58 ( ( class_Power_Opower(T_a)
% 54.88/55.58 & class_Rings_Omult__zero(T_a)
% 54.88/55.58 & class_Rings_Ono__zero__divisors(T_a)
% 54.88/55.58 & class_Rings_Ozero__neq__one(T_a) )
% 54.88/55.58 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_aa_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.58 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.58 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_power__mult__distrib,axiom,
% 54.88/55.58 ! [V_n,V_b,V_a,T_a] :
% 54.88/55.58 ( class_Groups_Ocomm__monoid__mult(T_a)
% 54.88/55.58 => 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)) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_power__commutes,axiom,
% 54.88/55.58 ! [V_n,V_a,T_a] :
% 54.88/55.58 ( class_Groups_Omonoid__mult(T_a)
% 54.88/55.58 => 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)) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_power__one,axiom,
% 54.88/55.58 ! [V_n,T_a] :
% 54.88/55.58 ( class_Groups_Omonoid__mult(T_a)
% 54.88/55.58 => 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) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_less__eq__real__def,axiom,
% 54.88/55.58 ! [V_y_2,V_x_2] :
% 54.88/55.58 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)
% 54.88/55.58 <=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)
% 54.88/55.58 | V_x_2 = V_y_2 ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_real__less__def,axiom,
% 54.88/55.58 ! [V_y_2,V_x_2] :
% 54.88/55.58 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)
% 54.88/55.58 <=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)
% 54.88/55.58 & V_x_2 != V_y_2 ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_real__mult__left__cancel,axiom,
% 54.88/55.58 ! [V_b_2,V_aa_2,V_ca_2] :
% 54.88/55.58 ( V_ca_2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 54.88/55.58 => ( 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)
% 54.88/55.58 <=> V_aa_2 = V_b_2 ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_real__mult__right__cancel,axiom,
% 54.88/55.58 ! [V_b_2,V_aa_2,V_ca_2] :
% 54.88/55.58 ( V_ca_2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 54.88/55.58 => ( 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)
% 54.88/55.58 <=> V_aa_2 = V_b_2 ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_real__zero__not__eq__one,axiom,
% 54.88/55.58 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_real__mult__1,axiom,
% 54.88/55.58 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),V_z) = V_z ).
% 54.88/55.58
% 54.88/55.58 fof(fact_power__mono,axiom,
% 54.88/55.58 ! [V_n,V_b,V_a,T_a] :
% 54.88/55.58 ( class_Rings_Olinordered__semidom(T_a)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.58 => 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)) ) ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_zero__le__power,axiom,
% 54.88/55.58 ! [V_n,V_a,T_a] :
% 54.88/55.58 ( class_Rings_Olinordered__semidom(T_a)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.58 => 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)) ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_zero__less__power,axiom,
% 54.88/55.58 ! [V_n,V_a,T_a] :
% 54.88/55.58 ( class_Rings_Olinordered__semidom(T_a)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.58 => 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)) ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_power__0__left,axiom,
% 54.88/55.58 ! [V_n,T_a] :
% 54.88/55.58 ( ( class_Power_Opower(T_a)
% 54.88/55.58 & class_Rings_Osemiring__0(T_a) )
% 54.88/55.58 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 54.88/55.58 => 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) )
% 54.88/55.58 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 54.88/55.58 => 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) ) ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_power__increasing,axiom,
% 54.88/55.58 ! [V_a,V_N,V_n,T_a] :
% 54.88/55.58 ( class_Rings_Olinordered__semidom(T_a)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_N)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 54.88/55.58 => 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)) ) ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_one__le__power,axiom,
% 54.88/55.58 ! [V_n,V_a,T_a] :
% 54.88/55.58 ( class_Rings_Olinordered__semidom(T_a)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 54.88/55.58 => 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)) ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_power__strict__increasing,axiom,
% 54.88/55.58 ! [V_a,V_N,V_n,T_a] :
% 54.88/55.58 ( class_Rings_Olinordered__semidom(T_a)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 54.88/55.58 => 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)) ) ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_power__less__imp__less__exp,axiom,
% 54.88/55.58 ! [V_n,V_m,V_a,T_a] :
% 54.88/55.58 ( class_Rings_Olinordered__semidom(T_a)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 54.88/55.58 => ( 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))
% 54.88/55.58 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_power__strict__increasing__iff,axiom,
% 54.88/55.58 ! [V_y_2,V_x_2,V_b_2,T_a] :
% 54.88/55.58 ( class_Rings_Olinordered__semidom(T_a)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2)
% 54.88/55.58 => ( 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))
% 54.88/55.58 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x_2,V_y_2) ) ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_power__inject__exp,axiom,
% 54.88/55.58 ! [V_n_2,V_ma_2,V_aa_2,T_a] :
% 54.88/55.58 ( class_Rings_Olinordered__semidom(T_a)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_aa_2)
% 54.88/55.58 => ( 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)
% 54.88/55.58 <=> V_ma_2 = V_n_2 ) ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_norm__zero,axiom,
% 54.88/55.58 ! [T_a] :
% 54.88/55.58 ( class_RealVector_Oreal__normed__vector(T_a)
% 54.88/55.58 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_norm__eq__zero,axiom,
% 54.88/55.58 ! [V_x_2,T_a] :
% 54.88/55.58 ( class_RealVector_Oreal__normed__vector(T_a)
% 54.88/55.58 => ( c_RealVector_Onorm__class_Onorm(T_a,V_x_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 54.88/55.58 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_norm__mult,axiom,
% 54.88/55.58 ! [V_y,V_x,T_a] :
% 54.88/55.58 ( class_RealVector_Oreal__normed__div__algebra(T_a)
% 54.88/55.58 => 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)) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_of__real__eq__0__iff,axiom,
% 54.88/55.58 ! [V_x_2,T_a] :
% 54.88/55.58 ( class_RealVector_Oreal__algebra__1(T_a)
% 54.88/55.58 => ( c_RealVector_Oof__real(T_a,V_x_2) = c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.58 <=> V_x_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_of__real_Ozero,axiom,
% 54.88/55.58 ! [T_a] :
% 54.88/55.58 ( ( class_RealVector_Oreal__algebra__1(T_a)
% 54.88/55.58 & class_RealVector_Oreal__normed__vector(T_a) )
% 54.88/55.58 => c_RealVector_Oof__real(T_a,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_of__real__0,axiom,
% 54.88/55.58 ! [T_a] :
% 54.88/55.58 ( class_RealVector_Oreal__algebra__1(T_a)
% 54.88/55.58 => c_RealVector_Oof__real(T_a,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_real__mult__less__mono2,axiom,
% 54.88/55.58 ! [V_y,V_x,V_z] :
% 54.88/55.58 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_y)
% 54.88/55.58 => 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)) ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_real__mult__order,axiom,
% 54.88/55.58 ! [V_y,V_x] :
% 54.88/55.58 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y)
% 54.88/55.58 => 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)) ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_real__mult__less__iff1,axiom,
% 54.88/55.58 ! [V_y_2,V_x_2,V_z_2] :
% 54.88/55.58 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)
% 54.88/55.58 => ( 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))
% 54.88/55.58 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_norm__ge__zero,axiom,
% 54.88/55.58 ! [V_x,T_a] :
% 54.88/55.58 ( class_RealVector_Oreal__normed__vector(T_a)
% 54.88/55.58 => 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)) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_norm__not__less__zero,axiom,
% 54.88/55.58 ! [V_x,T_a] :
% 54.88/55.58 ( class_RealVector_Oreal__normed__vector(T_a)
% 54.88/55.58 => ~ 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)) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_norm__one,axiom,
% 54.88/55.58 ! [T_a] :
% 54.88/55.58 ( class_RealVector_Oreal__normed__algebra__1(T_a)
% 54.88/55.58 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_of__real__mult,axiom,
% 54.88/55.58 ! [V_y,V_x,T_a] :
% 54.88/55.58 ( class_RealVector_Oreal__algebra__1(T_a)
% 54.88/55.58 => 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)) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_norm__power,axiom,
% 54.88/55.58 ! [V_n,V_x,T_a] :
% 54.88/55.58 ( class_RealVector_Oreal__normed__div__algebra(T_a)
% 54.88/55.58 => 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) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_of__real__1,axiom,
% 54.88/55.58 ! [T_a] :
% 54.88/55.58 ( class_RealVector_Oreal__algebra__1(T_a)
% 54.88/55.58 => c_RealVector_Oof__real(T_a,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_of__real__power,axiom,
% 54.88/55.58 ! [V_n,V_x,T_a] :
% 54.88/55.58 ( class_RealVector_Oreal__algebra__1(T_a)
% 54.88/55.58 => 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) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_power__less__imp__less__base,axiom,
% 54.88/55.58 ! [V_b,V_n,V_a,T_a] :
% 54.88/55.58 ( class_Rings_Olinordered__semidom(T_a)
% 54.88/55.58 => ( 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))
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 54.88/55.58 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_power__strict__mono,axiom,
% 54.88/55.58 ! [V_n,V_b,V_a,T_a] :
% 54.88/55.58 ( class_Rings_Olinordered__semidom(T_a)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 54.88/55.58 => 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)) ) ) ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_power__decreasing,axiom,
% 54.88/55.58 ! [V_a,V_N,V_n,T_a] :
% 54.88/55.58 ( class_Rings_Olinordered__semidom(T_a)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_N)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 54.88/55.58 => 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)) ) ) ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_power__strict__decreasing,axiom,
% 54.88/55.58 ! [V_a,V_N,V_n,T_a] :
% 54.88/55.58 ( class_Rings_Olinordered__semidom(T_a)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 54.88/55.58 => 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)) ) ) ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_power__le__imp__le__exp,axiom,
% 54.88/55.58 ! [V_n,V_m,V_a,T_a] :
% 54.88/55.58 ( class_Rings_Olinordered__semidom(T_a)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 54.88/55.58 => ( 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))
% 54.88/55.58 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_power__increasing__iff,axiom,
% 54.88/55.58 ! [V_y_2,V_x_2,V_b_2,T_a] :
% 54.88/55.58 ( class_Rings_Olinordered__semidom(T_a)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2)
% 54.88/55.58 => ( 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))
% 54.88/55.58 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x_2,V_y_2) ) ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_power__less__power__Suc,axiom,
% 54.88/55.58 ! [V_n,V_a,T_a] :
% 54.88/55.58 ( class_Rings_Olinordered__semidom(T_a)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)
% 54.88/55.58 => 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))) ) ) ).
% 54.88/55.58
% 54.88/55.58 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,
% 54.88/55.58 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____)))))) ).
% 54.88/55.58
% 54.88/55.58 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,
% 54.88/55.58 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____)))) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_th30,axiom,
% 54.88/55.58 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))) ).
% 54.88/55.58
% 54.88/55.58 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,
% 54.88/55.58 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)) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_wm1,axiom,
% 54.88/55.58 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)) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_mult__left__le__one__le,axiom,
% 54.88/55.58 ! [V_y,V_x,T_a] :
% 54.88/55.58 ( class_Rings_Olinordered__idom(T_a)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,c_Groups_Oone__class_Oone(T_a))
% 54.88/55.58 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x),V_x) ) ) ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_mult__right__le__one__le,axiom,
% 54.88/55.58 ! [V_y,V_x,T_a] :
% 54.88/55.58 ( class_Rings_Olinordered__idom(T_a)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)
% 54.88/55.58 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,c_Groups_Oone__class_Oone(T_a))
% 54.88/55.58 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),V_x) ) ) ) ) ).
% 54.88/55.58
% 54.88/55.58 fof(fact_mult__left__le__imp__le,axiom,
% 54.88/55.58 ! [V_b,V_a,V_c,T_a] :
% 54.88/55.58 ( class_Rings_Olinordered__semiring__strict(T_a)
% 54.88/55.59 => ( 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))
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 54.88/55.59 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__right__le__imp__le,axiom,
% 54.88/55.59 ! [V_b,V_c,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__semiring__strict(T_a)
% 54.88/55.59 => ( 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))
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 54.88/55.59 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__less__imp__less__left,axiom,
% 54.88/55.59 ! [V_b,V_a,V_c,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__semiring__strict(T_a)
% 54.88/55.59 => ( 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))
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 54.88/55.59 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__left__less__imp__less,axiom,
% 54.88/55.59 ! [V_b,V_a,V_c,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__semiring(T_a)
% 54.88/55.59 => ( 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))
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 54.88/55.59 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_pc0,axiom,
% 54.88/55.59 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_c,axiom,
% 54.88/55.59 ! [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))) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_kn,axiom,
% 54.88/55.59 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)) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_t_I3_J,axiom,
% 54.88/55.59 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____))) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_le__Suc__ex__iff,axiom,
% 54.88/55.59 ! [V_l_2,V_ka_2] :
% 54.88/55.59 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_l_2)
% 54.88/55.59 <=> ? [B_n] : V_l_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,B_n) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_add__eq__0__iff,axiom,
% 54.88/55.59 ! [V_y_2,V_x_2,T_a] :
% 54.88/55.59 ( class_Groups_Ogroup__add(T_a)
% 54.88/55.59 => ( c_Groups_Oplus__class_Oplus(T_a,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.59 <=> V_y_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_x_2) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_of__real_Ominus,axiom,
% 54.88/55.59 ! [V_x,T_a] :
% 54.88/55.59 ( ( class_RealVector_Oreal__algebra__1(T_a)
% 54.88/55.59 & class_RealVector_Oreal__normed__vector(T_a) )
% 54.88/55.59 => 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)) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_of__real__minus,axiom,
% 54.88/55.59 ! [V_x,T_a] :
% 54.88/55.59 ( class_RealVector_Oreal__algebra__1(T_a)
% 54.88/55.59 => 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)) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_of__real_Oadd,axiom,
% 54.88/55.59 ! [V_y,V_x,T_a] :
% 54.88/55.59 ( ( class_RealVector_Oreal__algebra__1(T_a)
% 54.88/55.59 & class_RealVector_Oreal__normed__vector(T_a) )
% 54.88/55.59 => 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)) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_of__real__add,axiom,
% 54.88/55.59 ! [V_y,V_x,T_a] :
% 54.88/55.59 ( class_RealVector_Oreal__algebra__1(T_a)
% 54.88/55.59 => 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)) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_minus__mult__right,axiom,
% 54.88/55.59 ! [V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Oring(T_a)
% 54.88/55.59 => 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)) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_minus__mult__left,axiom,
% 54.88/55.59 ! [V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Oring(T_a)
% 54.88/55.59 => 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) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_minus__mult__commute,axiom,
% 54.88/55.59 ! [V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Oring(T_a)
% 54.88/55.59 => 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)) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_minus__mult__minus,axiom,
% 54.88/55.59 ! [V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Oring(T_a)
% 54.88/55.59 => 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) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_square__eq__iff,axiom,
% 54.88/55.59 ! [V_b_2,V_aa_2,T_a] :
% 54.88/55.59 ( class_Rings_Oidom(T_a)
% 54.88/55.59 => ( 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)
% 54.88/55.59 <=> ( V_aa_2 = V_b_2
% 54.88/55.59 | V_aa_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_comm__semiring__class_Odistrib,axiom,
% 54.88/55.59 ! [V_c,V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Ocomm__semiring(T_a)
% 54.88/55.59 => 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)) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_combine__common__factor,axiom,
% 54.88/55.59 ! [V_c,V_b,V_e,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Osemiring(T_a)
% 54.88/55.59 => 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) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_norm__triangle__ineq,axiom,
% 54.88/55.59 ! [V_y,V_x,T_a] :
% 54.88/55.59 ( class_RealVector_Oreal__normed__vector(T_a)
% 54.88/55.59 => 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))) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_norm__add__less,axiom,
% 54.88/55.59 ! [V_s,V_y,V_r,V_x,T_a] :
% 54.88/55.59 ( class_RealVector_Oreal__normed__vector(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),V_r)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_y),V_s)
% 54.88/55.59 => 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)) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult_Ominus__right,axiom,
% 54.88/55.59 ! [V_b,V_a,T_a] :
% 54.88/55.59 ( class_RealVector_Oreal__normed__algebra(T_a)
% 54.88/55.59 => 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)) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__right_Ominus,axiom,
% 54.88/55.59 ! [V_x,V_xa,T_a] :
% 54.88/55.59 ( class_RealVector_Oreal__normed__algebra(T_a)
% 54.88/55.59 => 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)) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult_Ominus__left,axiom,
% 54.88/55.59 ! [V_b,V_a,T_a] :
% 54.88/55.59 ( class_RealVector_Oreal__normed__algebra(T_a)
% 54.88/55.59 => 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)) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__left_Ominus,axiom,
% 54.88/55.59 ! [V_y,V_x,T_a] :
% 54.88/55.59 ( class_RealVector_Oreal__normed__algebra(T_a)
% 54.88/55.59 => 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)) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult_Oadd__right,axiom,
% 54.88/55.59 ! [V_b_H,V_b,V_a,T_a] :
% 54.88/55.59 ( class_RealVector_Oreal__normed__algebra(T_a)
% 54.88/55.59 => 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)) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__right_Oadd,axiom,
% 54.88/55.59 ! [V_y,V_x,V_xa,T_a] :
% 54.88/55.59 ( class_RealVector_Oreal__normed__algebra(T_a)
% 54.88/55.59 => 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)) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult_Oadd__left,axiom,
% 54.88/55.59 ! [V_b,V_a_H,V_a,T_a] :
% 54.88/55.59 ( class_RealVector_Oreal__normed__algebra(T_a)
% 54.88/55.59 => 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)) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__left_Oadd,axiom,
% 54.88/55.59 ! [V_ya,V_y,V_x,T_a] :
% 54.88/55.59 ( class_RealVector_Oreal__normed__algebra(T_a)
% 54.88/55.59 => 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)) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_norm__minus__cancel,axiom,
% 54.88/55.59 ! [V_x,T_a] :
% 54.88/55.59 ( class_RealVector_Oreal__normed__vector(T_a)
% 54.88/55.59 => 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) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_less__minus__self__iff,axiom,
% 54.88/55.59 ! [V_aa_2,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__idom(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2))
% 54.88/55.59 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_pos__add__strict,axiom,
% 54.88/55.59 ! [V_c,V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__semidom(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c)
% 54.88/55.59 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_square__eq__1__iff,axiom,
% 54.88/55.59 ! [V_x_2,T_a] :
% 54.88/55.59 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 54.88/55.59 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_a)
% 54.88/55.59 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_a)
% 54.88/55.59 | V_x_2 = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_less__add__one,axiom,
% 54.88/55.59 ! [V_a,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__semidom(T_a)
% 54.88/55.59 => 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))) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_zero__less__two,axiom,
% 54.88/55.59 ! [T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__semidom(T_a)
% 54.88/55.59 => 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))) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_power__add,axiom,
% 54.88/55.59 ! [V_n,V_m,V_a,T_a] :
% 54.88/55.59 ( class_Groups_Omonoid__mult(T_a)
% 54.88/55.59 => 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)) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_convex__bound__le,axiom,
% 54.88/55.59 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__semiring__1(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_u)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_v)
% 54.88/55.59 => ( c_Groups_Oplus__class_Oplus(T_a,V_u,V_v) = c_Groups_Oone__class_Oone(T_a)
% 54.88/55.59 => 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) ) ) ) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_power__minus,axiom,
% 54.88/55.59 ! [V_n,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Oring__1(T_a)
% 54.88/55.59 => 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)) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_linorder__neqE__linordered__idom,axiom,
% 54.88/55.59 ! [V_y,V_x,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__idom(T_a)
% 54.88/55.59 => ( V_x != V_y
% 54.88/55.59 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 54.88/55.59 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_convex__bound__lt,axiom,
% 54.88/55.59 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_u)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_v)
% 54.88/55.59 => ( c_Groups_Oplus__class_Oplus(T_a,V_u,V_v) = c_Groups_Oone__class_Oone(T_a)
% 54.88/55.59 => 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) ) ) ) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__zero__left,axiom,
% 54.88/55.59 ! [V_a,T_a] :
% 54.88/55.59 ( class_Rings_Omult__zero(T_a)
% 54.88/55.59 => 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) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__zero__right,axiom,
% 54.88/55.59 ! [V_a,T_a] :
% 54.88/55.59 ( class_Rings_Omult__zero(T_a)
% 54.88/55.59 => 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) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__eq__0__iff,axiom,
% 54.88/55.59 ! [V_b_2,V_aa_2,T_a] :
% 54.88/55.59 ( class_Rings_Oring__no__zero__divisors(T_a)
% 54.88/55.59 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.59 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.59 | V_b_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_no__zero__divisors,axiom,
% 54.88/55.59 ! [V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Ono__zero__divisors(T_a)
% 54.88/55.59 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.59 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.59 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_divisors__zero,axiom,
% 54.88/55.59 ! [V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Ono__zero__divisors(T_a)
% 54.88/55.59 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.59 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.59 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_one__neq__zero,axiom,
% 54.88/55.59 ! [T_a] :
% 54.88/55.59 ( class_Rings_Ozero__neq__one(T_a)
% 54.88/55.59 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_zero__neq__one,axiom,
% 54.88/55.59 ! [T_a] :
% 54.88/55.59 ( class_Rings_Ozero__neq__one(T_a)
% 54.88/55.59 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_zero__le__square,axiom,
% 54.88/55.59 ! [V_a,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__ring(T_a)
% 54.88/55.59 => 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)) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_zero__le__mult__iff,axiom,
% 54.88/55.59 ! [V_b_2,V_aa_2,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__ring__strict(T_a)
% 54.88/55.59 => ( 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))
% 54.88/55.59 <=> ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2)
% 54.88/55.59 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2) )
% 54.88/55.59 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.59 & c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__le__0__iff,axiom,
% 54.88/55.59 ! [V_b_2,V_aa_2,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__ring__strict(T_a)
% 54.88/55.59 => ( 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))
% 54.88/55.59 <=> ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2)
% 54.88/55.59 & c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)) )
% 54.88/55.59 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.59 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2) ) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__nonneg__nonneg,axiom,
% 54.88/55.59 ! [V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Oordered__cancel__semiring(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 54.88/55.59 => 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)) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__nonneg__nonpos,axiom,
% 54.88/55.59 ! [V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Oordered__cancel__semiring(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.59 => 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)) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__nonneg__nonpos2,axiom,
% 54.88/55.59 ! [V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Oordered__cancel__semiring(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.59 => 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)) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__nonpos__nonneg,axiom,
% 54.88/55.59 ! [V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Oordered__cancel__semiring(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 54.88/55.59 => 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)) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__nonpos__nonpos,axiom,
% 54.88/55.59 ! [V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Oordered__ring(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.59 => 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)) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__right__mono,axiom,
% 54.88/55.59 ! [V_c,V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Oordered__semiring(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 54.88/55.59 => 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)) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__left__mono,axiom,
% 54.88/55.59 ! [V_c,V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Oordered__semiring(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 54.88/55.59 => 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)) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_comm__mult__left__mono,axiom,
% 54.88/55.59 ! [V_c,V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Oordered__comm__semiring(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 54.88/55.59 => 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)) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__right__mono__neg,axiom,
% 54.88/55.59 ! [V_c,V_a,V_b,T_a] :
% 54.88/55.59 ( class_Rings_Oordered__ring(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.59 => 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)) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__left__mono__neg,axiom,
% 54.88/55.59 ! [V_c,V_a,V_b,T_a] :
% 54.88/55.59 ( class_Rings_Oordered__ring(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.59 => 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)) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__mono_H,axiom,
% 54.88/55.59 ! [V_d,V_c,V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Oordered__semiring(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 54.88/55.59 => 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)) ) ) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__mono,axiom,
% 54.88/55.59 ! [V_d,V_c,V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Oordered__semiring(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 54.88/55.59 => 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)) ) ) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_split__mult__pos__le,axiom,
% 54.88/55.59 ! [V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Oordered__ring(T_a)
% 54.88/55.59 => ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.59 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) )
% 54.88/55.59 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.59 & c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) ) )
% 54.88/55.59 => 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)) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_split__mult__neg__le,axiom,
% 54.88/55.59 ! [V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Oordered__cancel__semiring(T_a)
% 54.88/55.59 => ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.59 & c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) )
% 54.88/55.59 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.59 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) )
% 54.88/55.59 => 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)) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_not__square__less__zero,axiom,
% 54.88/55.59 ! [V_a,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__ring(T_a)
% 54.88/55.59 => ~ 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)) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__less__cancel__right__disj,axiom,
% 54.88/55.59 ! [V_b_2,V_ca_2,V_aa_2,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__ring__strict(T_a)
% 54.88/55.59 => ( 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))
% 54.88/55.59 <=> ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2)
% 54.88/55.59 & c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) )
% 54.88/55.59 | ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.59 & c_Orderings_Oord__class_Oless(T_a,V_b_2,V_aa_2) ) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__less__cancel__left__disj,axiom,
% 54.88/55.59 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__ring__strict(T_a)
% 54.88/55.59 => ( 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))
% 54.88/55.59 <=> ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2)
% 54.88/55.59 & c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) )
% 54.88/55.59 | ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.59 & c_Orderings_Oord__class_Oless(T_a,V_b_2,V_aa_2) ) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__less__cancel__left__pos,axiom,
% 54.88/55.59 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__ring__strict(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2)
% 54.88/55.59 => ( 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))
% 54.88/55.59 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__pos__pos,axiom,
% 54.88/55.59 ! [V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__semiring__strict(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 54.88/55.59 => 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)) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__pos__neg,axiom,
% 54.88/55.59 ! [V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__semiring__strict(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.59 => 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)) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__pos__neg2,axiom,
% 54.88/55.59 ! [V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__semiring__strict(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.59 => 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)) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_zero__less__mult__pos,axiom,
% 54.88/55.59 ! [V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__semiring__strict(T_a)
% 54.88/55.59 => ( 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))
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.59 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_zero__less__mult__pos2,axiom,
% 54.88/55.59 ! [V_a,V_b,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__semiring__strict(T_a)
% 54.88/55.59 => ( 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))
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.59 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__less__cancel__left__neg,axiom,
% 54.88/55.59 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__ring__strict(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.59 => ( 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))
% 54.88/55.59 <=> c_Orderings_Oord__class_Oless(T_a,V_b_2,V_aa_2) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__neg__pos,axiom,
% 54.88/55.59 ! [V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__semiring__strict(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 54.88/55.59 => 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)) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__neg__neg,axiom,
% 54.88/55.59 ! [V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__ring__strict(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.59 => 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)) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__strict__right__mono,axiom,
% 54.88/55.59 ! [V_c,V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__semiring__strict(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 54.88/55.59 => 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)) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__strict__left__mono,axiom,
% 54.88/55.59 ! [V_c,V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__semiring__strict(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 54.88/55.59 => 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)) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_comm__mult__strict__left__mono,axiom,
% 54.88/55.59 ! [V_c,V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 54.88/55.59 => 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)) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__strict__right__mono__neg,axiom,
% 54.88/55.59 ! [V_c,V_a,V_b,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__ring__strict(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.59 => 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)) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__strict__left__mono__neg,axiom,
% 54.88/55.59 ! [V_c,V_a,V_b,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__ring__strict(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.59 => 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)) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_not__one__le__zero,axiom,
% 54.88/55.59 ! [T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__semidom(T_a)
% 54.88/55.59 => ~ c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_zero__le__one,axiom,
% 54.88/55.59 ! [T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__semidom(T_a)
% 54.88/55.59 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_not__one__less__zero,axiom,
% 54.88/55.59 ! [T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__semidom(T_a)
% 54.88/55.59 => ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_zero__less__one,axiom,
% 54.88/55.59 ! [T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__semidom(T_a)
% 54.88/55.59 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_less__1__mult,axiom,
% 54.88/55.59 ! [V_n,V_m,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__semidom(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_m)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_n)
% 54.88/55.59 => 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)) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__le__cancel__left__pos,axiom,
% 54.88/55.59 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__ring__strict(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2)
% 54.88/55.59 => ( 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))
% 54.88/55.59 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__le__cancel__left__neg,axiom,
% 54.88/55.59 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__ring__strict(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.59 => ( 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))
% 54.88/55.59 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,V_aa_2) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__strict__mono,axiom,
% 54.88/55.59 ! [V_d,V_c,V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__semiring__strict(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 54.88/55.59 => 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)) ) ) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__strict__mono_H,axiom,
% 54.88/55.59 ! [V_d,V_c,V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__semiring__strict(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 54.88/55.59 => 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)) ) ) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__less__le__imp__less,axiom,
% 54.88/55.59 ! [V_d,V_c,V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__semiring__strict(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 54.88/55.59 => 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)) ) ) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__le__less__imp__less,axiom,
% 54.88/55.59 ! [V_d,V_c,V_b,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__semiring__strict(T_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 54.88/55.59 => 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)) ) ) ) ) ) ).
% 54.88/55.59
% 54.88/55.59 fof(fact_mult__right__less__imp__less,axiom,
% 54.88/55.59 ! [V_b,V_c,V_a,T_a] :
% 54.88/55.59 ( class_Rings_Olinordered__semiring(T_a)
% 54.88/55.59 => ( 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))
% 54.88/55.59 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 54.88/55.60 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_mult__less__imp__less__right,axiom,
% 54.88/55.60 ! [V_b,V_c,V_a,T_a] :
% 54.88/55.60 ( class_Rings_Olinordered__semiring__strict(T_a)
% 54.88/55.60 => ( 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))
% 54.88/55.60 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 54.88/55.60 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 54.88/55.60
% 54.88/55.60 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,
% 54.88/55.60 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____))))) ).
% 54.88/55.60
% 54.88/55.60 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,
% 54.88/55.60 ~ ! [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) ).
% 54.88/55.60
% 54.88/55.60 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,
% 54.88/55.60 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____)))) ).
% 54.88/55.60
% 54.88/55.60 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,
% 54.88/55.60 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____)))) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_k1n,axiom,
% 54.88/55.60 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____)) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_inv0,axiom,
% 54.88/55.60 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____))) ).
% 54.88/55.60
% 54.88/55.60 fof(fact__0961_A_L_Aw_A_094_Ak_A_K_Aa_A_N_A1_A_061_A0_A_N_A1_096,axiom,
% 54.88/55.60 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)) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_le0,axiom,
% 54.88/55.60 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_less__zeroE,axiom,
% 54.88/55.60 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nat__mult__le__cancel1,axiom,
% 54.88/55.60 ! [V_n_2,V_ma_2,V_ka_2] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2)
% 54.88/55.60 => ( 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))
% 54.88/55.60 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ).
% 54.88/55.60
% 54.88/55.60 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,
% 54.88/55.60 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____)))))) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_real__diff__def,axiom,
% 54.88/55.60 ! [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)) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_minus__real__def,axiom,
% 54.88/55.60 ! [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)) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_inverse__eq__imp__eq,axiom,
% 54.88/55.60 ! [V_b,V_a,T_a] :
% 54.88/55.60 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 54.88/55.60 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_a) = c_Rings_Oinverse__class_Oinverse(T_a,V_b)
% 54.88/55.60 => V_a = V_b ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_inverse__eq__iff__eq,axiom,
% 54.88/55.60 ! [V_b_2,V_aa_2,T_a] :
% 54.88/55.60 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 54.88/55.60 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2) = c_Rings_Oinverse__class_Oinverse(T_a,V_b_2)
% 54.88/55.60 <=> V_aa_2 = V_b_2 ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_inverse__inverse__eq,axiom,
% 54.88/55.60 ! [V_a,T_a] :
% 54.88/55.60 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 54.88/55.60 => c_Rings_Oinverse__class_Oinverse(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = V_a ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_norm__inverse,axiom,
% 54.88/55.60 ! [V_a,T_a] :
% 54.88/55.60 ( ( class_RealVector_Oreal__normed__div__algebra(T_a)
% 54.88/55.60 & class_Rings_Odivision__ring__inverse__zero(T_a) )
% 54.88/55.60 => 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)) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_of__real__inverse,axiom,
% 54.88/55.60 ! [V_x,T_a] :
% 54.88/55.60 ( ( class_RealVector_Oreal__div__algebra(T_a)
% 54.88/55.60 & class_Rings_Odivision__ring__inverse__zero(T_a) )
% 54.88/55.60 => 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)) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_real__add__minus__iff,axiom,
% 54.88/55.60 ! [V_aa_2,V_x_2] :
% 54.88/55.60 ( 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)
% 54.88/55.60 <=> V_x_2 = V_aa_2 ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_real__add__eq__0__iff,axiom,
% 54.88/55.60 ! [V_y_2,V_x_2] :
% 54.88/55.60 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 54.88/55.60 <=> V_y_2 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_of__real_Odiff,axiom,
% 54.88/55.60 ! [V_y,V_x,T_a] :
% 54.88/55.60 ( ( class_RealVector_Oreal__algebra__1(T_a)
% 54.88/55.60 & class_RealVector_Oreal__normed__vector(T_a) )
% 54.88/55.60 => 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)) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_of__real__diff,axiom,
% 54.88/55.60 ! [V_y,V_x,T_a] :
% 54.88/55.60 ( class_RealVector_Oreal__algebra__1(T_a)
% 54.88/55.60 => 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)) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_division__ring__inverse__diff,axiom,
% 54.88/55.60 ! [V_b,V_a,T_a] :
% 54.88/55.60 ( class_Rings_Odivision__ring(T_a)
% 54.88/55.60 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.60 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.60 => 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)) ) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nonzero__norm__inverse,axiom,
% 54.88/55.60 ! [V_a,T_a] :
% 54.88/55.60 ( class_RealVector_Oreal__normed__div__algebra(T_a)
% 54.88/55.60 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.60 => 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)) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nonzero__of__real__inverse,axiom,
% 54.88/55.60 ! [V_x,T_a] :
% 54.88/55.60 ( class_RealVector_Oreal__div__algebra(T_a)
% 54.88/55.60 => ( V_x != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 54.88/55.60 => 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)) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_norm__triangle__ineq2,axiom,
% 54.88/55.60 ! [V_b,V_a,T_a] :
% 54.88/55.60 ( class_RealVector_Oreal__normed__vector(T_a)
% 54.88/55.60 => 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))) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_real__add__le__0__iff,axiom,
% 54.88/55.60 ! [V_y_2,V_x_2] :
% 54.88/55.60 ( 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))
% 54.88/55.60 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_y_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2)) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_real__0__le__add__iff,axiom,
% 54.88/55.60 ! [V_y_2,V_x_2] :
% 54.88/55.60 ( 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))
% 54.88/55.60 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2),V_y_2) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_norm__triangle__ineq4,axiom,
% 54.88/55.60 ! [V_b,V_a,T_a] :
% 54.88/55.60 ( class_RealVector_Oreal__normed__vector(T_a)
% 54.88/55.60 => 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))) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_real__add__less__0__iff,axiom,
% 54.88/55.60 ! [V_y_2,V_x_2] :
% 54.88/55.60 ( 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))
% 54.88/55.60 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_y_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2)) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_real__0__less__add__iff,axiom,
% 54.88/55.60 ! [V_y_2,V_x_2] :
% 54.88/55.60 ( 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))
% 54.88/55.60 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2),V_y_2) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nonzero__inverse__eq__imp__eq,axiom,
% 54.88/55.60 ! [V_b,V_a,T_a] :
% 54.88/55.60 ( class_Rings_Odivision__ring(T_a)
% 54.88/55.60 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_a) = c_Rings_Oinverse__class_Oinverse(T_a,V_b)
% 54.88/55.60 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.60 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.60 => V_a = V_b ) ) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_inverse__zero__imp__zero,axiom,
% 54.88/55.60 ! [V_a,T_a] :
% 54.88/55.60 ( class_Rings_Odivision__ring(T_a)
% 54.88/55.60 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_a) = c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.60 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nonzero__inverse__inverse__eq,axiom,
% 54.88/55.60 ! [V_a,T_a] :
% 54.88/55.60 ( class_Rings_Odivision__ring(T_a)
% 54.88/55.60 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.60 => c_Rings_Oinverse__class_Oinverse(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = V_a ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nonzero__imp__inverse__nonzero,axiom,
% 54.88/55.60 ! [V_a,T_a] :
% 54.88/55.60 ( class_Rings_Odivision__ring(T_a)
% 54.88/55.60 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.60 => c_Rings_Oinverse__class_Oinverse(T_a,V_a) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_inverse__nonzero__iff__nonzero,axiom,
% 54.88/55.60 ! [V_aa_2,T_a] :
% 54.88/55.60 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 54.88/55.60 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2) = c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.60 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_inverse__zero,axiom,
% 54.88/55.60 ! [T_a] :
% 54.88/55.60 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 54.88/55.60 => c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_inverse__1,axiom,
% 54.88/55.60 ! [T_a] :
% 54.88/55.60 ( class_Rings_Odivision__ring(T_a)
% 54.88/55.60 => c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_inverse__minus__eq,axiom,
% 54.88/55.60 ! [V_a,T_a] :
% 54.88/55.60 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 54.88/55.60 => 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)) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_power__inverse,axiom,
% 54.88/55.60 ! [V_n,V_a,T_a] :
% 54.88/55.60 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 54.88/55.60 => 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) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_mult__left_Odiff,axiom,
% 54.88/55.60 ! [V_ya,V_y,V_x,T_a] :
% 54.88/55.60 ( class_RealVector_Oreal__normed__algebra(T_a)
% 54.88/55.60 => 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)) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_mult_Odiff__left,axiom,
% 54.88/55.60 ! [V_b,V_a_H,V_a,T_a] :
% 54.88/55.60 ( class_RealVector_Oreal__normed__algebra(T_a)
% 54.88/55.60 => 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)) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_mult__right_Odiff,axiom,
% 54.88/55.60 ! [V_y,V_x,V_xa,T_a] :
% 54.88/55.60 ( class_RealVector_Oreal__normed__algebra(T_a)
% 54.88/55.60 => 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)) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_mult_Odiff__right,axiom,
% 54.88/55.60 ! [V_b_H,V_b,V_a,T_a] :
% 54.88/55.60 ( class_RealVector_Oreal__normed__algebra(T_a)
% 54.88/55.60 => 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)) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_INVERSE__ZERO,axiom,
% 54.88/55.60 c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_norm__minus__commute,axiom,
% 54.88/55.60 ! [V_b,V_a,T_a] :
% 54.88/55.60 ( class_RealVector_Oreal__normed__vector(T_a)
% 54.88/55.60 => 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)) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_real__add__left__mono,axiom,
% 54.88/55.60 ! [V_z,V_y,V_x] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,V_y)
% 54.88/55.60 => 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)) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_real__add__mult__distrib,axiom,
% 54.88/55.60 ! [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)) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nonzero__inverse__mult__distrib,axiom,
% 54.88/55.60 ! [V_b,V_a,T_a] :
% 54.88/55.60 ( class_Rings_Odivision__ring(T_a)
% 54.88/55.60 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.60 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.60 => 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)) ) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_inverse__unique,axiom,
% 54.88/55.60 ! [V_b,V_a,T_a] :
% 54.88/55.60 ( class_Rings_Odivision__ring(T_a)
% 54.88/55.60 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Oone__class_Oone(T_a)
% 54.88/55.60 => c_Rings_Oinverse__class_Oinverse(T_a,V_a) = V_b ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nonzero__inverse__minus__eq,axiom,
% 54.88/55.60 ! [V_a,T_a] :
% 54.88/55.60 ( class_Rings_Odivision__ring(T_a)
% 54.88/55.60 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.60 => 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)) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nonzero__power__inverse,axiom,
% 54.88/55.60 ! [V_n,V_a,T_a] :
% 54.88/55.60 ( class_Rings_Odivision__ring(T_a)
% 54.88/55.60 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.60 => 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) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_mult__diff__mult,axiom,
% 54.88/55.60 ! [V_b,V_a,V_y,V_x,T_a] :
% 54.88/55.60 ( class_Rings_Oring(T_a)
% 54.88/55.60 => 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)) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_mult_Oprod__diff__prod,axiom,
% 54.88/55.60 ! [V_b,V_a,V_y,V_x,T_a] :
% 54.88/55.60 ( class_RealVector_Oreal__normed__algebra(T_a)
% 54.88/55.60 => 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))) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_eq__add__iff1,axiom,
% 54.88/55.60 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] :
% 54.88/55.60 ( class_Rings_Oring(T_a)
% 54.88/55.60 => ( 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)
% 54.88/55.60 <=> 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 ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_eq__add__iff2,axiom,
% 54.88/55.60 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] :
% 54.88/55.60 ( class_Rings_Oring(T_a)
% 54.88/55.60 => ( 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)
% 54.88/55.60 <=> 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) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_real__le__eq__diff,axiom,
% 54.88/55.60 ! [V_y_2,V_x_2] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2)
% 54.88/55.60 <=> 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)) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_real__minus__mult__self__le,axiom,
% 54.88/55.60 ! [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)) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_real__two__squares__add__zero__iff,axiom,
% 54.88/55.60 ! [V_y_2,V_x_2] :
% 54.88/55.60 ( 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)
% 54.88/55.60 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 54.88/55.60 & V_y_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_psize__eq__0__iff,axiom,
% 54.88/55.60 ! [V_pb_2,T_a] :
% 54.88/55.60 ( class_Groups_Ozero(T_a)
% 54.88/55.60 => ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(T_a,V_pb_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 54.88/55.60 <=> V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_division__ring__inverse__add,axiom,
% 54.88/55.60 ! [V_b,V_a,T_a] :
% 54.88/55.60 ( class_Rings_Odivision__ring(T_a)
% 54.88/55.60 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.60 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.60 => 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)) ) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_left__inverse,axiom,
% 54.88/55.60 ! [V_a,T_a] :
% 54.88/55.60 ( class_Rings_Odivision__ring(T_a)
% 54.88/55.60 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.60 => 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) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_right__inverse,axiom,
% 54.88/55.60 ! [V_a,T_a] :
% 54.88/55.60 ( class_Rings_Odivision__ring(T_a)
% 54.88/55.60 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.60 => 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) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_le__add__iff1,axiom,
% 54.88/55.60 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] :
% 54.88/55.60 ( class_Rings_Oordered__ring(T_a)
% 54.88/55.60 => ( 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))
% 54.88/55.60 <=> 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) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_le__add__iff2,axiom,
% 54.88/55.60 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] :
% 54.88/55.60 ( class_Rings_Oordered__ring(T_a)
% 54.88/55.60 => ( 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))
% 54.88/55.60 <=> 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)) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_less__add__iff1,axiom,
% 54.88/55.60 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] :
% 54.88/55.60 ( class_Rings_Oordered__ring(T_a)
% 54.88/55.60 => ( 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))
% 54.88/55.60 <=> 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) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_less__add__iff2,axiom,
% 54.88/55.60 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] :
% 54.88/55.60 ( class_Rings_Oordered__ring(T_a)
% 54.88/55.60 => ( 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))
% 54.88/55.60 <=> 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)) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_real__squared__diff__one__factored,axiom,
% 54.88/55.60 ! [V_x,T_a] :
% 54.88/55.60 ( class_Rings_Oring__1(T_a)
% 54.88/55.60 => 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))) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_norm__diff__triangle__ineq,axiom,
% 54.88/55.60 ! [V_d,V_c,V_b,V_a,T_a] :
% 54.88/55.60 ( class_RealVector_Oreal__normed__vector(T_a)
% 54.88/55.60 => 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)))) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_real__mult__inverse__left,axiom,
% 54.88/55.60 ! [V_x] :
% 54.88/55.60 ( V_x != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 54.88/55.60 => 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) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_norm__diff__ineq,axiom,
% 54.88/55.60 ! [V_b,V_a,T_a] :
% 54.88/55.60 ( class_RealVector_Oreal__normed__vector(T_a)
% 54.88/55.60 => 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))) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_complex__mod__triangle__sub,axiom,
% 54.88/55.60 ! [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))) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nat__less__cases,axiom,
% 54.88/55.60 ! [V_P_2,V_n_2,V_ma_2] :
% 54.88/55.60 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2)
% 54.88/55.60 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_ma_2)) )
% 54.88/55.60 => ( ( V_ma_2 = V_n_2
% 54.88/55.60 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_ma_2)) )
% 54.88/55.60 => ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2)
% 54.88/55.60 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_ma_2)) )
% 54.88/55.60 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_ma_2)) ) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_less__not__refl3,axiom,
% 54.88/55.60 ! [V_t,V_s] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_s,V_t)
% 54.88/55.60 => V_s != V_t ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_less__not__refl2,axiom,
% 54.88/55.60 ! [V_m,V_n] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_m)
% 54.88/55.60 => V_m != V_n ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_less__irrefl__nat,axiom,
% 54.88/55.60 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_linorder__neqE__nat,axiom,
% 54.88/55.60 ! [V_y,V_x] :
% 54.88/55.60 ( V_x != V_y
% 54.88/55.60 => ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)
% 54.88/55.60 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_y,V_x) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nat__neq__iff,axiom,
% 54.88/55.60 ! [V_n_2,V_ma_2] :
% 54.88/55.60 ( V_ma_2 != V_n_2
% 54.88/55.60 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2)
% 54.88/55.60 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_less__not__refl,axiom,
% 54.88/55.60 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nat__add__commute,axiom,
% 54.88/55.60 ! [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) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nat__add__left__commute,axiom,
% 54.88/55.60 ! [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)) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nat__add__assoc,axiom,
% 54.88/55.60 ! [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)) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nat__add__left__cancel,axiom,
% 54.88/55.60 ! [V_n_2,V_ma_2,V_ka_2] :
% 54.88/55.60 ( 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)
% 54.88/55.60 <=> V_ma_2 = V_n_2 ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nat__add__right__cancel,axiom,
% 54.88/55.60 ! [V_n_2,V_ka_2,V_ma_2] :
% 54.88/55.60 ( 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)
% 54.88/55.60 <=> V_ma_2 = V_n_2 ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_le__refl,axiom,
% 54.88/55.60 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_n) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nat__le__linear,axiom,
% 54.88/55.60 ! [V_n,V_m] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 54.88/55.60 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_eq__imp__le,axiom,
% 54.88/55.60 ! [V_n,V_m] :
% 54.88/55.60 ( V_m = V_n
% 54.88/55.60 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_le__trans,axiom,
% 54.88/55.60 ! [V_k,V_j,V_i] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 54.88/55.60 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j,V_k)
% 54.88/55.60 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_k) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_le__antisym,axiom,
% 54.88/55.60 ! [V_n,V_m] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 54.88/55.60 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 54.88/55.60 => V_m = V_n ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nat__mult__assoc,axiom,
% 54.88/55.60 ! [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)) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nat__mult__commute,axiom,
% 54.88/55.60 ! [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) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_not__less0,axiom,
% 54.88/55.60 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_neq0__conv,axiom,
% 54.88/55.60 ! [V_n_2] :
% 54.88/55.60 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 54.88/55.60 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_less__nat__zero__code,axiom,
% 54.88/55.60 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_gr__implies__not0,axiom,
% 54.88/55.60 ! [V_n,V_m] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 54.88/55.60 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_gr0I,axiom,
% 54.88/55.60 ! [V_n] :
% 54.88/55.60 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 54.88/55.60 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_plus__nat_Oadd__0,axiom,
% 54.88/55.60 ! [V_n] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) = V_n ).
% 54.88/55.60
% 54.88/55.60 fof(fact_Nat_Oadd__0__right,axiom,
% 54.88/55.60 ! [V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 54.88/55.60
% 54.88/55.60 fof(fact_add__is__0,axiom,
% 54.88/55.60 ! [V_n_2,V_ma_2] :
% 54.88/55.60 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 54.88/55.60 <=> ( V_ma_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 54.88/55.60 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_add__eq__self__zero,axiom,
% 54.88/55.60 ! [V_n,V_m] :
% 54.88/55.60 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n) = V_m
% 54.88/55.60 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 54.88/55.60 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_le__0__eq,axiom,
% 54.88/55.60 ! [V_n_2] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 54.88/55.60 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_mult__0,axiom,
% 54.88/55.60 ! [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) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_mult__0__right,axiom,
% 54.88/55.60 ! [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) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_mult__is__0,axiom,
% 54.88/55.60 ! [V_n_2,V_ma_2] :
% 54.88/55.60 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 54.88/55.60 <=> ( V_ma_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 54.88/55.60 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 54.88/55.60 ! [V_n_2,V_ma_2,V_ka_2] :
% 54.88/55.60 ( 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)
% 54.88/55.60 <=> ( V_ka_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 54.88/55.60 | V_ma_2 = V_n_2 ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_mult__cancel1,axiom,
% 54.88/55.60 ! [V_n_2,V_ma_2,V_ka_2] :
% 54.88/55.60 ( 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)
% 54.88/55.60 <=> ( V_ma_2 = V_n_2
% 54.88/55.60 | V_ka_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_mult__cancel2,axiom,
% 54.88/55.60 ! [V_n_2,V_ka_2,V_ma_2] :
% 54.88/55.60 ( 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)
% 54.88/55.60 <=> ( V_ma_2 = V_n_2
% 54.88/55.60 | V_ka_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_add__lessD1,axiom,
% 54.88/55.60 ! [V_k,V_j,V_i] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_k)
% 54.88/55.60 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_k) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_less__add__eq__less,axiom,
% 54.88/55.60 ! [V_n,V_m,V_l,V_k] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l)
% 54.88/55.60 => ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_l) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_n)
% 54.88/55.60 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_add__less__mono,axiom,
% 54.88/55.60 ! [V_l,V_k,V_j,V_i] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 54.88/55.60 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l)
% 54.88/55.60 => 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)) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_add__less__mono1,axiom,
% 54.88/55.60 ! [V_k,V_j,V_i] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 54.88/55.60 => 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)) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_trans__less__add2,axiom,
% 54.88/55.60 ! [V_m,V_j,V_i] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 54.88/55.60 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_j)) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_trans__less__add1,axiom,
% 54.88/55.60 ! [V_m,V_j,V_i] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 54.88/55.60 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_m)) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nat__add__left__cancel__less,axiom,
% 54.88/55.60 ! [V_n_2,V_ma_2,V_ka_2] :
% 54.88/55.60 ( 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))
% 54.88/55.60 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_not__add__less2,axiom,
% 54.88/55.60 ! [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) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_not__add__less1,axiom,
% 54.88/55.60 ! [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) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_less__or__eq__imp__le,axiom,
% 54.88/55.60 ! [V_n,V_m] :
% 54.88/55.60 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 54.88/55.60 | V_m = V_n )
% 54.88/55.60 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_le__neq__implies__less,axiom,
% 54.88/55.60 ! [V_n,V_m] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 54.88/55.60 => ( V_m != V_n
% 54.88/55.60 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_less__imp__le__nat,axiom,
% 54.88/55.60 ! [V_n,V_m] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 54.88/55.60 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_le__eq__less__or__eq,axiom,
% 54.88/55.60 ! [V_n_2,V_ma_2] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2)
% 54.88/55.60 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2)
% 54.88/55.60 | V_ma_2 = V_n_2 ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nat__less__le,axiom,
% 54.88/55.60 ! [V_n_2,V_ma_2] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2)
% 54.88/55.60 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2)
% 54.88/55.60 & V_ma_2 != V_n_2 ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_le__add2,axiom,
% 54.88/55.60 ! [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)) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_le__add1,axiom,
% 54.88/55.60 ! [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)) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_le__iff__add,axiom,
% 54.88/55.60 ! [V_n_2,V_ma_2] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2)
% 54.88/55.60 <=> ? [B_k] : V_n_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,B_k) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nat__add__left__cancel__le,axiom,
% 54.88/55.60 ! [V_n_2,V_ma_2,V_ka_2] :
% 54.88/55.60 ( 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))
% 54.88/55.60 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_trans__le__add1,axiom,
% 54.88/55.60 ! [V_m,V_j,V_i] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 54.88/55.60 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_m)) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_trans__le__add2,axiom,
% 54.88/55.60 ! [V_m,V_j,V_i] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 54.88/55.60 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_j)) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_add__le__mono1,axiom,
% 54.88/55.60 ! [V_k,V_j,V_i] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 54.88/55.60 => 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)) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_add__le__mono,axiom,
% 54.88/55.60 ! [V_l,V_k,V_j,V_i] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 54.88/55.60 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_l)
% 54.88/55.60 => 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)) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_add__leD2,axiom,
% 54.88/55.60 ! [V_n,V_k,V_m] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n)
% 54.88/55.60 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_add__leD1,axiom,
% 54.88/55.60 ! [V_n,V_k,V_m] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n)
% 54.88/55.60 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_add__leE,axiom,
% 54.88/55.60 ! [V_n,V_k,V_m] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n)
% 54.88/55.60 => ~ ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 54.88/55.60 => ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_left__add__mult__distrib,axiom,
% 54.88/55.60 ! [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) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_add__mult__distrib,axiom,
% 54.88/55.60 ! [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)) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_add__mult__distrib2,axiom,
% 54.88/55.60 ! [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)) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_mult__le__mono,axiom,
% 54.88/55.60 ! [V_l,V_k,V_j,V_i] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 54.88/55.60 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_l)
% 54.88/55.60 => 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)) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_mult__le__mono2,axiom,
% 54.88/55.60 ! [V_k,V_j,V_i] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 54.88/55.60 => 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)) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_mult__le__mono1,axiom,
% 54.88/55.60 ! [V_k,V_j,V_i] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 54.88/55.60 => 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)) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_le__cube,axiom,
% 54.88/55.60 ! [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))) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_le__square,axiom,
% 54.88/55.60 ! [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)) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nat__mult__eq__1__iff,axiom,
% 54.88/55.60 ! [V_n_2,V_ma_2] :
% 54.88/55.60 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 54.88/55.60 <=> ( V_ma_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 54.88/55.60 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nat__mult__1__right,axiom,
% 54.88/55.60 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nat__1__eq__mult__iff,axiom,
% 54.88/55.60 ! [V_n_2,V_ma_2] :
% 54.88/55.60 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2)
% 54.88/55.60 <=> ( V_ma_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 54.88/55.60 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nat__mult__1,axiom,
% 54.88/55.60 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 54.88/55.60
% 54.88/55.60 fof(fact_add__gr__0,axiom,
% 54.88/55.60 ! [V_n_2,V_ma_2] :
% 54.88/55.60 ( 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))
% 54.88/55.60 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ma_2)
% 54.88/55.60 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nat__0__less__mult__iff,axiom,
% 54.88/55.60 ! [V_n_2,V_ma_2] :
% 54.88/55.60 ( 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))
% 54.88/55.60 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ma_2)
% 54.88/55.60 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_mult__less__cancel1,axiom,
% 54.88/55.60 ! [V_n_2,V_ma_2,V_ka_2] :
% 54.88/55.60 ( 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))
% 54.88/55.60 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2)
% 54.88/55.60 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_mult__less__cancel2,axiom,
% 54.88/55.60 ! [V_n_2,V_ka_2,V_ma_2] :
% 54.88/55.60 ( 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))
% 54.88/55.60 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2)
% 54.88/55.60 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nat__mult__eq__cancel1,axiom,
% 54.88/55.60 ! [V_n_2,V_ma_2,V_ka_2] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2)
% 54.88/55.60 => ( 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)
% 54.88/55.60 <=> V_ma_2 = V_n_2 ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_nat__mult__less__cancel1,axiom,
% 54.88/55.60 ! [V_n_2,V_ma_2,V_ka_2] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2)
% 54.88/55.60 => ( 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))
% 54.88/55.60 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_mult__less__mono1,axiom,
% 54.88/55.60 ! [V_k,V_j,V_i] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 54.88/55.60 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)
% 54.88/55.60 => 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)) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_mult__less__mono2,axiom,
% 54.88/55.60 ! [V_k,V_j,V_i] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)
% 54.88/55.60 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)
% 54.88/55.60 => 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)) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_mult__eq__self__implies__10,axiom,
% 54.88/55.60 ! [V_n,V_m] :
% 54.88/55.60 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 54.88/55.60 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 54.88/55.60 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_mult__le__cancel1,axiom,
% 54.88/55.60 ! [V_n_2,V_ma_2,V_ka_2] :
% 54.88/55.60 ( 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))
% 54.88/55.60 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2)
% 54.88/55.60 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_mult__le__cancel2,axiom,
% 54.88/55.60 ! [V_n_2,V_ka_2,V_ma_2] :
% 54.88/55.60 ( 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))
% 54.88/55.60 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2)
% 54.88/55.60 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ).
% 54.88/55.60
% 54.88/55.60 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,
% 54.88/55.60 ~ ! [B_t] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_t)
% 54.88/55.60 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_t,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 54.88/55.60 => ~ 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____))) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_th11,axiom,
% 54.88/55.60 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____)))))) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_q_I2_J,axiom,
% 54.88/55.60 ! [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)) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_less_Ohyps,axiom,
% 54.88/55.60 ! [V_pb_2] :
% 54.88/55.60 ( 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____))
% 54.88/55.60 => ( ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,V_pb_2))
% 54.88/55.60 => ? [B_z] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,V_pb_2),B_z) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ) ).
% 54.88/55.60
% 54.88/55.60 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,
% 54.88/55.60 ? [B_q] :
% 54.88/55.60 ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,B_q) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____)
% 54.88/55.60 & ! [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)) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact__096poly_Ap_Ac_A_061_A0_A_061_061_062_AEX_Az_O_Apoly_Ap_Az_A_061_A0_096,axiom,
% 54.88/55.60 ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 54.88/55.60 => ? [B_z] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),B_z) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_q_I1_J,axiom,
% 54.88/55.60 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_q____) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_Bseq__inverse__lemma,axiom,
% 54.88/55.60 ! [V_x,V_r,T_a] :
% 54.88/55.60 ( class_RealVector_Oreal__normed__div__algebra(T_a)
% 54.88/55.60 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_r,c_RealVector_Onorm__class_Onorm(T_a,V_x))
% 54.88/55.60 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_r)
% 54.88/55.60 => 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)) ) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_a00,axiom,
% 54.88/55.60 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) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_qnc,axiom,
% 54.88/55.60 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____)) ).
% 54.88/55.60
% 54.88/55.60 fof(fact__096constant_A_Ipoly_Aq_J_A_061_061_062_AFalse_096,axiom,
% 54.88/55.60 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____)) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_ath,axiom,
% 54.88/55.60 ! [V_t,V_x] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 54.88/55.60 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_t)
% 54.88/55.60 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_t,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
% 54.88/55.60 => 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)) ) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_cq0,axiom,
% 54.88/55.60 ! [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))) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_pqc0,axiom,
% 54.88/55.60 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)) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_kas_I3_J,axiom,
% 54.88/55.60 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____)) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_real__norm__def,axiom,
% 54.88/55.60 ! [V_r] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,V_r) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_abs__mult,axiom,
% 54.88/55.60 ! [V_b,V_a,T_a] :
% 54.88/55.60 ( class_Rings_Olinordered__idom(T_a)
% 54.88/55.60 => 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)) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_abs__mult__self,axiom,
% 54.88/55.60 ! [V_a,T_a] :
% 54.88/55.60 ( class_Rings_Olinordered__idom(T_a)
% 54.88/55.60 => 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) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_abs__one,axiom,
% 54.88/55.60 ! [T_a] :
% 54.88/55.60 ( class_Rings_Olinordered__idom(T_a)
% 54.88/55.60 => c_Groups_Oabs__class_Oabs(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_power__abs,axiom,
% 54.88/55.60 ! [V_n,V_a,T_a] :
% 54.88/55.60 ( class_Rings_Olinordered__idom(T_a)
% 54.88/55.60 => 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) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_abs__norm__cancel,axiom,
% 54.88/55.60 ! [V_a,T_a] :
% 54.88/55.60 ( class_RealVector_Oreal__normed__vector(T_a)
% 54.88/55.60 => 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) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_diffs0__imp__equal,axiom,
% 54.88/55.60 ! [V_n,V_m] :
% 54.88/55.60 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 54.88/55.60 => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 54.88/55.60 => V_m = V_n ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_diff__self__eq__0,axiom,
% 54.88/55.60 ! [V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_minus__nat_Odiff__0,axiom,
% 54.88/55.60 ! [V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 54.88/55.60
% 54.88/55.60 fof(fact_diff__0__eq__0,axiom,
% 54.88/55.60 ! [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) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_less__imp__diff__less,axiom,
% 54.88/55.60 ! [V_n,V_k,V_j] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k)
% 54.88/55.60 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_n),V_k) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_diff__less__mono2,axiom,
% 54.88/55.60 ! [V_l,V_n,V_m] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 54.88/55.60 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_l)
% 54.88/55.60 => 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)) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_diff__cancel2,axiom,
% 54.88/55.60 ! [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) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_diff__cancel,axiom,
% 54.88/55.60 ! [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) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_diff__diff__left,axiom,
% 54.88/55.60 ! [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)) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_diff__add__inverse,axiom,
% 54.88/55.60 ! [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 ).
% 54.88/55.60
% 54.88/55.60 fof(fact_diff__add__inverse2,axiom,
% 54.88/55.60 ! [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 ).
% 54.88/55.60
% 54.88/55.60 fof(fact_le__diff__iff,axiom,
% 54.88/55.60 ! [V_n_2,V_ma_2,V_ka_2] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_ma_2)
% 54.88/55.60 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_n_2)
% 54.88/55.60 => ( 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))
% 54.88/55.60 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_Nat_Odiff__diff__eq,axiom,
% 54.88/55.60 ! [V_n,V_m,V_k] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_m)
% 54.88/55.60 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n)
% 54.88/55.60 => 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) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_eq__diff__iff,axiom,
% 54.88/55.60 ! [V_n_2,V_ma_2,V_ka_2] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_ma_2)
% 54.88/55.60 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_n_2)
% 54.88/55.60 => ( 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)
% 54.88/55.60 <=> V_ma_2 = V_n_2 ) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_diff__diff__cancel,axiom,
% 54.88/55.60 ! [V_n,V_i] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_n)
% 54.88/55.60 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_i)) = V_i ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_diff__le__mono,axiom,
% 54.88/55.60 ! [V_l,V_n,V_m] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 54.88/55.60 => 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)) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_diff__le__mono2,axiom,
% 54.88/55.60 ! [V_l,V_n,V_m] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 54.88/55.60 => 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)) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_diff__le__self,axiom,
% 54.88/55.60 ! [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) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_diff__mult__distrib2,axiom,
% 54.88/55.60 ! [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)) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_diff__mult__distrib,axiom,
% 54.88/55.60 ! [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)) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_abs__mult__less,axiom,
% 54.88/55.60 ! [V_d,V_b,V_c,V_a,T_a] :
% 54.88/55.60 ( class_Rings_Olinordered__idom(T_a)
% 54.88/55.60 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),V_c)
% 54.88/55.60 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,V_b),V_d)
% 54.88/55.60 => 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)) ) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_abs__less__iff,axiom,
% 54.88/55.60 ! [V_b_2,V_aa_2,T_a] :
% 54.88/55.60 ( class_Rings_Olinordered__idom(T_a)
% 54.88/55.60 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,V_aa_2),V_b_2)
% 54.88/55.60 <=> ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2)
% 54.88/55.60 & c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_b_2) ) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_abs__power__minus,axiom,
% 54.88/55.60 ! [V_n,V_a,T_a] :
% 54.88/55.60 ( class_Rings_Olinordered__idom(T_a)
% 54.88/55.60 => 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)) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_abs__le__interval__iff,axiom,
% 54.88/55.60 ! [V_r_2,V_x_2] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_x_2),V_r_2)
% 54.88/55.60 <=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_r_2),V_x_2)
% 54.88/55.60 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_r_2) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_norm__of__real,axiom,
% 54.88/55.60 ! [V_r,T_a] :
% 54.88/55.60 ( class_RealVector_Oreal__normed__algebra__1(T_a)
% 54.88/55.60 => 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) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_diff__less,axiom,
% 54.88/55.60 ! [V_m,V_n] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 54.88/55.60 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)
% 54.88/55.60 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_m) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_zero__less__diff,axiom,
% 54.88/55.60 ! [V_ma_2,V_n_2] :
% 54.88/55.60 ( 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))
% 54.88/55.60 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_diff__add__0,axiom,
% 54.88/55.60 ! [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) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_diff__is__0__eq,axiom,
% 54.88/55.60 ! [V_n_2,V_ma_2] :
% 54.88/55.60 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 54.88/55.60 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_diff__is__0__eq_H,axiom,
% 54.88/55.60 ! [V_n,V_m] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n)
% 54.88/55.60 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_less__diff__conv,axiom,
% 54.88/55.60 ! [V_ka_2,V_j_2,V_i_2] :
% 54.88/55.60 ( 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))
% 54.88/55.60 <=> 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) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_add__diff__inverse,axiom,
% 54.88/55.60 ! [V_n,V_m] :
% 54.88/55.60 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)
% 54.88/55.60 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = V_m ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_abs__minus__add__cancel,axiom,
% 54.88/55.60 ! [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))) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_diff__less__mono,axiom,
% 54.88/55.60 ! [V_c,V_b,V_a] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a,V_b)
% 54.88/55.60 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_c,V_a)
% 54.88/55.60 => 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)) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_less__diff__iff,axiom,
% 54.88/55.60 ! [V_n_2,V_ma_2,V_ka_2] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_ma_2)
% 54.88/55.60 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_n_2)
% 54.88/55.60 => ( 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))
% 54.88/55.60 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_diff__add__assoc2,axiom,
% 54.88/55.60 ! [V_i,V_j,V_k] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 54.88/55.60 => 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) ) ).
% 54.88/55.60
% 54.88/55.60 fof(fact_add__diff__assoc2,axiom,
% 54.88/55.60 ! [V_i,V_j,V_k] :
% 54.88/55.60 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 54.88/55.61 => 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) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_diff__add__assoc,axiom,
% 54.88/55.61 ! [V_i,V_j,V_k] :
% 54.88/55.61 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_le__imp__diff__is__add,axiom,
% 54.88/55.61 ! [V_ka_2,V_j_2,V_i_2] :
% 54.88/55.61 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2)
% 54.88/55.61 => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2) = V_ka_2
% 54.88/55.61 <=> V_j_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_i_2) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_le__add__diff__inverse2,axiom,
% 54.88/55.61 ! [V_m,V_n] :
% 54.88/55.61 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 54.88/55.61 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_n) = V_m ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_le__diff__conv2,axiom,
% 54.88/55.61 ! [V_i_2,V_j_2,V_ka_2] :
% 54.88/55.61 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_j_2)
% 54.88/55.61 => ( 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))
% 54.88/55.61 <=> 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) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__diff__assoc,axiom,
% 54.88/55.61 ! [V_i,V_j,V_k] :
% 54.88/55.61 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 54.88/55.61 => 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) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_le__add__diff__inverse,axiom,
% 54.88/55.61 ! [V_m,V_n] :
% 54.88/55.61 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 54.88/55.61 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = V_m ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_le__add__diff,axiom,
% 54.88/55.61 ! [V_m,V_n,V_k] :
% 54.88/55.61 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_le__diff__conv,axiom,
% 54.88/55.61 ! [V_i_2,V_ka_2,V_j_2] :
% 54.88/55.61 ( 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)
% 54.88/55.61 <=> 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_diff__diff__right,axiom,
% 54.88/55.61 ! [V_i,V_j,V_k] :
% 54.88/55.61 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j)
% 54.88/55.61 => 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) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_abs__mult__pos,axiom,
% 54.88/55.61 ! [V_y,V_x,T_a] :
% 54.88/55.61 ( class_Rings_Olinordered__idom(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 54.88/55.61 => 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)) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_abs__eq__mult,axiom,
% 54.88/55.61 ! [V_b,V_a,T_a] :
% 54.88/55.61 ( class_Rings_Oordered__ring__abs(T_a)
% 54.88/55.61 => ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.61 | c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) )
% 54.88/55.61 & ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 54.88/55.61 | c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) ) )
% 54.88/55.61 => 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)) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_zero__le__power__abs,axiom,
% 54.88/55.61 ! [V_n,V_a,T_a] :
% 54.88/55.61 ( class_Rings_Olinordered__idom(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_rabs__ratiotest__lemma,axiom,
% 54.88/55.61 ! [V_y,V_x,V_c] :
% 54.88/55.61 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_c,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 54.88/55.61 => ( 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)))
% 54.88/55.61 => V_x = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_abs__real__def,axiom,
% 54.88/55.61 ! [V_a] :
% 54.88/55.61 ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_a,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 54.88/55.61 => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_a) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_a) )
% 54.88/55.61 & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_a,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 54.88/55.61 => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_a) = V_a ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_real__abs__def,axiom,
% 54.88/55.61 ! [V_r] :
% 54.88/55.61 ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 54.88/55.61 => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_r) )
% 54.88/55.61 & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 54.88/55.61 => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) = V_r ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_abs__add__one__not__less__self,axiom,
% 54.88/55.61 ! [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) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_abs__sum__triangle__ineq,axiom,
% 54.88/55.61 ! [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))))) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_nat__diff__split__asm,axiom,
% 54.88/55.61 ! [V_b_2,V_aa_2,V_P_2] :
% 54.88/55.61 ( hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_aa_2,V_b_2)))
% 54.88/55.61 <=> ~ ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_aa_2,V_b_2)
% 54.88/55.61 & ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 54.88/55.61 | ? [B_d] :
% 54.88/55.61 ( V_aa_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_b_2,B_d)
% 54.88/55.61 & ~ hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_nat__diff__split,axiom,
% 54.88/55.61 ! [V_b_2,V_aa_2,V_P_2] :
% 54.88/55.61 ( hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_aa_2,V_b_2)))
% 54.88/55.61 <=> ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_aa_2,V_b_2)
% 54.88/55.61 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 54.88/55.61 & ! [B_d] :
% 54.88/55.61 ( V_aa_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_b_2,B_d)
% 54.88/55.61 => hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_nat__eq__add__iff2,axiom,
% 54.88/55.61 ! [V_n_2,V_ma_2,V_u_2,V_j_2,V_i_2] :
% 54.88/55.61 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2)
% 54.88/55.61 => ( 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)
% 54.88/55.61 <=> 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) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_nat__diff__add__eq2,axiom,
% 54.88/55.61 ! [V_n,V_m,V_u,V_j,V_i] :
% 54.88/55.61 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_nat__le__add__iff2,axiom,
% 54.88/55.61 ! [V_n_2,V_ma_2,V_u_2,V_j_2,V_i_2] :
% 54.88/55.61 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2)
% 54.88/55.61 => ( 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))
% 54.88/55.61 <=> 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)) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_nat__eq__add__iff1,axiom,
% 54.88/55.61 ! [V_n_2,V_ma_2,V_u_2,V_i_2,V_j_2] :
% 54.88/55.61 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2)
% 54.88/55.61 => ( 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)
% 54.88/55.61 <=> 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 ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_nat__diff__add__eq1,axiom,
% 54.88/55.61 ! [V_n,V_m,V_u,V_i,V_j] :
% 54.88/55.61 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j,V_i)
% 54.88/55.61 => 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) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_nat__le__add__iff1,axiom,
% 54.88/55.61 ! [V_n_2,V_ma_2,V_u_2,V_i_2,V_j_2] :
% 54.88/55.61 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2)
% 54.88/55.61 => ( 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))
% 54.88/55.61 <=> 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) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_norm__triangle__ineq3,axiom,
% 54.88/55.61 ! [V_b,V_a,T_a] :
% 54.88/55.61 ( class_RealVector_Oreal__normed__vector(T_a)
% 54.88/55.61 => 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))) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_abs__add__one__gt__zero,axiom,
% 54.88/55.61 ! [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))) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_nat__less__add__iff2,axiom,
% 54.88/55.61 ! [V_n_2,V_ma_2,V_u_2,V_j_2,V_i_2] :
% 54.88/55.61 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2)
% 54.88/55.61 => ( 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))
% 54.88/55.61 <=> 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)) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_nat__less__add__iff1,axiom,
% 54.88/55.61 ! [V_n_2,V_ma_2,V_u_2,V_i_2,V_j_2] :
% 54.88/55.61 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2)
% 54.88/55.61 => ( 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))
% 54.88/55.61 <=> 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) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_realpow__minus__mult,axiom,
% 54.88/55.61 ! [V_x,V_n,T_a] :
% 54.88/55.61 ( class_Groups_Omonoid__mult(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)
% 54.88/55.61 => 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) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_complex__of__real__minus__one,axiom,
% 54.88/55.61 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)) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_realpow__num__eq__if,axiom,
% 54.88/55.61 ! [V_m,V_n,T_a] :
% 54.88/55.61 ( class_Power_Opower(T_a)
% 54.88/55.61 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 54.88/55.61 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),V_n) = c_Groups_Oone__class_Oone(T_a) )
% 54.88/55.61 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 54.88/55.61 => 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)))) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_Deriv_Oinverse__diff__inverse,axiom,
% 54.88/55.61 ! [V_b,V_a,T_a] :
% 54.88/55.61 ( class_Rings_Odivision__ring(T_a)
% 54.88/55.61 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.61 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.61 => 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))) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_one__le__inverse__iff,axiom,
% 54.88/55.61 ! [V_x_2,T_a] :
% 54.88/55.61 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 54.88/55.61 => ( 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))
% 54.88/55.61 <=> ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2)
% 54.88/55.61 & c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,c_Groups_Oone__class_Oone(T_a)) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_inverse__less__1__iff,axiom,
% 54.88/55.61 ! [V_x_2,T_a] :
% 54.88/55.61 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_x_2),c_Groups_Oone__class_Oone(T_a))
% 54.88/55.61 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.61 | c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_x_2) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 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,
% 54.88/55.61 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))) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_qr,axiom,
% 54.88/55.61 ! [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))) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_r01,axiom,
% 54.88/55.61 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) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_lgqr,axiom,
% 54.88/55.61 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____)) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_rnc,axiom,
% 54.88/55.61 ~ 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____))) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_mrmq__eq,axiom,
% 54.88/55.61 ! [V_wa_2] :
% 54.88/55.61 ( 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))
% 54.88/55.61 <=> 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)))) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_kas_I4_J,axiom,
% 54.88/55.61 ! [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))) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_diff__commute,axiom,
% 54.88/55.61 ! [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) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_Deriv_Oadd__diff__add,axiom,
% 54.88/55.61 ! [V_d,V_b,V_c,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oab__group__add(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_field__inverse__zero,axiom,
% 54.88/55.61 ! [T_a] :
% 54.88/55.61 ( class_Fields_Ofield__inverse__zero(T_a)
% 54.88/55.61 => c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_inverse__mult__distrib,axiom,
% 54.88/55.61 ! [V_b,V_a,T_a] :
% 54.88/55.61 ( class_Fields_Ofield__inverse__zero(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_inverse__eq__1__iff,axiom,
% 54.88/55.61 ! [V_x_2,T_a] :
% 54.88/55.61 ( class_Fields_Ofield__inverse__zero(T_a)
% 54.88/55.61 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_x_2) = c_Groups_Oone__class_Oone(T_a)
% 54.88/55.61 <=> V_x_2 = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_abs__inverse,axiom,
% 54.88/55.61 ! [V_a,T_a] :
% 54.88/55.61 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_inverse__nonpositive__iff__nonpositive,axiom,
% 54.88/55.61 ! [V_aa_2,T_a] :
% 54.88/55.61 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 54.88/55.61 => ( 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))
% 54.88/55.61 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_inverse__nonnegative__iff__nonnegative,axiom,
% 54.88/55.61 ! [V_aa_2,T_a] :
% 54.88/55.61 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 54.88/55.61 => ( 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))
% 54.88/55.61 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_inverse__less__imp__less__neg,axiom,
% 54.88/55.61 ! [V_b,V_a,T_a] :
% 54.88/55.61 ( class_Fields_Olinordered__field(T_a)
% 54.88/55.61 => ( 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))
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.61 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_inverse__less__imp__less,axiom,
% 54.88/55.61 ! [V_b,V_a,T_a] :
% 54.88/55.61 ( class_Fields_Olinordered__field(T_a)
% 54.88/55.61 => ( 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))
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.61 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_inverse__negative__imp__negative,axiom,
% 54.88/55.61 ! [V_a,T_a] :
% 54.88/55.61 ( class_Fields_Olinordered__field(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.61 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.61 => c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_less__imp__inverse__less__neg,axiom,
% 54.88/55.61 ! [V_b,V_a,T_a] :
% 54.88/55.61 ( class_Fields_Olinordered__field(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.61 => 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)) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_less__imp__inverse__less,axiom,
% 54.88/55.61 ! [V_b,V_a,T_a] :
% 54.88/55.61 ( class_Fields_Olinordered__field(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.61 => 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)) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_negative__imp__inverse__negative,axiom,
% 54.88/55.61 ! [V_a,T_a] :
% 54.88/55.61 ( class_Fields_Olinordered__field(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.61 => c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_inverse__positive__imp__positive,axiom,
% 54.88/55.61 ! [V_a,T_a] :
% 54.88/55.61 ( class_Fields_Olinordered__field(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a))
% 54.88/55.61 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.61 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_positive__imp__inverse__positive,axiom,
% 54.88/55.61 ! [V_a,T_a] :
% 54.88/55.61 ( class_Fields_Olinordered__field(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.61 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_inverse__negative__iff__negative,axiom,
% 54.88/55.61 ! [V_aa_2,T_a] :
% 54.88/55.61 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.61 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_inverse__positive__iff__positive,axiom,
% 54.88/55.61 ! [V_aa_2,T_a] :
% 54.88/55.61 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2))
% 54.88/55.61 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_nonzero__abs__inverse,axiom,
% 54.88/55.61 ! [V_a,T_a] :
% 54.88/55.61 ( class_Fields_Olinordered__field(T_a)
% 54.88/55.61 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.61 => 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)) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_complex__mod__minus__le__complex__mod,axiom,
% 54.88/55.61 ! [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)) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_complex__diff__def,axiom,
% 54.88/55.61 ! [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)) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_inverse__le__imp__le__neg,axiom,
% 54.88/55.61 ! [V_b,V_a,T_a] :
% 54.88/55.61 ( class_Fields_Olinordered__field(T_a)
% 54.88/55.61 => ( 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))
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.61 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_inverse__le__imp__le,axiom,
% 54.88/55.61 ! [V_b,V_a,T_a] :
% 54.88/55.61 ( class_Fields_Olinordered__field(T_a)
% 54.88/55.61 => ( 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))
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.61 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_le__imp__inverse__le__neg,axiom,
% 54.88/55.61 ! [V_b,V_a,T_a] :
% 54.88/55.61 ( class_Fields_Olinordered__field(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.61 => 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)) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_le__imp__inverse__le,axiom,
% 54.88/55.61 ! [V_b,V_a,T_a] :
% 54.88/55.61 ( class_Fields_Olinordered__field(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.61 => 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)) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_inverse__le__1__iff,axiom,
% 54.88/55.61 ! [V_x_2,T_a] :
% 54.88/55.61 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 54.88/55.61 => ( 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))
% 54.88/55.61 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.61 | c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_x_2) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_inverse__add,axiom,
% 54.88/55.61 ! [V_b,V_a,T_a] :
% 54.88/55.61 ( class_Fields_Ofield(T_a)
% 54.88/55.61 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.61 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.61 => 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)) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_one__less__inverse,axiom,
% 54.88/55.61 ! [V_a,T_a] :
% 54.88/55.61 ( class_Fields_Olinordered__field(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 54.88/55.61 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_one__less__inverse__iff,axiom,
% 54.88/55.61 ! [V_x_2,T_a] :
% 54.88/55.61 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_x_2))
% 54.88/55.61 <=> ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2)
% 54.88/55.61 & c_Orderings_Oord__class_Oless(T_a,V_x_2,c_Groups_Oone__class_Oone(T_a)) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_field__inverse,axiom,
% 54.88/55.61 ! [V_a,T_a] :
% 54.88/55.61 ( class_Fields_Ofield(T_a)
% 54.88/55.61 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.61 => 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) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_real__mult__inverse__cancel,axiom,
% 54.88/55.61 ! [V_u,V_y,V_x1,V_x] :
% 54.88/55.61 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1)
% 54.88/55.61 => ( 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))
% 54.88/55.61 => 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)) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_real__mult__inverse__cancel2,axiom,
% 54.88/55.61 ! [V_u,V_y,V_x1,V_x] :
% 54.88/55.61 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1)
% 54.88/55.61 => ( 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))
% 54.88/55.61 => 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))) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_complex__mod__triangle__ineq2,axiom,
% 54.88/55.61 ! [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)) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_one__le__inverse,axiom,
% 54.88/55.61 ! [V_a,T_a] :
% 54.88/55.61 ( class_Fields_Olinordered__field(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Oone__class_Oone(T_a))
% 54.88/55.61 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 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,
% 54.88/55.61 ( 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))
% 54.88/55.61 => ? [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)) ) ).
% 54.88/55.61
% 54.88/55.61 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,
% 54.88/55.61 ~ ! [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) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_power__eq__if,axiom,
% 54.88/55.61 ! [V_p,V_m] :
% 54.88/55.61 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 54.88/55.61 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 54.88/55.61 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 54.88/55.61 => 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)))) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_mult__eq__if,axiom,
% 54.88/55.61 ! [V_n,V_m] :
% 54.88/55.61 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 54.88/55.61 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 54.88/55.61 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 54.88/55.61 => 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)) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_offset__poly__eq__0__lemma,axiom,
% 54.88/55.61 ! [V_a,V_p,V_c,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__semiring__0(T_a)
% 54.88/55.61 => ( 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))
% 54.88/55.61 => V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_sum__squares__eq__zero__iff,axiom,
% 54.88/55.61 ! [V_y_2,V_x_2,T_a] :
% 54.88/55.61 ( class_Rings_Olinordered__ring__strict(T_a)
% 54.88/55.61 => ( 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)
% 54.88/55.61 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.61 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_sum__squares__ge__zero,axiom,
% 54.88/55.61 ! [V_y,V_x,T_a] :
% 54.88/55.61 ( class_Rings_Olinordered__ring(T_a)
% 54.88/55.61 => 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))) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_sum__squares__le__zero__iff,axiom,
% 54.88/55.61 ! [V_y_2,V_x_2,T_a] :
% 54.88/55.61 ( class_Rings_Olinordered__ring__strict(T_a)
% 54.88/55.61 => ( 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))
% 54.88/55.61 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.61 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_not__sum__squares__lt__zero,axiom,
% 54.88/55.61 ! [V_y,V_x,T_a] :
% 54.88/55.61 ( class_Rings_Olinordered__ring(T_a)
% 54.88/55.61 => ~ 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_sum__squares__gt__zero__iff,axiom,
% 54.88/55.61 ! [V_y_2,V_x_2,T_a] :
% 54.88/55.61 ( class_Rings_Olinordered__ring__strict(T_a)
% 54.88/55.61 => ( 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)))
% 54.88/55.61 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.61 | V_y_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_th01,axiom,
% 54.88/55.61 ~ 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)))))) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_th02,axiom,
% 54.88/55.61 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))))) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_poly__pCons,axiom,
% 54.88/55.61 ! [V_x,V_p,V_a,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__semiring__0(T_a)
% 54.88/55.61 => 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))) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_abs__diff__less__iff,axiom,
% 54.88/55.61 ! [V_r_2,V_aa_2,V_x_2,T_a] :
% 54.88/55.61 ( class_Rings_Olinordered__idom(T_a)
% 54.88/55.61 => ( 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)
% 54.88/55.61 <=> ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_r_2),V_x_2)
% 54.88/55.61 & c_Orderings_Oord__class_Oless(T_a,V_x_2,c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_r_2)) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_monom__eq__iff,axiom,
% 54.88/55.61 ! [V_b_2,V_n_2,V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Ozero(T_a)
% 54.88/55.61 => ( c_Polynomial_Omonom(T_a,V_aa_2,V_n_2) = c_Polynomial_Omonom(T_a,V_b_2,V_n_2)
% 54.88/55.61 <=> V_aa_2 = V_b_2 ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_minus__monom,axiom,
% 54.88/55.61 ! [V_n,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oab__group__add(T_a)
% 54.88/55.61 => 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) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__monom,axiom,
% 54.88/55.61 ! [V_b,V_n,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Ocomm__monoid__add(T_a)
% 54.88/55.61 => 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) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_mult__poly__add__left,axiom,
% 54.88/55.61 ! [V_r,V_q,V_p,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__semiring__0(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_diff__monom,axiom,
% 54.88/55.61 ! [V_b,V_n,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oab__group__add(T_a)
% 54.88/55.61 => 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) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_mult__monom,axiom,
% 54.88/55.61 ! [V_n,V_b,V_m,V_a,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__semiring__0(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_monom__eq__0,axiom,
% 54.88/55.61 ! [V_n,T_a] :
% 54.88/55.61 ( class_Groups_Ozero(T_a)
% 54.88/55.61 => c_Polynomial_Omonom(T_a,c_Groups_Ozero__class_Ozero(T_a),V_n) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_monom__eq__0__iff,axiom,
% 54.88/55.61 ! [V_n_2,V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Ozero(T_a)
% 54.88/55.61 => ( c_Polynomial_Omonom(T_a,V_aa_2,V_n_2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 54.88/55.61 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_smult__monom,axiom,
% 54.88/55.61 ! [V_n,V_b,V_a,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__semiring__0(T_a)
% 54.88/55.61 => 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) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_poly__monom,axiom,
% 54.88/55.61 ! [V_x,V_n,V_a,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__semiring__1(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_monom__0,axiom,
% 54.88/55.61 ! [V_a,T_a] :
% 54.88/55.61 ( class_Groups_Ozero(T_a)
% 54.88/55.61 => 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))) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_abs__poly__def,axiom,
% 54.88/55.61 ! [V_x,T_a] :
% 54.88/55.61 ( class_Rings_Olinordered__idom(T_a)
% 54.88/55.61 => ( ( c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),V_x,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))
% 54.88/55.61 => c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(T_a),V_x) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_x) )
% 54.88/55.61 & ( ~ c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),V_x,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))
% 54.88/55.61 => c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(T_a),V_x) = V_x ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_mult__poly__0__left,axiom,
% 54.88/55.61 ! [V_q,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__semiring__0(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_mult__poly__0__right,axiom,
% 54.88/55.61 ! [V_p,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__semiring__0(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_diff__poly__code_I2_J,axiom,
% 54.88/55.61 ! [V_p,T_a] :
% 54.88/55.61 ( class_Groups_Oab__group__add(T_a)
% 54.88/55.61 => c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_p,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = V_p ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__poly__code_I2_J,axiom,
% 54.88/55.61 ! [V_p,T_a] :
% 54.88/55.61 ( class_Groups_Ocomm__monoid__add(T_a)
% 54.88/55.61 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = V_p ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_diff__poly__code_I1_J,axiom,
% 54.88/55.61 ! [V_q,T_a] :
% 54.88/55.61 ( class_Groups_Oab__group__add(T_a)
% 54.88/55.61 => 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) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__poly__code_I1_J,axiom,
% 54.88/55.61 ! [V_q,T_a] :
% 54.88/55.61 ( class_Groups_Ocomm__monoid__add(T_a)
% 54.88/55.61 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q) = V_q ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_minus__poly__code_I1_J,axiom,
% 54.88/55.61 ! [T_a] :
% 54.88/55.61 ( class_Groups_Oab__group__add(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_poly__eq__iff,axiom,
% 54.88/55.61 ! [V_qa_2,V_pb_2,T_a] :
% 54.88/55.61 ( ( class_Int_Oring__char__0(T_a)
% 54.88/55.61 & class_Rings_Oidom(T_a) )
% 54.88/55.61 => ( c_Polynomial_Opoly(T_a,V_pb_2) = c_Polynomial_Opoly(T_a,V_qa_2)
% 54.88/55.61 <=> V_pb_2 = V_qa_2 ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_pCons__eq__iff,axiom,
% 54.88/55.61 ! [V_qa_2,V_b_2,V_pb_2,V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Ozero(T_a)
% 54.88/55.61 => ( c_Polynomial_OpCons(T_a,V_aa_2,V_pb_2) = c_Polynomial_OpCons(T_a,V_b_2,V_qa_2)
% 54.88/55.61 <=> ( V_aa_2 = V_b_2
% 54.88/55.61 & V_pb_2 = V_qa_2 ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_smult__diff__right,axiom,
% 54.88/55.61 ! [V_q,V_p,V_a,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__ring(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_mult__smult__right,axiom,
% 54.88/55.61 ! [V_q,V_a,V_p,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__semiring__0(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_mult__smult__left,axiom,
% 54.88/55.61 ! [V_q,V_p,V_a,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__semiring__0(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_smult__minus__right,axiom,
% 54.88/55.61 ! [V_p,V_a,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__ring(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_smult__add__right,axiom,
% 54.88/55.61 ! [V_q,V_p,V_a,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__semiring__0(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_poly__replicate__append,axiom,
% 54.88/55.61 ! [V_x,V_p,V_n,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__ring__1(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_poly__mult,axiom,
% 54.88/55.61 ! [V_x,V_q,V_p,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__semiring__0(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_poly__add,axiom,
% 54.88/55.61 ! [V_x,V_q,V_p,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__semiring__0(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_poly__1,axiom,
% 54.88/55.61 ! [V_x,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__semiring__1(T_a)
% 54.88/55.61 => 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) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_poly__diff,axiom,
% 54.88/55.61 ! [V_x,V_q,V_p,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__ring(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__pCons,axiom,
% 54.88/55.61 ! [V_q,V_b,V_p,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Ocomm__monoid__add(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_poly__minus,axiom,
% 54.88/55.61 ! [V_x,V_p,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__ring(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_poly__power,axiom,
% 54.88/55.61 ! [V_x,V_n,V_p,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__semiring__1(T_a)
% 54.88/55.61 => 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) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_diff__pCons,axiom,
% 54.88/55.61 ! [V_q,V_b,V_p,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oab__group__add(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_smult__smult,axiom,
% 54.88/55.61 ! [V_p,V_b,V_a,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__semiring__0(T_a)
% 54.88/55.61 => 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) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_smult__add__left,axiom,
% 54.88/55.61 ! [V_p,V_b,V_a,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__semiring__0(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_smult__1__left,axiom,
% 54.88/55.61 ! [V_p,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__semiring__1(T_a)
% 54.88/55.61 => c_Polynomial_Osmult(T_a,c_Groups_Oone__class_Oone(T_a),V_p) = V_p ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_minus__pCons,axiom,
% 54.88/55.61 ! [V_p,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oab__group__add(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_minus__poly__code_I2_J,axiom,
% 54.88/55.61 ! [V_p,V_a,T_b] :
% 54.88/55.61 ( class_Groups_Oab__group__add(T_b)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_smult__diff__left,axiom,
% 54.88/55.61 ! [V_p,V_b,V_a,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__ring(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_smult__minus__left,axiom,
% 54.88/55.61 ! [V_p,V_a,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__ring(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_poly__zero,axiom,
% 54.88/55.61 ! [V_pb_2,T_a] :
% 54.88/55.61 ( ( class_Int_Oring__char__0(T_a)
% 54.88/55.61 & class_Rings_Oidom(T_a) )
% 54.88/55.61 => ( c_Polynomial_Opoly(T_a,V_pb_2) = c_Polynomial_Opoly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))
% 54.88/55.61 <=> V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_smult__0__right,axiom,
% 54.88/55.61 ! [V_a,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__semiring__0(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_poly__0,axiom,
% 54.88/55.61 ! [V_x,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__semiring__0(T_a)
% 54.88/55.61 => 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) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_pCons__eq__0__iff,axiom,
% 54.88/55.61 ! [V_pb_2,V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Ozero(T_a)
% 54.88/55.61 => ( c_Polynomial_OpCons(T_a,V_aa_2,V_pb_2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 54.88/55.61 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.61 & V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_pCons__0__0,axiom,
% 54.88/55.61 ! [T_a] :
% 54.88/55.61 ( class_Groups_Ozero(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_smult__0__left,axiom,
% 54.88/55.61 ! [V_p,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__semiring__0(T_a)
% 54.88/55.61 => c_Polynomial_Osmult(T_a,c_Groups_Ozero__class_Ozero(T_a),V_p) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_smult__eq__0__iff,axiom,
% 54.88/55.61 ! [V_pb_2,V_aa_2,T_a] :
% 54.88/55.61 ( class_Rings_Oidom(T_a)
% 54.88/55.61 => ( c_Polynomial_Osmult(T_a,V_aa_2,V_pb_2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 54.88/55.61 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.61 | V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_one__poly__def,axiom,
% 54.88/55.61 ! [T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__semiring__1(T_a)
% 54.88/55.61 => 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))) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_poly__smult,axiom,
% 54.88/55.61 ! [V_x,V_p,V_a,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__semiring__0(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_mult__pCons__left,axiom,
% 54.88/55.61 ! [V_q,V_p,V_a,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__semiring__0(T_a)
% 54.88/55.61 => 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))) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_mult__pCons__right,axiom,
% 54.88/55.61 ! [V_q,V_a,V_p,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__semiring__0(T_a)
% 54.88/55.61 => 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))) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_smult__pCons,axiom,
% 54.88/55.61 ! [V_p,V_b,V_a,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__semiring__0(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_synthetic__div__unique__lemma,axiom,
% 54.88/55.61 ! [V_a,V_p,V_c,T_a] :
% 54.88/55.61 ( class_Rings_Ocomm__semiring__0(T_a)
% 54.88/55.61 => ( c_Polynomial_Osmult(T_a,V_c,V_p) = c_Polynomial_OpCons(T_a,V_a,V_p)
% 54.88/55.61 => V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 54.88/55.61
% 54.88/55.61 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,
% 54.88/55.61 ? [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) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_abs__triangle__ineq4,axiom,
% 54.88/55.61 ! [V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 54.88/55.61 => 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))) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_abs__diff__triangle__ineq,axiom,
% 54.88/55.61 ! [V_d,V_c,V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 54.88/55.61 => 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)))) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_abs__of__neg,axiom,
% 54.88/55.61 ! [V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.61 => c_Groups_Oabs__class_Oabs(T_a,V_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_a) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_zero__reorient,axiom,
% 54.88/55.61 ! [V_x_2,T_a] :
% 54.88/55.61 ( class_Groups_Ozero(T_a)
% 54.88/55.61 => ( c_Groups_Ozero__class_Ozero(T_a) = V_x_2
% 54.88/55.61 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 54.88/55.61 ! [V_c,V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oab__semigroup__mult(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__right__imp__eq,axiom,
% 54.88/55.61 ! [V_c,V_a,V_b,T_a] :
% 54.88/55.61 ( class_Groups_Ocancel__semigroup__add(T_a)
% 54.88/55.61 => ( c_Groups_Oplus__class_Oplus(T_a,V_b,V_a) = c_Groups_Oplus__class_Oplus(T_a,V_c,V_a)
% 54.88/55.61 => V_b = V_c ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__imp__eq,axiom,
% 54.88/55.61 ! [V_c,V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 54.88/55.61 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)
% 54.88/55.61 => V_b = V_c ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__left__imp__eq,axiom,
% 54.88/55.61 ! [V_c,V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Ocancel__semigroup__add(T_a)
% 54.88/55.61 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)
% 54.88/55.61 => V_b = V_c ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__right__cancel,axiom,
% 54.88/55.61 ! [V_ca_2,V_aa_2,V_b_2,T_a] :
% 54.88/55.61 ( class_Groups_Ocancel__semigroup__add(T_a)
% 54.88/55.61 => ( 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)
% 54.88/55.61 <=> V_b_2 = V_ca_2 ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__left__cancel,axiom,
% 54.88/55.61 ! [V_ca_2,V_b_2,V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Ocancel__semigroup__add(T_a)
% 54.88/55.61 => ( 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)
% 54.88/55.61 <=> V_b_2 = V_ca_2 ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 54.88/55.61 ! [V_c,V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oab__semigroup__add(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_one__reorient,axiom,
% 54.88/55.61 ! [V_x_2,T_a] :
% 54.88/55.61 ( class_Groups_Oone(T_a)
% 54.88/55.61 => ( c_Groups_Oone__class_Oone(T_a) = V_x_2
% 54.88/55.61 <=> V_x_2 = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_diff__eq__diff__eq,axiom,
% 54.88/55.61 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Oab__group__add(T_a)
% 54.88/55.61 => ( 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)
% 54.88/55.61 => ( V_aa_2 = V_b_2
% 54.88/55.61 <=> V_ca_2 = V_d_2 ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_neg__equal__iff__equal,axiom,
% 54.88/55.61 ! [V_b_2,V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Ogroup__add(T_a)
% 54.88/55.61 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2)
% 54.88/55.61 <=> V_aa_2 = V_b_2 ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_minus__equation__iff,axiom,
% 54.88/55.61 ! [V_b_2,V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Ogroup__add(T_a)
% 54.88/55.61 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) = V_b_2
% 54.88/55.61 <=> c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) = V_aa_2 ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_equation__minus__iff,axiom,
% 54.88/55.61 ! [V_b_2,V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Ogroup__add(T_a)
% 54.88/55.61 => ( V_aa_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2)
% 54.88/55.61 <=> V_b_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_minus__minus,axiom,
% 54.88/55.61 ! [V_a,T_a] :
% 54.88/55.61 ( class_Groups_Ogroup__add(T_a)
% 54.88/55.61 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a)) = V_a ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_abs__idempotent,axiom,
% 54.88/55.61 ! [V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 54.88/55.61 => 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) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__0__left,axiom,
% 54.88/55.61 ! [V_a,T_a] :
% 54.88/55.61 ( class_Groups_Omonoid__add(T_a)
% 54.88/55.61 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__0,axiom,
% 54.88/55.61 ! [V_a,T_a] :
% 54.88/55.61 ( class_Groups_Ocomm__monoid__add(T_a)
% 54.88/55.61 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_double__zero__sym,axiom,
% 54.88/55.61 ! [V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Olinordered__ab__group__add(T_a)
% 54.88/55.61 => ( c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2)
% 54.88/55.61 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__0__right,axiom,
% 54.88/55.61 ! [V_a,T_a] :
% 54.88/55.61 ( class_Groups_Omonoid__add(T_a)
% 54.88/55.61 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add_Ocomm__neutral,axiom,
% 54.88/55.61 ! [V_a,T_a] :
% 54.88/55.61 ( class_Groups_Ocomm__monoid__add(T_a)
% 54.88/55.61 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__le__cancel__right,axiom,
% 54.88/55.61 ! [V_b_2,V_ca_2,V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 54.88/55.61 => ( 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))
% 54.88/55.61 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__le__cancel__left,axiom,
% 54.88/55.61 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 54.88/55.61 => ( 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))
% 54.88/55.61 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__right__mono,axiom,
% 54.88/55.61 ! [V_c,V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 54.88/55.61 => 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)) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__left__mono,axiom,
% 54.88/55.61 ! [V_c,V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 54.88/55.61 => 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)) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__mono,axiom,
% 54.88/55.61 ! [V_d,V_c,V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 54.88/55.61 => 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)) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__le__imp__le__right,axiom,
% 54.88/55.61 ! [V_b,V_c,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 54.88/55.61 => ( 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))
% 54.88/55.61 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__le__imp__le__left,axiom,
% 54.88/55.61 ! [V_b,V_a,V_c,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 54.88/55.61 => ( 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))
% 54.88/55.61 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__less__cancel__right,axiom,
% 54.88/55.61 ! [V_b_2,V_ca_2,V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 54.88/55.61 => ( 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))
% 54.88/55.61 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__less__cancel__left,axiom,
% 54.88/55.61 ! [V_b_2,V_aa_2,V_ca_2,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 54.88/55.61 => ( 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))
% 54.88/55.61 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__strict__right__mono,axiom,
% 54.88/55.61 ! [V_c,V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 54.88/55.61 => 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)) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__strict__left__mono,axiom,
% 54.88/55.61 ! [V_c,V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 54.88/55.61 => 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)) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__strict__mono,axiom,
% 54.88/55.61 ! [V_d,V_c,V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 54.88/55.61 => 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)) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__less__imp__less__right,axiom,
% 54.88/55.61 ! [V_b,V_c,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 54.88/55.61 => ( 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))
% 54.88/55.61 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__less__imp__less__left,axiom,
% 54.88/55.61 ! [V_b,V_a,V_c,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 54.88/55.61 => ( 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))
% 54.88/55.61 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_right__minus__eq,axiom,
% 54.88/55.61 ! [V_b_2,V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Ogroup__add(T_a)
% 54.88/55.61 => ( c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.61 <=> V_aa_2 = V_b_2 ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_eq__iff__diff__eq__0,axiom,
% 54.88/55.61 ! [V_b_2,V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Oab__group__add(T_a)
% 54.88/55.61 => ( V_aa_2 = V_b_2
% 54.88/55.61 <=> c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_diff__self,axiom,
% 54.88/55.61 ! [V_a,T_a] :
% 54.88/55.61 ( class_Groups_Ogroup__add(T_a)
% 54.88/55.61 => c_Groups_Ominus__class_Ominus(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_diff__0__right,axiom,
% 54.88/55.61 ! [V_a,T_a] :
% 54.88/55.61 ( class_Groups_Ogroup__add(T_a)
% 54.88/55.61 => c_Groups_Ominus__class_Ominus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_diff__eq__diff__less__eq,axiom,
% 54.88/55.61 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__group__add(T_a)
% 54.88/55.61 => ( 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)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2)
% 54.88/55.61 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_ca_2,V_d_2) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_diff__eq__diff__less,axiom,
% 54.88/55.61 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__group__add(T_a)
% 54.88/55.61 => ( 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)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2)
% 54.88/55.61 <=> c_Orderings_Oord__class_Oless(T_a,V_ca_2,V_d_2) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_mult__1__left,axiom,
% 54.88/55.61 ! [V_a,T_a] :
% 54.88/55.61 ( class_Groups_Omonoid__mult(T_a)
% 54.88/55.61 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_mult__1,axiom,
% 54.88/55.61 ! [V_a,T_a] :
% 54.88/55.61 ( class_Groups_Ocomm__monoid__mult(T_a)
% 54.88/55.61 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_mult__1__right,axiom,
% 54.88/55.61 ! [V_a,T_a] :
% 54.88/55.61 ( class_Groups_Omonoid__mult(T_a)
% 54.88/55.61 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_mult_Ocomm__neutral,axiom,
% 54.88/55.61 ! [V_a,T_a] :
% 54.88/55.61 ( class_Groups_Ocomm__monoid__mult(T_a)
% 54.88/55.61 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_minus__zero,axiom,
% 54.88/55.61 ! [T_a] :
% 54.88/55.61 ( class_Groups_Ogroup__add(T_a)
% 54.88/55.61 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_neg__0__equal__iff__equal,axiom,
% 54.88/55.61 ! [V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Ogroup__add(T_a)
% 54.88/55.61 => ( c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)
% 54.88/55.61 <=> c_Groups_Ozero__class_Ozero(T_a) = V_aa_2 ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_equal__neg__zero,axiom,
% 54.88/55.61 ! [V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Olinordered__ab__group__add(T_a)
% 54.88/55.61 => ( V_aa_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)
% 54.88/55.61 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_neg__equal__0__iff__equal,axiom,
% 54.88/55.61 ! [V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Ogroup__add(T_a)
% 54.88/55.61 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) = c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.61 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_neg__equal__zero,axiom,
% 54.88/55.61 ! [V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Olinordered__ab__group__add(T_a)
% 54.88/55.61 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) = V_aa_2
% 54.88/55.61 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_le__minus__iff,axiom,
% 54.88/55.61 ! [V_b_2,V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__group__add(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2))
% 54.88/55.61 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_minus__le__iff,axiom,
% 54.88/55.61 ! [V_b_2,V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__group__add(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_b_2)
% 54.88/55.61 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),V_aa_2) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_neg__le__iff__le,axiom,
% 54.88/55.61 ! [V_aa_2,V_b_2,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__group__add(T_a)
% 54.88/55.61 => ( 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))
% 54.88/55.61 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_le__imp__neg__le,axiom,
% 54.88/55.61 ! [V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__group__add(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 54.88/55.61 => 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)) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_diff__add__cancel,axiom,
% 54.88/55.61 ! [V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Ogroup__add(T_a)
% 54.88/55.61 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),V_b) = V_a ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__diff__cancel,axiom,
% 54.88/55.61 ! [V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Ogroup__add(T_a)
% 54.88/55.61 => c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_b) = V_a ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_less__minus__iff,axiom,
% 54.88/55.61 ! [V_b_2,V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__group__add(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2))
% 54.88/55.61 <=> c_Orderings_Oord__class_Oless(T_a,V_b_2,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_minus__less__iff,axiom,
% 54.88/55.61 ! [V_b_2,V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__group__add(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_b_2)
% 54.88/55.61 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),V_aa_2) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_neg__less__iff__less,axiom,
% 54.88/55.61 ! [V_aa_2,V_b_2,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__group__add(T_a)
% 54.88/55.61 => ( 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))
% 54.88/55.61 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_minus__add__cancel,axiom,
% 54.88/55.61 ! [V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Ogroup__add(T_a)
% 54.88/55.61 => 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 ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__minus__cancel,axiom,
% 54.88/55.61 ! [V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Ogroup__add(T_a)
% 54.88/55.61 => 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 ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_minus__add,axiom,
% 54.88/55.61 ! [V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Ogroup__add(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_minus__add__distrib,axiom,
% 54.88/55.61 ! [V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oab__group__add(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_minus__diff__eq,axiom,
% 54.88/55.61 ! [V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oab__group__add(T_a)
% 54.88/55.61 => 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) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_abs__eq__0,axiom,
% 54.88/55.61 ! [V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 54.88/55.61 => ( c_Groups_Oabs__class_Oabs(T_a,V_aa_2) = c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.61 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_abs__zero,axiom,
% 54.88/55.61 ! [T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 54.88/55.61 => c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_abs__le__D1,axiom,
% 54.88/55.61 ! [V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),V_b)
% 54.88/55.61 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_abs__ge__self,axiom,
% 54.88/55.61 ! [V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 54.88/55.61 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Oabs__class_Oabs(T_a,V_a)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_abs__add__abs,axiom,
% 54.88/55.61 ! [V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_abs__minus__commute,axiom,
% 54.88/55.61 ! [V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 54.88/55.61 => 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)) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_abs__minus__cancel,axiom,
% 54.88/55.61 ! [V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 54.88/55.61 => 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) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 54.88/55.61 ! [V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Olinordered__ab__group__add(T_a)
% 54.88/55.61 => ( 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))
% 54.88/55.61 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 54.88/55.61 ! [V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Olinordered__ab__group__add(T_a)
% 54.88/55.61 => ( 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))
% 54.88/55.61 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__nonneg__nonneg,axiom,
% 54.88/55.61 ! [V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 54.88/55.61 => 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)) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__nonneg__eq__0__iff,axiom,
% 54.88/55.61 ! [V_y_2,V_x_2,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y_2)
% 54.88/55.61 => ( c_Groups_Oplus__class_Oplus(T_a,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.61 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 54.88/55.61 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__increasing,axiom,
% 54.88/55.61 ! [V_c,V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c)
% 54.88/55.61 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__increasing2,axiom,
% 54.88/55.61 ! [V_a,V_b,V_c,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 54.88/55.61 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__nonpos__nonpos,axiom,
% 54.88/55.61 ! [V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.61 => 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)) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 54.88/55.61 ! [V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Olinordered__ab__group__add(T_a)
% 54.88/55.61 => ( 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))
% 54.88/55.61 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 54.88/55.61 ! [V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Olinordered__ab__group__add(T_a)
% 54.88/55.61 => ( 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))
% 54.88/55.61 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__pos__pos,axiom,
% 54.88/55.61 ! [V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 54.88/55.61 => 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)) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__neg__neg,axiom,
% 54.88/55.61 ! [V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 54.88/55.61 => 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)) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__less__le__mono,axiom,
% 54.88/55.61 ! [V_d,V_c,V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d)
% 54.88/55.61 => 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)) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_add__le__less__mono,axiom,
% 54.88/55.61 ! [V_d,V_c,V_b,V_a,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d)
% 54.88/55.61 => 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)) ) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_le__iff__diff__le__0,axiom,
% 54.88/55.61 ! [V_b_2,V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__group__add(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2)
% 54.88/55.61 <=> 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)) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_less__iff__diff__less__0,axiom,
% 54.88/55.61 ! [V_b_2,V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__group__add(T_a)
% 54.88/55.61 => ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2)
% 54.88/55.61 <=> 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)) ) ) ).
% 54.88/55.61
% 54.88/55.61 fof(fact_neg__0__le__iff__le,axiom,
% 54.88/55.61 ! [V_aa_2,T_a] :
% 54.88/55.61 ( class_Groups_Oordered__ab__group__add(T_a)
% 55.04/55.61 => ( 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))
% 55.04/55.61 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 55.04/55.61
% 55.04/55.61 fof(fact_le__minus__self__iff,axiom,
% 55.04/55.61 ! [V_aa_2,T_a] :
% 55.04/55.61 ( class_Groups_Olinordered__ab__group__add(T_a)
% 55.04/55.61 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2))
% 55.04/55.61 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 55.04/55.61
% 55.04/55.61 fof(fact_neg__le__0__iff__le,axiom,
% 55.04/55.61 ! [V_aa_2,T_a] :
% 55.04/55.61 ( class_Groups_Oordered__ab__group__add(T_a)
% 55.04/55.61 => ( 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))
% 55.04/55.61 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 55.04/55.61
% 55.04/55.61 fof(fact_minus__le__self__iff,axiom,
% 55.04/55.61 ! [V_aa_2,T_a] :
% 55.04/55.61 ( class_Groups_Olinordered__ab__group__add(T_a)
% 55.04/55.61 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_aa_2)
% 55.04/55.61 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 55.04/55.61
% 55.04/55.61 fof(fact_neg__0__less__iff__less,axiom,
% 55.04/55.61 ! [V_aa_2,T_a] :
% 55.04/55.61 ( class_Groups_Oordered__ab__group__add(T_a)
% 55.04/55.61 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2))
% 55.04/55.61 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 55.04/55.61
% 55.04/55.61 fof(fact_neg__less__0__iff__less,axiom,
% 55.04/55.61 ! [V_aa_2,T_a] :
% 55.04/55.61 ( class_Groups_Oordered__ab__group__add(T_a)
% 55.04/55.61 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))
% 55.04/55.61 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 55.04/55.61
% 55.04/55.61 fof(fact_neg__less__nonneg,axiom,
% 55.04/55.61 ! [V_aa_2,T_a] :
% 55.04/55.61 ( class_Groups_Olinordered__ab__group__add(T_a)
% 55.04/55.61 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_aa_2)
% 55.04/55.61 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 55.04/55.61
% 55.04/55.61 fof(fact_right__minus,axiom,
% 55.04/55.61 ! [V_a,T_a] :
% 55.04/55.61 ( class_Groups_Ogroup__add(T_a)
% 55.04/55.61 => 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) ) ).
% 55.04/55.61
% 55.04/55.61 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 55.04/55.61 ! [V_b_2,V_aa_2,T_a] :
% 55.04/55.61 ( class_Groups_Ogroup__add(T_a)
% 55.04/55.61 => ( V_aa_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2)
% 55.04/55.61 <=> c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 55.04/55.61
% 55.04/55.61 fof(fact_left__minus,axiom,
% 55.04/55.62 ! [V_a,T_a] :
% 55.04/55.62 ( class_Groups_Ogroup__add(T_a)
% 55.04/55.62 => 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) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_ab__left__minus,axiom,
% 55.04/55.62 ! [V_a,T_a] :
% 55.04/55.62 ( class_Groups_Oab__group__add(T_a)
% 55.04/55.62 => 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) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_minus__unique,axiom,
% 55.04/55.62 ! [V_b,V_a,T_a] :
% 55.04/55.62 ( class_Groups_Ogroup__add(T_a)
% 55.04/55.62 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 55.04/55.62 => c_Groups_Ouminus__class_Ouminus(T_a,V_a) = V_b ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_diff__0,axiom,
% 55.04/55.62 ! [V_a,T_a] :
% 55.04/55.62 ( class_Groups_Ogroup__add(T_a)
% 55.04/55.62 => 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) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_abs__ge__zero,axiom,
% 55.04/55.62 ! [V_a,T_a] :
% 55.04/55.62 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_abs__le__zero__iff,axiom,
% 55.04/55.62 ! [V_aa_2,T_a] :
% 55.04/55.62 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 55.04/55.62 => ( 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))
% 55.04/55.62 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_abs__of__nonneg,axiom,
% 55.04/55.62 ! [V_a,T_a] :
% 55.04/55.62 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 55.04/55.62 => c_Groups_Oabs__class_Oabs(T_a,V_a) = V_a ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_abs__not__less__zero,axiom,
% 55.04/55.62 ! [V_a,T_a] :
% 55.04/55.62 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 55.04/55.62 => ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zero__less__abs__iff,axiom,
% 55.04/55.62 ! [V_aa_2,T_a] :
% 55.04/55.62 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oabs__class_Oabs(T_a,V_aa_2))
% 55.04/55.62 <=> V_aa_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_abs__of__pos,axiom,
% 55.04/55.62 ! [V_a,T_a] :
% 55.04/55.62 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 55.04/55.62 => c_Groups_Oabs__class_Oabs(T_a,V_a) = V_a ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_diff__minus__eq__add,axiom,
% 55.04/55.62 ! [V_b,V_a,T_a] :
% 55.04/55.62 ( class_Groups_Ogroup__add(T_a)
% 55.04/55.62 => 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) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_ab__diff__minus,axiom,
% 55.04/55.62 ! [V_b,V_a,T_a] :
% 55.04/55.62 ( class_Groups_Oab__group__add(T_a)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_diff__def,axiom,
% 55.04/55.62 ! [V_b,V_a,T_a] :
% 55.04/55.62 ( class_Groups_Ogroup__add(T_a)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_abs__triangle__ineq,axiom,
% 55.04/55.62 ! [V_b,V_a,T_a] :
% 55.04/55.62 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 55.04/55.62 => 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))) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_abs__triangle__ineq3,axiom,
% 55.04/55.62 ! [V_b,V_a,T_a] :
% 55.04/55.62 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 55.04/55.62 => 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))) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_abs__triangle__ineq2,axiom,
% 55.04/55.62 ! [V_b,V_a,T_a] :
% 55.04/55.62 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 55.04/55.62 => 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))) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_abs__triangle__ineq2__sym,axiom,
% 55.04/55.62 ! [V_b,V_a,T_a] :
% 55.04/55.62 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 55.04/55.62 => 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))) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_abs__le__D2,axiom,
% 55.04/55.62 ! [V_b,V_a,T_a] :
% 55.04/55.62 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),V_b)
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_b) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_abs__leI,axiom,
% 55.04/55.62 ! [V_b,V_a,T_a] :
% 55.04/55.62 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_b)
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),V_b) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_abs__le__iff,axiom,
% 55.04/55.62 ! [V_b_2,V_aa_2,T_a] :
% 55.04/55.62 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_aa_2),V_b_2)
% 55.04/55.62 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2)
% 55.04/55.62 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_b_2) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_abs__ge__minus__self,axiom,
% 55.04/55.62 ! [V_a,T_a] :
% 55.04/55.62 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_add__pos__nonneg,axiom,
% 55.04/55.62 ! [V_b,V_a,T_a] :
% 55.04/55.62 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 55.04/55.62 => 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)) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_add__nonneg__pos,axiom,
% 55.04/55.62 ! [V_b,V_a,T_a] :
% 55.04/55.62 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)
% 55.04/55.62 => 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)) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_add__strict__increasing,axiom,
% 55.04/55.62 ! [V_c,V_b,V_a,T_a] :
% 55.04/55.62 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c)
% 55.04/55.62 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_add__strict__increasing2,axiom,
% 55.04/55.62 ! [V_c,V_b,V_a,T_a] :
% 55.04/55.62 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c)
% 55.04/55.62 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_add__neg__nonpos,axiom,
% 55.04/55.62 ! [V_b,V_a,T_a] :
% 55.04/55.62 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 55.04/55.62 => 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)) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_add__nonpos__neg,axiom,
% 55.04/55.62 ! [V_b,V_a,T_a] :
% 55.04/55.62 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))
% 55.04/55.62 => 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)) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_abs__minus__le__zero,axiom,
% 55.04/55.62 ! [V_a,T_a] :
% 55.04/55.62 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_abs__of__nonpos,axiom,
% 55.04/55.62 ! [V_a,T_a] :
% 55.04/55.62 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 55.04/55.62 => c_Groups_Oabs__class_Oabs(T_a,V_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_a) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_abs__if,axiom,
% 55.04/55.62 ! [V_a,T_a] :
% 55.04/55.62 ( class_Groups_Oabs__if(T_a)
% 55.04/55.62 => ( ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 55.04/55.62 => c_Groups_Oabs__class_Oabs(T_a,V_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_a) )
% 55.04/55.62 & ( ~ c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 55.04/55.62 => c_Groups_Oabs__class_Oabs(T_a,V_a) = V_a ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_synthetic__div__correct_H,axiom,
% 55.04/55.62 ! [V_p,V_c,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__ring__1(T_a)
% 55.04/55.62 => 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 ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_reduce__poly__simple,axiom,
% 55.04/55.62 ! [V_n,V_b] :
% 55.04/55.62 ( V_b != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 55.04/55.62 => ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 55.04/55.62 => ? [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)) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zero__less__power__nat__eq,axiom,
% 55.04/55.62 ! [V_n_2,V_x_2] :
% 55.04/55.62 ( 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))
% 55.04/55.62 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 55.04/55.62 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_synthetic__div__0,axiom,
% 55.04/55.62 ! [V_c,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__0(T_a)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_synthetic__div__pCons,axiom,
% 55.04/55.62 ! [V_c,V_p,V_a,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__0(T_a)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_synthetic__div__unique,axiom,
% 55.04/55.62 ! [V_r,V_q,V_c,V_p,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__0(T_a)
% 55.04/55.62 => ( 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)
% 55.04/55.62 => ( V_r = hAPP(c_Polynomial_Opoly(T_a,V_p),V_c)
% 55.04/55.62 & V_q = c_Polynomial_Osynthetic__div(T_a,V_p,V_c) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_synthetic__div__correct,axiom,
% 55.04/55.62 ! [V_c,V_p,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__0(T_a)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_not__real__square__gt__zero,axiom,
% 55.04/55.62 ! [V_x_2] :
% 55.04/55.62 ( ~ 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))
% 55.04/55.62 <=> V_x_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 55.04/55.62 ! [V_q,V_p,V_x,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 55.04/55.62 ! [V_x,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => 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) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 55.04/55.62 ! [V_b,V_a,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => 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) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 55.04/55.62 ! [V_ry,V_rx,V_lx,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 55.04/55.62 ! [V_ry,V_rx,V_lx,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => 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) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 55.04/55.62 ! [V_rx,V_ly,V_lx,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 55.04/55.62 ! [V_rx,V_ly,V_lx,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => 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) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 55.04/55.62 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => 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))) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 55.04/55.62 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 55.04/55.62 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 55.04/55.62 ! [V_d,V_c,V_b,V_a,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 55.04/55.62 ! [V_c,V_b,V_a,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => 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) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 55.04/55.62 ! [V_c,V_b,V_a,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 55.04/55.62 ! [V_d,V_c,V_a,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => 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) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 55.04/55.62 ! [V_d,V_c,V_a,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 55.04/55.62 ! [V_c,V_a,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => c_Groups_Oplus__class_Oplus(T_a,V_a,V_c) = c_Groups_Oplus__class_Oplus(T_a,V_c,V_a) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 55.04/55.62 ! [V_a,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => 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) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 55.04/55.62 ! [V_a,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => 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) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 55.04/55.62 ! [V_a,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 55.04/55.62 ! [V_a,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_add__0__iff,axiom,
% 55.04/55.62 ! [V_aa_2,V_b_2,T_a] :
% 55.04/55.62 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 55.04/55.62 => ( V_b_2 = c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_aa_2)
% 55.04/55.62 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 55.04/55.62 ! [V_z,V_y,V_x,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_crossproduct__noteq,axiom,
% 55.04/55.62 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_a] :
% 55.04/55.62 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 55.04/55.62 => ( ( V_aa_2 != V_b_2
% 55.04/55.62 & V_ca_2 != V_d_2 )
% 55.04/55.62 <=> 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)) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 55.04/55.62 ! [V_c,V_b,V_a,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 55.04/55.62 ! [V_b,V_m,V_a,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => 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) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_crossproduct__eq,axiom,
% 55.04/55.62 ! [V_z_2,V_x_2,V_y_2,V_wa_2,T_a] :
% 55.04/55.62 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 55.04/55.62 => ( 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))
% 55.04/55.62 <=> ( V_wa_2 = V_x_2
% 55.04/55.62 | V_y_2 = V_z_2 ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 55.04/55.62 ! [V_a,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 55.04/55.62 ! [V_a,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 55.04/55.62 ! [V_q,V_y,V_x,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 55.04/55.62 ! [V_q,V_p,V_x,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 55.04/55.62 ! [V_x,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_add__scale__eq__noteq,axiom,
% 55.04/55.62 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 55.04/55.62 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 55.04/55.62 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 55.04/55.62 => ( ( V_a = V_b
% 55.04/55.62 & V_c != V_d )
% 55.04/55.62 => 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)) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 55.04/55.62 ! [V_m,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => 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) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 55.04/55.62 ! [V_a,V_m,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => 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) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 55.04/55.62 ! [V_m,V_a,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.62 => 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) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 55.04/55.62 ! [V_x,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__ring__1(T_a)
% 55.04/55.62 => 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) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 55.04/55.62 ! [V_y,V_x,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__ring__1(T_a)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_pcompose__pCons,axiom,
% 55.04/55.62 ! [V_q,V_p,V_a,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__0(T_a)
% 55.04/55.62 => 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))) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_even__less__0__iff,axiom,
% 55.04/55.62 ! [V_aa_2,T_a] :
% 55.04/55.62 ( class_Rings_Olinordered__idom(T_a)
% 55.04/55.62 => ( 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))
% 55.04/55.62 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_of__real_Opos__bounded,axiom,
% 55.04/55.62 ! [T_a] :
% 55.04/55.62 ( ( class_RealVector_Oreal__algebra__1(T_a)
% 55.04/55.62 & class_RealVector_Oreal__normed__vector(T_a) )
% 55.04/55.62 => ? [B_K] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K)
% 55.04/55.62 & ! [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)) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_pcompose__0,axiom,
% 55.04/55.62 ! [V_q,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__0(T_a)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_poly__pcompose,axiom,
% 55.04/55.62 ! [V_x,V_q,V_p,T_a] :
% 55.04/55.62 ( class_Rings_Ocomm__semiring__0(T_a)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zero__less__zpower__abs__iff,axiom,
% 55.04/55.62 ! [V_n_2,V_x_2] :
% 55.04/55.62 ( 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))
% 55.04/55.62 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 55.04/55.62 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zpower__zadd__distrib,axiom,
% 55.04/55.62 ! [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)) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zpower__zpower,axiom,
% 55.04/55.62 ! [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)) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_double__eq__0__iff,axiom,
% 55.04/55.62 ! [V_aa_2,T_a] :
% 55.04/55.62 ( class_Groups_Olinordered__ab__group__add(T_a)
% 55.04/55.62 => ( c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2) = c_Groups_Ozero__class_Ozero(T_a)
% 55.04/55.62 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_unimodular__reduce__norm,axiom,
% 55.04/55.62 ! [V_z] :
% 55.04/55.62 ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_z) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
% 55.04/55.62 => ( 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))
% 55.04/55.62 | 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))
% 55.04/55.62 | 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))
% 55.04/55.62 | 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)) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_order__root,axiom,
% 55.04/55.62 ! [V_aa_2,V_pb_2,T_a] :
% 55.04/55.62 ( class_Rings_Oidom(T_a)
% 55.04/55.62 => ( hAPP(c_Polynomial_Opoly(T_a,V_pb_2),V_aa_2) = c_Groups_Ozero__class_Ozero(T_a)
% 55.04/55.62 <=> ( V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 55.04/55.62 | c_Polynomial_Oorder(T_a,V_aa_2,V_pb_2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_odd__nonzero,axiom,
% 55.04/55.62 ! [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) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zadd__zminus__inverse2,axiom,
% 55.04/55.62 ! [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) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_odd__less__0,axiom,
% 55.04/55.62 ! [V_z_2] :
% 55.04/55.62 ( 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))
% 55.04/55.62 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_le__imp__0__less,axiom,
% 55.04/55.62 ! [V_z] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zadd__zless__mono,axiom,
% 55.04/55.62 ! [V_z,V_z_H,V_w,V_w_H] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_H,V_w)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_H,V_z)
% 55.04/55.62 => 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)) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zadd__strict__right__mono,axiom,
% 55.04/55.62 ! [V_k,V_j,V_i] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zless__imp__add1__zle,axiom,
% 55.04/55.62 ! [V_z,V_w] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w,V_z)
% 55.04/55.62 => 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) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zadd__zmult__distrib,axiom,
% 55.04/55.62 ! [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)) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_add1__zle__eq,axiom,
% 55.04/55.62 ! [V_z_2,V_wa_2] :
% 55.04/55.62 ( 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)
% 55.04/55.62 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,V_z_2) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zadd__zmult__distrib2,axiom,
% 55.04/55.62 ! [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)) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zless__add1__eq,axiom,
% 55.04/55.62 ! [V_z_2,V_wa_2] :
% 55.04/55.62 ( 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)))
% 55.04/55.62 <=> ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,V_z_2)
% 55.04/55.62 | V_wa_2 = V_z_2 ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zle__add1__eq__le,axiom,
% 55.04/55.62 ! [V_z_2,V_wa_2] :
% 55.04/55.62 ( 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)))
% 55.04/55.62 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_wa_2,V_z_2) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zabs__def,axiom,
% 55.04/55.62 ! [V_i] :
% 55.04/55.62 ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 55.04/55.62 => c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_i) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_i) )
% 55.04/55.62 & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 55.04/55.62 => c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_i) = V_i ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_less__bin__lemma,axiom,
% 55.04/55.62 ! [V_l_2,V_ka_2] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_ka_2,V_l_2)
% 55.04/55.62 <=> 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zle__diff1__eq,axiom,
% 55.04/55.62 ! [V_z_2,V_wa_2] :
% 55.04/55.62 ( 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)))
% 55.04/55.62 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,V_z_2) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zdiff__zmult__distrib2,axiom,
% 55.04/55.62 ! [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)) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zdiff__zmult__distrib,axiom,
% 55.04/55.62 ! [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)) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_abs__zmult__eq__1,axiom,
% 55.04/55.62 ! [V_n,V_m] :
% 55.04/55.62 ( 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)
% 55.04/55.62 => c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zabs__less__one__iff,axiom,
% 55.04/55.62 ! [V_z_2] :
% 55.04/55.62 ( 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))
% 55.04/55.62 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zero__le__zpower__abs,axiom,
% 55.04/55.62 ! [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)) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zmult__zminus,axiom,
% 55.04/55.62 ! [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)) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zmult__assoc,axiom,
% 55.04/55.62 ! [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)) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zless__linear,axiom,
% 55.04/55.62 ! [V_y,V_x] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_x,V_y)
% 55.04/55.62 | V_x = V_y
% 55.04/55.62 | c_Orderings_Oord__class_Oless(tc_Int_Oint,V_y,V_x) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zless__le,axiom,
% 55.04/55.62 ! [V_wa_2,V_z_2] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,V_wa_2)
% 55.04/55.62 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_2,V_wa_2)
% 55.04/55.62 & V_z_2 != V_wa_2 ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zmult__commute,axiom,
% 55.04/55.62 ! [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) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zmult__1__right,axiom,
% 55.04/55.62 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zmult__1,axiom,
% 55.04/55.62 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 55.04/55.62
% 55.04/55.62 fof(fact_int__0__neq__1,axiom,
% 55.04/55.62 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_int__0__less__1,axiom,
% 55.04/55.62 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_int__one__le__iff__zero__less,axiom,
% 55.04/55.62 ! [V_z_2] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z_2)
% 55.04/55.62 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_pos__zmult__eq__1__iff,axiom,
% 55.04/55.62 ! [V_n_2,V_ma_2] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_ma_2)
% 55.04/55.62 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_ma_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 55.04/55.62 <=> ( V_ma_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 55.04/55.62 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zmult__zless__mono2,axiom,
% 55.04/55.62 ! [V_k,V_j,V_i] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k)
% 55.04/55.62 => 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)) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zminus__0,axiom,
% 55.04/55.62 c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zadd__0__right,axiom,
% 55.04/55.62 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zadd__0,axiom,
% 55.04/55.62 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z) = V_z ).
% 55.04/55.62
% 55.04/55.62 fof(fact_complex__i__not__zero,axiom,
% 55.04/55.62 c_Complex_Oii != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_complex__i__not__one,axiom,
% 55.04/55.62 c_Complex_Oii != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_complex__i__mult__minus,axiom,
% 55.04/55.62 ! [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) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_inverse__i,axiom,
% 55.04/55.62 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,c_Complex_Oii) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Complex_Oii) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_i__mult__eq2,axiom,
% 55.04/55.62 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)) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_incr__lemma,axiom,
% 55.04/55.62 ! [V_x,V_z,V_d] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_d)
% 55.04/55.62 => 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))) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_decr__lemma,axiom,
% 55.04/55.62 ! [V_z,V_x,V_d] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_d)
% 55.04/55.62 => 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) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zadd__commute,axiom,
% 55.04/55.62 ! [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) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zadd__left__commute,axiom,
% 55.04/55.62 ! [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)) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zadd__assoc,axiom,
% 55.04/55.62 ! [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)) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zadd__left__mono,axiom,
% 55.04/55.62 ! [V_k,V_j,V_i] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_j)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zle__refl,axiom,
% 55.04/55.62 ! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_w) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zle__linear,axiom,
% 55.04/55.62 ! [V_w,V_z] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z,V_w)
% 55.04/55.62 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_z) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zle__trans,axiom,
% 55.04/55.62 ! [V_k,V_j,V_i] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_j)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_j,V_k)
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_k) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zle__antisym,axiom,
% 55.04/55.62 ! [V_w,V_z] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z,V_w)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_z)
% 55.04/55.62 => V_z = V_w ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zminus__zminus,axiom,
% 55.04/55.62 ! [V_z] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z)) = V_z ).
% 55.04/55.62
% 55.04/55.62 fof(fact_diff__int__def__symmetric,axiom,
% 55.04/55.62 ! [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) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_diff__int__def,axiom,
% 55.04/55.62 ! [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)) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zminus__zadd__distrib,axiom,
% 55.04/55.62 ! [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)) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_self__quotient__aux2,axiom,
% 55.04/55.62 ! [V_q,V_r,V_a] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)
% 55.04/55.62 => ( 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))
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r)
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_self__quotient__aux1,axiom,
% 55.04/55.62 ! [V_q,V_r,V_a] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)
% 55.04/55.62 => ( 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))
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_a)
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_q) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 55.04/55.62 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 55.04/55.62 ( 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)
% 55.04/55.62 => ( 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))
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b)
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,V_q) ) ) ) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_unique__quotient__lemma__neg,axiom,
% 55.04/55.62 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 55.04/55.62 ( 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))
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_r,c_Groups_Ozero__class_Ozero(tc_Int_Oint))
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r_H)
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,V_q_H) ) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zdiv__mono2__lemma,axiom,
% 55.04/55.62 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 55.04/55.62 ( 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)
% 55.04/55.62 => ( 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))
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b)
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,V_q_H) ) ) ) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_unique__quotient__lemma,axiom,
% 55.04/55.62 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 55.04/55.62 ( 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))
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b)
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,V_q) ) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_q__neg__lemma,axiom,
% 55.04/55.62 ! [V_r_H,V_q_H,V_b_H] :
% 55.04/55.62 ( 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))
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_q__pos__lemma,axiom,
% 55.04/55.62 ! [V_r_H,V_q_H,V_b_H] :
% 55.04/55.62 ( 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))
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_q_H) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 55.04/55.62 ! [V_n,V_x] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 55.04/55.62 ! [V_y,V_x] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)
% 55.04/55.62 => 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)) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 55.04/55.62 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)) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 55.04/55.62 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)) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 55.04/55.62 ! [V_y,V_x] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)
% 55.04/55.62 => 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)) ) ) ).
% 55.04/55.62
% 55.04/55.62 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,
% 55.04/55.62 ~ ! [B_m] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_m)
% 55.04/55.62 => ~ ! [B_z] :
% 55.04/55.62 ( 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____))
% 55.04/55.62 => 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) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_order__refl,axiom,
% 55.04/55.62 ! [V_x,T_a] :
% 55.04/55.62 ( class_Orderings_Opreorder(T_a)
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_x) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_le__fun__def,axiom,
% 55.04/55.62 ! [V_g_2,V_f_2,T_a,T_b] :
% 55.04/55.62 ( class_Orderings_Oord(T_b)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 55.04/55.62 <=> ! [B_x] : c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,B_x),hAPP(V_g_2,B_x)) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_linorder__linear,axiom,
% 55.04/55.62 ! [V_y,V_x,T_a] :
% 55.04/55.62 ( class_Orderings_Olinorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 55.04/55.62 | c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_order__eq__iff,axiom,
% 55.04/55.62 ! [V_y_2,V_x_2,T_a] :
% 55.04/55.62 ( class_Orderings_Oorder(T_a)
% 55.04/55.62 => ( V_x_2 = V_y_2
% 55.04/55.62 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 55.04/55.62 & c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_order__eq__refl,axiom,
% 55.04/55.62 ! [V_y,V_x,T_a] :
% 55.04/55.62 ( class_Orderings_Opreorder(T_a)
% 55.04/55.62 => ( V_x = V_y
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_le__funD,axiom,
% 55.04/55.62 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] :
% 55.04/55.62 ( class_Orderings_Oord(T_b)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_order__antisym__conv,axiom,
% 55.04/55.62 ! [V_x_2,V_y_2,T_a] :
% 55.04/55.62 ( class_Orderings_Oorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 55.04/55.62 <=> V_x_2 = V_y_2 ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_ord__eq__le__trans,axiom,
% 55.04/55.62 ! [V_c,V_b,V_a,T_a] :
% 55.04/55.62 ( class_Orderings_Oord(T_a)
% 55.04/55.62 => ( V_a = V_b
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c)
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_xt1_I3_J,axiom,
% 55.04/55.62 ! [V_c,V_b,V_a,T_a] :
% 55.04/55.62 ( class_Orderings_Oorder(T_a)
% 55.04/55.62 => ( V_a = V_b
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_b)
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_a) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_ord__le__eq__trans,axiom,
% 55.04/55.62 ! [V_c,V_b,V_a,T_a] :
% 55.04/55.62 ( class_Orderings_Oord(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 55.04/55.62 => ( V_b = V_c
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_xt1_I4_J,axiom,
% 55.04/55.62 ! [V_c,V_a,V_b,T_a] :
% 55.04/55.62 ( class_Orderings_Oorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 55.04/55.62 => ( V_b = V_c
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_a) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_order__antisym,axiom,
% 55.04/55.62 ! [V_y,V_x,T_a] :
% 55.04/55.62 ( class_Orderings_Oorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 55.04/55.62 => V_x = V_y ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_order__trans,axiom,
% 55.04/55.62 ! [V_z,V_y,V_x,T_a] :
% 55.04/55.62 ( class_Orderings_Opreorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_z)
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_z) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_xt1_I5_J,axiom,
% 55.04/55.62 ! [V_x,V_y,T_a] :
% 55.04/55.62 ( class_Orderings_Oorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 55.04/55.62 => V_x = V_y ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_xt1_I6_J,axiom,
% 55.04/55.62 ! [V_z,V_x,V_y,T_a] :
% 55.04/55.62 ( class_Orderings_Oorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_y)
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_x) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_le__funE,axiom,
% 55.04/55.62 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] :
% 55.04/55.62 ( class_Orderings_Oord(T_b)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_linorder__le__cases,axiom,
% 55.04/55.62 ! [V_y,V_x,T_a] :
% 55.04/55.62 ( class_Orderings_Olinorder(T_a)
% 55.04/55.62 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_order__less__irrefl,axiom,
% 55.04/55.62 ! [V_x,T_a] :
% 55.04/55.62 ( class_Orderings_Opreorder(T_a)
% 55.04/55.62 => ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_x) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_linorder__neq__iff,axiom,
% 55.04/55.62 ! [V_y_2,V_x_2,T_a] :
% 55.04/55.62 ( class_Orderings_Olinorder(T_a)
% 55.04/55.62 => ( V_x_2 != V_y_2
% 55.04/55.62 <=> ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 55.04/55.62 | c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_not__less__iff__gr__or__eq,axiom,
% 55.04/55.62 ! [V_y_2,V_x_2,T_a] :
% 55.04/55.62 ( class_Orderings_Olinorder(T_a)
% 55.04/55.62 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 55.04/55.62 <=> ( c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2)
% 55.04/55.62 | V_x_2 = V_y_2 ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_linorder__less__linear,axiom,
% 55.04/55.62 ! [V_y,V_x,T_a] :
% 55.04/55.62 ( class_Orderings_Olinorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 55.04/55.62 | V_x = V_y
% 55.04/55.62 | c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_linorder__antisym__conv3,axiom,
% 55.04/55.62 ! [V_x_2,V_y_2,T_a] :
% 55.04/55.62 ( class_Orderings_Olinorder(T_a)
% 55.04/55.62 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2)
% 55.04/55.62 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 55.04/55.62 <=> V_x_2 = V_y_2 ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_linorder__neqE,axiom,
% 55.04/55.62 ! [V_y,V_x,T_a] :
% 55.04/55.62 ( class_Orderings_Olinorder(T_a)
% 55.04/55.62 => ( V_x != V_y
% 55.04/55.62 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 55.04/55.62 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_less__imp__neq,axiom,
% 55.04/55.62 ! [V_y,V_x,T_a] :
% 55.04/55.62 ( class_Orderings_Oorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 55.04/55.62 => V_x != V_y ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_order__less__not__sym,axiom,
% 55.04/55.62 ! [V_y,V_x,T_a] :
% 55.04/55.62 ( class_Orderings_Opreorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 55.04/55.62 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_order__less__imp__not__less,axiom,
% 55.04/55.62 ! [V_y,V_x,T_a] :
% 55.04/55.62 ( class_Orderings_Opreorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 55.04/55.62 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_order__less__imp__not__eq,axiom,
% 55.04/55.62 ! [V_y,V_x,T_a] :
% 55.04/55.62 ( class_Orderings_Oorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 55.04/55.62 => V_x != V_y ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_order__less__imp__not__eq2,axiom,
% 55.04/55.62 ! [V_y,V_x,T_a] :
% 55.04/55.62 ( class_Orderings_Oorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 55.04/55.62 => V_y != V_x ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_order__less__asym_H,axiom,
% 55.04/55.62 ! [V_b,V_a,T_a] :
% 55.04/55.62 ( class_Orderings_Opreorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 55.04/55.62 => ~ c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_xt1_I9_J,axiom,
% 55.04/55.62 ! [V_a,V_b,T_a] :
% 55.04/55.62 ( class_Orderings_Oorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 55.04/55.62 => ~ c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_ord__eq__less__trans,axiom,
% 55.04/55.62 ! [V_c,V_b,V_a,T_a] :
% 55.04/55.62 ( class_Orderings_Oord(T_a)
% 55.04/55.62 => ( V_a = V_b
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c)
% 55.04/55.62 => c_Orderings_Oord__class_Oless(T_a,V_a,V_c) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_xt1_I1_J,axiom,
% 55.04/55.62 ! [V_c,V_b,V_a,T_a] :
% 55.04/55.62 ( class_Orderings_Oorder(T_a)
% 55.04/55.62 => ( V_a = V_b
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_b)
% 55.04/55.62 => c_Orderings_Oord__class_Oless(T_a,V_c,V_a) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_ord__less__eq__trans,axiom,
% 55.04/55.62 ! [V_c,V_b,V_a,T_a] :
% 55.04/55.62 ( class_Orderings_Oord(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b)
% 55.04/55.62 => ( V_b = V_c
% 55.04/55.62 => c_Orderings_Oord__class_Oless(T_a,V_a,V_c) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_xt1_I2_J,axiom,
% 55.04/55.62 ! [V_c,V_a,V_b,T_a] :
% 55.04/55.62 ( class_Orderings_Oorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a)
% 55.04/55.62 => ( V_b = V_c
% 55.04/55.62 => c_Orderings_Oord__class_Oless(T_a,V_c,V_a) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_order__less__trans,axiom,
% 55.04/55.62 ! [V_z,V_y,V_x,T_a] :
% 55.04/55.62 ( class_Orderings_Opreorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_z)
% 55.04/55.62 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_xt1_I10_J,axiom,
% 55.04/55.62 ! [V_z,V_x,V_y,T_a] :
% 55.04/55.62 ( class_Orderings_Oorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_x)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,V_z,V_y)
% 55.04/55.62 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_order__less__asym,axiom,
% 55.04/55.62 ! [V_y,V_x,T_a] :
% 55.04/55.62 ( class_Orderings_Opreorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 55.04/55.62 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_linorder__cases,axiom,
% 55.04/55.62 ! [V_y,V_x,T_a] :
% 55.04/55.62 ( class_Orderings_Olinorder(T_a)
% 55.04/55.62 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 55.04/55.62 => ( V_x != V_y
% 55.04/55.62 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_linorder__not__less,axiom,
% 55.04/55.62 ! [V_y_2,V_x_2,T_a] :
% 55.04/55.62 ( class_Orderings_Olinorder(T_a)
% 55.04/55.62 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 55.04/55.62 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_linorder__not__le,axiom,
% 55.04/55.62 ! [V_y_2,V_x_2,T_a] :
% 55.04/55.62 ( class_Orderings_Olinorder(T_a)
% 55.04/55.62 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 55.04/55.62 <=> c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_linorder__le__less__linear,axiom,
% 55.04/55.62 ! [V_y,V_x,T_a] :
% 55.04/55.62 ( class_Orderings_Olinorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 55.04/55.62 | c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_order__less__le,axiom,
% 55.04/55.62 ! [V_y_2,V_x_2,T_a] :
% 55.04/55.62 ( class_Orderings_Oorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 55.04/55.62 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 55.04/55.62 & V_x_2 != V_y_2 ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_less__le__not__le,axiom,
% 55.04/55.62 ! [V_y_2,V_x_2,T_a] :
% 55.04/55.62 ( class_Orderings_Opreorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 55.04/55.62 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 55.04/55.62 & ~ c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_order__le__less,axiom,
% 55.04/55.62 ! [V_y_2,V_x_2,T_a] :
% 55.04/55.62 ( class_Orderings_Oorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 55.04/55.62 <=> ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 55.04/55.62 | V_x_2 = V_y_2 ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_leI,axiom,
% 55.04/55.62 ! [V_y,V_x,T_a] :
% 55.04/55.62 ( class_Orderings_Olinorder(T_a)
% 55.04/55.62 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_not__leE,axiom,
% 55.04/55.62 ! [V_x,V_y,T_a] :
% 55.04/55.62 ( class_Orderings_Olinorder(T_a)
% 55.04/55.62 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 55.04/55.62 => c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_linorder__antisym__conv1,axiom,
% 55.04/55.62 ! [V_y_2,V_x_2,T_a] :
% 55.04/55.62 ( class_Orderings_Olinorder(T_a)
% 55.04/55.62 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 55.04/55.62 <=> V_x_2 = V_y_2 ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_order__neq__le__trans,axiom,
% 55.04/55.62 ! [V_b,V_a,T_a] :
% 55.04/55.62 ( class_Orderings_Oorder(T_a)
% 55.04/55.62 => ( V_a != V_b
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 55.04/55.62 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_xt1_I12_J,axiom,
% 55.04/55.62 ! [V_b,V_a,T_a] :
% 55.04/55.62 ( class_Orderings_Oorder(T_a)
% 55.04/55.62 => ( V_a != V_b
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 55.04/55.62 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_leD,axiom,
% 55.04/55.62 ! [V_x,V_y,T_a] :
% 55.04/55.62 ( class_Orderings_Olinorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 55.04/55.62 => ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_order__less__imp__le,axiom,
% 55.04/55.62 ! [V_y,V_x,T_a] :
% 55.04/55.62 ( class_Orderings_Opreorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_linorder__antisym__conv2,axiom,
% 55.04/55.62 ! [V_y_2,V_x_2,T_a] :
% 55.04/55.62 ( class_Orderings_Olinorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2)
% 55.04/55.62 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)
% 55.04/55.62 <=> V_x_2 = V_y_2 ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_order__le__imp__less__or__eq,axiom,
% 55.04/55.62 ! [V_y,V_x,T_a] :
% 55.04/55.62 ( class_Orderings_Oorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 55.04/55.62 | V_x = V_y ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_order__le__neq__trans,axiom,
% 55.04/55.62 ! [V_b,V_a,T_a] :
% 55.04/55.62 ( class_Orderings_Oorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b)
% 55.04/55.62 => ( V_a != V_b
% 55.04/55.62 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_xt1_I11_J,axiom,
% 55.04/55.62 ! [V_a,V_b,T_a] :
% 55.04/55.62 ( class_Orderings_Oorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a)
% 55.04/55.62 => ( V_a != V_b
% 55.04/55.62 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_order__less__le__trans,axiom,
% 55.04/55.62 ! [V_z,V_y,V_x,T_a] :
% 55.04/55.62 ( class_Orderings_Opreorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_z)
% 55.04/55.62 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_xt1_I7_J,axiom,
% 55.04/55.62 ! [V_z,V_x,V_y,T_a] :
% 55.04/55.62 ( class_Orderings_Oorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_x)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_y)
% 55.04/55.62 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_order__le__less__trans,axiom,
% 55.04/55.62 ! [V_z,V_y,V_x,T_a] :
% 55.04/55.62 ( class_Orderings_Opreorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_z)
% 55.04/55.62 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_xt1_I8_J,axiom,
% 55.04/55.62 ! [V_z,V_x,V_y,T_a] :
% 55.04/55.62 ( class_Orderings_Oorder(T_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(T_a,V_z,V_y)
% 55.04/55.62 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 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,
% 55.04/55.62 ? [B_k,B_a] :
% 55.04/55.62 ( B_a != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 55.04/55.62 & B_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 55.04/55.62 & ? [B_q] :
% 55.04/55.62 ( 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____))
% 55.04/55.62 & ! [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))) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_natceiling__add__one,axiom,
% 55.04/55.62 ! [V_x] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_less__fun__def,axiom,
% 55.04/55.62 ! [V_g_2,V_f_2,T_a,T_b] :
% 55.04/55.62 ( class_Orderings_Oord(T_b)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 55.04/55.62 <=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2)
% 55.04/55.62 & ~ c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_g_2,V_f_2) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_natceiling__zero,axiom,
% 55.04/55.62 c_RComplete_Onatceiling(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zero__le__natceiling,axiom,
% 55.04/55.62 ! [V_x] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatceiling(V_x)) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_natceiling__mono,axiom,
% 55.04/55.62 ! [V_y,V_x] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,V_y)
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),c_RComplete_Onatceiling(V_y)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_natceiling__one,axiom,
% 55.04/55.62 c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_natceiling__neg,axiom,
% 55.04/55.62 ! [V_x] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 55.04/55.62 => c_RComplete_Onatceiling(V_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_natceiling__le__eq__one,axiom,
% 55.04/55.62 ! [V_x_2] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(V_x_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 55.04/55.62 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_power__power__power,axiom,
% 55.04/55.62 ! [T_a] :
% 55.04/55.62 ( class_Power_Opower(T_a)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_of__real_Ononneg__bounded,axiom,
% 55.04/55.62 ! [T_a] :
% 55.04/55.62 ( ( class_RealVector_Oreal__algebra__1(T_a)
% 55.04/55.62 & class_RealVector_Oreal__normed__vector(T_a) )
% 55.04/55.62 => ? [B_K] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K)
% 55.04/55.62 & ! [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)) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_power_Opower_Opower__0,axiom,
% 55.04/55.62 ! [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 ).
% 55.04/55.62
% 55.04/55.62 fof(fact_lemmaCauchy,axiom,
% 55.04/55.62 ! [V_X_2,V_M_2,T_a,T_b] :
% 55.04/55.62 ( ( class_RealVector_Oreal__normed__vector(T_b)
% 55.04/55.62 & class_Orderings_Oord(T_a) )
% 55.04/55.62 => ( ! [B_n] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless__eq(T_a,V_M_2,B_n)
% 55.04/55.62 => 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)) )
% 55.04/55.62 => ! [B_n] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless__eq(T_a,V_M_2,B_n)
% 55.04/55.62 => 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)))) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_mult_Opos__bounded,axiom,
% 55.04/55.62 ! [T_a] :
% 55.04/55.62 ( class_RealVector_Oreal__normed__algebra(T_a)
% 55.04/55.62 => ? [B_K] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K)
% 55.04/55.62 & ! [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)) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_mult__left_Opos__bounded,axiom,
% 55.04/55.62 ! [V_y,T_a] :
% 55.04/55.62 ( class_RealVector_Oreal__normed__algebra(T_a)
% 55.04/55.62 => ? [B_K] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K)
% 55.04/55.62 & ! [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)) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_mult__right_Opos__bounded,axiom,
% 55.04/55.62 ! [V_x,T_a] :
% 55.04/55.62 ( class_RealVector_Oreal__normed__algebra(T_a)
% 55.04/55.62 => ? [B_K] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K)
% 55.04/55.62 & ! [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)) ) ) ).
% 55.04/55.62
% 55.04/55.62 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,
% 55.04/55.62 ~ ! [B_q] :
% 55.04/55.62 ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,B_q) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____)
% 55.04/55.62 => ~ ! [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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_natfloor__add__one,axiom,
% 55.04/55.62 ! [V_x] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_natfloor__one,axiom,
% 55.04/55.62 c_RComplete_Onatfloor(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_natfloor__zero,axiom,
% 55.04/55.62 c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_natfloor__mono,axiom,
% 55.04/55.62 ! [V_y,V_x] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,V_y)
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),c_RComplete_Onatfloor(V_y)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_zero__le__natfloor,axiom,
% 55.04/55.62 ! [V_x] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatfloor(V_x)) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_natfloor__neg,axiom,
% 55.04/55.62 ! [V_x] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
% 55.04/55.62 => c_RComplete_Onatfloor(V_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_le__natfloor__eq__one,axiom,
% 55.04/55.62 ! [V_x_2] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(V_x_2))
% 55.04/55.62 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x_2) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_le__mult__natfloor,axiom,
% 55.04/55.62 ! [V_b,V_a] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_b)
% 55.04/55.62 => 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))) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_tsub__def,axiom,
% 55.04/55.62 ! [V_x,V_y] :
% 55.04/55.62 ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x)
% 55.04/55.62 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_y) )
% 55.04/55.62 & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x)
% 55.04/55.62 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_termination__basic__simps_I3_J,axiom,
% 55.04/55.62 ! [V_z,V_y,V_x] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_y)
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 55.04/55.62 ! [V_y,V_x] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)
% 55.04/55.62 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)
% 55.04/55.62 => 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)) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_tsub__eq,axiom,
% 55.04/55.62 ! [V_x,V_y] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x)
% 55.04/55.62 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_y) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_termination__basic__simps_I1_J,axiom,
% 55.04/55.62 ! [V_z,V_y,V_x] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)
% 55.04/55.62 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_termination__basic__simps_I2_J,axiom,
% 55.04/55.62 ! [V_y,V_z,V_x] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_z)
% 55.04/55.62 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_termination__basic__simps_I5_J,axiom,
% 55.04/55.62 ! [V_y,V_x] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_y) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_termination__basic__simps_I4_J,axiom,
% 55.04/55.62 ! [V_y,V_z,V_x] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_z)
% 55.04/55.62 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_natceiling__eq,axiom,
% 55.04/55.62 ! [V_x,V_n] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),V_x)
% 55.04/55.62 => ( 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)))
% 55.04/55.62 => c_RComplete_Onatceiling(V_x) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_pos__poly__pCons,axiom,
% 55.04/55.62 ! [V_pb_2,V_aa_2,T_a] :
% 55.04/55.62 ( class_Rings_Olinordered__idom(T_a)
% 55.04/55.62 => ( c_Polynomial_Opos__poly(T_a,c_Polynomial_OpCons(T_a,V_aa_2,V_pb_2))
% 55.04/55.62 <=> ( c_Polynomial_Opos__poly(T_a,V_pb_2)
% 55.04/55.62 | ( V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 55.04/55.62 & c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_real__of__nat__ge__zero,axiom,
% 55.04/55.62 ! [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)) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_real__of__nat__diff,axiom,
% 55.04/55.62 ! [V_m,V_n] :
% 55.04/55.62 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m)
% 55.04/55.62 => 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)) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_real__of__nat__less__iff,axiom,
% 55.04/55.62 ! [V_ma_2,V_n_2] :
% 55.04/55.62 ( 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))
% 55.04/55.62 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_not__real__of__nat__less__zero,axiom,
% 55.04/55.62 ! [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)) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_real__of__nat__power,axiom,
% 55.04/55.62 ! [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) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_power__real__of__nat,axiom,
% 55.04/55.62 ! [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)) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_real__of__nat__zero,axiom,
% 55.04/55.62 c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_real__of__nat__zero__iff,axiom,
% 55.04/55.62 ! [V_n_2] :
% 55.04/55.62 ( c_RealDef_Oreal(tc_Nat_Onat,V_n_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 55.04/55.62 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_real__of__nat__mult,axiom,
% 55.04/55.62 ! [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)) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_not__pos__poly__0,axiom,
% 55.04/55.62 ! [T_a] :
% 55.04/55.62 ( class_Rings_Olinordered__idom(T_a)
% 55.04/55.62 => ~ c_Polynomial_Opos__poly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_abs__real__of__nat__cancel,axiom,
% 55.04/55.62 ! [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) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_pos__poly__mult,axiom,
% 55.04/55.62 ! [V_q,V_p,T_a] :
% 55.04/55.62 ( class_Rings_Olinordered__idom(T_a)
% 55.04/55.62 => ( c_Polynomial_Opos__poly(T_a,V_p)
% 55.04/55.62 => ( c_Polynomial_Opos__poly(T_a,V_q)
% 55.04/55.62 => c_Polynomial_Opos__poly(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q)) ) ) ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_real__of__nat__inject,axiom,
% 55.04/55.62 ! [V_ma_2,V_n_2] :
% 55.04/55.62 ( c_RealDef_Oreal(tc_Nat_Onat,V_n_2) = c_RealDef_Oreal(tc_Nat_Onat,V_ma_2)
% 55.04/55.62 <=> V_n_2 = V_ma_2 ) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_real__of__nat__add,axiom,
% 55.04/55.62 ! [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)) ).
% 55.04/55.62
% 55.04/55.62 fof(fact_real__of__nat__1,axiom,
% 55.04/55.63 c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_pos__poly__add,axiom,
% 55.04/55.63 ! [V_q,V_p,T_a] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_a)
% 55.04/55.63 => ( c_Polynomial_Opos__poly(T_a,V_p)
% 55.04/55.63 => ( c_Polynomial_Opos__poly(T_a,V_q)
% 55.04/55.63 => c_Polynomial_Opos__poly(T_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)) ) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_real__of__nat__le__zero__cancel__iff,axiom,
% 55.04/55.63 ! [V_n_2] :
% 55.04/55.63 ( 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))
% 55.04/55.63 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_real__natceiling__ge,axiom,
% 55.04/55.63 ! [V_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(V_x))) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_real__of__nat__le__iff,axiom,
% 55.04/55.63 ! [V_ma_2,V_n_2] :
% 55.04/55.63 ( 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))
% 55.04/55.63 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,V_ma_2) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_less__eq__poly__def,axiom,
% 55.04/55.63 ! [V_y_2,V_x_2,T_a] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_a)
% 55.04/55.63 => ( c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(T_a),V_x_2,V_y_2)
% 55.04/55.63 <=> ( V_x_2 = V_y_2
% 55.04/55.63 | c_Polynomial_Opos__poly(T_a,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_y_2,V_x_2)) ) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_natceiling__real__of__nat,axiom,
% 55.04/55.63 ! [V_n] : c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,V_n)) = V_n ).
% 55.04/55.63
% 55.04/55.63 fof(fact_natfloor__real__of__nat,axiom,
% 55.04/55.63 ! [V_n] : c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,V_n)) = V_n ).
% 55.04/55.63
% 55.04/55.63 fof(fact_real__natfloor__le,axiom,
% 55.04/55.63 ! [V_x] :
% 55.04/55.63 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 55.04/55.63 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x)),V_x) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_le__natfloor,axiom,
% 55.04/55.63 ! [V_a,V_x] :
% 55.04/55.63 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_x),V_a)
% 55.04/55.63 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_RComplete_Onatfloor(V_a)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_natceiling__le,axiom,
% 55.04/55.63 ! [V_a,V_x] :
% 55.04/55.63 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a))
% 55.04/55.63 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),V_a) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_natfloor__power,axiom,
% 55.04/55.63 ! [V_n,V_x] :
% 55.04/55.63 ( V_x = c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x))
% 55.04/55.63 => 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) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_real__of__nat__gt__zero__cancel__iff,axiom,
% 55.04/55.63 ! [V_n_2] :
% 55.04/55.63 ( 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))
% 55.04/55.63 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_nat__less__real__le,axiom,
% 55.04/55.63 ! [V_ma_2,V_n_2] :
% 55.04/55.63 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2)
% 55.04/55.63 <=> 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)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_nat__le__real__less,axiom,
% 55.04/55.63 ! [V_ma_2,V_n_2] :
% 55.04/55.63 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,V_ma_2)
% 55.04/55.63 <=> 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))) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_le__natfloor__eq,axiom,
% 55.04/55.63 ! [V_aa_2,V_x_2] :
% 55.04/55.63 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2)
% 55.04/55.63 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_aa_2,c_RComplete_Onatfloor(V_x_2))
% 55.04/55.63 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_aa_2),V_x_2) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_pos__poly__total,axiom,
% 55.04/55.63 ! [V_p,T_a] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_a)
% 55.04/55.63 => ( V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 55.04/55.63 | c_Polynomial_Opos__poly(T_a,V_p)
% 55.04/55.63 | c_Polynomial_Opos__poly(T_a,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_p)) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_natceiling__le__eq,axiom,
% 55.04/55.63 ! [V_aa_2,V_x_2] :
% 55.04/55.63 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2)
% 55.04/55.63 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(V_x_2),V_aa_2)
% 55.04/55.63 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,c_RealDef_Oreal(tc_Nat_Onat,V_aa_2)) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_real__natfloor__add__one__gt,axiom,
% 55.04/55.63 ! [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))) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_natfloor__subtract,axiom,
% 55.04/55.63 ! [V_x,V_a] :
% 55.04/55.63 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a),V_x)
% 55.04/55.63 => 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) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_real__natfloor__gt__diff__one,axiom,
% 55.04/55.63 ! [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))) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_natceiling__subtract,axiom,
% 55.04/55.63 ! [V_x,V_a] :
% 55.04/55.63 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a),V_x)
% 55.04/55.63 => 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) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_less__natfloor,axiom,
% 55.04/55.63 ! [V_n,V_x] :
% 55.04/55.63 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 55.04/55.63 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_n))
% 55.04/55.63 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),V_n) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_natfloor__add,axiom,
% 55.04/55.63 ! [V_a,V_x] :
% 55.04/55.63 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 55.04/55.63 => 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) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_ge__natfloor__plus__one__imp__gt,axiom,
% 55.04/55.63 ! [V_n,V_z] :
% 55.04/55.63 ( 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)
% 55.04/55.63 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_z,c_RealDef_Oreal(tc_Nat_Onat,V_n)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_natfloor__eq,axiom,
% 55.04/55.63 ! [V_x,V_n] :
% 55.04/55.63 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),V_x)
% 55.04/55.63 => ( 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)))
% 55.04/55.63 => c_RComplete_Onatfloor(V_x) = V_n ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_natceiling__add,axiom,
% 55.04/55.63 ! [V_a,V_x] :
% 55.04/55.63 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 55.04/55.63 => 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) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_less__poly__def,axiom,
% 55.04/55.63 ! [V_y_2,V_x_2,T_a] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_a)
% 55.04/55.63 => ( c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),V_x_2,V_y_2)
% 55.04/55.63 <=> c_Polynomial_Opos__poly(T_a,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_y_2,V_x_2)) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_LIMSEQ__inverse__realpow__zero__lemma,axiom,
% 55.04/55.63 ! [V_n,V_x] :
% 55.04/55.63 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)
% 55.04/55.63 => 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)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_reals__Archimedean6,axiom,
% 55.04/55.63 ! [V_r] :
% 55.04/55.63 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_r)
% 55.04/55.63 => ? [B_n] :
% 55.04/55.63 ( 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)
% 55.04/55.63 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_RealDef_Oreal(tc_Nat_Onat,B_n)) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_Limits_Ominus__diff__minus,axiom,
% 55.04/55.63 ! [V_b,V_a,T_a] :
% 55.04/55.63 ( class_Groups_Oab__group__add(T_a)
% 55.04/55.63 => 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)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_decseq__def,axiom,
% 55.04/55.63 ! [V_X_2,T_a] :
% 55.04/55.63 ( class_Orderings_Oorder(T_a)
% 55.04/55.63 => ( c_SEQ_Odecseq(T_a,V_X_2)
% 55.04/55.63 <=> ! [B_m,B_n] :
% 55.04/55.63 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_m,B_n)
% 55.04/55.63 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(V_X_2,B_n),hAPP(V_X_2,B_m)) ) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_poly__cont,axiom,
% 55.04/55.63 ! [V_p,V_z,V_e] :
% 55.04/55.63 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_e)
% 55.04/55.63 => ? [B_d] :
% 55.04/55.63 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_d)
% 55.04/55.63 & ! [B_w] :
% 55.04/55.63 ( ( 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)))
% 55.04/55.63 & 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) )
% 55.04/55.63 => 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) ) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_compl__mono,axiom,
% 55.04/55.63 ! [V_y,V_x,T_a] :
% 55.04/55.63 ( class_Lattices_Oboolean__algebra(T_a)
% 55.04/55.63 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y)
% 55.04/55.63 => 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)) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_compl__le__compl__iff,axiom,
% 55.04/55.63 ! [V_y_2,V_x_2,T_a] :
% 55.04/55.63 ( class_Lattices_Oboolean__algebra(T_a)
% 55.04/55.63 => ( 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))
% 55.04/55.63 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_minus__apply,axiom,
% 55.04/55.63 ! [V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 55.04/55.63 ( class_Groups_Ominus(T_a)
% 55.04/55.63 => 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)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_mult__left__idem,axiom,
% 55.04/55.63 ! [V_b,V_a,T_a] :
% 55.04/55.63 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 55.04/55.63 => 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) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_mult__idem,axiom,
% 55.04/55.63 ! [V_x,T_a] :
% 55.04/55.63 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 55.04/55.63 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_times_Oidem,axiom,
% 55.04/55.63 ! [V_a,T_a] :
% 55.04/55.63 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 55.04/55.63 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_compl__eq__compl__iff,axiom,
% 55.04/55.63 ! [V_y_2,V_x_2,T_a] :
% 55.04/55.63 ( class_Lattices_Oboolean__algebra(T_a)
% 55.04/55.63 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_x_2) = c_Groups_Ouminus__class_Ouminus(T_a,V_y_2)
% 55.04/55.63 <=> V_x_2 = V_y_2 ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_uminus__apply,axiom,
% 55.04/55.63 ! [V_x_2,V_A_2,T_b,T_a] :
% 55.04/55.63 ( class_Groups_Ouminus(T_a)
% 55.04/55.63 => 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)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_double__compl,axiom,
% 55.04/55.63 ! [V_x,T_a] :
% 55.04/55.63 ( class_Lattices_Oboolean__algebra(T_a)
% 55.04/55.63 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x)) = V_x ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_of__real_Obounded,axiom,
% 55.04/55.63 ! [T_a] :
% 55.04/55.63 ( ( class_RealVector_Oreal__algebra__1(T_a)
% 55.04/55.63 & class_RealVector_Oreal__normed__vector(T_a) )
% 55.04/55.63 => ? [B_K] :
% 55.04/55.63 ! [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)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_sgn__poly__def,axiom,
% 55.04/55.63 ! [V_x,T_a] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_a)
% 55.04/55.63 => ( ( V_x = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 55.04/55.63 => c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(T_a),V_x) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) )
% 55.04/55.63 & ( V_x != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
% 55.04/55.63 => ( ( c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x)
% 55.04/55.63 => c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(T_a),V_x) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a)) )
% 55.04/55.63 & ( ~ c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x)
% 55.04/55.63 => 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))) ) ) ) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_sgn__less,axiom,
% 55.04/55.63 ! [V_aa_2,T_a] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_a)
% 55.04/55.63 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Osgn__class_Osgn(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))
% 55.04/55.63 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_sgn__greater,axiom,
% 55.04/55.63 ! [V_aa_2,T_a] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_a)
% 55.04/55.63 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Osgn__class_Osgn(T_a,V_aa_2))
% 55.04/55.63 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_mult__sgn__abs,axiom,
% 55.04/55.63 ! [V_x,T_a] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_a)
% 55.04/55.63 => 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 ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_abs__sgn,axiom,
% 55.04/55.63 ! [V_k,T_a] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_a)
% 55.04/55.63 => 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)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_sgn__zero__iff,axiom,
% 55.04/55.63 ! [V_x_2,T_a] :
% 55.04/55.63 ( class_RealVector_Oreal__normed__vector(T_a)
% 55.04/55.63 => ( c_Groups_Osgn__class_Osgn(T_a,V_x_2) = c_Groups_Ozero__class_Ozero(T_a)
% 55.04/55.63 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_sgn__zero,axiom,
% 55.04/55.63 ! [T_a] :
% 55.04/55.63 ( class_RealVector_Oreal__normed__vector(T_a)
% 55.04/55.63 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_sgn__0__0,axiom,
% 55.04/55.63 ! [V_aa_2,T_a] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_a)
% 55.04/55.63 => ( c_Groups_Osgn__class_Osgn(T_a,V_aa_2) = c_Groups_Ozero__class_Ozero(T_a)
% 55.04/55.63 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_sgn__times,axiom,
% 55.04/55.63 ! [V_b,V_a,T_a] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_a)
% 55.04/55.63 => 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)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_sgn__mult,axiom,
% 55.04/55.63 ! [V_y,V_x,T_a] :
% 55.04/55.63 ( class_RealVector_Oreal__normed__div__algebra(T_a)
% 55.04/55.63 => 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)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_sgn0,axiom,
% 55.04/55.63 ! [T_a] :
% 55.04/55.63 ( class_Groups_Osgn__if(T_a)
% 55.04/55.63 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_sgn__sgn,axiom,
% 55.04/55.63 ! [V_a,T_a] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_a)
% 55.04/55.63 => 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) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_sgn__of__real,axiom,
% 55.04/55.63 ! [V_r,T_a] :
% 55.04/55.63 ( class_RealVector_Oreal__normed__algebra__1(T_a)
% 55.04/55.63 => 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)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_sgn__one,axiom,
% 55.04/55.63 ! [T_a] :
% 55.04/55.63 ( class_RealVector_Oreal__normed__algebra__1(T_a)
% 55.04/55.63 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_sgn__minus,axiom,
% 55.04/55.63 ! [V_x,T_a] :
% 55.04/55.63 ( class_RealVector_Oreal__normed__vector(T_a)
% 55.04/55.63 => 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)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_sgn__pos,axiom,
% 55.04/55.63 ! [V_a,T_a] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_a)
% 55.04/55.63 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)
% 55.04/55.63 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_sgn__1__pos,axiom,
% 55.04/55.63 ! [V_aa_2,T_a] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_a)
% 55.04/55.63 => ( c_Groups_Osgn__class_Osgn(T_a,V_aa_2) = c_Groups_Oone__class_Oone(T_a)
% 55.04/55.63 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_sgn__neg,axiom,
% 55.04/55.63 ! [V_a,T_a] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_a)
% 55.04/55.63 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))
% 55.04/55.63 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_sgn__1__neg,axiom,
% 55.04/55.63 ! [V_aa_2,T_a] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_a)
% 55.04/55.63 => ( c_Groups_Osgn__class_Osgn(T_a,V_aa_2) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a))
% 55.04/55.63 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_sgn__if,axiom,
% 55.04/55.63 ! [V_x,T_a] :
% 55.04/55.63 ( class_Groups_Osgn__if(T_a)
% 55.04/55.63 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 55.04/55.63 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 55.04/55.63 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 55.04/55.63 => ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 55.04/55.63 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 55.04/55.63 & ( ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)
% 55.04/55.63 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_norm__sgn,axiom,
% 55.04/55.63 ! [V_x,T_a] :
% 55.04/55.63 ( class_RealVector_Oreal__normed__vector(T_a)
% 55.04/55.63 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 55.04/55.63 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Osgn__class_Osgn(T_a,V_x)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
% 55.04/55.63 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 55.04/55.63 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Osgn__class_Osgn(T_a,V_x)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_order__1,axiom,
% 55.04/55.63 ! [V_p,V_a,T_a] :
% 55.04/55.63 ( class_Rings_Oidom(T_a)
% 55.04/55.63 => 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) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_offset__poly__pCons,axiom,
% 55.04/55.63 ! [V_h,V_p,V_a,T_a] :
% 55.04/55.63 ( class_Rings_Ocomm__semiring__0(T_a)
% 55.04/55.63 => 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))) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_dvd__0__right,axiom,
% 55.04/55.63 ! [V_a,T_a] :
% 55.04/55.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.63 => c_Rings_Odvd__class_Odvd(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_minus__dvd__iff,axiom,
% 55.04/55.63 ! [V_y_2,V_x_2,T_a] :
% 55.04/55.63 ( class_Rings_Ocomm__ring__1(T_a)
% 55.04/55.63 => ( c_Rings_Odvd__class_Odvd(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x_2),V_y_2)
% 55.04/55.63 <=> c_Rings_Odvd__class_Odvd(T_a,V_x_2,V_y_2) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_dvd__minus__iff,axiom,
% 55.04/55.63 ! [V_y_2,V_x_2,T_a] :
% 55.04/55.63 ( class_Rings_Ocomm__ring__1(T_a)
% 55.04/55.63 => ( c_Rings_Odvd__class_Odvd(T_a,V_x_2,c_Groups_Ouminus__class_Ouminus(T_a,V_y_2))
% 55.04/55.63 <=> c_Rings_Odvd__class_Odvd(T_a,V_x_2,V_y_2) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_dvd__diff,axiom,
% 55.04/55.63 ! [V_z,V_y,V_x,T_a] :
% 55.04/55.63 ( class_Rings_Ocomm__ring__1(T_a)
% 55.04/55.63 => ( c_Rings_Odvd__class_Odvd(T_a,V_x,V_y)
% 55.04/55.63 => ( c_Rings_Odvd__class_Odvd(T_a,V_x,V_z)
% 55.04/55.63 => c_Rings_Odvd__class_Odvd(T_a,V_x,c_Groups_Ominus__class_Ominus(T_a,V_y,V_z)) ) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_inf__period_I4_J,axiom,
% 55.04/55.63 ! [V_ta_2,V_D_2,V_d_2,T_a] :
% 55.04/55.63 ( ( class_Rings_Ocomm__ring(T_a)
% 55.04/55.63 & class_Rings_Odvd(T_a) )
% 55.04/55.63 => ( c_Rings_Odvd__class_Odvd(T_a,V_d_2,V_D_2)
% 55.04/55.63 => ! [B_x,B_k] :
% 55.04/55.63 ( c_Rings_Odvd__class_Odvd(T_a,V_d_2,c_Groups_Oplus__class_Oplus(T_a,B_x,V_ta_2))
% 55.04/55.63 <=> 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)) ) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_inf__period_I3_J,axiom,
% 55.04/55.63 ! [V_ta_2,V_D_2,V_d_2,T_a] :
% 55.04/55.63 ( ( class_Rings_Ocomm__ring(T_a)
% 55.04/55.63 & class_Rings_Odvd(T_a) )
% 55.04/55.63 => ( c_Rings_Odvd__class_Odvd(T_a,V_d_2,V_D_2)
% 55.04/55.63 => ! [B_x,B_k] :
% 55.04/55.63 ( c_Rings_Odvd__class_Odvd(T_a,V_d_2,c_Groups_Oplus__class_Oplus(T_a,B_x,V_ta_2))
% 55.04/55.63 <=> 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)) ) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_unity__coeff__ex,axiom,
% 55.04/55.63 ! [V_l_2,V_P_2,T_a] :
% 55.04/55.63 ( ( class_Rings_Odvd(T_a)
% 55.04/55.63 & class_Rings_Osemiring__0(T_a) )
% 55.04/55.63 => ( ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_l_2),B_x)))
% 55.04/55.63 <=> ? [B_x] :
% 55.04/55.63 ( 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)))
% 55.04/55.63 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_one__dvd,axiom,
% 55.04/55.63 ! [V_a,T_a] :
% 55.04/55.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.63 => c_Rings_Odvd__class_Odvd(T_a,c_Groups_Oone__class_Oone(T_a),V_a) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_dvd__add,axiom,
% 55.04/55.63 ! [V_c,V_b,V_a,T_a] :
% 55.04/55.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.63 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_b)
% 55.04/55.63 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_c)
% 55.04/55.63 => c_Rings_Odvd__class_Odvd(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) ) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_offset__poly__eq__0__iff,axiom,
% 55.04/55.63 ! [V_h_2,V_pb_2,T_a] :
% 55.04/55.63 ( class_Rings_Ocomm__semiring__0(T_a)
% 55.04/55.63 => ( 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))
% 55.04/55.63 <=> V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_offset__poly__0,axiom,
% 55.04/55.63 ! [V_h,T_a] :
% 55.04/55.63 ( class_Rings_Ocomm__semiring__0(T_a)
% 55.04/55.63 => 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)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_smult__dvd__cancel,axiom,
% 55.04/55.63 ! [V_q,V_p,V_a,T_a] :
% 55.04/55.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.63 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),V_q)
% 55.04/55.63 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,V_q) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_dvd__smult,axiom,
% 55.04/55.63 ! [V_a,V_q,V_p,T_a] :
% 55.04/55.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.63 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,V_q)
% 55.04/55.63 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,c_Polynomial_Osmult(T_a,V_a,V_q)) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_dvd__refl,axiom,
% 55.04/55.63 ! [V_a,T_a] :
% 55.04/55.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.63 => c_Rings_Odvd__class_Odvd(T_a,V_a,V_a) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_dvd__trans,axiom,
% 55.04/55.63 ! [V_c,V_b,V_a,T_a] :
% 55.04/55.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.63 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_b)
% 55.04/55.63 => ( c_Rings_Odvd__class_Odvd(T_a,V_b,V_c)
% 55.04/55.63 => c_Rings_Odvd__class_Odvd(T_a,V_a,V_c) ) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_dvd__abs__iff,axiom,
% 55.04/55.63 ! [V_ka_2,V_ma_2,T_a] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_a)
% 55.04/55.63 => ( c_Rings_Odvd__class_Odvd(T_a,V_ma_2,c_Groups_Oabs__class_Oabs(T_a,V_ka_2))
% 55.04/55.63 <=> c_Rings_Odvd__class_Odvd(T_a,V_ma_2,V_ka_2) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_abs__dvd__iff,axiom,
% 55.04/55.63 ! [V_ka_2,V_ma_2,T_a] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_a)
% 55.04/55.63 => ( c_Rings_Odvd__class_Odvd(T_a,c_Groups_Oabs__class_Oabs(T_a,V_ma_2),V_ka_2)
% 55.04/55.63 <=> c_Rings_Odvd__class_Odvd(T_a,V_ma_2,V_ka_2) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_dvd__if__abs__eq,axiom,
% 55.04/55.63 ! [V_k,V_l,T_a] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_a)
% 55.04/55.63 => ( c_Groups_Oabs__class_Oabs(T_a,V_l) = c_Groups_Oabs__class_Oabs(T_a,V_k)
% 55.04/55.63 => c_Rings_Odvd__class_Odvd(T_a,V_l,V_k) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_dvd__power__same,axiom,
% 55.04/55.63 ! [V_n,V_y,V_x,T_a] :
% 55.04/55.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.63 => ( c_Rings_Odvd__class_Odvd(T_a,V_x,V_y)
% 55.04/55.63 => 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)) ) ) ).
% 55.04/55.63
% 55.04/55.63 fof(fact_dvd__mult__right,axiom,
% 55.04/55.63 ! [V_c,V_b,V_a,T_a] :
% 55.04/55.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 55.04/55.63 => ( c_Rings_Odvd__class_Odvd(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c)
% 55.04/55.63 => c_Rings_Odvd__class_Odvd(T_a,V_b,V_c) ) ) ).
% 55.04/55.63
% 55.04/55.63 %----Arity declarations (289)
% 55.04/55.63 fof(arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Groups_Ocancel__comm__monoid__add(T_1)
% 55.04/55.63 => class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Groups_Ocancel__comm__monoid__add,axiom,
% 55.04/55.63 class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Groups_Ocancel__comm__monoid__add,axiom,
% 55.04/55.63 class_Groups_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Groups_Ocancel__comm__monoid__add,axiom,
% 55.04/55.63 class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Groups_Ocancel__comm__monoid__add,axiom,
% 55.04/55.63 class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 55.04/55.63 ! [T_2,T_1] :
% 55.04/55.63 ( class_Lattices_Oboolean__algebra(T_1)
% 55.04/55.63 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_fun__Orderings_Opreorder,axiom,
% 55.04/55.63 ! [T_2,T_1] :
% 55.04/55.63 ( class_Orderings_Opreorder(T_1)
% 55.04/55.63 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_fun__Orderings_Oorder,axiom,
% 55.04/55.63 ! [T_2,T_1] :
% 55.04/55.63 ( class_Orderings_Oorder(T_1)
% 55.04/55.63 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_fun__Orderings_Oord,axiom,
% 55.04/55.63 ! [T_2,T_1] :
% 55.04/55.63 ( class_Orderings_Oord(T_1)
% 55.04/55.63 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_fun__Groups_Ouminus,axiom,
% 55.04/55.63 ! [T_2,T_1] :
% 55.04/55.63 ( class_Groups_Ouminus(T_1)
% 55.04/55.63 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_fun__Groups_Ominus,axiom,
% 55.04/55.63 ! [T_2,T_1] :
% 55.04/55.63 ( class_Groups_Ominus(T_1)
% 55.04/55.63 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 55.04/55.63 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 55.04/55.63 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 55.04/55.63 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 55.04/55.63 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 55.04/55.63 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 55.04/55.63 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 55.04/55.63 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
% 55.04/55.63 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 55.04/55.63 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 55.04/55.63 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 55.04/55.63 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 55.04/55.63 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 55.04/55.63 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 55.04/55.63 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 55.04/55.63 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 55.04/55.63 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 55.04/55.63 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 55.04/55.63 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 55.04/55.63 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 55.04/55.63 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 55.04/55.63 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 55.04/55.63 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 55.04/55.63 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 55.04/55.63 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 55.04/55.63 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,
% 55.04/55.63 class_Rings_Oordered__ring__abs(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 55.04/55.63 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 55.04/55.63 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 55.04/55.63 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 55.04/55.63 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 55.04/55.63 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Ocomm__semiring__0,axiom,
% 55.04/55.63 class_Rings_Ocomm__semiring__0(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 55.04/55.63 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 55.04/55.63 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 55.04/55.63 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 55.04/55.63 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 55.04/55.63 class_Orderings_Opreorder(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 55.04/55.63 class_Orderings_Olinorder(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 55.04/55.63 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 55.04/55.63 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 55.04/55.63 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 55.04/55.63 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 55.04/55.63 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 55.04/55.63 class_Rings_Omult__zero(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom,
% 55.04/55.63 class_Rings_Ocomm__ring(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 55.04/55.63 class_Orderings_Oorder(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 55.04/55.63 class_Int_Oring__char__0(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 55.04/55.63 class_Rings_Osemiring(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 55.04/55.63 class_Orderings_Oord(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 55.04/55.63 class_Groups_Ouminus(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 55.04/55.63 class_Groups_Osgn__if(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Groups_Oabs__if,axiom,
% 55.04/55.63 class_Groups_Oabs__if(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 55.04/55.63 class_Rings_Oring__1(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 55.04/55.63 class_Groups_Ominus(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Power_Opower,axiom,
% 55.04/55.63 class_Power_Opower(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 55.04/55.63 class_Groups_Ozero(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Oring,axiom,
% 55.04/55.63 class_Rings_Oring(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 55.04/55.63 class_Rings_Oidom(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Groups_Oone,axiom,
% 55.04/55.63 class_Groups_Oone(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Int__Oint__Rings_Odvd,axiom,
% 55.04/55.63 class_Rings_Odvd(tc_Int_Oint) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 55.04/55.63 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 55.04/55.63 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 55.04/55.63 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 55.04/55.63 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 55.04/55.63 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 55.04/55.63 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 55.04/55.63 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 55.04/55.63 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 55.04/55.63 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 55.04/55.63 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 55.04/55.63 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 55.04/55.63 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 55.04/55.63 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 55.04/55.63 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 55.04/55.63 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 55.04/55.63 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 55.04/55.63 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 55.04/55.63 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 55.04/55.63 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 55.04/55.63 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Rings_Ocomm__semiring__0,axiom,
% 55.04/55.63 class_Rings_Ocomm__semiring__0(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 55.04/55.63 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 55.04/55.63 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 55.04/55.63 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 55.04/55.63 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 55.04/55.63 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 55.04/55.63 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 55.04/55.63 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 55.04/55.63 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 55.04/55.63 class_Orderings_Oorder(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 55.04/55.63 class_Rings_Osemiring(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 55.04/55.63 class_Orderings_Oord(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 55.04/55.63 class_Groups_Ominus(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Power_Opower,axiom,
% 55.04/55.63 class_Power_Opower(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 55.04/55.63 class_Groups_Ozero(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 55.04/55.63 class_Groups_Oone(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Nat__Onat__Rings_Odvd,axiom,
% 55.04/55.63 class_Rings_Odvd(tc_Nat_Onat) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 55.04/55.63 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 55.04/55.63 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 55.04/55.63 class_Orderings_Oorder(tc_HOL_Obool) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 55.04/55.63 class_Orderings_Oord(tc_HOL_Obool) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 55.04/55.63 class_Groups_Ouminus(tc_HOL_Obool) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 55.04/55.63 class_Groups_Ominus(tc_HOL_Obool) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 55.04/55.63 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 55.04/55.63 class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 55.04/55.63 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict,axiom,
% 55.04/55.63 class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero,axiom,
% 55.04/55.63 class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict,axiom,
% 55.04/55.63 class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,axiom,
% 55.04/55.63 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__strict,axiom,
% 55.04/55.63 class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero,axiom,
% 55.04/55.63 class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom,
% 55.04/55.63 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add,axiom,
% 55.04/55.63 class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs,axiom,
% 55.04/55.63 class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom,
% 55.04/55.63 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add,axiom,
% 55.04/55.63 class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Groups_Olinordered__ab__group__add,axiom,
% 55.04/55.63 class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add,axiom,
% 55.04/55.63 class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors,axiom,
% 55.04/55.63 class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Oordered__cancel__semiring,axiom,
% 55.04/55.63 class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom,
% 55.04/55.63 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Olinordered__ring__strict,axiom,
% 55.04/55.63 class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Oring__no__zero__divisors,axiom,
% 55.04/55.63 class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Oordered__comm__semiring,axiom,
% 55.04/55.63 class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__1,axiom,
% 55.04/55.63 class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__RealVector_Oreal__div__algebra,axiom,
% 55.04/55.63 class_RealVector_Oreal__div__algebra(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Groups_Oordered__ab__group__add,axiom,
% 55.04/55.63 class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Groups_Ocancel__semigroup__add,axiom,
% 55.04/55.63 class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring,axiom,
% 55.04/55.63 class_Rings_Olinordered__semiring(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__RealVector_Oreal__algebra__1,axiom,
% 55.04/55.63 class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Fields_Ofield__inverse__zero,axiom,
% 55.04/55.63 class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Olinordered__semidom,axiom,
% 55.04/55.63 class_Rings_Olinordered__semidom(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Groups_Oab__semigroup__mult,axiom,
% 55.04/55.63 class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Groups_Ocomm__monoid__mult,axiom,
% 55.04/55.63 class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Groups_Oab__semigroup__add,axiom,
% 55.04/55.63 class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Fields_Olinordered__field,axiom,
% 55.04/55.63 class_Fields_Olinordered__field(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Oordered__semiring,axiom,
% 55.04/55.63 class_Rings_Oordered__semiring(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Oordered__ring__abs,axiom,
% 55.04/55.63 class_Rings_Oordered__ring__abs(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Ono__zero__divisors,axiom,
% 55.04/55.63 class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Groups_Ocomm__monoid__add,axiom,
% 55.04/55.63 class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Olinordered__ring,axiom,
% 55.04/55.63 class_Rings_Olinordered__ring(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Olinordered__idom,axiom,
% 55.04/55.63 class_Rings_Olinordered__idom(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring__1,axiom,
% 55.04/55.63 class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring__0,axiom,
% 55.04/55.63 class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Odivision__ring,axiom,
% 55.04/55.63 class_Rings_Odivision__ring(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring,axiom,
% 55.04/55.63 class_Rings_Ocomm__semiring(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Groups_Oab__group__add,axiom,
% 55.04/55.63 class_Groups_Oab__group__add(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Ozero__neq__one,axiom,
% 55.04/55.63 class_Rings_Ozero__neq__one(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Oordered__ring,axiom,
% 55.04/55.63 class_Rings_Oordered__ring(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Orderings_Opreorder,axiom,
% 55.04/55.63 class_Orderings_Opreorder(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Orderings_Olinorder,axiom,
% 55.04/55.63 class_Orderings_Olinorder(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Groups_Omonoid__mult,axiom,
% 55.04/55.63 class_Groups_Omonoid__mult(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Ocomm__ring__1,axiom,
% 55.04/55.63 class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Groups_Omonoid__add,axiom,
% 55.04/55.63 class_Groups_Omonoid__add(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Osemiring__0,axiom,
% 55.04/55.63 class_Rings_Osemiring__0(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Groups_Ogroup__add,axiom,
% 55.04/55.63 class_Groups_Ogroup__add(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Omult__zero,axiom,
% 55.04/55.63 class_Rings_Omult__zero(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Ocomm__ring,axiom,
% 55.04/55.63 class_Rings_Ocomm__ring(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Orderings_Oorder,axiom,
% 55.04/55.63 class_Orderings_Oorder(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Int_Oring__char__0,axiom,
% 55.04/55.63 class_Int_Oring__char__0(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Osemiring,axiom,
% 55.04/55.63 class_Rings_Osemiring(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Orderings_Oord,axiom,
% 55.04/55.63 class_Orderings_Oord(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Groups_Ouminus,axiom,
% 55.04/55.63 class_Groups_Ouminus(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Groups_Osgn__if,axiom,
% 55.04/55.63 class_Groups_Osgn__if(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Groups_Oabs__if,axiom,
% 55.04/55.63 class_Groups_Oabs__if(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Oring__1,axiom,
% 55.04/55.63 class_Rings_Oring__1(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Groups_Ominus,axiom,
% 55.04/55.63 class_Groups_Ominus(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Fields_Ofield,axiom,
% 55.04/55.63 class_Fields_Ofield(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Power_Opower,axiom,
% 55.04/55.63 class_Power_Opower(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Groups_Ozero,axiom,
% 55.04/55.63 class_Groups_Ozero(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Oring,axiom,
% 55.04/55.63 class_Rings_Oring(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Oidom,axiom,
% 55.04/55.63 class_Rings_Oidom(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Groups_Oone,axiom,
% 55.04/55.63 class_Groups_Oone(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_RealDef__Oreal__Rings_Odvd,axiom,
% 55.04/55.63 class_Rings_Odvd(tc_RealDef_Oreal) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 55.04/55.63 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom,
% 55.04/55.63 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero,axiom,
% 55.04/55.63 class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom,
% 55.04/55.63 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
% 55.04/55.63 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add,axiom,
% 55.04/55.63 class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors,axiom,
% 55.04/55.63 class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
% 55.04/55.63 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors,axiom,
% 55.04/55.63 class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__RealVector_Oreal__div__algebra,axiom,
% 55.04/55.63 class_RealVector_Oreal__div__algebra(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add,axiom,
% 55.04/55.63 class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__RealVector_Oreal__algebra__1,axiom,
% 55.04/55.63 class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Fields_Ofield__inverse__zero,axiom,
% 55.04/55.63 class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Groups_Oab__semigroup__mult,axiom,
% 55.04/55.63 class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult,axiom,
% 55.04/55.63 class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Groups_Oab__semigroup__add,axiom,
% 55.04/55.63 class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Rings_Ono__zero__divisors,axiom,
% 55.04/55.63 class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Groups_Ocomm__monoid__add,axiom,
% 55.04/55.63 class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,
% 55.04/55.63 class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,
% 55.04/55.63 class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Rings_Odivision__ring,axiom,
% 55.04/55.63 class_Rings_Odivision__ring(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring,axiom,
% 55.04/55.63 class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Groups_Oab__group__add,axiom,
% 55.04/55.63 class_Groups_Oab__group__add(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Rings_Ozero__neq__one,axiom,
% 55.04/55.63 class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Groups_Omonoid__mult,axiom,
% 55.04/55.63 class_Groups_Omonoid__mult(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Rings_Ocomm__ring__1,axiom,
% 55.04/55.63 class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Groups_Omonoid__add,axiom,
% 55.04/55.63 class_Groups_Omonoid__add(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Rings_Osemiring__0,axiom,
% 55.04/55.63 class_Rings_Osemiring__0(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Groups_Ogroup__add,axiom,
% 55.04/55.63 class_Groups_Ogroup__add(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Rings_Omult__zero,axiom,
% 55.04/55.63 class_Rings_Omult__zero(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Rings_Ocomm__ring,axiom,
% 55.04/55.63 class_Rings_Ocomm__ring(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Int_Oring__char__0,axiom,
% 55.04/55.63 class_Int_Oring__char__0(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Rings_Osemiring,axiom,
% 55.04/55.63 class_Rings_Osemiring(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Groups_Ouminus,axiom,
% 55.04/55.63 class_Groups_Ouminus(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Rings_Oring__1,axiom,
% 55.04/55.63 class_Rings_Oring__1(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Groups_Ominus,axiom,
% 55.04/55.63 class_Groups_Ominus(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Fields_Ofield,axiom,
% 55.04/55.63 class_Fields_Ofield(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Power_Opower,axiom,
% 55.04/55.63 class_Power_Opower(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Groups_Ozero,axiom,
% 55.04/55.63 class_Groups_Ozero(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Rings_Oring,axiom,
% 55.04/55.63 class_Rings_Oring(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Rings_Oidom,axiom,
% 55.04/55.63 class_Rings_Oidom(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Groups_Oone,axiom,
% 55.04/55.63 class_Groups_Oone(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Complex__Ocomplex__Rings_Odvd,axiom,
% 55.04/55.63 class_Rings_Odvd(tc_Complex_Ocomplex) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Oidom(T_1)
% 55.04/55.63 => class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_1)
% 55.04/55.63 => class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_1)
% 55.04/55.63 => class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_1)
% 55.04/55.63 => class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__1__strict,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_1)
% 55.04/55.63 => class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_1)
% 55.04/55.63 => class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_1)
% 55.04/55.63 => class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__group__add__abs,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_1)
% 55.04/55.63 => class_Groups_Oordered__ab__group__add__abs(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_1)
% 55.04/55.63 => class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_1)
% 55.04/55.63 => class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Groups_Ocancel__comm__monoid__add(T_1)
% 55.04/55.63 => class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Oidom(T_1)
% 55.04/55.63 => class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_1)
% 55.04/55.63 => class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Rings_Olinordered__ring__strict,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_1)
% 55.04/55.63 => class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Oidom(T_1)
% 55.04/55.63 => class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Rings_Oordered__comm__semiring,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_1)
% 55.04/55.63 => class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__1,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_1)
% 55.04/55.63 => class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__group__add,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_1)
% 55.04/55.63 => class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Groups_Ocancel__comm__monoid__add(T_1)
% 55.04/55.63 => class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_1)
% 55.04/55.63 => class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Rings_Olinordered__semidom,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_1)
% 55.04/55.63 => class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Groups_Oab__semigroup__mult,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Ocomm__semiring__0(T_1)
% 55.04/55.63 => class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Ocomm__semiring__1(T_1)
% 55.04/55.63 => class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Groups_Oab__semigroup__add,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Groups_Ocomm__monoid__add(T_1)
% 55.04/55.63 => class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Rings_Oordered__semiring,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_1)
% 55.04/55.63 => class_Rings_Oordered__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Rings_Oordered__ring__abs,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_1)
% 55.04/55.63 => class_Rings_Oordered__ring__abs(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Rings_Ono__zero__divisors,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Oidom(T_1)
% 55.04/55.63 => class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Groups_Ocomm__monoid__add,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Groups_Ocomm__monoid__add(T_1)
% 55.04/55.63 => class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Rings_Olinordered__ring,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_1)
% 55.04/55.63 => class_Rings_Olinordered__ring(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Rings_Olinordered__idom,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_1)
% 55.04/55.63 => class_Rings_Olinordered__idom(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__1,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Ocomm__semiring__1(T_1)
% 55.04/55.63 => class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__0,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Ocomm__semiring__0(T_1)
% 55.04/55.63 => class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Ocomm__semiring__0(T_1)
% 55.04/55.63 => class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Groups_Oab__group__add,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Groups_Oab__group__add(T_1)
% 55.04/55.63 => class_Groups_Oab__group__add(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Rings_Ozero__neq__one,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Ocomm__semiring__1(T_1)
% 55.04/55.63 => class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Rings_Oordered__ring,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_1)
% 55.04/55.63 => class_Rings_Oordered__ring(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Orderings_Opreorder,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_1)
% 55.04/55.63 => class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Orderings_Olinorder,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_1)
% 55.04/55.63 => class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Groups_Omonoid__mult,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Ocomm__semiring__1(T_1)
% 55.04/55.63 => class_Groups_Omonoid__mult(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Rings_Ocomm__ring__1,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Ocomm__ring__1(T_1)
% 55.04/55.63 => class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Groups_Omonoid__add,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Groups_Ocomm__monoid__add(T_1)
% 55.04/55.63 => class_Groups_Omonoid__add(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Rings_Osemiring__0,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Ocomm__semiring__0(T_1)
% 55.04/55.63 => class_Rings_Osemiring__0(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Groups_Ogroup__add,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Groups_Oab__group__add(T_1)
% 55.04/55.63 => class_Groups_Ogroup__add(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Rings_Omult__zero,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Ocomm__semiring__0(T_1)
% 55.04/55.63 => class_Rings_Omult__zero(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Rings_Ocomm__ring,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Ocomm__ring(T_1)
% 55.04/55.63 => class_Rings_Ocomm__ring(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Orderings_Oorder,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_1)
% 55.04/55.63 => class_Orderings_Oorder(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Int_Oring__char__0,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_1)
% 55.04/55.63 => class_Int_Oring__char__0(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Rings_Osemiring,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Ocomm__semiring__0(T_1)
% 55.04/55.63 => class_Rings_Osemiring(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Orderings_Oord,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_1)
% 55.04/55.63 => class_Orderings_Oord(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Groups_Ouminus,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Groups_Oab__group__add(T_1)
% 55.04/55.63 => class_Groups_Ouminus(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.63
% 55.04/55.63 fof(arity_Polynomial__Opoly__Groups_Osgn__if,axiom,
% 55.04/55.63 ! [T_1] :
% 55.04/55.63 ( class_Rings_Olinordered__idom(T_1)
% 55.04/55.64 => class_Groups_Osgn__if(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.64
% 55.04/55.64 fof(arity_Polynomial__Opoly__Groups_Oabs__if,axiom,
% 55.04/55.64 ! [T_1] :
% 55.04/55.64 ( class_Rings_Olinordered__idom(T_1)
% 55.04/55.64 => class_Groups_Oabs__if(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.64
% 55.04/55.64 fof(arity_Polynomial__Opoly__Rings_Oring__1,axiom,
% 55.04/55.64 ! [T_1] :
% 55.04/55.64 ( class_Rings_Ocomm__ring__1(T_1)
% 55.04/55.64 => class_Rings_Oring__1(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.64
% 55.04/55.64 fof(arity_Polynomial__Opoly__Groups_Ominus,axiom,
% 55.04/55.64 ! [T_1] :
% 55.04/55.64 ( class_Groups_Oab__group__add(T_1)
% 55.04/55.64 => class_Groups_Ominus(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.64
% 55.04/55.64 fof(arity_Polynomial__Opoly__Power_Opower,axiom,
% 55.04/55.64 ! [T_1] :
% 55.04/55.64 ( class_Rings_Ocomm__semiring__1(T_1)
% 55.04/55.64 => class_Power_Opower(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.64
% 55.04/55.64 fof(arity_Polynomial__Opoly__Groups_Ozero,axiom,
% 55.04/55.64 ! [T_1] :
% 55.04/55.64 ( class_Groups_Ozero(T_1)
% 55.04/55.64 => class_Groups_Ozero(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.64
% 55.04/55.64 fof(arity_Polynomial__Opoly__Rings_Oring,axiom,
% 55.04/55.64 ! [T_1] :
% 55.04/55.64 ( class_Rings_Ocomm__ring(T_1)
% 55.04/55.64 => class_Rings_Oring(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.64
% 55.04/55.64 fof(arity_Polynomial__Opoly__Rings_Oidom,axiom,
% 55.04/55.64 ! [T_1] :
% 55.04/55.64 ( class_Rings_Oidom(T_1)
% 55.04/55.64 => class_Rings_Oidom(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.64
% 55.04/55.64 fof(arity_Polynomial__Opoly__Groups_Oone,axiom,
% 55.04/55.64 ! [T_1] :
% 55.04/55.64 ( class_Rings_Ocomm__semiring__1(T_1)
% 55.04/55.64 => class_Groups_Oone(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.64
% 55.04/55.64 fof(arity_Polynomial__Opoly__Rings_Odvd,axiom,
% 55.04/55.64 ! [T_1] :
% 55.04/55.64 ( class_Rings_Ocomm__semiring__1(T_1)
% 55.04/55.64 => class_Rings_Odvd(tc_Polynomial_Opoly(T_1)) ) ).
% 55.04/55.64
% 55.04/55.64 %----Conjectures (3)
% 55.04/55.64 fof(conj_0,hypothesis,
% 55.04/55.64 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_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____))),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____)))))) ).
% 55.04/55.64
% 55.04/55.64 fof(conj_1,hypothesis,
% 55.04/55.64 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____) ).
% 55.04/55.64
% 55.04/55.64 fof(conj_2,conjecture,
% 55.04/55.64 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,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(tc_Complex_Ocomplex,v_w____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____))),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____)))),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(tc_Complex_Ocomplex,v_w____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____))),v_m____)) ).
% 55.04/55.64
% 55.04/55.64 %------------------------------------------------------------------------------
% 55.04/55.64 %-------------------------------------------
% 55.04/55.64 % Proof found
% 55.04/55.64 % SZS status Theorem for theBenchmark
% 55.04/55.64 % SZS output start Proof
% 55.04/55.64 %ClaNum:1807(EqnAxiom:204)
% 55.04/55.64 %VarNum:8714(SingletonVarNum:2988)
% 55.04/55.64 %MaxLitNum:7
% 55.04/55.64 %MaxfuncDepth:9
% 55.04/55.64 %SharedTerms:472
% 55.04/55.64 %goalClause: 607
% 55.04/55.64 %singleGoalClaCount:1
% 55.04/55.64 [205]P1(a1)
% 55.04/55.64 [206]P1(a2)
% 55.04/55.64 [207]P49(a1)
% 55.04/55.64 [208]P49(a69)
% 55.04/55.64 [209]P49(a70)
% 55.04/55.64 [210]P2(a1)
% 55.04/55.64 [211]P2(a2)
% 55.04/55.64 [212]P3(a1)
% 55.04/55.64 [213]P3(a2)
% 55.04/55.64 [214]P4(a1)
% 55.04/55.64 [215]P4(a2)
% 55.04/55.64 [216]P4(a69)
% 55.04/55.64 [217]P4(a70)
% 55.04/55.64 [218]P28(a1)
% 55.04/55.64 [219]P28(a2)
% 55.04/55.64 [220]P28(a69)
% 55.04/55.64 [221]P28(a70)
% 55.04/55.64 [222]P46(a1)
% 55.04/55.64 [223]P46(a2)
% 55.04/55.64 [224]P63(a1)
% 55.04/55.64 [225]P63(a2)
% 55.04/55.64 [226]P63(a70)
% 55.04/55.64 [227]P64(a1)
% 55.04/55.64 [228]P64(a2)
% 55.04/55.64 [229]P64(a69)
% 55.04/55.64 [230]P64(a70)
% 55.04/55.64 [231]P69(a1)
% 55.04/55.64 [232]P69(a2)
% 55.04/55.64 [233]P69(a69)
% 55.04/55.64 [234]P69(a70)
% 55.04/55.64 [235]P77(a1)
% 55.04/55.64 [236]P77(a2)
% 55.04/55.64 [237]P77(a69)
% 55.04/55.64 [238]P77(a70)
% 55.04/55.64 [239]P5(a1)
% 55.04/55.64 [240]P5(a2)
% 55.04/55.64 [241]P5(a69)
% 55.04/55.64 [242]P5(a70)
% 55.04/55.64 [243]P78(a1)
% 55.04/55.64 [244]P78(a2)
% 55.04/55.64 [245]P78(a69)
% 55.04/55.64 [246]P78(a70)
% 55.04/55.64 [247]P48(a1)
% 55.04/55.64 [248]P48(a2)
% 55.04/55.64 [249]P50(a1)
% 55.04/55.64 [250]P50(a70)
% 55.04/55.64 [251]P65(a1)
% 55.04/55.64 [252]P65(a69)
% 55.04/55.64 [253]P65(a70)
% 55.04/55.64 [254]P66(a1)
% 55.04/55.64 [255]P66(a69)
% 55.04/55.64 [256]P66(a70)
% 55.04/55.64 [257]P24(a1)
% 55.04/55.64 [258]P24(a2)
% 55.04/55.64 [259]P24(a70)
% 55.04/55.64 [260]P70(a1)
% 55.04/55.64 [261]P70(a2)
% 55.04/55.64 [262]P70(a70)
% 55.04/55.64 [263]P51(a1)
% 55.04/55.64 [264]P51(a2)
% 55.04/55.64 [265]P51(a70)
% 55.04/55.64 [266]P52(a1)
% 55.04/55.64 [267]P52(a2)
% 55.04/55.64 [268]P52(a69)
% 55.04/55.64 [269]P52(a70)
% 55.04/55.64 [270]P79(a1)
% 55.04/55.64 [271]P79(a2)
% 55.04/55.64 [272]P79(a69)
% 55.04/55.64 [273]P79(a70)
% 55.04/55.64 [274]P67(a1)
% 55.04/55.64 [275]P67(a70)
% 55.04/55.64 [276]P76(a1)
% 55.04/55.64 [277]P76(a2)
% 55.04/55.64 [278]P76(a70)
% 55.04/55.64 [279]P68(a1)
% 55.04/55.64 [280]P68(a70)
% 55.04/55.64 [281]P80(a1)
% 55.04/55.64 [282]P80(a2)
% 55.04/55.64 [283]P80(a70)
% 55.04/55.64 [284]P61(a1)
% 55.04/55.64 [285]P61(a70)
% 55.04/55.64 [286]P62(a1)
% 55.04/55.64 [287]P62(a70)
% 55.04/55.64 [288]P71(a1)
% 55.04/55.64 [289]P71(a69)
% 55.04/55.64 [290]P71(a70)
% 55.04/55.64 [291]P72(a1)
% 55.04/55.64 [292]P72(a70)
% 55.04/55.64 [293]P74(a1)
% 55.04/55.64 [294]P74(a69)
% 55.04/55.64 [295]P74(a70)
% 55.04/55.64 [296]P73(a1)
% 55.04/55.64 [297]P73(a69)
% 55.04/55.64 [298]P73(a70)
% 55.04/55.64 [299]P60(a1)
% 55.04/55.64 [300]P60(a69)
% 55.04/55.64 [301]P60(a70)
% 55.04/55.64 [302]P55(a1)
% 55.04/55.64 [303]P55(a2)
% 55.04/55.64 [304]P47(a1)
% 55.04/55.64 [305]P47(a2)
% 55.04/55.64 [306]P56(a1)
% 55.04/55.64 [307]P56(a2)
% 55.04/55.64 [308]P29(a1)
% 55.04/55.64 [309]P29(a2)
% 55.04/55.64 [310]P29(a69)
% 55.04/55.64 [311]P29(a70)
% 55.04/55.64 [312]P75(a1)
% 55.04/55.64 [313]P75(a70)
% 55.04/55.64 [314]P6(a1)
% 55.04/55.64 [315]P16(a1)
% 55.04/55.64 [316]P16(a2)
% 55.04/55.64 [317]P16(a70)
% 55.04/55.64 [318]P7(a1)
% 55.04/55.64 [319]P7(a2)
% 55.04/55.64 [320]P15(a1)
% 55.04/55.64 [321]P8(a1)
% 55.04/55.64 [322]P8(a2)
% 55.04/55.64 [323]P57(a1)
% 55.04/55.64 [324]P57(a2)
% 55.04/55.64 [325]P57(a69)
% 55.04/55.64 [326]P57(a70)
% 55.04/55.64 [327]P17(a1)
% 55.04/55.64 [328]P17(a2)
% 55.04/55.64 [329]P17(a69)
% 55.04/55.64 [330]P17(a70)
% 55.04/55.64 [331]P58(a1)
% 55.04/55.64 [332]P58(a2)
% 55.04/55.64 [333]P58(a69)
% 55.04/55.64 [334]P58(a70)
% 55.04/55.64 [335]P39(a1)
% 55.04/55.64 [336]P39(a2)
% 55.04/55.64 [337]P39(a70)
% 55.04/55.64 [338]P53(a1)
% 55.04/55.64 [339]P53(a2)
% 55.04/55.64 [340]P53(a70)
% 55.04/55.64 [341]P54(a1)
% 55.04/55.64 [342]P54(a2)
% 55.04/55.64 [343]P54(a70)
% 55.04/55.64 [344]P30(a1)
% 55.04/55.64 [345]P30(a70)
% 55.04/55.64 [346]P18(a1)
% 55.04/55.64 [347]P18(a2)
% 55.04/55.64 [348]P18(a69)
% 55.04/55.64 [349]P18(a70)
% 55.04/55.64 [350]P20(a1)
% 55.04/55.64 [351]P20(a2)
% 55.04/55.64 [352]P20(a69)
% 55.04/55.64 [353]P20(a70)
% 55.04/55.64 [354]P21(a1)
% 55.04/55.64 [355]P21(a2)
% 55.04/55.64 [356]P21(a69)
% 55.04/55.64 [357]P21(a70)
% 55.04/55.64 [358]P19(a1)
% 55.04/55.64 [359]P19(a2)
% 55.04/55.64 [360]P19(a69)
% 55.04/55.64 [361]P19(a70)
% 55.04/55.64 [362]P31(a1)
% 55.04/55.64 [363]P31(a2)
% 55.04/55.64 [364]P31(a69)
% 55.04/55.64 [365]P31(a70)
% 55.04/55.64 [366]P25(a1)
% 55.04/55.64 [367]P25(a2)
% 55.04/55.64 [368]P25(a69)
% 55.04/55.64 [369]P25(a70)
% 55.04/55.64 [370]P26(a1)
% 55.04/55.64 [371]P26(a70)
% 55.04/55.64 [372]P33(a1)
% 55.04/55.64 [373]P33(a69)
% 55.04/55.64 [374]P33(a70)
% 55.04/55.64 [375]P34(a1)
% 55.04/55.64 [376]P34(a69)
% 55.04/55.64 [377]P34(a70)
% 55.04/55.64 [378]P35(a1)
% 55.04/55.64 [379]P35(a69)
% 55.04/55.64 [380]P35(a70)
% 55.04/55.64 [381]P32(a1)
% 55.04/55.64 [382]P32(a70)
% 55.04/55.64 [383]P36(a1)
% 55.04/55.64 [384]P36(a69)
% 55.04/55.64 [385]P36(a70)
% 55.04/55.64 [386]P22(a1)
% 55.04/55.64 [387]P22(a70)
% 55.04/55.64 [388]P81(a1)
% 55.04/55.64 [389]P81(a2)
% 55.04/55.64 [390]P81(a69)
% 55.04/55.64 [391]P81(a70)
% 55.04/55.64 [392]P40(a1)
% 55.04/55.64 [393]P40(a69)
% 55.04/55.64 [394]P40(a70)
% 55.04/55.64 [395]P40(a71)
% 55.04/55.64 [396]P41(a1)
% 55.04/55.64 [397]P41(a69)
% 55.04/55.64 [398]P41(a70)
% 55.04/55.64 [399]P41(a71)
% 55.04/55.64 [400]P42(a1)
% 55.04/55.64 [401]P42(a69)
% 55.04/55.64 [402]P42(a70)
% 55.04/55.64 [403]P45(a1)
% 55.04/55.64 [404]P45(a69)
% 55.04/55.64 [405]P45(a70)
% 55.04/55.64 [406]P45(a71)
% 55.04/55.64 [407]P43(a71)
% 55.04/55.64 [408]P27(a1)
% 55.04/55.64 [409]P27(a2)
% 55.04/55.64 [410]P27(a69)
% 55.04/55.64 [411]P27(a70)
% 55.04/55.64 [412]P27(a71)
% 55.04/55.64 [413]P37(a1)
% 55.04/55.64 [414]P37(a2)
% 55.04/55.64 [415]P37(a70)
% 55.04/55.64 [416]P37(a71)
% 55.04/55.64 [417]P38(a1)
% 55.04/55.64 [418]P38(a70)
% 55.04/55.64 [419]P59(a1)
% 55.04/55.64 [420]P59(a2)
% 55.04/55.64 [421]P59(a69)
% 55.04/55.64 [422]P59(a70)
% 55.04/55.64 [423]P23(a1)
% 55.04/55.64 [424]P23(a2)
% 55.04/55.64 [425]P23(a69)
% 55.04/55.64 [426]P23(a70)
% 55.04/55.64 [435]E(f5(a2,a73),f5(a2,a80))
% 55.04/55.64 [436]E(f5(a2,a30),f5(a2,a73))
% 55.04/55.64 [437]E(f5(a2,a32),f5(a2,a73))
% 55.04/55.64 [438]E(f26(a2,a6),f10(a2,a6))
% 55.04/55.64 [453]P10(a1,a81,f4(a1))
% 55.04/55.64 [454]P10(a1,a55,f4(a1))
% 55.04/55.64 [455]P10(a1,f3(a1),a81)
% 55.04/55.64 [456]P10(a1,f3(a1),a74)
% 55.04/55.64 [457]P10(a1,f3(a1),a33)
% 55.04/55.64 [458]P10(a1,f3(a1),a55)
% 55.04/55.64 [459]P10(a1,f3(a1),a34)
% 55.04/55.64 [472]P10(a70,f3(a70),f4(a70))
% 55.04/55.64 [474]P9(a70,f3(a70),f4(a70))
% 55.04/55.64 [578]~E(f3(a2),a83)
% 55.04/55.64 [579]~E(f3(a2),a76)
% 55.04/55.64 [580]~E(f3(a69),a78)
% 55.04/55.64 [581]~E(f3(a2),a6)
% 55.04/55.64 [582]~E(f4(a2),a6)
% 55.04/55.64 [583]~E(f3(a69),a46)
% 55.04/55.64 [584]~E(f3(a2),a48)
% 55.04/55.64 [585]~E(f4(a1),f3(a1))
% 55.04/55.64 [586]~E(f4(a70),f3(a70))
% 55.04/55.64 [595]~P11(a2,a2,f15(a2,a79))
% 55.04/55.64 [596]~P11(a2,a2,f15(a2,a73))
% 55.04/55.64 [598]~P11(a2,a2,f15(a2,a80))
% 55.04/55.64 [427]E(f14(f3(a1)),f3(a69))
% 55.04/55.64 [428]E(f14(f4(a1)),f4(a69))
% 55.04/55.64 [429]E(f25(f3(a1)),f3(a69))
% 55.04/55.64 [430]E(f25(f4(a1)),f4(a69))
% 55.04/55.64 [431]E(f10(a70,f3(a70)),f3(a70))
% 55.04/55.64 [432]E(f26(a1,f3(a1)),f3(a1))
% 55.04/55.64 [433]E(f27(a69,f3(a69)),f3(a1))
% 55.04/55.64 [434]E(f27(a69,f4(a69)),f4(a1))
% 55.04/55.64 [477]E(f54(f15(a2,a80),f3(a2)),f54(f15(a2,a73),a75))
% 55.04/55.64 [504]P10(a69,f12(a69,a78,f4(a69)),f5(a2,a73))
% 55.04/55.64 [526]P9(a1,f54(f54(f11(a1),a81),f28(a2,a83)),f54(f54(f11(a1),f4(a1)),f28(a2,a83)))
% 55.04/55.64 [556]E(f54(f15(a2,f23(a2,f26(a2,f54(f15(a2,a80),f3(a2))),a80)),f3(a2)),f4(a2))
% 55.04/55.64 [558]E(f9(a2,f12(a2,f4(a2),f54(f54(f11(a2),f54(f54(f21(a2),a83),a78)),a76)),f4(a2)),f9(a2,f3(a2),f4(a2)))
% 55.04/55.64 [587]~E(f54(f15(a2,a73),a75),f3(a2))
% 55.04/55.64 [588]~E(f54(f15(a2,a80),f3(a2)),f3(a2))
% 55.04/55.64 [594]~E(f12(a69,a78,f4(a69)),f5(a2,a73))
% 55.04/55.64 [469]E(f29(a2,f10(a1,f4(a1))),f10(a2,f4(a2)))
% 55.04/55.64 [470]E(f54(f54(f11(a2),a6),a6),f10(a2,f4(a2)))
% 55.04/55.64 [491]P10(a1,f3(a1),f54(f54(f21(a1),a81),a78))
% 55.04/55.64 [540]P9(a1,f28(a2,f54(f54(f11(a2),f29(a2,a81)),a83)),f28(a2,a83))
% 55.04/55.64 [514]E(f54(f54(f11(a2),f54(f54(f21(a2),a83),a78)),a76),f10(a2,f4(a2)))
% 55.04/55.64 [541]E(f5(a2,f23(a2,f26(a2,f54(f15(a2,a80),f3(a2))),a80)),f5(a2,a80))
% 55.04/55.64 [550]E(f5(a2,f23(a2,f26(a2,f54(f15(a2,a80),f3(a2))),a80)),f12(a69,f12(a69,f5(a2,a82),a78),f4(a69)))
% 55.04/55.64 [551]E(f5(a2,f23(a2,f26(a2,f54(f15(a2,a80),f3(a2))),a80)),f12(a69,f12(a69,f5(a2,a45),a46),f4(a69)))
% 55.04/55.64 [554]E(f5(a2,f18(a2,f4(a2),f16(a2,a76,f9(a69,a78,f4(a69))))),f12(a69,a78,f4(a69)))
% 55.04/55.64 [555]P9(a1,f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))),a74)
% 55.04/55.64 [604]~P11(a2,a2,f15(a2,f23(a2,f26(a2,f54(f15(a2,a80),f3(a2))),a80)))
% 55.04/55.64 [605]~P11(a2,a2,f15(a2,f18(a2,f4(a2),f16(a2,a76,f9(a69,a78,f4(a69))))))
% 55.04/55.64 [543]E(f12(a2,f4(a2),f54(f54(f11(a2),f54(f54(f21(a2),a83),a78)),a76)),f3(a2))
% 55.04/55.64 [544]E(f12(a2,f4(a2),f54(f54(f11(a2),f54(f54(f21(a2),a56),a78)),a76)),f3(a2))
% 55.04/55.64 [559]E(f54(f15(a2,f18(a2,f4(a2),f16(a2,a76,f9(a69,a78,f4(a69))))),a35),f3(a2))
% 55.04/55.64 [561]P10(a1,a81,f26(a1,f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74)))
% 55.04/55.64 [562]P10(a1,a55,f26(a1,f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74)))
% 55.04/55.64 [563]P10(a1,f3(a1),f26(a1,f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74)))
% 55.04/55.64 [564]P10(a1,f54(f54(f11(a1),a81),f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74)),f4(a1))
% 55.04/55.64 [574]E(f12(a2,f12(a2,f4(a2),f54(f54(f11(a2),f54(f54(f21(a2),f29(a2,a81)),a78)),f54(f54(f11(a2),f54(f54(f21(a2),a83),a78)),a76))),f54(f54(f11(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f54(f54(f11(a2),f29(a2,a81)),a83))),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))),f12(a2,f29(a2,f9(a1,f4(a1),f54(f54(f21(a1),a81),a78))),f54(f54(f11(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f54(f54(f11(a2),f29(a2,a81)),a83))),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))))
% 55.04/55.64 [606]~E(f54(f15(a2,f23(a2,f26(a2,f54(f15(a2,a80),f3(a2))),a80)),a36),f54(f15(a2,f23(a2,f26(a2,f54(f15(a2,a80),f3(a2))),a80)),a41))
% 55.04/55.64 [607]~P9(a1,f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74))
% 55.04/55.64 [569]P10(a1,f54(f54(f11(a1),f54(f54(f21(a1),a81),a78)),f54(f54(f11(a1),a81),f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74))),f54(f54(f11(a1),f54(f54(f21(a1),a81),a78)),f4(a1)))
% 55.04/55.64 [577]P9(a1,f28(a2,f12(a2,f29(a2,f9(a1,f4(a1),f54(f54(f21(a1),a81),a78))),f54(f54(f11(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f54(f54(f11(a2),f29(a2,a81)),a83))),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))),f12(a1,f28(a2,f29(a2,f9(a1,f4(a1),f54(f54(f21(a1),a81),a78)))),f28(a2,f54(f54(f11(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f54(f54(f11(a2),f29(a2,a81)),a83))),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))))
% 55.04/55.64 [570]E(f54(f54(f11(a1),f54(f54(f21(a1),a81),a78)),f54(f54(f11(a1),a81),f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))))),f28(a2,f54(f54(f11(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f54(f54(f11(a2),f29(a2,a81)),a83))),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))))
% 55.04/55.64 [571]E(f54(f54(f11(a1),f54(f54(f21(a1),a81),a78)),f54(f54(f11(a1),a81),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))))),f28(a2,f54(f54(f11(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f54(f54(f11(a2),f29(a2,a81)),a83))),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))))
% 55.04/55.64 [572]E(f12(a2,f29(a2,f9(a1,f4(a1),f54(f54(f21(a1),a81),a78))),f54(f54(f11(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f54(f54(f11(a2),f29(a2,a81)),a83))),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))),f12(a2,f4(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f12(a2,a76,f54(f54(f11(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))))))
% 55.04/55.64 [573]E(f12(a2,f12(a2,f4(a2),f54(f54(f11(a2),f54(f54(f21(a2),f29(a2,a81)),a78)),f54(f54(f11(a2),f54(f54(f21(a2),a83),a78)),a76))),f54(f54(f11(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f54(f54(f11(a2),f29(a2,a81)),a83))),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))),f12(a2,f4(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f12(a2,a76,f54(f54(f11(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))))))
% 55.04/55.64 [575]E(f28(a2,f12(a2,f29(a2,f9(a1,f4(a1),f54(f54(f21(a1),a81),a78))),f54(f54(f11(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f54(f54(f11(a2),f29(a2,a81)),a83))),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))),f28(a2,f12(a2,f4(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f12(a2,a76,f54(f54(f11(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))))))
% 55.04/55.64 [576]P9(a1,f28(a2,f12(a2,f4(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f12(a2,a76,f54(f54(f11(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))))),f12(a1,f8(a1,f9(a1,f4(a1),f54(f54(f21(a1),a81),a78))),f28(a2,f54(f54(f11(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f54(f54(f11(a2),f29(a2,a81)),a83))),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))))
% 55.04/55.64 [447]P9(a1,x4471,x4471)
% 55.04/55.64 [448]P9(a69,x4481,x4481)
% 55.04/55.64 [449]P9(a70,x4491,x4491)
% 55.04/55.64 [590]~P10(a69,x5901,x5901)
% 55.04/55.64 [439]E(f28(a1,x4391),f8(a1,x4391))
% 55.04/55.64 [461]E(f9(a69,x4611,x4611),f3(a69))
% 55.04/55.64 [463]P9(a69,f3(a69),x4631)
% 55.04/55.64 [479]P9(a1,f3(a1),f27(a69,x4791))
% 55.04/55.64 [593]~P10(a69,x5931,f3(a69))
% 55.04/55.64 [599]~P10(a1,f27(a69,x5991),f3(a1))
% 55.04/55.64 [440]E(f14(f27(a69,x4401)),x4401)
% 55.04/55.64 [441]E(f25(f27(a69,x4411)),x4411)
% 55.04/55.64 [442]E(f10(a70,f10(a70,x4421)),x4421)
% 55.04/55.64 [443]E(f8(a1,f27(a69,x4431)),f27(a69,x4431))
% 55.04/55.64 [444]E(f54(f54(f11(a69),x4441),f4(a69)),x4441)
% 55.04/55.64 [445]E(f54(f54(f11(a70),x4451),f4(a70)),x4451)
% 55.04/55.64 [446]E(f54(f54(f11(a69),x4461),f3(a69)),f3(a69))
% 55.04/55.64 [464]E(f12(a69,x4641,f3(a69)),x4641)
% 55.04/55.64 [465]E(f12(a70,x4651,f3(a70)),x4651)
% 55.04/55.64 [466]E(f9(a69,x4661,f3(a69)),x4661)
% 55.04/55.64 [467]E(f12(a69,f3(a69),x4671),x4671)
% 55.04/55.64 [468]E(f12(a70,f3(a70),x4681),x4681)
% 55.04/55.64 [471]E(f9(a69,f3(a69),x4711),f3(a69))
% 55.04/55.64 [478]E(f12(a70,f10(a70,x4781),x4781),f3(a70))
% 55.04/55.64 [480]P9(a1,x4801,f27(a69,f14(x4801)))
% 55.04/55.64 [494]P9(a1,f10(a1,f28(a2,x4941)),f28(a2,x4941))
% 55.04/55.64 [501]E(f54(f15(a2,a73),f12(a2,a75,x5011)),f54(f15(a2,a80),x5011))
% 55.04/55.64 [502]E(f54(f15(a2,a73),f12(a2,a75,x5021)),f54(f15(a2,a30),x5021))
% 55.04/55.64 [503]E(f54(f15(a2,a73),f12(a2,a75,x5031)),f54(f15(a2,a32),x5031))
% 55.04/55.64 [509]P10(a1,f9(a1,x5091,f4(a1)),f27(a69,f25(x5091)))
% 55.04/55.64 [510]P10(a1,f3(a1),f12(a1,f4(a1),f8(a1,x5101)))
% 55.04/55.64 [515]P10(a1,x5151,f12(a1,f27(a69,f25(x5151)),f4(a1)))
% 55.04/55.64 [603]~P10(a1,f12(a1,f8(a1,x6031),f4(a1)),x6031)
% 55.04/55.64 [450]E(f54(f54(f11(a1),f4(a1)),x4501),x4501)
% 55.04/55.64 [451]E(f54(f54(f11(a69),f4(a69)),x4511),x4511)
% 55.04/55.64 [452]E(f54(f54(f11(a70),f4(a70)),x4521),x4521)
% 55.04/55.64 [460]E(f54(f54(f11(a69),f3(a69)),x4601),f3(a69))
% 55.04/55.64 [493]P9(a69,x4931,f54(f54(f11(a69),x4931),x4931))
% 55.04/55.64 [530]P9(a1,f28(a2,f54(f15(a2,a73),a75)),f28(a2,f54(f15(a2,a73),x5301)))
% 55.04/55.64 [535]P9(a1,f28(a2,f54(f15(a2,a80),f3(a2))),f28(a2,f54(f15(a2,a73),x5351)))
% 55.04/55.64 [565]E(f54(f54(f11(a2),f54(f15(a2,f23(a2,f26(a2,f54(f15(a2,a80),f3(a2))),a80)),x5651)),f54(f15(a2,a80),f3(a2))),f54(f15(a2,a80),x5651))
% 55.04/55.64 [602]~E(f12(a70,f12(a70,f4(a70),x6021),x6021),f3(a70))
% 55.04/55.64 [492]E(f54(f54(f11(a2),a6),f54(f54(f11(a2),a6),x4921)),f10(a2,x4921))
% 55.04/55.64 [527]P9(a69,x5271,f54(f54(f11(a69),x5271),f54(f54(f11(a69),x5271),x5271)))
% 55.04/55.64 [567]E(f12(a2,f54(f15(a2,f23(a2,f26(a2,f54(f15(a2,a80),f3(a2))),a80)),f3(a2)),f54(f54(f11(a2),f54(f54(f21(a2),x5671),a78)),f54(f15(a2,f18(a2,a76,a82)),x5671))),f54(f15(a2,f23(a2,f26(a2,f54(f15(a2,a80),f3(a2))),a80)),x5671))
% 55.04/55.64 [568]E(f12(a2,f54(f15(a2,f23(a2,f26(a2,f54(f15(a2,a80),f3(a2))),a80)),f3(a2)),f54(f54(f11(a2),f54(f54(f21(a2),x5681),a46)),f54(f15(a2,f18(a2,a48,a45)),x5681))),f54(f15(a2,f23(a2,f26(a2,f54(f15(a2,a80),f3(a2))),a80)),x5681))
% 55.04/55.64 [484]E(f12(a69,x4841,x4842),f12(a69,x4842,x4841))
% 55.04/55.64 [485]E(f12(a70,x4851,x4852),f12(a70,x4852,x4851))
% 55.04/55.64 [495]P9(a69,x4951,f12(a69,x4952,x4951))
% 55.04/55.64 [496]P9(a69,x4961,f12(a69,x4961,x4962))
% 55.04/55.64 [497]P9(a69,f9(a69,x4971,x4972),x4971)
% 55.04/55.64 [600]~P10(a69,f12(a69,x6001,x6002),x6002)
% 55.04/55.64 [601]~P10(a69,f12(a69,x6011,x6012),x6011)
% 55.04/55.64 [487]E(f12(a1,x4871,f10(a1,x4872)),f9(a1,x4871,x4872))
% 55.04/55.64 [488]E(f12(a2,x4881,f10(a2,x4882)),f9(a2,x4881,x4882))
% 55.04/55.64 [490]E(f12(a70,x4901,f10(a70,x4902)),f9(a70,x4901,x4902))
% 55.04/55.64 [498]E(f9(a69,f12(a69,x4981,x4982),x4982),x4981)
% 55.04/55.64 [499]E(f9(a69,f12(a69,x4991,x4992),x4991),x4992)
% 55.04/55.64 [500]E(f9(a69,x5001,f12(a69,x5001,x5002)),f3(a69))
% 55.04/55.64 [511]E(f12(a70,f10(a70,x5111),f10(a70,x5112)),f10(a70,f12(a70,x5111,x5112)))
% 55.04/55.64 [512]E(f12(a1,f27(a69,x5121),f27(a69,x5122)),f27(a69,f12(a69,x5121,x5122)))
% 55.04/55.64 [552]P9(a1,f28(a2,x5521),f12(a1,f28(a2,f12(a2,x5521,x5522)),f28(a2,x5522)))
% 55.04/55.64 [553]P9(a1,f9(a1,f28(a2,f12(a2,x5531,x5532)),f28(a2,x5531)),f28(a2,x5532))
% 55.04/55.64 [481]E(f54(f54(f11(a1),x4811),x4812),f54(f54(f11(a1),x4812),x4811))
% 55.04/55.64 [482]E(f54(f54(f11(a69),x4821),x4822),f54(f54(f11(a69),x4822),x4821))
% 55.04/55.64 [483]E(f54(f54(f11(a70),x4831),x4832),f54(f54(f11(a70),x4832),x4831))
% 55.04/55.64 [516]P9(a70,f3(a70),f54(f54(f21(a70),f8(a70,x5161)),x5162))
% 55.04/55.64 [528]E(f8(a1,f12(a1,x5281,f10(a1,x5282))),f8(a1,f12(a1,x5282,f10(a1,x5281))))
% 55.04/55.64 [506]E(f54(f54(f21(a1),f27(a69,x5061)),x5062),f27(a69,f54(f54(f21(a69),x5061),x5062)))
% 55.04/55.64 [507]E(f29(a2,f54(f54(f21(a1),x5071),x5072)),f54(f54(f21(a2),f29(a2,x5071)),x5072))
% 55.04/55.64 [508]E(f54(f54(f11(a70),f10(a70,x5081)),x5082),f10(a70,f54(f54(f11(a70),x5081),x5082)))
% 55.04/55.64 [513]E(f54(f54(f11(a1),f27(a69,x5131)),f27(a69,x5132)),f27(a69,f54(f54(f11(a69),x5131),x5132)))
% 55.04/55.64 [529]P9(a1,f10(a1,f54(f54(f11(a1),x5291),x5291)),f54(f54(f11(a1),x5292),x5292))
% 55.04/55.64 [518]E(f12(a69,x5181,f12(a69,x5182,x5183)),f12(a69,x5182,f12(a69,x5181,x5183)))
% 55.04/55.64 [519]E(f12(a70,x5191,f12(a70,x5192,x5193)),f12(a70,x5192,f12(a70,x5191,x5193)))
% 55.04/55.64 [520]E(f12(a69,f12(a69,x5201,x5202),x5203),f12(a69,x5201,f12(a69,x5202,x5203)))
% 55.04/55.64 [521]E(f12(a70,f12(a70,x5211,x5212),x5213),f12(a70,x5211,f12(a70,x5212,x5213)))
% 55.04/55.64 [522]E(f9(a69,f9(a69,x5221,x5222),x5223),f9(a69,x5221,f12(a69,x5222,x5223)))
% 55.04/55.64 [523]E(f9(a69,f9(a69,x5231,x5232),x5233),f9(a69,f9(a69,x5231,x5233),x5232))
% 55.04/55.64 [524]E(f9(a69,f12(a69,x5241,x5242),f12(a69,x5243,x5242)),f9(a69,x5241,x5243))
% 55.04/55.64 [525]E(f9(a69,f12(a69,x5251,x5252),f12(a69,x5251,x5253)),f9(a69,x5252,x5253))
% 55.04/55.64 [536]E(f12(a69,f54(f54(f11(a69),x5361),x5362),f54(f54(f11(a69),x5361),x5363)),f54(f54(f11(a69),x5361),f12(a69,x5362,x5363)))
% 55.04/55.64 [537]E(f9(a69,f54(f54(f11(a69),x5371),x5372),f54(f54(f11(a69),x5371),x5373)),f54(f54(f11(a69),x5371),f9(a69,x5372,x5373)))
% 55.04/55.64 [538]E(f12(a70,f54(f54(f11(a70),x5381),x5382),f54(f54(f11(a70),x5381),x5383)),f54(f54(f11(a70),x5381),f12(a70,x5382,x5383)))
% 55.04/55.64 [539]E(f9(a70,f54(f54(f11(a70),x5391),x5392),f54(f54(f11(a70),x5391),x5393)),f54(f54(f11(a70),x5391),f9(a70,x5392,x5393)))
% 55.04/55.64 [542]E(f54(f54(f11(a70),f54(f54(f21(a70),x5421),x5422)),f54(f54(f21(a70),x5421),x5423)),f54(f54(f21(a70),x5421),f12(a69,x5422,x5423)))
% 55.04/55.64 [545]E(f12(a1,f54(f54(f11(a1),x5451),x5452),f54(f54(f11(a1),x5453),x5452)),f54(f54(f11(a1),f12(a1,x5451,x5453)),x5452))
% 55.04/55.64 [546]E(f12(a69,f54(f54(f11(a69),x5461),x5462),f54(f54(f11(a69),x5463),x5462)),f54(f54(f11(a69),f12(a69,x5461,x5463)),x5462))
% 55.04/55.64 [547]E(f9(a69,f54(f54(f11(a69),x5471),x5472),f54(f54(f11(a69),x5473),x5472)),f54(f54(f11(a69),f9(a69,x5471,x5473)),x5472))
% 55.04/55.64 [548]E(f12(a70,f54(f54(f11(a70),x5481),x5482),f54(f54(f11(a70),x5483),x5482)),f54(f54(f11(a70),f12(a70,x5481,x5483)),x5482))
% 55.04/55.64 [549]E(f9(a70,f54(f54(f11(a70),x5491),x5492),f54(f54(f11(a70),x5493),x5492)),f54(f54(f11(a70),f9(a70,x5491,x5493)),x5492))
% 55.04/55.64 [531]E(f54(f54(f21(a70),f54(f54(f21(a70),x5311),x5312)),x5313),f54(f54(f21(a70),x5311),f54(f54(f11(a69),x5312),x5313)))
% 55.04/55.64 [532]E(f54(f54(f11(a1),f54(f54(f11(a1),x5321),x5322)),x5323),f54(f54(f11(a1),x5321),f54(f54(f11(a1),x5322),x5323)))
% 55.04/55.64 [533]E(f54(f54(f11(a69),f54(f54(f11(a69),x5331),x5332)),x5333),f54(f54(f11(a69),x5331),f54(f54(f11(a69),x5332),x5333)))
% 55.04/55.64 [534]E(f54(f54(f11(a70),f54(f54(f11(a70),x5341),x5342)),x5343),f54(f54(f11(a70),x5341),f54(f54(f11(a70),x5342),x5343)))
% 55.04/55.64 [517]E(f54(f54(f22(x5171,x5172,x5173),x5174),f3(a69)),x5172)
% 55.04/55.64 [560]P9(a1,f8(a1,f12(a1,f12(a1,x5601,x5602),f12(a1,f10(a1,x5603),f10(a1,x5604)))),f12(a1,f8(a1,f12(a1,x5601,f10(a1,x5603))),f8(a1,f12(a1,x5602,f10(a1,x5604)))))
% 55.04/55.64 [557]E(f12(a69,f54(f54(f11(a69),x5571),x5572),f12(a69,f54(f54(f11(a69),x5573),x5572),x5574)),f12(a69,f54(f54(f11(a69),f12(a69,x5571,x5573)),x5572),x5574))
% 55.04/55.64 [608]~P50(x6081)+P49(f72(x6081))
% 55.04/55.64 [609]~P58(x6091)+P4(f72(x6091))
% 55.04/55.64 [610]~P58(x6101)+P28(f72(x6101))
% 55.04/55.64 [611]~P51(x6111)+P63(f72(x6111))
% 55.04/55.64 [612]~P57(x6121)+P64(f72(x6121))
% 55.04/55.64 [613]~P51(x6131)+P69(f72(x6131))
% 55.04/55.64 [614]~P58(x6141)+P77(f72(x6141))
% 55.04/55.64 [615]~P58(x6151)+P5(f72(x6151))
% 55.04/55.64 [616]~P57(x6161)+P78(f72(x6161))
% 55.04/55.64 [617]~P50(x6171)+P50(f72(x6171))
% 55.04/55.64 [618]~P50(x6181)+P65(f72(x6181))
% 55.04/55.64 [619]~P50(x6191)+P66(f72(x6191))
% 55.04/55.64 [620]~P16(x6201)+P24(f72(x6201))
% 55.04/55.64 [621]~P53(x6211)+P70(f72(x6211))
% 55.04/55.64 [622]~P51(x6221)+P51(f72(x6221))
% 55.04/55.64 [623]~P57(x6231)+P52(f72(x6231))
% 55.04/55.64 [624]~P57(x6241)+P79(f72(x6241))
% 55.04/55.64 [625]~P50(x6251)+P67(f72(x6251))
% 55.04/55.64 [626]~P54(x6261)+P76(f72(x6261))
% 55.04/55.64 [627]~P50(x6271)+P68(f72(x6271))
% 55.04/55.64 [628]~P51(x6281)+P80(f72(x6281))
% 55.04/55.64 [629]~P50(x6291)+P61(f72(x6291))
% 55.04/55.64 [630]~P50(x6301)+P62(f72(x6301))
% 55.04/55.64 [631]~P50(x6311)+P71(f72(x6311))
% 55.04/55.64 [632]~P50(x6321)+P72(f72(x6321))
% 55.04/55.64 [633]~P50(x6331)+P74(f72(x6331))
% 55.04/55.64 [634]~P50(x6341)+P73(f72(x6341))
% 55.04/55.64 [635]~P50(x6351)+P60(f72(x6351))
% 55.04/55.64 [636]~P29(x6361)+P29(f72(x6361))
% 55.04/55.64 [637]~P50(x6371)+P75(f72(x6371))
% 55.04/55.64 [638]~P16(x6381)+P16(f72(x6381))
% 55.04/55.64 [639]~P57(x6391)+P57(f72(x6391))
% 55.04/55.64 [640]~P17(x6401)+P17(f72(x6401))
% 55.04/55.64 [641]~P58(x6411)+P58(f72(x6411))
% 55.04/55.64 [642]~P50(x6421)+P39(f72(x6421))
% 55.04/55.64 [643]~P53(x6431)+P53(f72(x6431))
% 55.04/55.64 [644]~P54(x6441)+P54(f72(x6441))
% 55.04/55.64 [645]~P50(x6451)+P30(f72(x6451))
% 55.04/55.64 [646]~P57(x6461)+P18(f72(x6461))
% 55.04/55.64 [647]~P23(x6471)+P20(f72(x6471))
% 55.04/55.64 [648]~P23(x6481)+P21(f72(x6481))
% 55.04/55.64 [649]~P17(x6491)+P19(f72(x6491))
% 55.04/55.64 [650]~P58(x6501)+P31(f72(x6501))
% 55.04/55.64 [651]~P17(x6511)+P25(f72(x6511))
% 55.04/55.64 [652]~P50(x6521)+P26(f72(x6521))
% 55.04/55.64 [653]~P50(x6531)+P33(f72(x6531))
% 55.04/55.64 [654]~P50(x6541)+P34(f72(x6541))
% 55.04/55.64 [655]~P50(x6551)+P35(f72(x6551))
% 55.04/55.64 [656]~P50(x6561)+P32(f72(x6561))
% 55.04/55.64 [657]~P50(x6571)+P36(f72(x6571))
% 55.04/55.64 [658]~P50(x6581)+P22(f72(x6581))
% 55.04/55.64 [659]~P51(x6591)+P81(f72(x6591))
% 55.04/55.64 [660]~P50(x6601)+P40(f72(x6601))
% 55.04/55.64 [661]~P50(x6611)+P41(f72(x6611))
% 55.04/55.64 [662]~P50(x6621)+P42(f72(x6621))
% 55.04/55.64 [663]~P50(x6631)+P45(f72(x6631))
% 55.04/55.64 [664]~P16(x6641)+P27(f72(x6641))
% 55.04/55.64 [665]~P16(x6651)+P37(f72(x6651))
% 55.04/55.64 [666]~P50(x6661)+P38(f72(x6661))
% 55.04/55.64 [667]~P58(x6671)+P59(f72(x6671))
% 55.04/55.64 [668]~P23(x6681)+P23(f72(x6681))
% 55.04/55.64 [670]~P77(x6701)+~E(f4(x6701),f3(x6701))
% 55.04/55.64 [671]~E(x6711,f3(a69))+E(f27(a69,x6711),f3(a1))
% 55.04/55.64 [672]E(x6721,f3(a69))+~E(f27(a69,x6721),f3(a1))
% 55.04/55.64 [750]E(x7501,f3(a69))+P10(a69,f3(a69),x7501)
% 55.04/55.64 [791]~P3(x7911)+P10(a1,f3(a1),f49(x7911))
% 55.04/55.64 [798]E(f8(a1,x7981),x7981)+P10(a1,x7981,f3(a1))
% 55.04/55.64 [799]E(f8(a70,x7991),x7991)+P10(a70,x7991,f3(a70))
% 55.04/55.64 [808]~P49(x8081)+P10(x8081,f3(x8081),f4(x8081))
% 55.04/55.64 [809]~P49(x8091)+P9(x8091,f3(x8091),f4(x8091))
% 55.04/55.64 [836]~E(x8361,f3(a70))+P10(a70,f8(a70,x8361),f4(a70))
% 55.04/55.64 [837]~E(x8371,f3(a69))+P9(a1,f27(a69,x8371),f3(a1))
% 55.04/55.64 [880]E(x8801,f3(a69))+~P9(a69,x8801,f3(a69))
% 55.04/55.64 [889]E(f14(x8891),f3(a69))+~P9(a1,x8891,f3(a1))
% 55.04/55.64 [890]E(f25(x8901),f3(a69))+~P9(a1,x8901,f3(a1))
% 55.04/55.64 [937]~P49(x9371)+~P10(x9371,f4(x9371),f3(x9371))
% 55.04/55.64 [938]~P49(x9381)+~P9(x9381,f4(x9381),f3(x9381))
% 55.04/55.64 [940]E(f10(a1,x9401),f8(a1,x9401))+~P10(a1,x9401,f3(a1))
% 55.04/55.64 [941]E(f10(a70,x9411),f8(a70,x9411))+~P10(a70,x9411,f3(a70))
% 55.04/55.64 [983]E(x9831,f3(a69))+~P9(a1,f27(a69,x9831),f3(a1))
% 55.04/55.64 [984]E(x9841,f3(a70))+~P10(a70,f8(a70,x9841),f4(a70))
% 55.04/55.64 [1022]~P9(a70,f4(a70),x10221)+P10(a70,f3(a70),x10221)
% 55.04/55.64 [1023]~P10(a70,f3(a70),x10231)+P9(a70,f4(a70),x10231)
% 55.04/55.64 [1025]P10(a1,f61(x10251),x10251)+~P10(a1,f3(a1),x10251)
% 55.04/55.64 [1052]~P9(a1,x10521,f4(a1))+P9(a69,f14(x10521),f4(a69))
% 55.04/55.64 [1053]~P10(a1,f3(a1),x10531)+P10(a1,f61(x10531),f4(a1))
% 55.04/55.64 [1054]~P10(a1,f3(a1),x10541)+P10(a1,f3(a1),f61(x10541))
% 55.04/55.64 [1055]~P9(a1,f4(a1),x10551)+P9(a69,f4(a69),f25(x10551))
% 55.04/55.64 [1060]~P9(a69,f14(x10601),f4(a69))+P9(a1,x10601,f4(a1))
% 55.04/55.64 [1061]~P9(a69,f4(a69),f25(x10611))+P9(a1,f4(a1),x10611)
% 55.04/55.64 [1066]~P10(a69,f3(a69),x10661)+P10(a1,f3(a1),f27(a69,x10661))
% 55.04/55.64 [1110]P10(a69,f3(a69),x11101)+~P10(a1,f3(a1),f27(a69,x11101))
% 55.04/55.64 [673]~P46(x6731)+E(f29(x6731,f3(a1)),f3(x6731))
% 55.04/55.64 [674]~P46(x6741)+E(f29(x6741,f4(a1)),f4(x6741))
% 55.04/55.64 [675]~P1(x6751)+E(f28(x6751,f3(x6751)),f3(a1))
% 55.04/55.64 [676]~P2(x6761)+E(f28(x6761,f4(x6761)),f4(a1))
% 55.04/55.64 [680]~P24(x6801)+E(f10(x6801,f3(x6801)),f3(x6801))
% 55.04/55.64 [681]~P55(x6811)+E(f26(x6811,f3(x6811)),f3(x6811))
% 55.04/55.64 [682]~P7(x6821)+E(f26(x6821,f3(x6821)),f3(x6821))
% 55.04/55.64 [683]~P56(x6831)+E(f26(x6831,f4(x6831)),f4(x6831))
% 55.04/55.64 [684]~P30(x6841)+E(f8(x6841,f3(x6841)),f3(x6841))
% 55.04/55.64 [685]~P50(x6851)+E(f8(x6851,f4(x6851)),f4(x6851))
% 55.04/55.64 [686]~P1(x6861)+E(f13(x6861,f3(x6861)),f3(x6861))
% 55.04/55.64 [687]~P38(x6871)+E(f13(x6871,f3(x6871)),f3(x6871))
% 55.04/55.64 [688]~P2(x6881)+E(f13(x6881,f4(x6881)),f4(x6881))
% 55.04/55.64 [746]~P50(x7461)+~P12(x7461,f3(f72(x7461)))
% 55.04/55.64 [820]~P28(x8201)+E(f22(x8201,f4(x8201),f11(x8201)),f21(x8201))
% 55.04/55.64 [1084]~P9(a1,f3(a1),x10841)+P10(a1,x10841,f27(a69,f59(x10841)))
% 55.04/55.64 [1085]~P9(a1,f3(a1),x10851)+P9(a1,f27(a69,f25(x10851)),x10851)
% 55.04/55.64 [1162]~P49(x11621)+P10(x11621,f3(x11621),f12(x11621,f4(x11621),f4(x11621)))
% 55.04/55.64 [1291]~P9(a70,f3(a70),x12911)+P10(a70,f3(a70),f12(a70,f4(a70),x12911))
% 55.04/55.64 [740]~P16(x7401)+E(f10(f72(x7401),f3(f72(x7401))),f3(f72(x7401)))
% 55.04/55.64 [891]~P58(x8911)+E(f18(x8911,f4(x8911),f3(f72(x8911))),f4(f72(x8911)))
% 55.04/55.64 [892]~P29(x8921)+E(f18(x8921,f3(x8921),f3(f72(x8921))),f3(f72(x8921)))
% 55.04/55.64 [907]E(x9071,f3(a1))+E(f54(f54(f11(a1),f26(a1,x9071)),x9071),f4(a1))
% 55.04/55.64 [1035]E(x10351,f3(a1))+P10(a1,f3(a1),f54(f54(f11(a1),x10351),x10351))
% 55.04/55.64 [1246]~E(x12461,f3(a1))+~P10(a1,f3(a1),f54(f54(f11(a1),x12461),x12461))
% 55.04/55.64 [1300]~P9(a1,f3(a1),x13001)+E(f14(f12(a1,x13001,f4(a1))),f12(a69,f14(x13001),f4(a69)))
% 55.04/55.64 [1301]~P9(a1,f3(a1),x13011)+E(f25(f12(a1,x13011,f4(a1))),f12(a69,f25(x13011),f4(a69)))
% 55.04/55.64 [1435]~P9(a1,f28(a2,x14351),f28(a2,a83))+P9(a1,f28(a2,f54(f15(a2,a82),x14351)),a74)
% 55.04/55.64 [1436]~P9(a1,f28(a2,x14361),f28(a2,a83))+P9(a1,f28(a2,f54(f15(a2,a82),x14361)),a33)
% 55.04/55.64 [1437]~P9(a1,f28(a2,x14371),f28(a2,a83))+P9(a1,f28(a2,f54(f15(a2,a82),x14371)),a34)
% 55.04/55.64 [1516]~P9(a1,f3(a1),x15161)+P9(a1,f27(a69,f9(a69,f59(x15161),f4(a69))),x15161)
% 55.04/55.64 [1600]~P10(a70,x16001,f3(a70))+P10(a70,f12(a70,f12(a70,f4(a70),x16001),x16001),f3(a70))
% 55.04/55.64 [1713]P10(a70,x17131,f3(a70))+~P10(a70,f12(a70,f12(a70,f4(a70),x17131),x17131),f3(a70))
% 55.04/55.64 [1803]~P10(a1,f28(a2,f54(f15(a2,a80),x18031)),f28(a2,f54(f15(a2,a80),f3(a2))))+P10(a1,f28(a2,f54(f15(a2,f23(a2,f26(a2,f54(f15(a2,a80),f3(a2))),a80)),x18031)),f4(a1))
% 55.04/55.64 [1806]P10(a1,f28(a2,f54(f15(a2,a80),x18061)),f28(a2,f54(f15(a2,a80),f3(a2))))+~P10(a1,f28(a2,f54(f15(a2,f23(a2,f26(a2,f54(f15(a2,a80),f3(a2))),a80)),x18061)),f4(a1))
% 55.04/55.64 [741]~E(x7411,x7412)+P9(a1,x7411,x7412)
% 55.04/55.64 [744]~E(x7441,x7442)+P9(a69,x7441,x7442)
% 55.04/55.64 [760]~P40(x7601)+P9(x7601,x7602,x7602)
% 55.04/55.64 [761]~P58(x7611)+P13(x7611,x7612,x7612)
% 55.04/55.64 [846]~E(x8461,x8462)+~P10(a1,x8461,x8462)
% 55.04/55.64 [851]~E(x8511,x8512)+~P10(a69,x8511,x8512)
% 55.04/55.64 [852]~E(x8521,x8522)+~P10(a70,x8521,x8522)
% 55.04/55.64 [884]~P10(x8841,x8842,x8842)+~P40(x8841)
% 55.04/55.64 [925]P9(a1,x9252,x9251)+P9(a1,x9251,x9252)
% 55.04/55.64 [926]P9(a69,x9262,x9261)+P9(a69,x9261,x9262)
% 55.04/55.64 [927]P9(a70,x9272,x9271)+P9(a70,x9271,x9272)
% 55.04/55.64 [992]~P10(a1,x9921,x9922)+P9(a1,x9921,x9922)
% 55.04/55.64 [997]~P10(a69,x9971,x9972)+P9(a69,x9971,x9972)
% 55.04/55.64 [998]~P10(a70,x9981,x9982)+P9(a70,x9981,x9982)
% 55.04/55.64 [701]~P40(x7012)+P40(f77(x7011,x7012))
% 55.04/55.64 [702]~P41(x7022)+P41(f77(x7021,x7022))
% 55.04/55.64 [703]~P45(x7032)+P45(f77(x7031,x7032))
% 55.04/55.64 [704]~P43(x7042)+P43(f77(x7041,x7042))
% 55.04/55.64 [705]~P27(x7052)+P27(f77(x7051,x7052))
% 55.04/55.64 [706]~P37(x7062)+P37(f77(x7061,x7062))
% 55.04/55.64 [718]E(x7181,x7182)+~E(f27(a69,x7181),f27(a69,x7182))
% 55.04/55.64 [770]~P24(x7701)+E(f9(x7701,x7702,x7702),f3(x7701))
% 55.04/55.64 [777]~P58(x7771)+P13(x7771,x7772,f3(x7771))
% 55.04/55.64 [778]~P58(x7781)+P13(x7781,f4(x7781),x7782)
% 55.04/55.64 [796]P9(a70,x7962,x7961)+E(f17(x7961,x7962),f3(a70))
% 55.04/55.64 [819]~E(x8192,f10(a1,x8191))+E(f12(a1,x8191,x8192),f3(a1))
% 55.04/55.64 [853]~P30(x8531)+P9(x8531,x8532,f8(x8531,x8532))
% 55.04/55.64 [857]~E(f12(a69,x8572,x8571),x8572)+E(x8571,f3(a69))
% 55.04/55.64 [859]~P3(x8592)+P10(a1,f3(a1),f52(x8591,x8592))
% 55.04/55.64 [860]~P3(x8602)+P10(a1,f3(a1),f53(x8601,x8602))
% 55.04/55.64 [861]~P1(x8611)+P9(a1,f3(a1),f28(x8611,x8612))
% 55.04/55.64 [864]~P10(a69,x8642,x8641)+~E(x8641,f3(a69))
% 55.04/55.64 [873]E(x8731,f3(a69))+~E(f12(a69,x8732,x8731),f3(a69))
% 55.04/55.64 [874]E(x8741,f3(a69))+~E(f12(a69,x8741,x8742),f3(a69))
% 55.04/55.64 [885]~P30(x8851)+P9(x8851,f3(x8851),f8(x8851,x8852))
% 55.04/55.64 [913]E(x9131,f10(a1,x9132))+~E(f12(a1,x9132,x9131),f3(a1))
% 55.04/55.64 [942]~P30(x9421)+P9(x9421,f10(x9421,x9422),f8(x9421,x9422))
% 55.04/55.64 [990]~P1(x9901)+~P10(a1,f28(x9901,x9902),f3(a1))
% 55.04/55.64 [1007]~P9(a69,x10071,x10072)+E(f9(a69,x10071,x10072),f3(a69))
% 55.04/55.64 [1014]P9(a69,x10141,x10142)+~E(f9(a69,x10141,x10142),f3(a69))
% 55.04/55.64 [1020]~P30(x10201)+~P10(x10201,f8(x10201,x10202),f3(x10201))
% 55.04/55.64 [1031]~P9(a1,x10311,x10312)+P9(a69,f14(x10311),f14(x10312))
% 55.04/55.64 [1032]~P9(a1,x10321,x10322)+P9(a69,f25(x10321),f25(x10322))
% 55.04/55.64 [1046]~P9(a70,x10462,x10461)+E(f9(a70,x10461,x10462),f17(x10461,x10462))
% 55.04/55.64 [1078]P9(a1,x10781,x10782)+~P9(a1,f8(a1,x10781),x10782)
% 55.04/55.64 [1088]P9(a69,x10881,f25(x10882))+~P9(a1,f27(a69,x10881),x10882)
% 55.04/55.64 [1089]P9(a69,f14(x10891),x10892)+~P9(a1,x10891,f27(a69,x10892))
% 55.04/55.64 [1116]~P10(a69,x11161,x11162)+P10(a1,f27(a69,x11161),f27(a69,x11162))
% 55.04/55.64 [1117]~P9(a69,x11171,x11172)+P9(a1,f27(a69,x11171),f27(a69,x11172))
% 55.04/55.64 [1161]~P9(a1,f8(a1,x11612),x11611)+P9(a1,f10(a1,x11611),x11612)
% 55.04/55.64 [1186]P10(a69,x11861,x11862)+~P10(a1,f27(a69,x11861),f27(a69,x11862))
% 55.04/55.64 [1187]P9(a69,x11871,x11872)+~P9(a1,f27(a69,x11871),f27(a69,x11872))
% 55.04/55.64 [1270]~P10(a69,x12702,x12701)+P10(a69,f3(a69),f9(a69,x12701,x12702))
% 55.04/55.64 [1271]~P10(a70,x12711,x12712)+P10(a70,f9(a70,x12711,x12712),f3(a70))
% 55.04/55.64 [1272]~P9(a1,x12721,x12722)+P9(a1,f9(a1,x12721,x12722),f3(a1))
% 55.04/55.64 [1323]~P10(a1,f10(a1,x13231),x13232)+P10(a1,f3(a1),f12(a1,x13231,x13232))
% 55.04/55.64 [1324]~P9(a1,f10(a1,x13241),x13242)+P9(a1,f3(a1),f12(a1,x13241,x13242))
% 55.04/55.64 [1325]~P10(a1,x13252,f10(a1,x13251))+P10(a1,f12(a1,x13251,x13252),f3(a1))
% 55.04/55.64 [1326]~P9(a1,x13262,f10(a1,x13261))+P9(a1,f12(a1,x13261,x13262),f3(a1))
% 55.04/55.64 [1359]P10(a69,x13591,x13592)+~P10(a69,f3(a69),f9(a69,x13592,x13591))
% 55.04/55.64 [1360]P10(a70,x13601,x13602)+~P10(a70,f9(a70,x13601,x13602),f3(a70))
% 55.04/55.64 [1361]P9(a1,x13611,x13612)+~P9(a1,f9(a1,x13611,x13612),f3(a1))
% 55.04/55.64 [1390]P10(a1,x13901,f10(a1,x13902))+~P10(a1,f12(a1,x13902,x13901),f3(a1))
% 55.04/55.64 [1391]P9(a1,x13911,f10(a1,x13912))+~P9(a1,f12(a1,x13912,x13911),f3(a1))
% 55.04/55.64 [1392]P10(a1,f10(a1,x13921),x13922)+~P10(a1,f3(a1),f12(a1,x13921,x13922))
% 55.04/55.64 [1393]P9(a1,f10(a1,x13931),x13932)+~P9(a1,f3(a1),f12(a1,x13931,x13932))
% 55.04/55.64 [725]~P24(x7251)+E(f10(x7251,f10(x7251,x7252)),x7252)
% 55.04/55.64 [726]~P43(x7261)+E(f10(x7261,f10(x7261,x7262)),x7262)
% 55.04/55.64 [727]~P55(x7271)+E(f26(x7271,f26(x7271,x7272)),x7272)
% 55.04/55.64 [747]~P2(x7471)+E(f28(x7471,f29(x7471,x7472)),f8(a1,x7472))
% 55.04/55.64 [748]~P1(x7481)+E(f8(a1,f28(x7481,x7482)),f28(x7481,x7482))
% 55.04/55.64 [756]~P1(x7561)+E(f28(x7561,f10(x7561,x7562)),f28(x7561,x7562))
% 55.04/55.64 [757]~P30(x7571)+E(f8(x7571,f10(x7571,x7572)),f8(x7571,x7572))
% 55.04/55.64 [758]~P30(x7581)+E(f8(x7581,f8(x7581,x7582)),f8(x7581,x7582))
% 55.04/55.64 [759]~P50(x7591)+E(f13(x7591,f13(x7591,x7592)),f13(x7591,x7592))
% 55.04/55.64 [763]~P4(x7631)+E(f54(f54(f21(x7631),x7632),f4(a69)),x7632)
% 55.04/55.64 [764]~P58(x7641)+E(f54(f54(f21(x7641),x7642),f4(a69)),x7642)
% 55.04/55.64 [771]~P4(x7711)+E(f54(f54(f11(x7711),x7712),f4(x7711)),x7712)
% 55.04/55.64 [772]~P5(x7721)+E(f54(f54(f11(x7721),x7722),f4(x7721)),x7722)
% 55.04/55.64 [773]~P58(x7731)+E(f54(f54(f11(x7731),x7732),f4(x7731)),x7732)
% 55.04/55.64 [774]~P28(x7741)+E(f54(f54(f21(x7741),x7742),f3(a69)),f4(x7741))
% 55.04/55.64 [775]~P58(x7751)+E(f54(f54(f21(x7751),x7752),f3(a69)),f4(x7751))
% 55.04/55.64 [779]~P17(x7791)+E(f12(x7791,x7792,f3(x7791)),x7792)
% 55.04/55.64 [780]~P58(x7801)+E(f12(x7801,x7802,f3(x7801)),x7802)
% 55.04/55.64 [781]~P25(x7811)+E(f12(x7811,x7812,f3(x7811)),x7812)
% 55.04/55.64 [782]~P24(x7821)+E(f9(x7821,x7822,f3(x7821)),x7822)
% 55.04/55.64 [783]~P17(x7831)+E(f12(x7831,f3(x7831),x7832),x7832)
% 55.04/55.64 [784]~P58(x7841)+E(f12(x7841,f3(x7841),x7842),x7842)
% 55.04/55.64 [785]~P25(x7851)+E(f12(x7851,f3(x7851),x7852),x7852)
% 55.04/55.64 [786]~P58(x7861)+E(f23(x7861,f4(x7861),x7862),x7862)
% 55.04/55.64 [793]~P3(x7931)+E(f54(f54(f11(x7931),x7932),f3(x7931)),f3(x7931))
% 55.04/55.64 [794]~P64(x7941)+E(f54(f54(f11(x7941),x7942),f3(x7941)),f3(x7941))
% 55.04/55.64 [795]~P58(x7951)+E(f54(f54(f11(x7951),x7952),f3(x7951)),f3(x7951))
% 55.04/55.64 [821]~P57(x8211)+E(f23(x8211,f3(x8211),x8212),f3(f72(x8211)))
% 55.04/55.64 [822]~P29(x8221)+E(f16(x8221,f3(x8221),x8222),f3(f72(x8221)))
% 55.04/55.64 [829]~P24(x8291)+E(f9(x8291,f3(x8291),x8292),f10(x8291,x8292))
% 55.04/55.64 [831]~E(x8311,x8312)+E(f12(a1,x8311,f10(a1,x8312)),f3(a1))
% 55.04/55.64 [833]~P2(x8331)+E(f13(x8331,f29(x8331,x8332)),f29(x8331,f13(a1,x8332)))
% 55.04/55.64 [834]~P46(x8341)+E(f29(x8341,f10(a1,x8342)),f10(x8341,f29(x8341,x8342)))
% 55.04/55.64 [843]~P55(x8431)+E(f26(x8431,f10(x8431,x8432)),f10(x8431,f26(x8431,x8432)))
% 55.04/55.64 [844]~P6(x8441)+E(f26(x8441,f8(x8441,x8442)),f8(x8441,f26(x8441,x8442)))
% 55.04/55.64 [845]~P1(x8451)+E(f13(x8451,f10(x8451,x8452)),f10(x8451,f13(x8451,x8452)))
% 55.04/55.64 [877]~P24(x8771)+E(f12(x8771,x8772,f10(x8771,x8772)),f3(x8771))
% 55.04/55.64 [878]~P24(x8781)+E(f12(x8781,f10(x8781,x8782),x8782),f3(x8781))
% 55.04/55.64 [879]~P16(x8791)+E(f12(x8791,f10(x8791,x8792),x8792),f3(x8791))
% 55.04/55.64 [910]~P50(x9101)+E(f54(f54(f11(x9101),x9102),f13(x9101,x9102)),f8(x9101,x9102))
% 55.04/55.64 [978]E(x9781,x9782)+~E(f12(a1,x9781,f10(a1,x9782)),f3(a1))
% 55.04/55.64 [982]E(x9821,x9822)+~E(f54(x9821,f43(x9822,x9821)),f54(x9822,f43(x9822,x9821)))
% 55.04/55.64 [1002]~P50(x10021)+E(f54(f54(f11(x10021),f13(x10021,x10022)),f8(x10021,x10022)),x10022)
% 55.04/55.64 [1024]~P30(x10241)+P9(x10241,f10(x10241,f8(x10241,x10242)),f3(x10241))
% 55.04/55.64 [1063]~P9(a69,x10631,x10632)+E(f12(a69,x10631,f67(x10632,x10631)),x10632)
% 55.04/55.64 [1064]~P9(a69,x10641,x10642)+E(f12(a69,x10641,f68(x10642,x10641)),x10642)
% 55.04/55.64 [1065]~E(x10651,x10652)+P10(a70,x10651,f12(a70,x10652,f4(a70)))
% 55.04/55.64 [1109]~P49(x11091)+P10(x11091,x11092,f12(x11091,x11092,f4(x11091)))
% 55.04/55.64 [1190]P10(a69,x11902,x11901)+E(f12(a69,x11901,f9(a69,x11902,x11901)),x11902)
% 55.04/55.64 [1265]~P9(a69,x12651,x12652)+E(f12(a69,x12651,f9(a69,x12652,x12651)),x12652)
% 55.04/55.64 [1266]~P9(a69,x12662,x12661)+E(f9(a69,x12661,f9(a69,x12661,x12662)),x12662)
% 55.04/55.64 [1267]~P9(a69,x12672,x12671)+E(f12(a69,f9(a69,x12671,x12672),x12672),x12671)
% 55.04/55.64 [1273]~P10(a70,x12731,x12732)+P10(a70,x12731,f12(a70,x12732,f4(a70)))
% 55.04/55.64 [1274]~P9(a70,x12741,x12742)+P10(a70,x12741,f12(a70,x12742,f4(a70)))
% 55.04/55.64 [1275]~P10(a70,x12751,x12752)+P9(a70,x12751,f9(a70,x12752,f4(a70)))
% 55.04/55.64 [1277]~P10(a70,x12771,x12772)+P9(a70,f12(a70,x12771,f4(a70)),x12772)
% 55.04/55.64 [1347]~P9(a69,x13472,x13471)+E(f9(a1,f27(a69,x13471),f27(a69,x13472)),f27(a69,f9(a69,x13471,x13472)))
% 55.04/55.64 [1363]P10(a70,x13631,x13632)+~P9(a70,x13631,f9(a70,x13632,f4(a70)))
% 55.04/55.64 [1364]P9(a70,x13641,x13642)+~P10(a70,x13641,f12(a70,x13642,f4(a70)))
% 55.04/55.64 [1365]P10(a70,x13651,x13652)+~P9(a70,f12(a70,x13651,f4(a70)),x13652)
% 55.04/55.64 [1367]~P9(a69,x13671,x13672)+P10(a1,f27(a69,x13671),f12(a1,f27(a69,x13672),f4(a1)))
% 55.04/55.64 [1368]~P10(a69,x13681,x13682)+P9(a1,f12(a1,f27(a69,x13681),f4(a1)),f27(a69,x13682))
% 55.04/55.64 [1431]P10(a1,x14311,f27(a69,x14312))+~P9(a69,f12(a69,f25(x14311),f4(a69)),x14312)
% 55.04/55.64 [1519]P9(a69,x15191,x15192)+~P10(a1,f27(a69,x15191),f12(a1,f27(a69,x15192),f4(a1)))
% 55.04/55.64 [1520]P10(a69,x15201,x15202)+~P9(a1,f12(a1,f27(a69,x15201),f4(a1)),f27(a69,x15202))
% 55.04/55.64 [734]~E(x7342,f3(a69))+E(f54(f54(f21(a69),x7341),x7342),f4(a69))
% 55.04/55.64 [735]~E(x7352,f3(a69))+E(f54(f54(f11(a69),x7351),x7352),f3(a69))
% 55.04/55.64 [737]~E(x7371,f3(a69))+E(f54(f54(f11(a69),x7371),x7372),f3(a69))
% 55.04/55.64 [752]~P44(x7521)+E(f54(f54(f11(x7521),x7522),x7522),x7522)
% 55.04/55.64 [805]~P4(x8051)+E(f54(f54(f11(x8051),f4(x8051)),x8052),x8052)
% 55.04/55.64 [806]~P5(x8061)+E(f54(f54(f11(x8061),f4(x8061)),x8062),x8062)
% 55.04/55.64 [807]~P58(x8071)+E(f54(f54(f11(x8071),f4(x8071)),x8072),x8072)
% 55.04/55.64 [812]~P4(x8121)+E(f54(f54(f21(x8121),f4(x8121)),x8122),f4(x8121))
% 55.04/55.64 [814]~P3(x8141)+E(f54(f54(f11(x8141),f3(x8141)),x8142),f3(x8141))
% 55.04/55.64 [815]~P64(x8151)+E(f54(f54(f11(x8151),f3(x8151)),x8152),f3(x8151))
% 55.04/55.64 [816]~P58(x8161)+E(f54(f54(f11(x8161),f3(x8161)),x8162),f3(x8161))
% 55.04/55.64 [827]E(x8271,f4(a69))+~E(f54(f54(f11(a69),x8272),x8271),f4(a69))
% 55.04/55.64 [828]E(x8281,f4(a69))+~E(f54(f54(f11(a69),x8281),x8282),f4(a69))
% 55.04/55.64 [840]~P17(x8401)+E(f12(f72(x8401),x8402,f3(f72(x8401))),x8402)
% 55.04/55.64 [841]~P16(x8411)+E(f9(f72(x8411),x8412,f3(f72(x8411))),x8412)
% 55.04/55.64 [842]~P17(x8421)+E(f12(f72(x8421),f3(f72(x8421)),x8422),x8422)
% 55.04/55.64 [868]~P57(x8681)+E(f23(x8681,x8682,f3(f72(x8681))),f3(f72(x8681)))
% 55.04/55.64 [869]~P57(x8691)+E(f24(x8691,f3(f72(x8691)),x8692),f3(f72(x8691)))
% 55.04/55.64 [870]~P57(x8701)+E(f20(x8701,f3(f72(x8701)),x8702),f3(f72(x8701)))
% 55.04/55.64 [871]~P57(x8711)+E(f7(x8711,f3(f72(x8711)),x8712),f3(f72(x8711)))
% 55.04/55.64 [920]~P16(x9201)+E(f9(f72(x9201),f3(f72(x9201)),x9202),f10(f72(x9201),x9202))
% 55.04/55.64 [936]~P57(x9361)+E(f54(f54(f11(f72(x9361)),x9362),f3(f72(x9361))),f3(f72(x9361)))
% 55.04/55.64 [1001]~P29(x10011)+E(f18(x10011,x10012,f3(f72(x10011))),f16(x10011,x10012,f3(a69)))
% 55.04/55.64 [1059]~E(x10592,f3(a69))+P10(a69,f3(a69),f54(f54(f21(a69),x10591),x10592))
% 55.04/55.64 [1076]~P61(x10761)+P9(x10761,f3(x10761),f54(f54(f11(x10761),x10762),x10762))
% 55.04/55.64 [1137]~P50(x11371)+E(f54(f54(f11(x11371),f8(x11371,x11372)),f8(x11371,x11372)),f54(f54(f11(x11371),x11372),x11372))
% 55.04/55.64 [1243]~P10(a69,f3(a69),x12431)+P10(a69,f3(a69),f54(f54(f21(a69),x12431),x12432))
% 55.04/55.64 [1244]~P9(a70,f3(a70),x12441)+P9(a70,f3(a70),f54(f54(f21(a70),x12441),x12442))
% 55.04/55.64 [1264]E(x12641,f3(a70))+P10(a70,f3(a70),f54(f54(f21(a70),f8(a70,x12641)),x12642))
% 55.04/55.64 [1269]~E(x12692,f3(a69))+P10(a70,f3(a70),f54(f54(f21(a70),f8(a70,x12691)),x12692))
% 55.04/55.64 [1298]~P61(x12981)+~P10(x12981,f54(f54(f11(x12981),x12982),x12982),f3(x12981))
% 55.04/55.64 [1333]P10(a69,f3(a69),x13331)+~P10(a69,f3(a69),f54(f54(f11(a69),x13332),x13331))
% 55.04/55.64 [1334]P10(a69,f3(a69),x13341)+~P10(a69,f3(a69),f54(f54(f11(a69),x13341),x13342))
% 55.04/55.64 [1356]~P9(a1,f3(a1),x13561)+E(f14(f12(a1,x13561,f27(a69,x13562))),f12(a69,f14(x13561),x13562))
% 55.04/55.64 [1357]~P9(a1,f3(a1),x13571)+E(f25(f12(a1,x13571,f27(a69,x13572))),f12(a69,f25(x13571),x13572))
% 55.04/55.64 [1405]~P9(a1,f27(a69,x14052),x14051)+E(f14(f9(a1,x14051,f27(a69,x14052))),f9(a69,f14(x14051),x14052))
% 55.04/55.64 [1406]~P9(a1,f27(a69,x14062),x14061)+E(f25(f9(a1,x14061,f27(a69,x14062))),f9(a69,f25(x14061),x14062))
% 55.04/55.64 [1690]~P76(x16901)+E(f54(f54(f11(x16901),f12(x16901,x16902,f4(x16901))),f9(x16901,x16902,f4(x16901))),f9(x16901,f54(f54(f11(x16901),x16902),x16902),f4(x16901)))
% 55.04/55.64 [854]~P57(x8541)+E(f54(f15(x8541,f3(f72(x8541))),x8542),f3(x8541))
% 55.04/55.64 [855]~P58(x8551)+E(f54(f15(x8551,f4(f72(x8551))),x8552),f4(x8551))
% 55.04/55.64 [985]~P57(x9851)+E(f54(f54(f11(f72(x9851)),f3(f72(x9851))),x9852),f3(f72(x9851)))
% 55.04/55.64 [1034]~P54(x10341)+E(f54(f54(f11(x10341),f10(x10341,f4(x10341))),x10342),f10(x10341,x10342))
% 55.04/55.64 [1100]E(f8(a70,x11001),f4(a70))+~E(f8(a70,f54(f54(f11(a70),x11001),x11002)),f4(a70))
% 55.04/55.64 [1119]~E(f27(a69,f25(x11191)),x11191)+E(f25(f54(f54(f21(a1),x11191),x11192)),f54(f54(f21(a69),f25(x11191)),x11192))
% 55.04/55.64 [1474]E(x14741,f3(a1))+~E(f12(a1,f54(f54(f11(a1),x14742),x14742),f54(f54(f11(a1),x14741),x14741)),f3(a1))
% 55.04/55.64 [1475]E(x14751,f3(a1))+~E(f12(a1,f54(f54(f11(a1),x14751),x14751),f54(f54(f11(a1),x14752),x14752)),f3(a1))
% 55.04/55.64 [1477]~P58(x14771)+E(f12(x14771,x14772,x14772),f54(f54(f11(x14771),f12(x14771,f4(x14771),f4(x14771))),x14772))
% 55.04/55.64 [1501]E(x15011,f3(a69))+E(f54(f54(f11(a69),x15012),f54(f54(f21(a69),x15012),f9(a69,x15011,f4(a69)))),f54(f54(f21(a69),x15012),x15011))
% 55.04/55.64 [1759]~P9(a1,f3(a1),x17592)+P9(a1,f12(a1,f54(f54(f11(a1),f27(a69,x17591)),x17592),f4(a1)),f54(f54(f21(a1),f12(a1,x17592,f4(a1))),x17591))
% 55.04/55.64 [1710]E(x17101,f3(a69))+E(f12(a69,x17102,f54(f54(f11(a69),f9(a69,x17101,f4(a69))),x17102)),f54(f54(f11(a69),x17101),x17102))
% 55.04/55.64 [949]~P58(x9491)+E(f12(x9491,x9492,x9493),f12(x9491,x9493,x9492))
% 55.04/55.64 [1004]P9(a69,x10041,x10042)+~E(x10042,f12(a69,x10041,x10043))
% 55.04/55.64 [1067]E(x10671,x10672)+~E(f12(a69,x10673,x10671),f12(a69,x10673,x10672))
% 55.04/55.64 [1068]E(x10681,x10682)+~E(f12(a69,x10681,x10683),f12(a69,x10682,x10683))
% 55.04/55.64 [1252]~P10(a69,x12521,x12523)+P10(a69,x12521,f12(a69,x12522,x12523))
% 55.04/55.64 [1254]~P10(a69,x12541,x12542)+P10(a69,x12541,f12(a69,x12542,x12543))
% 55.04/55.64 [1256]~P9(a69,x12561,x12563)+P9(a69,x12561,f12(a69,x12562,x12563))
% 55.04/55.64 [1258]~P9(a69,x12581,x12582)+P9(a69,x12581,f12(a69,x12582,x12583))
% 55.04/55.64 [1259]~P10(a69,x12591,x12593)+P10(a69,f9(a69,x12591,x12592),x12593)
% 55.04/55.64 [1284]~P10(a1,f3(a1),x12843)+P10(a1,f3(a1),f62(x12841,x12842,x12843))
% 55.04/55.64 [1348]P10(a69,x13481,x13482)+~P10(a69,f12(a69,x13481,x13483),x13482)
% 55.04/55.64 [1351]P9(a69,x13511,x13512)+~P9(a69,f12(a69,x13513,x13511),x13512)
% 55.04/55.64 [1352]P9(a69,x13521,x13522)+~P9(a69,f12(a69,x13521,x13523),x13522)
% 55.04/55.64 [1417]~P10(a69,x14172,x14173)+P10(a69,f12(a69,x14171,x14172),f12(a69,x14171,x14173))
% 55.04/55.64 [1418]~P10(a69,x14181,x14183)+P10(a69,f12(a69,x14181,x14182),f12(a69,x14183,x14182))
% 55.04/55.64 [1419]~P10(a70,x14191,x14193)+P10(a70,f12(a70,x14191,x14192),f12(a70,x14193,x14192))
% 55.04/55.64 [1420]~P9(a1,x14202,x14203)+P9(a1,f12(a1,x14201,x14202),f12(a1,x14201,x14203))
% 55.04/55.64 [1421]~P9(a69,x14212,x14213)+P9(a69,f12(a69,x14211,x14212),f12(a69,x14211,x14213))
% 55.04/55.64 [1422]~P9(a69,x14221,x14223)+P9(a69,f12(a69,x14221,x14222),f12(a69,x14223,x14222))
% 55.04/55.64 [1423]~P9(a69,x14233,x14232)+P9(a69,f9(a69,x14231,x14232),f9(a69,x14231,x14233))
% 55.04/55.64 [1424]~P9(a69,x14241,x14243)+P9(a69,f9(a69,x14241,x14242),f9(a69,x14243,x14242))
% 55.04/55.64 [1425]~P9(a70,x14252,x14253)+P9(a70,f12(a70,x14251,x14252),f12(a70,x14251,x14253))
% 55.04/55.64 [1497]~P10(a69,f12(a69,x14971,x14973),x14972)+P10(a69,x14971,f9(a69,x14972,x14973))
% 55.04/55.64 [1498]~P9(a69,f9(a69,x14981,x14983),x14982)+P9(a69,x14981,f12(a69,x14982,x14983))
% 55.04/55.64 [1499]~P10(a69,x14991,f9(a69,x14993,x14992))+P10(a69,f12(a69,x14991,x14992),x14993)
% 55.04/55.64 [1500]~P9(a69,x15001,f12(a69,x15003,x15002))+P9(a69,f9(a69,x15001,x15002),x15003)
% 55.04/55.64 [1597]P10(a69,x15971,x15972)+~P10(a69,f12(a69,x15973,x15971),f12(a69,x15973,x15972))
% 55.04/55.64 [1598]P9(a69,x15981,x15982)+~P9(a69,f12(a69,x15983,x15981),f12(a69,x15983,x15982))
% 55.04/55.64 [959]P11(x9591,x9592,x9593)+~E(f54(x9593,f57(x9593)),f54(x9593,f66(x9593)))
% 55.04/55.64 [1016]~P24(x10161)+E(f12(x10161,x10162,f10(x10161,x10163)),f9(x10161,x10162,x10163))
% 55.04/55.64 [1017]~P16(x10171)+E(f12(x10171,x10172,f10(x10171,x10173)),f9(x10171,x10172,x10173))
% 55.04/55.64 [1018]~P54(x10181)+E(f12(x10181,x10182,f10(x10181,x10183)),f9(x10181,x10182,x10183))
% 55.04/55.64 [1019]~P24(x10191)+E(f9(x10191,x10192,f10(x10191,x10193)),f12(x10191,x10192,x10193))
% 55.04/55.64 [1071]~P24(x10711)+E(f12(x10711,f9(x10711,x10712,x10713),x10713),x10712)
% 55.04/55.64 [1072]~P24(x10721)+E(f9(x10721,f12(x10721,x10722,x10723),x10723),x10722)
% 55.04/55.64 [1115]~P16(x11151)+E(f10(x11151,f9(x11151,x11152,x11153)),f9(x11151,x11153,x11152))
% 55.04/55.64 [1160]~P24(x11601)+E(f12(x11601,f10(x11601,x11602),f12(x11601,x11602,x11603)),x11603)
% 55.04/55.64 [1192]~P53(x11921)+E(f10(f72(x11921),f23(x11921,x11922,x11923)),f23(x11921,f10(x11921,x11922),x11923))
% 55.04/55.64 [1193]~P16(x11931)+E(f10(f72(x11931),f16(x11931,x11932,x11933)),f16(x11931,f10(x11931,x11932),x11933))
% 55.04/55.64 [1227]~P46(x12271)+E(f12(x12271,f29(x12271,x12272),f29(x12271,x12273)),f29(x12271,f12(a1,x12272,x12273)))
% 55.04/55.64 [1228]~P46(x12281)+E(f9(x12281,f29(x12281,x12282),f29(x12281,x12283)),f29(x12281,f9(a1,x12282,x12283)))
% 55.04/55.64 [1230]~P24(x12301)+E(f12(x12301,f10(x12301,x12302),f10(x12301,x12303)),f10(x12301,f12(x12301,x12303,x12302)))
% 55.04/55.64 [1231]~P16(x12311)+E(f12(x12311,f10(x12311,x12312),f10(x12311,x12313)),f10(x12311,f12(x12311,x12312,x12313)))
% 55.04/55.64 [1232]~P16(x12321)+E(f9(x12321,f10(x12321,x12322),f10(x12321,x12323)),f10(x12321,f9(x12321,x12322,x12323)))
% 55.04/55.64 [1282]~P1(x12821)+E(f28(x12821,f9(x12821,x12822,x12823)),f28(x12821,f9(x12821,x12823,x12822)))
% 55.04/55.64 [1283]~P30(x12831)+E(f8(x12831,f9(x12831,x12832,x12833)),f8(x12831,f9(x12831,x12833,x12832)))
% 55.04/55.64 [1492]~P9(a69,x14922,x14923)+E(f9(a69,f12(a69,x14921,x14922),x14923),f9(a69,x14921,f9(a69,x14923,x14922)))
% 55.04/55.64 [1493]~P9(a69,x14933,x14932)+E(f12(a69,x14931,f9(a69,x14932,x14933)),f9(a69,f12(a69,x14931,x14932),x14933))
% 55.04/55.64 [1495]~P9(a69,x14952,x14951)+E(f12(a69,f9(a69,x14951,x14952),x14953),f9(a69,f12(a69,x14951,x14953),x14952))
% 55.04/55.64 [1562]~P9(a69,x15623,x15622)+P9(a69,x15621,f9(a69,f12(a69,x15622,x15621),x15623))
% 55.04/55.64 [1621]~P1(x16211)+P9(a1,f28(x16211,f12(x16211,x16212,x16213)),f12(a1,f28(x16211,x16212),f28(x16211,x16213)))
% 55.04/55.64 [1622]~P1(x16221)+P9(a1,f28(x16221,f9(x16221,x16222,x16223)),f12(a1,f28(x16221,x16222),f28(x16221,x16223)))
% 55.04/55.64 [1623]~P1(x16231)+P9(a1,f9(a1,f28(x16231,x16232),f28(x16231,x16233)),f28(x16231,f12(x16231,x16232,x16233)))
% 55.04/55.64 [1624]~P1(x16241)+P9(a1,f9(a1,f28(x16241,x16242),f28(x16241,x16243)),f28(x16241,f9(x16241,x16242,x16243)))
% 55.04/55.64 [1635]~P30(x16351)+P9(x16351,f8(x16351,f12(x16351,x16352,x16353)),f12(x16351,f8(x16351,x16352),f8(x16351,x16353)))
% 55.04/55.64 [1636]~P30(x16361)+P9(x16361,f8(x16361,f9(x16361,x16362,x16363)),f12(x16361,f8(x16361,x16362),f8(x16361,x16363)))
% 55.04/55.64 [1637]~P30(x16371)+P9(x16371,f9(x16371,f8(x16371,x16372),f8(x16371,x16373)),f8(x16371,f9(x16371,x16373,x16372)))
% 55.04/55.64 [1638]~P30(x16381)+P9(x16381,f9(x16381,f8(x16381,x16382),f8(x16381,x16383)),f8(x16381,f9(x16381,x16382,x16383)))
% 55.04/55.64 [1790]~P51(x17901)+P13(f72(x17901),f54(f54(f21(f72(x17901)),f18(x17901,f10(x17901,x17902),f18(x17901,f4(x17901),f3(f72(x17901))))),f19(x17901,x17902,x17903)),x17903)
% 55.04/55.64 [904]~E(x9042,f3(a69))+E(f54(f54(f11(a69),x9041),x9042),f54(f54(f11(a69),x9043),x9042))
% 55.04/55.64 [906]~E(x9061,f3(a69))+E(f54(f54(f11(a69),x9061),x9062),f54(f54(f11(a69),x9061),x9063))
% 55.04/55.64 [935]~P58(x9351)+E(f54(f54(f11(x9351),x9352),x9353),f54(f54(f11(x9351),x9353),x9352))
% 55.04/55.64 [1135]~P70(x11351)+E(f54(f54(f11(x11351),f10(x11351,x11352)),x11353),f54(f54(f11(x11351),x11352),f10(x11351,x11353)))
% 55.04/55.64 [1136]~P70(x11361)+E(f54(f54(f11(x11361),f10(x11361,x11362)),f10(x11361,x11363)),f54(f54(f11(x11361),x11362),x11363))
% 55.04/55.64 [1213]~P24(x12131)+E(f12(x12131,x12132,f12(x12131,f10(x12131,x12132),x12133)),x12133)
% 55.04/55.64 [1218]~P53(x12181)+E(f23(x12181,x12182,f10(f72(x12181),x12183)),f10(f72(x12181),f23(x12181,x12182,x12183)))
% 55.04/55.64 [1286]~P16(x12861)+E(f18(x12861,f10(x12861,x12862),f10(f72(x12861),x12863)),f10(f72(x12861),f18(x12861,x12862,x12863)))
% 55.04/55.64 [1319]~P50(x13191)+P9(x13191,f3(x13191),f54(f54(f21(x13191),f8(x13191,x13192)),x13193))
% 55.04/55.64 [1336]P10(a69,f3(a69),x13361)+P9(a69,f54(f54(f11(a69),x13362),x13361),f54(f54(f11(a69),x13363),x13361))
% 55.04/55.64 [1337]P10(a69,f3(a69),x13371)+P9(a69,f54(f54(f11(a69),x13371),x13372),f54(f54(f11(a69),x13371),x13373))
% 55.04/55.64 [1371]~P9(a69,x13712,x13713)+P9(a69,f54(f54(f11(a69),x13711),x13712),f54(f54(f11(a69),x13711),x13713))
% 55.04/55.64 [1373]~P9(a69,x13731,x13733)+P9(a69,f54(f54(f11(a69),x13731),x13732),f54(f54(f11(a69),x13733),x13732))
% 55.04/55.64 [1410]~P30(x14101)+E(f8(x14101,f12(x14101,f8(x14101,x14102),f8(x14101,x14103))),f12(x14101,f8(x14101,x14102),f8(x14101,x14103)))
% 55.04/55.64 [1525]P10(a69,x15251,x15252)+~P10(a69,f54(f54(f11(a69),x15253),x15251),f54(f54(f11(a69),x15253),x15252))
% 55.04/55.64 [1526]P10(a69,x15261,x15262)+~P10(a69,f54(f54(f11(a69),x15261),x15263),f54(f54(f11(a69),x15262),x15263))
% 55.04/55.64 [1529]P10(a69,f3(a69),x15291)+~P10(a69,f54(f54(f11(a69),x15292),x15291),f54(f54(f11(a69),x15293),x15291))
% 55.04/55.64 [1530]P10(a69,f3(a69),x15301)+~P10(a69,f54(f54(f11(a69),x15301),x15302),f54(f54(f11(a69),x15301),x15303))
% 55.04/55.64 [1697]~P57(x16971)+E(f18(x16971,f54(f15(x16971,x16972),x16973),f24(x16971,x16972,x16973)),f12(f72(x16971),x16972,f23(x16971,x16973,f24(x16971,x16972,x16973))))
% 55.04/55.64 [1725]~P1(x17251)+P9(a1,f8(a1,f9(a1,f28(x17251,x17252),f28(x17251,x17253))),f28(x17251,f9(x17251,x17252,x17253)))
% 55.04/55.64 [1726]~P30(x17261)+P9(x17261,f8(x17261,f9(x17261,f8(x17261,x17262),f8(x17261,x17263))),f8(x17261,f9(x17261,x17262,x17263)))
% 55.04/55.64 [1168]~P70(x11681)+E(f54(f54(f11(x11681),x11682),f10(x11681,x11683)),f10(x11681,f54(f54(f11(x11681),x11682),x11683)))
% 55.04/55.64 [1170]~P3(x11701)+E(f54(f54(f11(x11701),x11702),f10(x11701,x11703)),f10(x11701,f54(f54(f11(x11701),x11702),x11703)))
% 55.04/55.64 [1191]~P44(x11911)+E(f54(f54(f11(x11911),x11912),f54(f54(f11(x11911),x11912),x11913)),f54(f54(f11(x11911),x11912),x11913))
% 55.04/55.64 [1206]~P53(x12061)+E(f54(f15(x12061,f10(f72(x12061),x12062)),x12063),f10(x12061,f54(f15(x12061,x12062),x12063)))
% 55.04/55.64 [1207]~P46(x12071)+E(f29(x12071,f54(f54(f21(a1),x12072),x12073)),f54(f54(f21(x12071),f29(x12071,x12072)),x12073))
% 55.04/55.64 [1214]~P48(x12141)+E(f28(x12141,f54(f54(f21(x12141),x12142),x12143)),f54(f54(f21(a1),f28(x12141,x12142)),x12143))
% 55.04/55.64 [1219]~P70(x12191)+E(f54(f54(f11(x12191),f10(x12191,x12192)),x12193),f10(x12191,f54(f54(f11(x12191),x12192),x12193)))
% 55.04/55.64 [1220]~P55(x12201)+E(f54(f54(f21(x12201),f26(x12201,x12202)),x12203),f26(x12201,f54(f54(f21(x12201),x12202),x12203)))
% 55.04/55.64 [1221]~P50(x12211)+E(f54(f54(f21(x12211),f8(x12211,x12212)),x12213),f8(x12211,f54(f54(f21(x12211),x12212),x12213)))
% 55.04/55.64 [1223]~P3(x12231)+E(f54(f54(f11(x12231),f10(x12231,x12232)),x12233),f10(x12231,f54(f54(f11(x12231),x12232),x12233)))
% 55.04/55.64 [1263]~P46(x12631)+E(f54(f54(f11(x12631),f29(x12631,x12632)),f29(x12631,x12633)),f29(x12631,f54(f54(f11(a1),x12632),x12633)))
% 55.04/55.64 [1278]~P48(x12781)+E(f54(f54(f11(a1),f28(x12781,x12782)),f28(x12781,x12783)),f28(x12781,f54(f54(f11(x12781),x12782),x12783)))
% 55.04/55.64 [1287]~P7(x12871)+E(f54(f54(f11(x12871),f26(x12871,x12872)),f26(x12871,x12873)),f26(x12871,f54(f54(f11(x12871),x12872),x12873)))
% 55.04/55.64 [1288]~P50(x12881)+E(f54(f54(f11(x12881),f8(x12881,x12882)),f8(x12881,x12883)),f8(x12881,f54(f54(f11(x12881),x12882),x12883)))
% 55.04/55.64 [1289]~P48(x12891)+E(f54(f54(f11(x12891),f13(x12891,x12892)),f13(x12891,x12893)),f13(x12891,f54(f54(f11(x12891),x12892),x12893)))
% 55.04/55.64 [1290]~P50(x12901)+E(f54(f54(f11(x12901),f13(x12901,x12902)),f13(x12901,x12903)),f13(x12901,f54(f54(f11(x12901),x12902),x12903)))
% 55.04/55.64 [1416]~P50(x14161)+E(f8(x14161,f54(f54(f21(x14161),f10(x14161,x14162)),x14163)),f8(x14161,f54(f54(f21(x14161),x14162),x14163)))
% 55.04/55.64 [1588]~P58(x15881)+E(f12(x15881,x15882,f54(f54(f11(x15881),x15883),x15882)),f54(f54(f11(x15881),f12(x15881,x15883,f4(x15881))),x15882))
% 55.04/55.64 [1589]~P58(x15891)+E(f12(x15891,f54(f54(f11(x15891),x15892),x15893),x15893),f54(f54(f11(x15891),f12(x15891,x15892,f4(x15891))),x15893))
% 55.04/55.64 [1611]~P2(x16111)+P9(a1,f28(x16111,f54(f54(f21(x16111),x16112),x16113)),f54(f54(f21(a1),f28(x16111,x16112)),x16113))
% 55.04/55.64 [1659]~P3(x16591)+P9(a1,f28(x16591,f54(f54(f11(x16591),x16592),x16593)),f54(f54(f11(a1),f28(x16591,x16593)),f53(x16592,x16591)))
% 55.04/55.64 [1660]~P3(x16601)+P9(a1,f28(x16601,f54(f54(f11(x16601),x16602),x16603)),f54(f54(f11(a1),f28(x16601,x16602)),f28(x16601,x16603)))
% 55.04/55.64 [1661]~P3(x16611)+P9(a1,f28(x16611,f54(f54(f11(x16611),x16612),x16613)),f54(f54(f11(a1),f28(x16611,x16612)),f52(x16613,x16611)))
% 55.04/55.64 [1691]~P61(x16911)+P9(x16911,f3(x16911),f12(x16911,f54(f54(f11(x16911),x16912),x16912),f54(f54(f11(x16911),x16913),x16913)))
% 55.04/55.64 [1730]~P76(x17301)+E(f54(f54(f11(x17301),f54(f54(f21(x17301),f10(x17301,f4(x17301))),x17302)),f54(f54(f21(x17301),x17303),x17302)),f54(f54(f21(x17301),f10(x17301,x17303)),x17302))
% 55.04/55.64 [1740]~P61(x17401)+~P10(x17401,f12(x17401,f54(f54(f11(x17401),x17402),x17402),f54(f54(f11(x17401),x17403),x17403)),f3(x17401))
% 55.04/55.64 [1769]~P3(x17691)+P9(a1,f28(x17691,f54(f54(f11(x17691),x17692),x17693)),f54(f54(f11(a1),f54(f54(f11(a1),f28(x17691,x17692)),f28(x17691,x17693))),f49(x17691)))
% 55.04/55.64 [1799]~P54(x17991)+E(f12(f72(x17991),f54(f54(f11(f72(x17991)),f18(x17991,f10(x17991,x17992),f18(x17991,f4(x17991),f3(f72(x17991))))),f24(x17991,x17993,x17992)),f18(x17991,f54(f15(x17991,x17993),x17992),f3(f72(x17991)))),x17993)
% 55.04/55.64 [1522]~P4(x15221)+E(f54(f54(f11(x15221),f54(f54(f21(x15221),x15222),x15223)),x15222),f54(f54(f11(x15221),x15222),f54(f54(f21(x15221),x15222),x15223)))
% 55.04/55.64 [1804]~P10(a70,f3(a70),x18043)+P10(a70,x18041,f12(a70,x18042,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x18042,x18041)),f4(a70))),x18043)))
% 55.04/55.64 [1805]~P10(a70,f3(a70),x18053)+P10(a70,f9(a70,x18051,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x18051,x18052)),f4(a70))),x18053)),x18052)
% 55.04/55.64 [1394]~P58(x13941)+E(f12(x13941,x13942,f12(x13941,x13943,x13944)),f12(x13941,x13943,f12(x13941,x13942,x13944)))
% 55.04/55.64 [1396]~P58(x13961)+E(f12(x13961,f12(x13961,x13962,x13963),x13964),f12(x13961,x13962,f12(x13961,x13963,x13964)))
% 55.04/55.64 [1397]~P19(x13971)+E(f12(x13971,f12(x13971,x13972,x13973),x13974),f12(x13971,x13972,f12(x13971,x13973,x13974)))
% 55.04/55.64 [1398]~P58(x13981)+E(f12(x13981,f12(x13981,x13982,x13983),x13984),f12(x13981,f12(x13981,x13982,x13984),x13983))
% 55.04/55.64 [1515]~P57(x15151)+E(f24(x15151,f18(x15151,x15152,x15153),x15154),f18(x15151,f54(f15(x15151,x15153),x15154),f24(x15151,x15153,x15154)))
% 55.04/55.64 [1544]~P57(x15441)+E(f18(x15441,f54(f54(f11(x15441),x15442),x15443),f23(x15441,x15442,x15444)),f23(x15441,x15442,f18(x15441,x15443,x15444)))
% 55.04/55.64 [1546]~P57(x15461)+E(f12(f72(x15461),f23(x15461,x15462,x15463),f23(x15461,x15464,x15463)),f23(x15461,f12(x15461,x15462,x15464),x15463))
% 55.04/55.64 [1547]~P53(x15471)+E(f9(f72(x15471),f23(x15471,x15472,x15473),f23(x15471,x15474,x15473)),f23(x15471,f9(x15471,x15472,x15474),x15473))
% 55.04/55.64 [1548]~P17(x15481)+E(f12(f72(x15481),f16(x15481,x15482,x15483),f16(x15481,x15484,x15483)),f16(x15481,f12(x15481,x15482,x15484),x15483))
% 55.04/55.64 [1549]~P16(x15491)+E(f9(f72(x15491),f16(x15491,x15492,x15493),f16(x15491,x15494,x15493)),f16(x15491,f9(x15491,x15492,x15494),x15493))
% 55.04/55.64 [1005]~P37(x10052)+E(f54(f10(f77(x10051,x10052),x10053),x10054),f10(x10052,f54(x10053,x10054)))
% 55.04/55.64 [1478]~P57(x14781)+E(f54(f15(x14781,x14782),f54(f15(x14781,x14783),x14784)),f54(f15(x14781,f20(x14781,x14782,x14783)),x14784))
% 55.04/55.64 [1488]~P57(x14881)+E(f54(f54(f11(x14881),x14882),f54(f15(x14881,x14883),x14884)),f54(f15(x14881,f23(x14881,x14882,x14883)),x14884))
% 55.04/55.64 [1591]~P57(x15911)+E(f12(f72(x15911),f23(x15911,x15912,x15913),f23(x15911,x15912,x15914)),f23(x15911,x15912,f12(f72(x15911),x15913,x15914)))
% 55.04/55.64 [1592]~P53(x15921)+E(f9(f72(x15921),f23(x15921,x15922,x15923),f23(x15921,x15922,x15924)),f23(x15921,x15922,f9(f72(x15921),x15923,x15924)))
% 55.04/55.64 [1724]~P57(x17241)+E(f12(f72(x17241),f18(x17241,x17242,f3(f72(x17241))),f54(f54(f11(f72(x17241)),x17243),f20(x17241,x17244,x17243))),f20(x17241,f18(x17241,x17242,x17244),x17243))
% 55.04/55.65 [1737]~P57(x17371)+E(f12(f72(x17371),f23(x17371,x17372,f7(x17371,x17373,x17372)),f18(x17371,x17374,f7(x17371,x17373,x17372))),f7(x17371,f18(x17371,x17374,x17373),x17372))
% 55.04/55.65 [1369]~P58(x13691)+E(f54(f54(f11(x13691),x13692),f54(f54(f11(x13691),x13693),x13694)),f54(f54(f11(x13691),x13693),f54(f54(f11(x13691),x13692),x13694)))
% 55.04/55.65 [1382]~P57(x13821)+E(f23(x13821,f54(f54(f11(x13821),x13822),x13823),x13824),f23(x13821,x13822,f23(x13821,x13823,x13824)))
% 55.04/55.65 [1383]~P57(x13831)+E(f16(x13831,f54(f54(f11(x13831),x13832),x13833),x13834),f23(x13831,x13832,f16(x13831,x13833,x13834)))
% 55.04/55.65 [1518]~P58(x15181)+E(f54(f54(f11(x15181),x15182),f54(f54(f21(x15181),x15183),x15184)),f54(f15(x15181,f16(x15181,x15182,x15184)),x15183))
% 55.04/55.65 [1532]~P3(x15321)+E(f12(x15321,f54(f54(f11(x15321),x15322),x15323),f54(f54(f11(x15321),x15322),x15324)),f54(f54(f11(x15321),x15322),f12(x15321,x15323,x15324)))
% 55.04/55.65 [1533]~P58(x15331)+E(f12(x15331,f54(f54(f11(x15331),x15332),x15333),f54(f54(f11(x15331),x15332),x15334)),f54(f54(f11(x15331),x15332),f12(x15331,x15333,x15334)))
% 55.04/55.65 [1535]~P3(x15351)+E(f9(x15351,f54(f54(f11(x15351),x15352),x15353),f54(f54(f11(x15351),x15352),x15354)),f54(f54(f11(x15351),x15352),f9(x15351,x15353,x15354)))
% 55.04/55.65 [1618]~P57(x16181)+E(f12(x16181,f54(f15(x16181,x16182),x16183),f54(f15(x16181,x16184),x16183)),f54(f15(x16181,f12(f72(x16181),x16182,x16184)),x16183))
% 55.04/55.65 [1619]~P53(x16191)+E(f9(x16191,f54(f15(x16191,x16192),x16193),f54(f15(x16191,x16194),x16193)),f54(f15(x16191,f9(f72(x16191),x16192,x16194)),x16193))
% 55.04/55.65 [1642]~P4(x16421)+E(f54(f54(f11(x16421),f54(f54(f21(x16421),x16422),x16423)),f54(f54(f21(x16421),x16422),x16424)),f54(f54(f21(x16421),x16422),f12(a69,x16423,x16424)))
% 55.04/55.65 [1643]~P58(x16431)+E(f54(f54(f11(x16431),f54(f54(f21(x16431),x16432),x16433)),f54(f54(f21(x16431),x16432),x16434)),f54(f54(f21(x16431),x16432),f12(a69,x16433,x16434)))
% 55.04/55.65 [1653]~P3(x16531)+E(f12(x16531,f54(f54(f11(x16531),x16532),x16533),f54(f54(f11(x16531),x16534),x16533)),f54(f54(f11(x16531),f12(x16531,x16532,x16534)),x16533))
% 55.04/55.65 [1654]~P52(x16541)+E(f12(x16541,f54(f54(f11(x16541),x16542),x16543),f54(f54(f11(x16541),x16544),x16543)),f54(f54(f11(x16541),f12(x16541,x16542,x16544)),x16543))
% 55.04/55.65 [1657]~P3(x16571)+E(f9(x16571,f54(f54(f11(x16571),x16572),x16573),f54(f54(f11(x16571),x16574),x16573)),f54(f54(f11(x16571),f9(x16571,x16572,x16574)),x16573))
% 55.04/55.65 [1658]~P58(x16581)+E(f12(x16581,f54(f54(f11(x16581),x16582),x16583),f54(f54(f11(x16581),x16584),x16583)),f54(f54(f11(x16581),f12(x16581,x16582,x16584)),x16583))
% 55.04/55.65 [1689]~P57(x16891)+E(f12(x16891,x16892,f54(f54(f11(x16891),x16893),f54(f15(x16891,x16894),x16893))),f54(f15(x16891,f18(x16891,x16892,x16894)),x16893))
% 55.04/55.65 [1489]~P57(x14891)+E(f23(x14891,x14892,f54(f54(f11(f72(x14891)),x14893),x14894)),f54(f54(f11(f72(x14891)),x14893),f23(x14891,x14892,x14894)))
% 55.04/55.65 [1513]~P58(x15131)+E(f54(f54(f21(x15131),f54(f54(f21(x15131),x15132),x15133)),x15134),f54(f54(f21(x15131),x15132),f54(f54(f11(a69),x15133),x15134)))
% 55.04/55.65 [1514]~P4(x15141)+E(f54(f54(f21(x15141),f54(f54(f21(x15141),x15142),x15143)),x15144),f54(f54(f21(x15141),x15142),f54(f54(f11(a69),x15143),x15144)))
% 55.04/55.65 [1523]~P58(x15231)+E(f54(f54(f11(x15231),f54(f54(f11(x15231),x15232),x15233)),x15234),f54(f54(f11(x15231),x15232),f54(f54(f11(x15231),x15233),x15234)))
% 55.04/55.65 [1524]~P18(x15241)+E(f54(f54(f11(x15241),f54(f54(f11(x15241),x15242),x15243)),x15244),f54(f54(f11(x15241),x15242),f54(f54(f11(x15241),x15243),x15244)))
% 55.04/55.65 [1620]~P57(x16201)+E(f23(x16201,x16202,f54(f54(f11(f72(x16201)),x16203),x16204)),f54(f54(f11(f72(x16201)),f23(x16201,x16202,x16203)),x16204))
% 55.04/55.65 [1641]~P58(x16411)+E(f54(f54(f11(x16411),f54(f54(f11(x16411),x16412),x16413)),x16414),f54(f54(f11(x16411),f54(f54(f11(x16411),x16412),x16414)),x16413))
% 55.04/55.65 [1695]~P5(x16951)+E(f54(f54(f11(x16951),f54(f54(f21(x16951),x16952),x16953)),f54(f54(f21(x16951),x16954),x16953)),f54(f54(f21(x16951),f54(f54(f11(x16951),x16952),x16954)),x16953))
% 55.04/55.65 [1696]~P58(x16961)+E(f54(f54(f11(x16961),f54(f54(f21(x16961),x16962),x16963)),f54(f54(f21(x16961),x16964),x16963)),f54(f54(f21(x16961),f54(f54(f11(x16961),x16962),x16964)),x16963))
% 55.04/55.65 [1721]~P57(x17211)+E(f12(f72(x17211),f54(f54(f11(f72(x17211)),x17212),x17213),f54(f54(f11(f72(x17211)),x17214),x17213)),f54(f54(f11(f72(x17211)),f12(f72(x17211),x17212,x17214)),x17213))
% 55.04/55.65 [1670]~P58(x16701)+E(f54(f15(x16701,f54(f54(f21(f72(x16701)),x16702),x16703)),x16704),f54(f54(f21(x16701),f54(f15(x16701,x16702),x16704)),x16703))
% 55.04/55.65 [1711]~P57(x17111)+E(f54(f54(f11(x17111),f54(f15(x17111,x17112),x17113)),f54(f15(x17111,x17114),x17113)),f54(f15(x17111,f54(f54(f11(f72(x17111)),x17112),x17114)),x17113))
% 55.04/55.65 [1731]~P57(x17311)+E(f12(f72(x17311),f23(x17311,x17312,x17313),f18(x17311,f3(x17311),f54(f54(f11(f72(x17311)),x17313),x17314))),f54(f54(f11(f72(x17311)),x17313),f18(x17311,x17312,x17314)))
% 55.04/55.65 [1738]~P57(x17381)+E(f12(f72(x17381),f23(x17381,x17382,x17383),f18(x17381,f3(x17381),f54(f54(f11(f72(x17381)),x17384),x17383))),f54(f54(f11(f72(x17381)),f18(x17381,x17382,x17384)),x17383))
% 55.04/55.65 [1774]~P54(x17741)+E(f54(f15(x17741,f54(f54(f11(f72(x17741)),f16(x17741,f4(x17741),x17742)),x17743)),x17744),f54(f54(f11(x17741),f54(f54(f21(x17741),x17744),x17742)),f54(f15(x17741,x17743),x17744)))
% 55.04/55.65 [945]~P11(x9454,x9455,x9451)+E(f54(x9451,x9452),f54(x9451,x9453))
% 55.04/55.65 [1667]~P58(x16671)+E(f12(x16671,f12(x16671,x16672,x16673),f12(x16671,x16674,x16675)),f12(x16671,f12(x16671,x16672,x16674),f12(x16671,x16673,x16675)))
% 55.04/55.65 [1668]~P16(x16681)+E(f12(x16681,f9(x16681,x16682,x16683),f9(x16681,x16684,x16685)),f9(x16681,f12(x16681,x16682,x16684),f12(x16681,x16683,x16685)))
% 55.04/55.65 [1715]~P57(x17151)+E(f54(f54(f11(f72(x17151)),f16(x17151,x17152,x17153)),f16(x17151,x17154,x17155)),f16(x17151,f54(f54(f11(x17151),x17152),x17154),f12(a69,x17153,x17155)))
% 55.04/55.65 [1332]~P27(x13322)+E(f54(f9(f77(x13321,x13322),x13323,x13324),x13325),f9(x13322,f54(x13323,x13325),f54(x13324,x13325)))
% 55.04/55.65 [1671]~P17(x16711)+E(f18(x16711,f12(x16711,x16712,x16713),f12(f72(x16711),x16714,x16715)),f12(f72(x16711),f18(x16711,x16712,x16714),f18(x16711,x16713,x16715)))
% 55.04/55.65 [1672]~P16(x16721)+E(f18(x16721,f9(x16721,x16722,x16723),f9(f72(x16721),x16724,x16725)),f9(f72(x16721),f18(x16721,x16722,x16724),f18(x16721,x16723,x16725)))
% 55.04/55.65 [1779]~P1(x17791)+P9(a1,f28(x17791,f9(x17791,f12(x17791,x17792,x17793),f12(x17791,x17794,x17795))),f12(a1,f28(x17791,f9(x17791,x17792,x17794)),f28(x17791,f9(x17791,x17793,x17795))))
% 55.04/55.65 [1781]~P30(x17811)+P9(x17811,f8(x17811,f9(x17811,f12(x17811,x17812,x17813),f12(x17811,x17814,x17815))),f12(x17811,f8(x17811,f9(x17811,x17812,x17814)),f8(x17811,f9(x17811,x17813,x17815))))
% 55.04/55.65 [1723]~P58(x17231)+E(f54(f54(f11(x17231),f54(f54(f11(x17231),x17232),x17233)),f54(f54(f11(x17231),x17234),x17235)),f54(f54(f11(x17231),f54(f54(f11(x17231),x17232),x17234)),f54(f54(f11(x17231),x17233),x17235)))
% 55.04/55.65 [1760]~P70(x17601)+E(f12(x17601,f54(f54(f11(x17601),x17602),f9(x17601,x17603,x17604)),f54(f54(f11(x17601),f9(x17601,x17602,x17605)),x17604)),f9(x17601,f54(f54(f11(x17601),x17602),x17603),f54(f54(f11(x17601),x17605),x17604)))
% 55.04/55.65 [1800]~P3(x18001)+E(f12(x18001,f12(x18001,f54(f54(f11(x18001),f9(x18001,x18002,x18003)),f9(x18001,x18004,x18005)),f54(f54(f11(x18001),f9(x18001,x18002,x18003)),x18005)),f54(f54(f11(x18001),x18003),f9(x18001,x18004,x18005))),f9(x18001,f54(f54(f11(x18001),x18002),x18004),f54(f54(f11(x18001),x18003),x18005)))
% 55.04/55.65 [1752]~P79(x17521)+E(f12(x17521,f54(f54(f11(x17521),x17522),x17523),f12(x17521,f54(f54(f11(x17521),x17524),x17523),x17525)),f12(x17521,f54(f54(f11(x17521),f12(x17521,x17522,x17524)),x17523),x17525))
% 55.04/55.65 [1775]~P9(a69,x17751,x17754)+E(f9(a69,f12(a69,f54(f54(f11(a69),x17751),x17752),x17753),f12(a69,f54(f54(f11(a69),x17754),x17752),x17755)),f9(a69,x17753,f12(a69,f54(f54(f11(a69),f9(a69,x17754,x17751)),x17752),x17755)))
% 55.04/55.65 [1776]~P9(a69,x17764,x17761)+E(f9(a69,f12(a69,f54(f54(f11(a69),x17761),x17762),x17763),f12(a69,f54(f54(f11(a69),x17764),x17762),x17765)),f9(a69,f12(a69,f54(f54(f11(a69),f9(a69,x17761,x17764)),x17762),x17763),x17765))
% 55.04/55.65 [817]~P1(x8171)+~P46(x8171)+P10(a1,f3(a1),f42(x8171))
% 55.04/55.65 [818]~P1(x8181)+~P46(x8181)+P9(a1,f3(a1),f50(x8181))
% 55.04/55.65 [1317]~P10(a69,f5(a2,x13171),f5(a2,a73))+P11(a2,a2,f15(a2,x13171))+E(f54(f15(a2,x13171),f31(x13171)),f3(a2))
% 55.04/55.65 [932]E(x9321,x9322)+P10(a69,x9322,x9321)+P10(a69,x9321,x9322)
% 55.04/55.65 [933]E(x9331,x9332)+P10(a70,x9332,x9331)+P10(a70,x9331,x9332)
% 55.04/55.65 [1009]E(x10091,x10092)+P10(a1,x10091,x10092)+~P9(a1,x10091,x10092)
% 55.04/55.65 [1012]E(x10121,x10122)+P10(a69,x10121,x10122)+~P9(a69,x10121,x10122)
% 55.04/55.65 [1013]E(x10131,x10132)+P10(a70,x10131,x10132)+~P9(a70,x10131,x10132)
% 55.04/55.65 [1073]E(x10731,x10732)+~P9(a1,x10732,x10731)+~P9(a1,x10731,x10732)
% 55.04/55.65 [1074]E(x10741,x10742)+~P9(a69,x10742,x10741)+~P9(a69,x10741,x10742)
% 55.04/55.65 [1075]E(x10751,x10752)+~P9(a70,x10752,x10751)+~P9(a70,x10751,x10752)
% 55.04/55.65 [678]~P26(x6781)+~E(x6782,f3(x6781))+E(f10(x6781,x6782),x6782)
% 55.04/55.65 [679]~P46(x6791)+E(f29(x6791,x6792),f3(x6791))+~E(x6792,f3(a1))
% 55.04/55.65 [689]~P1(x6891)+~E(x6892,f3(x6891))+E(f28(x6891,x6892),f3(a1))
% 55.04/55.65 [690]~P24(x6901)+~E(f3(x6901),x6902)+E(f10(x6901,x6902),f3(x6901))
% 55.04/55.65 [691]~P24(x6911)+~E(x6912,f3(x6911))+E(f10(x6911,x6912),f3(x6911))
% 55.04/55.65 [692]~P55(x6921)+~E(x6922,f3(x6921))+E(f26(x6921,x6922),f3(x6921))
% 55.04/55.65 [693]~P7(x6931)+~E(x6932,f4(x6931))+E(f26(x6931,x6932),f4(x6931))
% 55.04/55.65 [694]~P30(x6941)+~E(x6942,f3(x6941))+E(f8(x6941,x6942),f3(x6941))
% 55.04/55.65 [695]~P1(x6951)+~E(x6952,f3(x6951))+E(f13(x6951,x6952),f3(x6951))
% 55.04/55.65 [696]~P50(x6961)+~E(x6962,f3(x6961))+E(f13(x6961,x6962),f3(x6961))
% 55.04/55.65 [697]~P38(x6971)+~E(x6972,f3(x6971))+E(f13(x6971,x6972),f3(x6971))
% 55.04/55.65 [700]~P26(x7002)+~E(f10(x7002,x7001),x7001)+E(x7001,f3(x7002))
% 55.04/55.65 [707]~P1(x7072)+E(x7071,f3(x7072))+~E(f28(x7072,x7071),f3(a1))
% 55.04/55.65 [708]~P46(x7082)+~E(f29(x7082,x7081),f3(x7082))+E(x7081,f3(a1))
% 55.04/55.65 [709]~P24(x7092)+~E(f10(x7092,x7091),f3(x7092))+E(x7091,f3(x7092))
% 55.04/55.65 [710]~P55(x7102)+~E(f26(x7102,x7101),f3(x7102))+E(x7101,f3(x7102))
% 55.04/55.65 [712]~P56(x7122)+~E(f26(x7122,x7121),f3(x7122))+E(x7121,f3(x7122))
% 55.04/55.65 [713]~P30(x7132)+~E(f8(x7132,x7131),f3(x7132))+E(x7131,f3(x7132))
% 55.04/55.65 [714]~P1(x7142)+~E(f13(x7142,x7141),f3(x7142))+E(x7141,f3(x7142))
% 55.04/55.65 [715]~P50(x7152)+~E(f13(x7152,x7151),f3(x7152))+E(x7151,f3(x7152))
% 55.04/55.65 [716]~P7(x7162)+~E(f26(x7162,x7161),f4(x7162))+E(x7161,f4(x7162))
% 55.04/55.65 [717]~P24(x7171)+~E(f10(x7171,x7172),f3(x7171))+E(f3(x7171),x7172)
% 55.04/55.65 [776]~E(x7762,f3(a69))+~E(x7761,f3(a69))+E(f12(a69,x7761,x7762),f3(a69))
% 55.04/55.65 [811]~P26(x8111)+~E(x8112,f3(x8111))+E(f12(x8111,x8112,x8112),f3(x8111))
% 55.04/55.65 [832]~P22(x8321)+P10(x8321,x8322,f3(x8321))+E(f8(x8321,x8322),x8322)
% 55.04/55.65 [887]~P1(x8872)+E(x8871,f3(x8872))+P10(a1,f3(a1),f28(x8872,x8871))
% 55.04/55.65 [893]~P50(x8931)+P10(x8931,f3(x8931),x8932)+~E(f13(x8931,x8932),f4(x8931))
% 55.04/55.65 [903]~P1(x9031)+~E(x9032,f3(x9031))+P9(a1,f28(x9031,x9032),f3(a1))
% 55.04/55.65 [911]~P30(x9112)+P10(x9112,f3(x9112),f8(x9112,x9111))+E(x9111,f3(x9112))
% 55.04/55.65 [917]~P30(x9171)+P9(x9171,f8(x9171,x9172),f3(x9171))+~E(x9172,f3(x9171))
% 55.04/55.65 [919]~P26(x9192)+~E(f12(x9192,x9191,x9191),f3(x9192))+E(x9191,f3(x9192))
% 55.04/55.65 [957]~P30(x9571)+~P10(x9571,f3(x9571),x9572)+E(f8(x9571,x9572),x9572)
% 55.04/55.65 [958]~P30(x9581)+~P9(x9581,f3(x9581),x9582)+E(f8(x9581,x9582),x9582)
% 55.04/55.65 [973]~P50(x9731)+~P10(x9731,f3(x9731),x9732)+E(f13(x9731,x9732),f4(x9731))
% 55.04/55.65 [981]~P45(x9811)+P14(x9811,x9812)+P9(a69,f58(x9812,x9811),f60(x9812,x9811))
% 55.04/55.65 [986]~P30(x9861)+~P10(x9861,x9862,f3(x9861))+E(f10(x9861,x9862),f8(x9861,x9862))
% 55.04/55.65 [987]~P30(x9871)+~P9(x9871,x9872,f3(x9871))+E(f10(x9871,x9872),f8(x9871,x9872))
% 55.04/55.65 [988]~P22(x9881)+~P10(x9881,x9882,f3(x9881))+E(f10(x9881,x9882),f8(x9881,x9882))
% 55.04/55.65 [1015]~P1(x10152)+E(x10151,f3(x10152))+~P9(a1,f28(x10152,x10151),f3(a1))
% 55.04/55.65 [1021]~P1(x10212)+~E(x10211,f3(x10212))+~P10(a1,f3(a1),f28(x10212,x10211))
% 55.04/55.65 [1030]~P30(x10302)+~P9(x10302,f8(x10302,x10301),f3(x10302))+E(x10301,f3(x10302))
% 55.04/55.65 [1057]~P30(x10572)+~P10(x10572,f3(x10572),f8(x10572,x10571))+~E(x10571,f3(x10572))
% 55.04/55.65 [1086]E(x10861,x10862)+~E(f9(a69,x10862,x10861),f3(a69))+~E(f9(a69,x10861,x10862),f3(a69))
% 55.04/55.65 [1120]~P50(x11201)+~P10(x11201,x11202,f3(x11201))+P10(x11201,x11202,f10(x11201,x11202))
% 55.04/55.65 [1121]~P26(x11211)+~P9(x11211,x11212,f3(x11211))+P9(x11211,x11212,f10(x11211,x11212))
% 55.04/55.65 [1122]~P26(x11221)+~P10(x11221,f3(x11221),x11222)+P10(x11221,f10(x11221,x11222),x11222)
% 55.04/55.65 [1123]~P26(x11231)+~P9(x11231,f3(x11231),x11232)+P9(x11231,f10(x11231,x11232),x11232)
% 55.04/55.65 [1139]~P32(x11391)+~P10(x11391,x11392,f3(x11391))+P10(x11391,f3(x11391),f10(x11391,x11392))
% 55.04/55.65 [1140]~P32(x11401)+~P9(x11401,x11402,f3(x11401))+P9(x11401,f3(x11401),f10(x11401,x11402))
% 55.04/55.65 [1141]~P6(x11411)+~P10(x11411,f3(x11411),x11412)+P10(x11411,f3(x11411),f26(x11411,x11412))
% 55.04/55.65 [1142]~P15(x11421)+~P10(x11421,f3(x11421),x11422)+P10(x11421,f3(x11421),f26(x11421,x11422))
% 55.04/55.65 [1143]~P50(x11431)+~P10(x11431,f3(x11431),x11432)+P10(x11431,f3(x11431),f13(x11431,x11432))
% 55.04/55.65 [1144]~P6(x11441)+~P9(x11441,f3(x11441),x11442)+P9(x11441,f3(x11441),f26(x11441,x11442))
% 55.04/55.65 [1145]~P6(x11451)+~P10(x11451,x11452,f3(x11451))+P10(x11451,f26(x11451,x11452),f3(x11451))
% 55.04/55.65 [1146]~P15(x11461)+~P10(x11461,x11462,f3(x11461))+P10(x11461,f26(x11461,x11462),f3(x11461))
% 55.04/55.65 [1147]~P6(x11471)+~P9(x11471,x11472,f3(x11471))+P10(x11471,f26(x11471,x11472),f4(x11471))
% 55.04/55.65 [1148]~P50(x11481)+~P10(x11481,x11482,f3(x11481))+P10(x11481,f13(x11481,x11482),f3(x11481))
% 55.04/55.65 [1149]~P6(x11491)+~P9(x11491,x11492,f3(x11491))+P9(x11491,f26(x11491,x11492),f3(x11491))
% 55.04/55.65 [1150]~P6(x11501)+~P9(x11501,x11502,f3(x11501))+P9(x11501,f26(x11501,x11502),f4(x11501))
% 55.04/55.65 [1151]~P32(x11511)+~P10(x11511,f3(x11511),x11512)+P10(x11511,f10(x11511,x11512),f3(x11511))
% 55.04/55.65 [1152]~P6(x11521)+~P10(x11521,f4(x11521),x11522)+P10(x11521,f26(x11521,x11522),f4(x11521))
% 55.04/55.65 [1153]~P32(x11531)+~P9(x11531,f3(x11531),x11532)+P9(x11531,f10(x11531,x11532),f3(x11531))
% 55.04/55.65 [1154]~P6(x11541)+~P9(x11541,f4(x11541),x11542)+P9(x11541,f26(x11541,x11542),f4(x11541))
% 55.04/55.65 [1156]~P50(x11561)+~P10(x11561,x11562,f10(x11561,x11562))+P10(x11561,x11562,f3(x11561))
% 55.04/55.65 [1157]~P26(x11571)+~P9(x11571,x11572,f10(x11571,x11572))+P9(x11571,x11572,f3(x11571))
% 55.04/55.65 [1158]~P26(x11581)+~P10(x11581,f10(x11581,x11582),x11582)+P10(x11581,f3(x11581),x11582)
% 55.04/55.65 [1159]~P26(x11591)+~P9(x11591,f10(x11591,x11592),x11592)+P9(x11591,f3(x11591),x11592)
% 55.04/55.65 [1172]~P32(x11721)+~P10(x11721,f3(x11721),f10(x11721,x11722))+P10(x11721,x11722,f3(x11721))
% 55.04/55.65 [1173]~P6(x11731)+~P10(x11731,f4(x11731),f26(x11731,x11732))+P10(x11731,x11732,f4(x11731))
% 55.04/55.65 [1174]~P32(x11741)+~P9(x11741,f3(x11741),f10(x11741,x11742))+P9(x11741,x11742,f3(x11741))
% 55.04/55.65 [1175]~P6(x11751)+~P9(x11751,f4(x11751),f26(x11751,x11752))+P9(x11751,x11752,f4(x11751))
% 55.04/55.65 [1176]~P50(x11761)+~P10(x11761,f13(x11761,x11762),f3(x11761))+P10(x11761,x11762,f3(x11761))
% 55.04/55.65 [1177]~P6(x11771)+~P10(x11771,f26(x11771,x11772),f3(x11771))+P10(x11771,x11772,f3(x11771))
% 55.04/55.65 [1178]~P6(x11781)+~P9(x11781,f26(x11781,x11782),f3(x11781))+P9(x11781,x11782,f3(x11781))
% 55.04/55.65 [1179]~P50(x11791)+~P10(x11791,f3(x11791),f13(x11791,x11792))+P10(x11791,f3(x11791),x11792)
% 55.04/55.65 [1180]~P6(x11801)+~P10(x11801,f3(x11801),f26(x11801,x11802))+P10(x11801,f3(x11801),x11802)
% 55.04/55.65 [1181]~P6(x11811)+~P10(x11811,f4(x11811),f26(x11811,x11812))+P10(x11811,f3(x11811),x11812)
% 55.04/55.65 [1182]~P6(x11821)+~P9(x11821,f4(x11821),f26(x11821,x11822))+P10(x11821,f3(x11821),x11822)
% 55.04/55.65 [1183]~P6(x11831)+~P9(x11831,f3(x11831),f26(x11831,x11832))+P9(x11831,f3(x11831),x11832)
% 55.04/55.65 [1184]~P32(x11841)+~P10(x11841,f10(x11841,x11842),f3(x11841))+P10(x11841,f3(x11841),x11842)
% 55.04/55.65 [1185]~P32(x11851)+~P9(x11851,f10(x11851,x11852),f3(x11851))+P9(x11851,f3(x11851),x11852)
% 55.04/55.65 [1292]~P9(a69,f14(x12921),x12922)+P9(a1,x12921,f27(a69,x12922))+~P9(a1,f3(a1),x12921)
% 55.04/55.65 [1293]~P9(a69,x12931,f25(x12932))+P9(a1,f27(a69,x12931),x12932)+~P9(a1,f3(a1),x12932)
% 55.04/55.65 [1294]~P9(a70,f3(a70),x12942)+~P9(a70,f3(a70),x12941)+P9(a70,f3(a70),f17(x12941,x12942))
% 55.04/55.65 [1308]P10(a69,f25(x13081),x13082)+~P10(a1,x13081,f27(a69,x13082))+~P9(a1,f3(a1),x13081)
% 55.04/55.65 [1311]~P26(x13111)+~P10(x13111,f3(x13111),x13112)+P10(x13111,f3(x13111),f12(x13111,x13112,x13112))
% 55.04/55.65 [1312]~P26(x13121)+~P9(x13121,f3(x13121),x13122)+P9(x13121,f3(x13121),f12(x13121,x13122,x13122))
% 55.04/55.65 [1313]~P50(x13131)+~P10(x13131,x13132,f3(x13131))+P10(x13131,f12(x13131,x13132,x13132),f3(x13131))
% 55.04/55.65 [1314]~P26(x13141)+~P10(x13141,x13142,f3(x13141))+P10(x13141,f12(x13141,x13142,x13142),f3(x13141))
% 55.04/55.65 [1315]~P26(x13151)+~P9(x13151,x13152,f3(x13151))+P9(x13151,f12(x13151,x13152,x13152),f3(x13151))
% 55.04/55.65 [1327]~P9(a1,x13271,x13272)+~P9(a1,f10(a1,x13272),x13271)+P9(a1,f8(a1,x13271),x13272)
% 55.04/55.65 [1399]~P50(x13991)+~P10(x13991,f12(x13991,x13992,x13992),f3(x13991))+P10(x13991,x13992,f3(x13991))
% 55.04/55.65 [1400]~P26(x14001)+~P10(x14001,f12(x14001,x14002,x14002),f3(x14001))+P10(x14001,x14002,f3(x14001))
% 55.04/55.65 [1401]~P26(x14011)+~P9(x14011,f12(x14011,x14012,x14012),f3(x14011))+P9(x14011,x14012,f3(x14011))
% 55.04/55.65 [1402]~P26(x14021)+~P10(x14021,f3(x14021),f12(x14021,x14022,x14022))+P10(x14021,f3(x14021),x14022)
% 55.04/55.65 [1403]~P26(x14031)+~P9(x14031,f3(x14031),f12(x14031,x14032,x14032))+P9(x14031,f3(x14031),x14032)
% 55.04/55.65 [1407]P10(a69,f9(a69,x14071,x14072),x14071)+~P10(a69,f3(a69),x14071)+~P10(a69,f3(a69),x14072)
% 55.04/55.65 [1409]~P9(a70,f3(a70),x14092)+~P9(a70,f3(a70),x14091)+P9(a70,f3(a70),f12(a70,x14091,x14092))
% 55.04/55.65 [1465]P10(a69,f3(a69),x14651)+P10(a69,f3(a69),x14652)+~P10(a69,f3(a69),f12(a69,x14652,x14651))
% 55.04/55.65 [719]~P29(x7191)+E(f5(x7191,x7192),f3(a69))+~E(x7192,f3(f72(x7191)))
% 55.04/55.65 [720]~P29(x7202)+~E(f5(x7202,x7201),f3(a69))+E(x7201,f3(f72(x7202)))
% 55.04/55.65 [728]~P56(x7282)+E(x7281,f3(x7282))+E(f26(x7282,f26(x7282,x7281)),x7281)
% 55.04/55.65 [738]~P1(x7382)+E(x7381,f3(x7382))+E(f28(x7382,f13(x7382,x7381)),f4(a1))
% 55.04/55.65 [739]~P50(x7391)+~E(x7392,f3(f72(x7391)))+E(f13(f72(x7391),x7392),f3(f72(x7391)))
% 55.04/55.65 [745]~P1(x7451)+~E(x7452,f3(x7451))+E(f28(x7451,f13(x7451,x7452)),f3(a1))
% 55.04/55.65 [856]~P47(x8562)+E(x8561,f3(a1))+E(f29(x8562,f26(a1,x8561)),f26(x8562,f29(x8562,x8561)))
% 55.04/55.65 [872]~P48(x8722)+E(x8721,f3(x8722))+E(f28(x8722,f26(x8722,x8721)),f26(a1,f28(x8722,x8721)))
% 55.04/55.65 [876]~P55(x8761)+~P47(x8761)+E(f29(x8761,f26(a1,x8762)),f26(x8761,f29(x8761,x8762)))
% 55.04/55.65 [881]~P56(x8812)+E(x8811,f3(x8812))+E(f26(x8812,f10(x8812,x8811)),f10(x8812,f26(x8812,x8811)))
% 55.04/55.65 [882]~P15(x8822)+E(x8821,f3(x8822))+E(f26(x8822,f8(x8822,x8821)),f8(x8822,f26(x8822,x8821)))
% 55.04/55.65 [883]~P48(x8831)+~P55(x8831)+E(f28(x8831,f26(x8831,x8832)),f26(a1,f28(x8831,x8832)))
% 55.04/55.65 [888]~P56(x8882)+E(x8881,f3(x8882))+E(f54(f54(f11(x8882),x8881),f26(x8882,x8881)),f4(x8882))
% 55.04/55.65 [928]~P50(x9281)+P10(f72(x9281),x9282,f3(f72(x9281)))+E(f8(f72(x9281),x9282),x9282)
% 55.04/55.65 [974]~P50(x9741)+P10(x9741,x9742,f3(x9741))+~E(f13(x9741,x9742),f10(x9741,f4(x9741)))
% 55.04/55.65 [1000]~P50(x10001)+~P10(x10001,x10002,f3(x10001))+E(f13(x10001,x10002),f10(x10001,f4(x10001)))
% 55.04/55.65 [1077]~P50(x10771)+~P10(f72(x10771),x10772,f3(f72(x10771)))+E(f10(f72(x10771),x10772),f8(f72(x10771),x10772))
% 55.04/55.65 [1366]E(x13661,x13662)+P10(a70,x13661,x13662)+~P10(a70,x13661,f12(a70,x13662,f4(a70)))
% 55.04/55.65 [1411]~P1(x14111)+~P46(x14111)+P9(a1,f28(x14111,f29(x14111,x14112)),f54(f54(f11(a1),f28(a1,x14112)),f42(x14111)))
% 55.04/55.65 [1412]~P1(x14121)+~P46(x14121)+P9(a1,f28(x14121,f29(x14121,x14122)),f54(f54(f11(a1),f28(a1,x14122)),f50(x14121)))
% 55.04/55.65 [1413]~P1(x14131)+~P46(x14131)+P9(a1,f28(x14131,f29(x14131,x14132)),f54(f54(f11(a1),f28(a1,x14132)),f63(x14131)))
% 55.04/55.65 [1432]~P45(x14321)+P14(x14321,x14322)+~P9(x14321,f54(x14322,f60(x14322,x14321)),f54(x14322,f58(x14322,x14321)))
% 55.04/55.65 [1587]E(f25(x15871),x15872)+~P9(a1,f27(a69,x15872),x15871)+~P10(a1,x15871,f12(a1,f27(a69,x15872),f4(a1)))
% 55.04/55.65 [1625]~P10(a1,f27(a69,x16252),x16251)+~P9(a1,x16251,f12(a1,f27(a69,x16252),f4(a1)))+E(f14(x16251),f12(a69,x16252,f4(a69)))
% 55.04/55.65 [754]~E(x7542,f4(a69))+~E(x7541,f4(a69))+E(f54(f54(f11(a69),x7541),x7542),f4(a69))
% 55.04/55.65 [804]~P63(x8041)+~E(x8042,f4(x8041))+E(f54(f54(f11(x8041),x8042),x8042),f4(x8041))
% 55.04/55.65 [830]E(x8301,f4(a69))+E(x8302,f3(a69))+~E(f54(f54(f11(a69),x8302),x8301),x8302)
% 55.04/55.65 [835]E(x8351,f3(a69))+E(x8352,f3(a69))+~E(f54(f54(f11(a69),x8352),x8351),f3(a69))
% 55.04/55.65 [901]~P63(x9011)+~E(x9012,f10(x9011,f4(x9011)))+E(f54(f54(f11(x9011),x9012),x9012),f4(x9011))
% 55.04/55.65 [970]~P56(x9702)+E(x9701,f3(x9702))+E(f54(f54(f11(x9702),f26(x9702,x9701)),x9701),f4(x9702))
% 55.04/55.65 [971]~P8(x9712)+E(x9711,f3(x9712))+E(f54(f54(f11(x9712),f26(x9712,x9711)),x9711),f4(x9712))
% 55.04/55.65 [1069]E(x10691,f4(a70))+~P10(a70,f3(a70),x10692)+~E(f54(f54(f11(a70),x10692),x10691),f4(a70))
% 55.04/55.65 [1070]E(x10701,f4(a70))+~P10(a70,f3(a70),x10701)+~E(f54(f54(f11(a70),x10701),x10702),f4(a70))
% 55.04/55.65 [1339]E(x13391,f3(a69))+P10(a69,f3(a69),x13392)+~P10(a69,f3(a69),f54(f54(f21(a69),x13392),x13391))
% 55.04/55.65 [1379]~P10(a1,f3(a1),x13792)+~P10(a1,f3(a1),x13791)+P10(a1,f3(a1),f54(f54(f11(a1),x13791),x13792))
% 55.04/55.65 [1380]~P10(a69,f3(a69),x13802)+~P10(a69,f3(a69),x13801)+P10(a69,f3(a69),f54(f54(f11(a69),x13801),x13802))
% 55.04/55.65 [1381]~P9(a70,f3(a70),x13812)+~P9(a70,f3(a70),x13811)+P9(a70,f3(a70),f54(f54(f11(a70),x13811),x13812))
% 55.04/55.65 [1479]E(x14791,f3(a69))+~E(x14792,f3(a70))+~P10(a70,f3(a70),f54(f54(f21(a70),f8(a70,x14792)),x14791))
% 55.04/55.65 [1279]~E(x12792,f3(a1))+~E(x12791,f3(a1))+E(f12(a1,f54(f54(f11(a1),x12791),x12791),f54(f54(f11(a1),x12792),x12792)),f3(a1))
% 55.04/55.65 [1669]~P9(a1,f3(a1),x16692)+~P9(a1,f3(a1),x16691)+P9(a69,f54(f54(f11(a69),f25(x16691)),f25(x16692)),f25(f54(f54(f11(a1),x16691),x16692)))
% 55.04/55.65 [1780]E(x17801,f3(a69))+E(x17802,f3(a2))+P10(a1,f28(a2,f12(a2,f4(a2),f54(f54(f11(a2),x17802),f54(f54(f21(a2),f44(x17801,x17802)),x17801)))),f4(a1))
% 55.04/55.65 [767]~E(x7672,x7673)+~P40(x7671)+P9(x7671,x7672,x7673)
% 55.04/55.65 [769]~E(x7692,x7693)+~P45(x7691)+P9(x7691,x7692,x7693)
% 55.04/55.65 [899]~P10(x8993,x8991,x8992)+~E(x8991,x8992)+~P42(x8993)
% 55.04/55.65 [900]~P10(x9003,x9001,x9002)+~E(x9001,x9002)+~P45(x9003)
% 55.04/55.65 [954]P9(x9541,x9543,x9542)+~P42(x9541)+P10(x9541,x9542,x9543)
% 55.04/55.65 [956]P9(x9561,x9563,x9562)+~P42(x9561)+P9(x9561,x9562,x9563)
% 55.04/55.65 [1027]~P40(x10271)+~P10(x10271,x10272,x10273)+P9(x10271,x10272,x10273)
% 55.04/55.65 [1029]~P45(x10291)+~P10(x10291,x10292,x10293)+P9(x10291,x10292,x10293)
% 55.04/55.65 [1093]~P10(x10931,x10933,x10932)+~P40(x10931)+~P10(x10931,x10932,x10933)
% 55.04/55.65 [1094]~P9(x10941,x10943,x10942)+~P40(x10941)+~P10(x10941,x10942,x10943)
% 55.04/55.65 [1095]~P10(x10951,x10953,x10952)+~P42(x10951)+~P10(x10951,x10952,x10953)
% 55.04/55.65 [1098]~P9(x10981,x10983,x10982)+~P42(x10981)+~P10(x10981,x10982,x10983)
% 55.04/55.65 [1099]~P10(x10991,x10993,x10992)+~P45(x10991)+~P10(x10991,x10992,x10993)
% 55.04/55.65 [1210]~P9(a1,x12101,x12103)+P9(a1,x12101,x12102)+~P9(a1,x12103,x12102)
% 55.04/55.65 [1211]~P9(a69,x12111,x12113)+P9(a69,x12111,x12112)+~P9(a69,x12113,x12112)
% 55.04/55.65 [1212]~P9(a70,x12121,x12123)+P9(a70,x12121,x12122)+~P9(a70,x12123,x12122)
% 55.04/55.65 [722]~P24(x7222)+~E(x7223,f10(x7222,x7221))+E(x7221,f10(x7222,x7223))
% 55.04/55.65 [724]~P24(x7241)+~E(f10(x7241,x7243),x7242)+E(f10(x7241,x7242),x7243)
% 55.04/55.65 [729]~P46(x7293)+E(x7291,x7292)+~E(f29(x7293,x7291),f29(x7293,x7292))
% 55.04/55.65 [730]~P24(x7303)+E(x7301,x7302)+~E(f10(x7303,x7301),f10(x7303,x7302))
% 55.04/55.65 [731]~P43(x7313)+E(x7311,x7312)+~E(f10(x7313,x7311),f10(x7313,x7312))
% 55.04/55.65 [733]~P55(x7333)+E(x7331,x7332)+~E(f26(x7333,x7331),f26(x7333,x7332))
% 55.04/55.65 [788]~E(x7882,x7883)+~P24(x7881)+E(f9(x7881,x7882,x7883),f3(x7881))
% 55.04/55.65 [789]~E(x7892,x7893)+~P16(x7891)+E(f9(x7891,x7892,x7893),f3(x7891))
% 55.04/55.65 [800]~P81(x8001)+~E(x8003,f3(x8001))+E(f12(x8001,x8002,x8003),x8002)
% 55.04/55.65 [801]~E(x8012,x8013)+~P50(x8011)+P9(f72(x8011),x8012,x8013)
% 55.04/55.65 [862]~P24(x8621)+~E(x8623,f10(x8621,x8622))+E(f12(x8621,x8622,x8623),f3(x8621))
% 55.04/55.65 [863]~P24(x8631)+~E(x8632,f10(x8631,x8633))+E(f12(x8631,x8632,x8633),f3(x8631))
% 55.04/55.65 [912]~P81(x9122)+~E(f12(x9122,x9123,x9121),x9123)+E(x9121,f3(x9122))
% 55.04/55.65 [915]~P24(x9153)+E(x9151,x9152)+~E(f9(x9153,x9151,x9152),f3(x9153))
% 55.04/55.65 [916]~P16(x9163)+E(x9161,x9162)+~E(f9(x9163,x9161,x9162),f3(x9163))
% 55.04/55.65 [921]~P50(x9211)+P13(x9211,x9212,x9213)+~E(f8(x9211,x9212),f8(x9211,x9213))
% 55.04/55.65 [946]~P24(x9462)+~E(f12(x9462,x9463,x9461),f3(x9462))+E(x9461,f10(x9462,x9463))
% 55.04/55.65 [947]~P24(x9472)+~E(f12(x9472,x9471,x9473),f3(x9472))+E(x9471,f10(x9472,x9473))
% 55.04/55.65 [948]~P24(x9481)+~E(f12(x9481,x9482,x9483),f3(x9481))+E(f10(x9481,x9482),x9483)
% 55.04/55.65 [1056]~P50(x10561)+~P12(x10561,x10563)+P12(x10561,f18(x10561,x10562,x10563))
% 55.04/55.65 [1080]~P54(x10801)+~P13(x10801,x10802,x10803)+P13(x10801,x10802,f10(x10801,x10803))
% 55.04/55.65 [1081]~P50(x10811)+~P13(x10811,x10812,x10813)+P13(x10811,x10812,f8(x10811,x10813))
% 55.04/55.65 [1082]~P54(x10821)+~P13(x10821,x10822,x10823)+P13(x10821,f10(x10821,x10822),x10823)
% 55.04/55.65 [1083]~P50(x10831)+~P13(x10831,x10832,x10833)+P13(x10831,f8(x10831,x10832),x10833)
% 55.04/55.65 [1128]~P50(x11281)+P13(x11281,x11282,x11283)+~P13(x11281,x11282,f8(x11281,x11283))
% 55.04/55.65 [1129]~P54(x11291)+P13(x11291,x11292,x11293)+~P13(x11291,x11292,f10(x11291,x11293))
% 55.04/55.65 [1130]~P50(x11301)+P10(x11301,x11302,x11303)+~P10(x11301,f8(x11301,x11302),x11303)
% 55.04/55.65 [1132]~P30(x11321)+P9(x11321,x11322,x11323)+~P9(x11321,f8(x11321,x11322),x11323)
% 55.04/55.65 [1133]~P50(x11331)+P13(x11331,x11332,x11333)+~P13(x11331,f8(x11331,x11332),x11333)
% 55.04/55.65 [1134]~P54(x11341)+P13(x11341,x11342,x11343)+~P13(x11341,f10(x11341,x11342),x11343)
% 55.04/55.65 [1163]~P32(x11631)+~P10(x11631,x11633,x11632)+P10(x11631,f10(x11631,x11632),f10(x11631,x11633))
% 55.04/55.65 [1165]~P32(x11651)+~P9(x11651,x11653,x11652)+P9(x11651,f10(x11651,x11652),f10(x11651,x11653))
% 55.04/55.65 [1167]~P43(x11671)+~P9(x11671,x11673,x11672)+P9(x11671,f10(x11671,x11672),f10(x11671,x11673))
% 55.04/55.65 [1195]~P32(x11951)+~P10(x11951,x11953,f10(x11951,x11952))+P10(x11951,x11952,f10(x11951,x11953))
% 55.04/55.65 [1197]~P32(x11971)+~P9(x11971,x11973,f10(x11971,x11972))+P9(x11971,x11972,f10(x11971,x11973))
% 55.04/55.65 [1199]~P32(x11991)+~P10(x11991,f10(x11991,x11993),x11992)+P10(x11991,f10(x11991,x11992),x11993)
% 55.04/55.65 [1200]~P50(x12001)+~P10(x12001,f8(x12001,x12002),x12003)+P10(x12001,f10(x12001,x12002),x12003)
% 55.04/55.65 [1202]~P32(x12021)+~P9(x12021,f10(x12021,x12023),x12022)+P9(x12021,f10(x12021,x12022),x12023)
% 55.04/55.65 [1204]~P30(x12041)+~P9(x12041,f8(x12041,x12042),x12043)+P9(x12041,f10(x12041,x12042),x12043)
% 55.04/55.65 [1215]~P9(a69,x12153,x12151)+~E(f9(a69,x12151,x12153),x12152)+E(x12151,f12(a69,x12152,x12153))
% 55.04/55.65 [1216]~P9(a69,x12162,x12161)+~E(x12161,f12(a69,x12163,x12162))+E(f9(a69,x12161,x12162),x12163)
% 55.04/55.65 [1224]~P32(x12241)+P10(x12241,x12242,x12243)+~P10(x12241,f10(x12241,x12243),f10(x12241,x12242))
% 55.04/55.65 [1225]~P32(x12251)+P9(x12251,x12252,x12253)+~P9(x12251,f10(x12251,x12253),f10(x12251,x12252))
% 55.04/55.65 [1226]~P43(x12261)+P9(x12261,x12262,x12263)+~P9(x12261,f10(x12261,x12263),f10(x12261,x12262))
% 55.04/55.65 [1295]~P32(x12951)+~P10(x12951,x12952,x12953)+P10(x12951,f9(x12951,x12952,x12953),f3(x12951))
% 55.04/55.65 [1296]~P32(x12961)+~P9(x12961,x12962,x12963)+P9(x12961,f9(x12961,x12962,x12963),f3(x12961))
% 55.04/55.65 [1384]~P32(x13841)+P10(x13841,x13842,x13843)+~P10(x13841,f9(x13841,x13842,x13843),f3(x13841))
% 55.04/55.65 [1385]~P32(x13851)+P9(x13851,x13852,x13853)+~P9(x13851,f9(x13851,x13852,x13853),f3(x13851))
% 55.04/55.65 [1540]~P10(a69,x15403,x15401)+~P10(a69,x15403,x15402)+P10(a69,f9(a69,x15401,x15402),f9(a69,x15401,x15403))
% 55.04/55.65 [1541]~P10(a69,x15411,x15413)+~P9(a69,x15412,x15411)+P10(a69,f9(a69,x15411,x15412),f9(a69,x15413,x15412))
% 55.04/55.65 [1612]~P9(a69,x16123,x16122)+~P9(a69,f12(a69,x16121,x16123),x16122)+P9(a69,x16121,f9(a69,x16122,x16123))
% 55.04/55.65 [1613]~P9(a69,x16132,x16133)+~P9(a69,x16131,f9(a69,x16133,x16132))+P9(a69,f12(a69,x16131,x16132),x16133)
% 55.04/55.65 [787]~P51(x7871)+~E(x7872,f3(f72(x7871)))+E(f54(f15(x7871,x7872),x7873),f3(x7871))
% 55.04/55.65 [823]~P51(x8231)+~E(x8232,f3(x8231))+E(f23(x8231,x8232,x8233),f3(f72(x8231)))
% 55.04/55.65 [824]~P29(x8241)+~E(x8242,f3(x8241))+E(f16(x8241,x8242,x8243),f3(f72(x8241)))
% 55.04/55.65 [865]~P51(x8651)+~E(x8653,f3(f72(x8651)))+E(f23(x8651,x8652,x8653),f3(f72(x8651)))
% 55.04/55.65 [866]~P57(x8661)+~E(x8662,f3(f72(x8661)))+E(f7(x8661,x8662,x8663),f3(f72(x8661)))
% 55.04/55.65 [930]~P51(x9301)+E(f19(x9301,x9302,x9303),f3(a69))+E(f54(f15(x9301,x9303),x9302),f3(x9301))
% 55.04/55.65 [943]~P29(x9432)+E(x9431,f3(x9432))+~E(f16(x9432,x9431,x9433),f3(f72(x9432)))
% 55.04/55.65 [944]~P29(x9442)+E(x9441,f3(x9442))+~E(f18(x9442,x9441,x9443),f3(f72(x9442)))
% 55.04/55.65 [967]~P57(x9672)+~E(f7(x9672,x9671,x9673),f3(f72(x9672)))+E(x9671,f3(f72(x9672)))
% 55.04/55.65 [968]~P29(x9682)+~E(f18(x9682,x9683,x9681),f3(f72(x9682)))+E(x9681,f3(f72(x9682)))
% 55.04/55.65 [1247]~P50(x12471)+~P10(f72(x12471),x12473,x12472)+P12(x12471,f9(f72(x12471),x12472,x12473))
% 55.04/55.65 [1321]~P50(x13211)+P10(f72(x13211),x13212,x13213)+~P12(x13211,f9(f72(x13211),x13213,x13212))
% 55.04/55.65 [1322]~P50(x13221)+P9(f72(x13221),x13222,x13223)+~P12(x13221,f9(f72(x13221),x13223,x13222))
% 55.04/55.65 [1536]E(x15361,f3(a1))+~P9(a1,x15362,f3(a1))+~P9(a1,f8(a1,x15361),f54(f54(f11(a1),x15362),f8(a1,x15363)))
% 55.04/55.65 [1585]P10(a69,x15852,x15851)+E(f12(a69,x15851,f38(x15851,x15852,x15853)),x15852)+P82(f54(x15853,f9(a69,x15852,x15851)))
% 55.04/55.65 [1586]P10(a69,x15862,x15861)+E(f12(a69,x15861,f39(x15861,x15862,x15863)),x15862)+P82(f54(x15863,f9(a69,x15862,x15861)))
% 55.04/55.65 [1594]E(f12(a69,x15941,f38(x15941,x15942,x15943)),x15942)+P82(f54(x15943,f9(a69,x15942,x15941)))+~P82(f54(x15943,f3(a69)))
% 55.04/55.65 [1595]E(f12(a69,x15951,f39(x15951,x15952,x15953)),x15952)+P82(f54(x15953,f9(a69,x15952,x15951)))+~P82(f54(x15953,f3(a69)))
% 55.04/55.65 [1602]~P9(a69,x16022,x16023)+~P9(a69,x16022,x16021)+E(f9(a69,f9(a69,x16021,x16022),f9(a69,x16023,x16022)),f9(a69,x16021,x16023))
% 55.04/55.65 [1617]~P10(a69,x16172,x16173)+~P82(f54(x16171,f9(a69,x16172,x16173)))+P82(f54(x16171,f3(a69)))
% 55.04/55.65 [1716]P10(a69,x17161,x17162)+~P82(f54(x17163,f38(x17162,x17161,x17163)))+P82(f54(x17163,f9(a69,x17161,x17162)))
% 55.04/55.65 [1717]P10(a69,x17171,x17172)+~P82(f54(x17173,f39(x17172,x17171,x17173)))+P82(f54(x17173,f9(a69,x17171,x17172)))
% 55.04/55.65 [1719]~P82(f54(x17191,f38(x17193,x17192,x17191)))+P82(f54(x17191,f9(a69,x17192,x17193)))+~P82(f54(x17191,f3(a69)))
% 55.04/55.65 [1720]~P82(f54(x17201,f39(x17203,x17202,x17201)))+P82(f54(x17201,f9(a69,x17202,x17203)))+~P82(f54(x17201,f3(a69)))
% 55.04/55.65 [790]~P28(x7901)+~E(x7903,f3(a69))+E(f54(f54(f21(x7901),x7902),x7903),f4(x7901))
% 55.04/55.65 [802]~P80(x8021)+~E(x8023,f3(x8021))+E(f54(f54(f11(x8021),x8022),x8023),f3(x8021))
% 55.04/55.65 [803]~P80(x8031)+~E(x8032,f3(x8031))+E(f54(f54(f11(x8031),x8032),x8033),f3(x8031))
% 55.04/55.65 [914]~P63(x9142)+E(x9141,f3(x9142))+~E(f54(f54(f21(x9142),x9141),x9143),f3(x9142))
% 55.04/55.65 [934]~P56(x9341)+E(f26(x9341,x9342),x9343)+~E(f54(f54(f11(x9341),x9342),x9343),f4(x9341))
% 55.04/55.65 [989]~P51(x9891)+~E(x9892,f10(x9891,x9893))+E(f54(f54(f11(x9891),x9892),x9892),f54(f54(f11(x9891),x9893),x9893))
% 55.04/55.65 [1047]E(x10471,x10472)+E(x10473,f3(a1))+~E(f54(f54(f11(a1),x10473),x10471),f54(f54(f11(a1),x10473),x10472))
% 55.04/55.65 [1049]E(x10491,x10492)+E(x10493,f3(a69))+~E(f54(f54(f11(a69),x10493),x10491),f54(f54(f11(a69),x10493),x10492))
% 55.04/55.65 [1050]E(x10501,x10502)+E(x10503,f3(a1))+~E(f54(f54(f11(a1),x10501),x10503),f54(f54(f11(a1),x10502),x10503))
% 55.04/55.65 [1051]E(x10511,x10512)+E(x10513,f3(a69))+~E(f54(f54(f11(a69),x10511),x10513),f54(f54(f11(a69),x10512),x10513))
% 55.04/55.65 [1245]E(x12451,x12452)+~P10(a69,f3(a69),x12453)+~E(f54(f54(f11(a69),x12453),x12451),f54(f54(f11(a69),x12453),x12452))
% 55.04/55.65 [1304]~P49(x13041)+~P10(x13041,f3(x13041),x13042)+P10(x13041,f3(x13041),f54(f54(f21(x13041),x13042),x13043))
% 55.04/55.65 [1305]~P49(x13051)+~P9(x13051,f3(x13051),x13052)+P9(x13051,f3(x13051),f54(f54(f21(x13051),x13052),x13053))
% 55.04/55.65 [1306]~P49(x13061)+~P9(x13061,f4(x13061),x13062)+P9(x13061,f4(x13061),f54(f54(f21(x13061),x13062),x13063))
% 55.04/55.65 [1502]~P10(a1,x15021,x15023)+~P10(a1,f3(a1),x15022)+P10(a1,f54(f54(f11(a1),x15021),x15022),f54(f54(f11(a1),x15023),x15022))
% 55.04/55.65 [1503]~P10(a1,x15032,x15033)+~P10(a1,f3(a1),x15031)+P10(a1,f54(f54(f11(a1),x15031),x15032),f54(f54(f11(a1),x15031),x15033))
% 55.04/55.65 [1507]~P10(a69,x15071,x15073)+~P10(a69,f3(a69),x15072)+P10(a69,f54(f54(f11(a69),x15071),x15072),f54(f54(f11(a69),x15073),x15072))
% 55.04/55.65 [1508]~P10(a69,x15082,x15083)+~P10(a69,f3(a69),x15081)+P10(a69,f54(f54(f11(a69),x15081),x15082),f54(f54(f11(a69),x15081),x15083))
% 55.04/55.65 [1509]~P10(a70,x15092,x15093)+~P10(a70,f3(a70),x15091)+P10(a70,f54(f54(f11(a70),x15091),x15092),f54(f54(f11(a70),x15091),x15093))
% 55.04/55.65 [1510]~P9(a1,x15102,x15103)+~P10(a1,f3(a1),x15101)+P9(a1,f54(f54(f11(a1),x15101),x15102),f54(f54(f11(a1),x15101),x15103))
% 55.04/55.65 [1511]~P9(a1,x15111,x15113)+~P10(a1,f3(a1),x15112)+P9(a1,f54(f54(f11(a1),x15111),x15112),f54(f54(f11(a1),x15113),x15112))
% 55.04/55.65 [1626]P10(a1,x16261,x16262)+~P10(a1,f3(a1),x16263)+~P10(a1,f54(f54(f11(a1),x16261),x16263),f54(f54(f11(a1),x16262),x16263))
% 55.04/55.65 [1627]P10(a69,x16271,x16272)+~P10(a69,f3(a69),x16273)+~P10(a69,f54(f54(f21(a69),x16273),x16271),f54(f54(f21(a69),x16273),x16272))
% 55.04/55.65 [1629]P9(a1,x16291,x16292)+~P10(a1,f3(a1),x16293)+~P9(a1,f54(f54(f11(a1),x16293),x16291),f54(f54(f11(a1),x16293),x16292))
% 55.04/55.65 [1630]P9(a1,x16301,x16302)+~P10(a1,f3(a1),x16303)+~P9(a1,f54(f54(f11(a1),x16301),x16303),f54(f54(f11(a1),x16302),x16303))
% 55.04/55.65 [1632]P9(a69,x16321,x16322)+~P10(a69,f3(a69),x16323)+~P9(a69,f54(f54(f11(a69),x16323),x16321),f54(f54(f11(a69),x16323),x16322))
% 55.04/55.65 [1633]P9(a69,x16331,x16332)+~P10(a69,f3(a69),x16333)+~P9(a69,f54(f54(f11(a69),x16331),x16333),f54(f54(f11(a69),x16332),x16333))
% 55.04/55.65 [1229]~P56(x12292)+E(x12291,f3(x12292))+E(f54(f54(f21(x12292),f26(x12292,x12291)),x12293),f26(x12292,f54(f54(f21(x12292),x12291),x12293)))
% 55.04/55.65 [1378]~P50(x13781)+~P9(x13781,f3(x13781),x13783)+E(f54(f54(f11(x13781),f8(x13781,x13782)),x13783),f8(x13781,f54(f54(f11(x13781),x13782),x13783)))
% 55.04/55.65 [1537]~P62(x15372)+E(x15371,f3(x15372))+~E(f12(x15372,f54(f54(f11(x15372),x15373),x15373),f54(f54(f11(x15372),x15371),x15371)),f3(x15372))
% 55.04/55.65 [1538]~P62(x15382)+E(x15381,f3(x15382))+~E(f12(x15382,f54(f54(f11(x15382),x15381),x15381),f54(f54(f11(x15382),x15383),x15383)),f3(x15382))
% 55.04/55.65 [1545]~P28(x15452)+E(x15451,f3(a69))+E(f54(f54(f11(x15452),x15453),f54(f54(f21(x15452),x15453),f9(a69,x15451,f4(a69)))),f54(f54(f21(x15452),x15453),x15451))
% 55.04/55.65 [1601]~P49(x16011)+~P10(x16011,f4(x16011),x16012)+P10(x16011,f4(x16011),f54(f54(f11(x16011),x16012),f54(f54(f21(x16011),x16012),x16013)))
% 55.04/55.65 [1688]~P49(x16881)+~P10(x16881,f4(x16881),x16882)+P10(x16881,f54(f54(f21(x16881),x16882),x16883),f54(f54(f11(x16881),x16882),f54(f54(f21(x16881),x16882),x16883)))
% 55.04/55.65 [1692]~P62(x16922)+E(x16921,f3(x16922))+P10(x16922,f3(x16922),f12(x16922,f54(f54(f11(x16922),x16923),x16923),f54(f54(f11(x16922),x16921),x16921)))
% 55.04/55.65 [1693]~P62(x16932)+E(x16931,f3(x16932))+P10(x16932,f3(x16932),f12(x16932,f54(f54(f11(x16932),x16931),x16931),f54(f54(f11(x16932),x16933),x16933)))
% 55.04/55.65 [1741]~P62(x17412)+E(x17411,f3(x17412))+~P9(x17412,f12(x17412,f54(f54(f11(x17412),x17413),x17413),f54(f54(f11(x17412),x17411),x17411)),f3(x17412))
% 55.04/55.65 [1742]~P62(x17422)+E(x17421,f3(x17422))+~P9(x17422,f12(x17422,f54(f54(f11(x17422),x17421),x17421),f54(f54(f11(x17422),x17423),x17423)),f3(x17422))
% 55.04/55.65 [1735]~P4(x17351)+~P10(a69,f3(a69),x17353)+E(f54(f54(f11(x17351),f54(f54(f21(x17351),x17352),f9(a69,x17353,f4(a69)))),x17352),f54(f54(f21(x17351),x17352),x17353))
% 55.04/55.65 [1102]~P20(x11023)+E(x11021,x11022)+~E(f12(x11023,x11024,x11021),f12(x11023,x11024,x11022))
% 55.04/55.65 [1103]~P21(x11033)+E(x11031,x11032)+~E(f12(x11033,x11034,x11031),f12(x11033,x11034,x11032))
% 55.04/55.65 [1105]~P20(x11053)+E(x11051,x11052)+~E(f12(x11053,x11051,x11054),f12(x11053,x11052,x11054))
% 55.04/55.65 [1106]~P29(x11063)+E(x11061,x11062)+~E(f16(x11063,x11061,x11064),f16(x11063,x11062,x11064))
% 55.04/55.65 [1205]~P41(x12052)+~P10(f77(x12051,x12052),x12053,x12054)+P9(f77(x12051,x12052),x12053,x12054)
% 55.04/55.65 [1297]~P41(x12971)+~P9(f77(x12972,x12971),x12974,x12973)+~P10(f77(x12972,x12971),x12973,x12974)
% 55.04/55.65 [1316]~P58(x13161)+~P13(f72(x13161),x13162,x13164)+P13(f72(x13161),x13162,f23(x13161,x13163,x13164))
% 55.04/55.65 [1358]~P10(a69,x13583,x13584)+P10(a69,x13581,x13582)+~E(f12(a69,x13583,x13582),f12(a69,x13581,x13584))
% 55.04/55.65 [1404]~P58(x14041)+~P13(f72(x14041),f23(x14041,x14044,x14042),x14043)+P13(f72(x14041),x14042,x14043)
% 55.04/55.65 [1438]~P33(x14381)+~P10(x14381,x14383,x14384)+P10(x14381,f12(x14381,x14382,x14383),f12(x14381,x14382,x14384))
% 55.04/55.65 [1439]~P35(x14391)+~P10(x14391,x14393,x14394)+P10(x14391,f12(x14391,x14392,x14393),f12(x14391,x14392,x14394))
% 55.04/55.65 [1440]~P33(x14401)+~P10(x14401,x14402,x14404)+P10(x14401,f12(x14401,x14402,x14403),f12(x14401,x14404,x14403))
% 55.04/55.65 [1441]~P35(x14411)+~P10(x14411,x14412,x14414)+P10(x14411,f12(x14411,x14412,x14413),f12(x14411,x14414,x14413))
% 55.04/55.65 [1442]~P33(x14421)+~P9(x14421,x14423,x14424)+P9(x14421,f12(x14421,x14422,x14423),f12(x14421,x14422,x14424))
% 55.04/55.65 [1443]~P34(x14431)+~P9(x14431,x14433,x14434)+P9(x14431,f12(x14431,x14432,x14433),f12(x14431,x14432,x14434))
% 55.04/55.65 [1444]~P33(x14441)+~P9(x14441,x14442,x14444)+P9(x14441,f12(x14441,x14442,x14443),f12(x14441,x14444,x14443))
% 55.04/55.65 [1445]~P34(x14451)+~P9(x14451,x14452,x14454)+P9(x14451,f12(x14451,x14452,x14453),f12(x14451,x14454,x14453))
% 55.04/55.65 [1539]~P10(a69,x15392,x15394)+~P10(a69,x15391,x15393)+P10(a69,f12(a69,x15391,x15392),f12(a69,x15393,x15394))
% 55.04/55.65 [1542]~P10(a70,x15421,x15423)+~P9(a70,x15422,x15424)+P10(a70,f12(a70,x15421,x15422),f12(a70,x15423,x15424))
% 55.04/55.65 [1543]~P9(a69,x15432,x15434)+~P9(a69,x15431,x15433)+P9(a69,f12(a69,x15431,x15432),f12(a69,x15433,x15434))
% 55.04/55.65 [1604]~P33(x16041)+P10(x16041,x16042,x16043)+~P10(x16041,f12(x16041,x16044,x16042),f12(x16041,x16044,x16043))
% 55.04/55.65 [1606]~P33(x16061)+P10(x16061,x16062,x16063)+~P10(x16061,f12(x16061,x16062,x16064),f12(x16061,x16063,x16064))
% 55.04/55.65 [1608]~P33(x16081)+P9(x16081,x16082,x16083)+~P9(x16081,f12(x16081,x16084,x16082),f12(x16081,x16084,x16083))
% 55.04/55.65 [1610]~P33(x16101)+P9(x16101,x16102,x16103)+~P9(x16101,f12(x16101,x16102,x16104),f12(x16101,x16103,x16104))
% 55.04/55.65 [1138]~P57(x11382)+~E(f18(x11382,x11383,x11381),f23(x11382,x11384,x11381))+E(x11381,f3(f72(x11382)))
% 55.04/55.65 [1599]~P57(x15992)+~E(f12(f72(x15992),f23(x15992,x15993,x15991),f18(x15992,x15994,x15991)),f3(f72(x15992)))+E(x15991,f3(f72(x15992)))
% 55.04/55.65 [1615]~E(x16153,f12(a69,x16154,x16152))+P82(f54(x16151,x16152))+~P82(f54(x16151,f9(a69,x16153,x16154)))
% 55.04/55.65 [1708]~P50(x17081)+P10(x17081,x17082,f12(x17081,x17083,x17084))+~P10(x17081,f8(x17081,f9(x17081,x17082,x17083)),x17084)
% 55.04/55.65 [1709]~P50(x17091)+P10(x17091,f9(x17091,x17092,x17093),x17094)+~P10(x17091,f8(x17091,f9(x17091,x17094,x17092)),x17093)
% 55.04/55.65 [1801]~P41(x18012)+P9(f77(x18011,x18012),x18013,x18014)+~P9(x18012,f54(x18013,f47(x18014,x18013,x18011,x18012)),f54(x18014,f47(x18014,x18013,x18011,x18012)))
% 55.04/55.65 [1362]~P58(x13621)+P13(x13621,x13622,x13623)+~P13(x13621,f54(f54(f11(x13621),x13624),x13622),x13623)
% 55.04/55.65 [1433]~P58(x14331)+~P13(x14331,x14332,x14334)+P13(x14331,f54(f54(f21(x14331),x14332),x14333),f54(f54(f21(x14331),x14334),x14333))
% 55.04/55.65 [1496]~P9(a69,x14962,x14964)+~P9(a69,x14961,x14963)+P9(a69,f54(f54(f11(a69),x14961),x14962),f54(f54(f11(a69),x14963),x14964))
% 55.04/55.65 [1107]~P29(x11073)+E(x11071,x11072)+~E(f18(x11073,x11074,x11071),f18(x11073,x11075,x11072))
% 55.04/55.65 [1108]~P29(x11083)+E(x11081,x11082)+~E(f18(x11083,x11081,x11084),f18(x11083,x11082,x11085))
% 55.04/55.65 [1262]~P41(x12621)+P9(x12621,f54(x12622,x12623),f54(x12624,x12623))+~P9(f77(x12625,x12621),x12622,x12624)
% 55.04/55.65 [1490]~P57(x14902)+~E(f12(f72(x14902),x14903,f23(x14902,x14904,x14905)),f18(x14902,x14901,x14905))+E(x14901,f54(f15(x14902,x14903),x14904))
% 55.04/55.65 [1517]~P57(x15172)+E(x15171,f24(x15172,x15173,x15174))+~E(f12(f72(x15172),x15173,f23(x15172,x15174,x15171)),f18(x15172,x15175,x15171))
% 55.04/55.65 [1647]~E(x16472,x16474)+~P81(x16471)+E(f12(x16471,f54(f54(f11(x16471),x16472),x16473),f54(f54(f11(x16471),x16474),x16475)),f12(x16471,f54(f54(f11(x16471),x16472),x16475),f54(f54(f11(x16471),x16474),x16473)))
% 55.04/55.65 [1755]~P9(a69,x17553,x17552)+E(x17551,f12(a69,f54(f54(f11(a69),f9(a69,x17552,x17553)),x17554),x17555))+~E(f12(a69,f54(f54(f11(a69),x17553),x17554),x17551),f12(a69,f54(f54(f11(a69),x17552),x17554),x17555))
% 55.04/55.65 [1756]~P9(a69,x17562,x17561)+E(f12(a69,f54(f54(f11(a69),f9(a69,x17561,x17562)),x17563),x17564),x17565)+~E(f12(a69,f54(f54(f11(a69),x17561),x17563),x17564),f12(a69,f54(f54(f11(a69),x17562),x17563),x17565))
% 55.04/55.65 [1764]~P9(a69,x17644,x17641)+~E(x17645,f12(a69,f54(f54(f11(a69),f9(a69,x17641,x17644)),x17642),x17643))+E(f12(a69,f54(f54(f11(a69),x17641),x17642),x17643),f12(a69,f54(f54(f11(a69),x17644),x17642),x17645))
% 55.04/55.65 [1765]~P9(a69,x17654,x17651)+~E(f12(a69,f54(f54(f11(a69),f9(a69,x17651,x17654)),x17652),x17653),x17655)+E(f12(a69,f54(f54(f11(a69),x17651),x17652),x17653),f12(a69,f54(f54(f11(a69),x17654),x17652),x17655))
% 55.04/55.65 [1782]~P9(a69,x17823,x17822)+P10(a69,x17821,f12(a69,f54(f54(f11(a69),f9(a69,x17822,x17823)),x17824),x17825))+~P10(a69,f12(a69,f54(f54(f11(a69),x17823),x17824),x17821),f12(a69,f54(f54(f11(a69),x17822),x17824),x17825))
% 55.04/55.65 [1783]~P9(a69,x17833,x17832)+P9(a69,x17831,f12(a69,f54(f54(f11(a69),f9(a69,x17832,x17833)),x17834),x17835))+~P9(a69,f12(a69,f54(f54(f11(a69),x17833),x17834),x17831),f12(a69,f54(f54(f11(a69),x17832),x17834),x17835))
% 55.04/55.65 [1784]~P9(a69,x17842,x17841)+P10(a69,f12(a69,f54(f54(f11(a69),f9(a69,x17841,x17842)),x17843),x17844),x17845)+~P10(a69,f12(a69,f54(f54(f11(a69),x17841),x17843),x17844),f12(a69,f54(f54(f11(a69),x17842),x17843),x17845))
% 55.04/55.65 [1785]~P9(a69,x17852,x17851)+P9(a69,f12(a69,f54(f54(f11(a69),f9(a69,x17851,x17852)),x17853),x17854),x17855)+~P9(a69,f12(a69,f54(f54(f11(a69),x17851),x17853),x17854),f12(a69,f54(f54(f11(a69),x17852),x17853),x17855))
% 55.04/55.65 [1791]~P9(a69,x17911,x17914)+~P10(a69,x17913,f12(a69,f54(f54(f11(a69),f9(a69,x17914,x17911)),x17912),x17915))+P10(a69,f12(a69,f54(f54(f11(a69),x17911),x17912),x17913),f12(a69,f54(f54(f11(a69),x17914),x17912),x17915))
% 55.04/55.65 [1792]~P9(a69,x17921,x17924)+~P9(a69,x17923,f12(a69,f54(f54(f11(a69),f9(a69,x17924,x17921)),x17922),x17925))+P9(a69,f12(a69,f54(f54(f11(a69),x17921),x17922),x17923),f12(a69,f54(f54(f11(a69),x17924),x17922),x17925))
% 55.04/55.65 [1793]~P9(a69,x17934,x17931)+~P10(a69,f12(a69,f54(f54(f11(a69),f9(a69,x17931,x17934)),x17932),x17933),x17935)+P10(a69,f12(a69,f54(f54(f11(a69),x17931),x17932),x17933),f12(a69,f54(f54(f11(a69),x17934),x17932),x17935))
% 55.04/55.65 [1794]~P9(a69,x17944,x17941)+~P9(a69,f12(a69,f54(f54(f11(a69),f9(a69,x17941,x17944)),x17942),x17943),x17945)+P9(a69,f12(a69,f54(f54(f11(a69),x17941),x17942),x17943),f12(a69,f54(f54(f11(a69),x17944),x17942),x17945))
% 55.04/55.65 [1753]~P70(x17532)+~E(f12(x17532,f54(f54(f11(x17532),x17534),x17535),x17531),f12(x17532,f54(f54(f11(x17532),x17533),x17535),x17536))+E(x17531,f12(x17532,f54(f54(f11(x17532),f9(x17532,x17533,x17534)),x17535),x17536))
% 55.04/55.65 [1754]~P70(x17541)+~E(f12(x17541,f54(f54(f11(x17541),x17542),x17544),x17545),f12(x17541,f54(f54(f11(x17541),x17543),x17544),x17546))+E(f12(x17541,f54(f54(f11(x17541),f9(x17541,x17542,x17543)),x17544),x17545),x17546)
% 55.04/55.65 [1762]~P70(x17621)+~E(x17626,f12(x17621,f54(f54(f11(x17621),f9(x17621,x17622,x17625)),x17623),x17624))+E(f12(x17621,f54(f54(f11(x17621),x17622),x17623),x17624),f12(x17621,f54(f54(f11(x17621),x17625),x17623),x17626))
% 55.04/55.65 [1763]~P70(x17631)+~E(f12(x17631,f54(f54(f11(x17631),f9(x17631,x17632,x17635)),x17633),x17634),x17636)+E(f12(x17631,f54(f54(f11(x17631),x17632),x17633),x17634),f12(x17631,f54(f54(f11(x17631),x17635),x17633),x17636))
% 55.04/55.65 [1786]~P72(x17861)+~P10(x17861,f12(x17861,f54(f54(f11(x17861),x17864),x17865),x17862),f12(x17861,f54(f54(f11(x17861),x17863),x17865),x17866))+P10(x17861,x17862,f12(x17861,f54(f54(f11(x17861),f9(x17861,x17863,x17864)),x17865),x17866))
% 55.04/55.65 [1787]~P72(x17871)+~P9(x17871,f12(x17871,f54(f54(f11(x17871),x17874),x17875),x17872),f12(x17871,f54(f54(f11(x17871),x17873),x17875),x17876))+P9(x17871,x17872,f12(x17871,f54(f54(f11(x17871),f9(x17871,x17873,x17874)),x17875),x17876))
% 55.04/55.65 [1788]~P72(x17881)+~P10(x17881,f12(x17881,f54(f54(f11(x17881),x17882),x17884),x17885),f12(x17881,f54(f54(f11(x17881),x17883),x17884),x17886))+P10(x17881,f12(x17881,f54(f54(f11(x17881),f9(x17881,x17882,x17883)),x17884),x17885),x17886)
% 55.04/55.65 [1789]~P72(x17891)+~P9(x17891,f12(x17891,f54(f54(f11(x17891),x17892),x17894),x17895),f12(x17891,f54(f54(f11(x17891),x17893),x17894),x17896))+P9(x17891,f12(x17891,f54(f54(f11(x17891),f9(x17891,x17892,x17893)),x17894),x17895),x17896)
% 55.04/55.65 [1795]~P72(x17951)+~P10(x17951,x17954,f12(x17951,f54(f54(f11(x17951),f9(x17951,x17955,x17952)),x17953),x17956))+P10(x17951,f12(x17951,f54(f54(f11(x17951),x17952),x17953),x17954),f12(x17951,f54(f54(f11(x17951),x17955),x17953),x17956))
% 55.04/55.65 [1796]~P72(x17961)+~P9(x17961,x17964,f12(x17961,f54(f54(f11(x17961),f9(x17961,x17965,x17962)),x17963),x17966))+P9(x17961,f12(x17961,f54(f54(f11(x17961),x17962),x17963),x17964),f12(x17961,f54(f54(f11(x17961),x17965),x17963),x17966))
% 55.04/55.65 [1797]~P72(x17971)+~P10(x17971,f12(x17971,f54(f54(f11(x17971),f9(x17971,x17972,x17975)),x17973),x17974),x17976)+P10(x17971,f12(x17971,f54(f54(f11(x17971),x17972),x17973),x17974),f12(x17971,f54(f54(f11(x17971),x17975),x17973),x17976))
% 55.04/55.65 [1798]~P72(x17981)+~P9(x17981,f12(x17981,f54(f54(f11(x17981),f9(x17981,x17982,x17985)),x17983),x17984),x17986)+P9(x17981,f12(x17981,f54(f54(f11(x17981),x17982),x17983),x17984),f12(x17981,f54(f54(f11(x17981),x17985),x17983),x17986))
% 55.04/55.65 [980]~P38(x9802)+~P10(x9802,f3(x9802),x9801)+E(f13(x9802,x9801),f4(x9802))+E(x9801,f3(x9802))
% 55.04/55.65 [1188]~P15(x11882)+~P10(x11882,f26(x11882,x11881),f3(x11882))+P10(x11882,x11881,f3(x11882))+E(x11881,f3(x11882))
% 55.04/55.65 [1189]~P15(x11892)+~P10(x11892,f3(x11892),f26(x11892,x11891))+P10(x11892,f3(x11892),x11891)+E(x11891,f3(x11892))
% 55.04/55.65 [1302]~P6(x13021)+P10(x13021,f4(x13021),x13022)+~P10(x13021,f26(x13021,x13022),f4(x13021))+P9(x13021,x13022,f3(x13021))
% 55.04/55.65 [1303]~P6(x13031)+P9(x13031,f4(x13031),x13032)+~P9(x13031,f26(x13031,x13032),f4(x13031))+P9(x13031,x13032,f3(x13031))
% 55.04/55.65 [1328]~P6(x13281)+~P10(x13281,x13282,f4(x13281))+~P10(x13281,f3(x13281),x13282)+P10(x13281,f4(x13281),f26(x13281,x13282))
% 55.04/55.65 [1329]~P15(x13291)+~P10(x13291,x13292,f4(x13291))+~P10(x13291,f3(x13291),x13292)+P10(x13291,f4(x13291),f26(x13291,x13292))
% 55.04/55.65 [1330]~P6(x13301)+~P9(x13301,x13302,f4(x13301))+~P10(x13301,f3(x13301),x13302)+P9(x13301,f4(x13301),f26(x13301,x13302))
% 55.04/55.65 [1331]~P15(x13311)+~P9(x13311,x13312,f4(x13311))+~P10(x13311,f3(x13311),x13312)+P9(x13311,f4(x13311),f26(x13311,x13312))
% 55.04/55.65 [838]P12(x8382,x8381)+~P50(x8382)+P12(x8382,f10(f72(x8382),x8381))+E(x8381,f3(f72(x8382)))
% 55.04/55.65 [929]~P38(x9292)+P10(x9292,f3(x9292),x9291)+E(x9291,f3(x9292))+E(f13(x9292,x9291),f10(x9292,f4(x9292)))
% 55.04/55.65 [1079]~P50(x10792)+~P10(f72(x10792),f3(f72(x10792)),x10791)+E(f13(f72(x10792),x10791),f4(f72(x10792)))+E(x10791,f3(f72(x10792)))
% 55.04/55.65 [839]~P28(x8392)+~P78(x8392)+E(x8391,f3(a69))+E(f54(f54(f21(x8392),f3(x8392)),x8391),f3(x8392))
% 55.04/55.65 [975]~P63(x9752)+E(x9751,f4(x9752))+E(x9751,f10(x9752,f4(x9752)))+~E(f54(f54(f11(x9752),x9751),x9751),f4(x9752))
% 55.04/55.65 [1033]~E(x10332,f4(a70))+~E(x10331,f4(a70))+~P10(a70,f3(a70),x10331)+E(f54(f54(f11(a70),x10331),x10332),f4(a70))
% 55.04/55.65 [1062]~P50(x10622)+P10(f72(x10622),f3(f72(x10622)),x10621)+E(x10621,f3(f72(x10622)))+E(f13(f72(x10622),x10621),f10(f72(x10622),f4(f72(x10622))))
% 55.04/55.65 [1739]~P10(a1,x17392,x17391)+~P9(a1,x17391,f4(a1))+~P9(a1,f3(a1),x17392)+P10(a1,f12(a1,f8(a1,f9(a1,f4(a1),x17391)),x17392),f4(a1))
% 55.04/55.65 [960]P10(x9603,x9601,x9602)+~P50(x9603)+E(x9601,x9602)+P10(x9603,x9602,x9601)
% 55.04/55.65 [966]P10(x9663,x9661,x9662)+~P42(x9663)+E(x9661,x9662)+P10(x9663,x9662,x9661)
% 55.04/55.65 [969]P9(x9691,x9692,x9693)+~E(x9692,x9693)+~P42(x9691)+P10(x9691,x9692,x9693)
% 55.04/55.65 [1036]~P45(x10363)+~P9(x10363,x10362,x10361)+E(x10361,x10362)+P10(x10363,x10362,x10361)
% 55.04/55.65 [1038]~P42(x10383)+~P9(x10383,x10381,x10382)+E(x10381,x10382)+P10(x10383,x10381,x10382)
% 55.04/55.65 [1044]~P45(x10443)+~P9(x10443,x10441,x10442)+E(x10441,x10442)+P10(x10443,x10441,x10442)
% 55.04/55.65 [1114]~P9(x11143,x11142,x11141)+~P9(x11143,x11141,x11142)+E(x11141,x11142)+~P45(x11143)
% 55.04/55.65 [1171]P9(x11711,x11713,x11712)+~P40(x11711)+~P9(x11711,x11712,x11713)+P10(x11711,x11712,x11713)
% 55.04/55.65 [755]~P51(x7553)+~P39(x7553)+E(x7551,x7552)+~E(f15(x7553,x7551),f15(x7553,x7552))
% 55.04/55.65 [1318]~P50(x13181)+P12(x13181,x13182)+P10(x13181,f3(x13181),x13183)+~P12(x13181,f18(x13181,x13183,x13182))
% 55.04/55.65 [1341]~P15(x13411)+~P10(x13411,x13413,x13412)+~P10(x13411,x13412,f3(x13411))+P10(x13411,f26(x13411,x13412),f26(x13411,x13413))
% 55.04/55.65 [1342]~P15(x13421)+~P9(x13421,x13423,x13422)+~P10(x13421,x13422,f3(x13421))+P9(x13421,f26(x13421,x13422),f26(x13421,x13423))
% 55.04/55.65 [1343]~P15(x13431)+~P10(x13431,x13433,x13432)+~P10(x13431,f3(x13431),x13433)+P10(x13431,f26(x13431,x13432),f26(x13431,x13433))
% 55.04/55.65 [1344]~P15(x13441)+~P9(x13441,x13443,x13442)+~P10(x13441,f3(x13441),x13443)+P9(x13441,f26(x13441,x13442),f26(x13441,x13443))
% 55.04/55.65 [1353]~P50(x13531)+~P10(x13531,x13532,x13533)+~P10(x13531,f10(x13531,x13532),x13533)+P10(x13531,f8(x13531,x13532),x13533)
% 55.04/55.65 [1355]~P30(x13551)+~P9(x13551,x13552,x13553)+~P9(x13551,f10(x13551,x13552),x13553)+P9(x13551,f8(x13551,x13552),x13553)
% 55.04/55.65 [1386]~P15(x13861)+P10(x13861,x13862,x13863)+~P10(x13861,x13862,f3(x13861))+~P10(x13861,f26(x13861,x13863),f26(x13861,x13862))
% 55.04/55.65 [1387]~P15(x13871)+P9(x13871,x13872,x13873)+~P10(x13871,x13872,f3(x13871))+~P9(x13871,f26(x13871,x13873),f26(x13871,x13872))
% 55.04/55.65 [1388]~P15(x13881)+P10(x13881,x13882,x13883)+~P10(x13881,f3(x13881),x13883)+~P10(x13881,f26(x13881,x13883),f26(x13881,x13882))
% 55.04/55.65 [1389]~P15(x13891)+P9(x13891,x13892,x13893)+~P10(x13891,f3(x13891),x13893)+~P9(x13891,f26(x13891,x13893),f26(x13891,x13892))
% 55.04/55.65 [1408]E(x14081,x14082)+~P9(a69,x14083,x14082)+~P9(a69,x14083,x14081)+~E(f9(a69,x14081,x14083),f9(a69,x14082,x14083))
% 55.04/55.65 [1466]~P36(x14661)+~P10(x14661,f3(x14661),x14663)+~P10(x14661,f3(x14661),x14662)+P10(x14661,f3(x14661),f12(x14661,x14662,x14663))
% 55.04/55.65 [1470]~P36(x14701)+~P10(x14701,x14703,f3(x14701))+~P10(x14701,x14702,f3(x14701))+P10(x14701,f12(x14701,x14702,x14703),f3(x14701))
% 55.04/55.65 [1471]~P36(x14711)+~P10(x14711,x14713,f3(x14711))+~P9(x14711,x14712,f3(x14711))+P10(x14711,f12(x14711,x14712,x14713),f3(x14711))
% 55.04/55.65 [1472]~P36(x14721)+~P10(x14721,x14722,f3(x14721))+~P9(x14721,x14723,f3(x14721))+P10(x14721,f12(x14721,x14722,x14723),f3(x14721))
% 55.04/55.65 [1473]~P36(x14731)+~P9(x14731,x14733,f3(x14731))+~P9(x14731,x14732,f3(x14731))+P9(x14731,f12(x14731,x14732,x14733),f3(x14731))
% 55.04/55.65 [1706]~P9(a69,x17063,x17061)+P10(a69,x17061,x17062)+~P9(a69,x17063,x17062)+~P10(a69,f9(a69,x17061,x17063),f9(a69,x17062,x17063))
% 55.04/55.65 [1707]~P9(a69,x17073,x17071)+P9(a69,x17071,x17072)+~P9(a69,x17073,x17072)+~P9(a69,f9(a69,x17071,x17073),f9(a69,x17072,x17073))
% 55.04/55.65 [908]~P29(x9081)+~E(x9082,f3(x9081))+~E(x9083,f3(f72(x9081)))+E(f18(x9081,x9082,x9083),f3(f72(x9081)))
% 55.04/55.65 [979]~P51(x9792)+E(x9791,f3(x9792))+~E(f23(x9792,x9791,x9793),f3(f72(x9792)))+E(x9793,f3(f72(x9792)))
% 55.04/55.65 [1087]~P51(x10872)+~E(f19(x10872,x10873,x10871),f3(a69))+~E(f54(f15(x10872,x10871),x10873),f3(x10872))+E(x10871,f3(f72(x10872)))
% 55.04/55.65 [1126]~P50(x11261)+~P12(x11261,x11263)+~P12(x11261,x11262)+P12(x11261,f12(f72(x11261),x11262,x11263))
% 55.04/55.65 [1217]P12(x12172,x12171)+~P50(x12172)+~P12(x12172,f18(x12172,x12173,x12171))+E(x12171,f3(f72(x12172)))
% 55.04/55.65 [1250]~P50(x12503)+E(x12501,x12502)+~P9(f72(x12503),x12501,x12502)+P12(x12503,f9(f72(x12503),x12502,x12501))
% 55.04/55.65 [1268]~P50(x12681)+~P10(x12681,f3(x12681),x12682)+P12(x12681,f18(x12681,x12682,x12683))+~E(x12683,f3(f72(x12681)))
% 55.04/55.65 [1476]~P48(x14761)+~P9(a1,x14763,f28(x14761,x14762))+~P10(a1,f3(a1),x14763)+P9(a1,f28(x14761,f26(x14761,x14762)),f26(a1,x14763))
% 55.04/55.65 [1749]~P56(x17492)+E(x17491,f3(x17492))+E(x17493,f3(x17492))+E(f54(f54(f11(x17492),f54(f54(f11(x17492),f26(x17492,x17493)),f12(x17492,x17493,x17491))),f26(x17492,x17491)),f12(x17492,f26(x17492,x17493),f26(x17492,x17491)))
% 55.04/55.65 [1750]~P56(x17502)+E(x17501,f3(x17502))+E(x17503,f3(x17502))+E(f54(f54(f11(x17502),f54(f54(f11(x17502),f26(x17502,x17503)),f9(x17502,x17501,x17503))),f26(x17502,x17501)),f9(x17502,f26(x17502,x17503),f26(x17502,x17501)))
% 55.04/55.65 [1768]~P8(x17682)+E(x17681,f3(x17682))+E(x17683,f3(x17682))+E(f54(f54(f11(x17682),f54(f54(f11(x17682),f12(x17682,x17683,x17681)),f26(x17682,x17683))),f26(x17682,x17681)),f12(x17682,f26(x17682,x17683),f26(x17682,x17681)))
% 55.04/55.65 [923]~P69(x9232)+E(x9231,f3(x9232))+E(x9233,f3(x9232))+~E(f54(f54(f11(x9232),x9233),x9231),f3(x9232))
% 55.04/55.65 [924]~P80(x9242)+E(x9241,f3(x9242))+E(x9243,f3(x9242))+~E(f54(f54(f11(x9242),x9243),x9241),f3(x9242))
% 55.04/55.65 [1127]~P51(x11273)+E(x11271,x11272)+E(x11271,f10(x11273,x11272))+~E(f54(f54(f11(x11273),x11271),x11271),f54(f54(f11(x11273),x11272),x11272))
% 55.04/55.65 [1434]~P49(x14341)+~P10(x14341,f4(x14341),x14342)+~P10(a69,f3(a69),x14343)+P10(x14341,f4(x14341),f54(f54(f21(x14341),x14342),x14343))
% 55.04/55.65 [1446]~P62(x14461)+~P10(x14461,x14463,f3(x14461))+~P10(x14461,x14462,f3(x14461))+P10(x14461,f3(x14461),f54(f54(f11(x14461),x14462),x14463))
% 55.04/55.65 [1447]~P62(x14471)+~P9(x14471,x14473,f3(x14471))+~P9(x14471,x14472,f3(x14471))+P9(x14471,f3(x14471),f54(f54(f11(x14471),x14472),x14473))
% 55.04/55.65 [1449]~P72(x14491)+~P9(x14491,x14493,f3(x14491))+~P9(x14491,x14492,f3(x14491))+P9(x14491,f3(x14491),f54(f54(f11(x14491),x14492),x14493))
% 55.04/55.65 [1450]~P65(x14501)+~P10(x14501,f3(x14501),x14503)+~P10(x14501,f3(x14501),x14502)+P10(x14501,f3(x14501),f54(f54(f11(x14501),x14502),x14503))
% 55.04/55.65 [1451]~P49(x14511)+~P10(x14511,f4(x14511),x14513)+~P10(x14511,f4(x14511),x14512)+P10(x14511,f4(x14511),f54(f54(f11(x14511),x14512),x14513))
% 55.04/55.65 [1452]~P62(x14521)+~P9(x14521,f3(x14521),x14523)+~P9(x14521,f3(x14521),x14522)+P9(x14521,f3(x14521),f54(f54(f11(x14521),x14522),x14523))
% 55.04/55.65 [1453]~P71(x14531)+~P9(x14531,f3(x14531),x14533)+~P9(x14531,f3(x14531),x14532)+P9(x14531,f3(x14531),f54(f54(f11(x14531),x14532),x14533))
% 55.04/55.65 [1454]~P72(x14541)+~P9(x14541,f3(x14541),x14543)+~P9(x14541,f3(x14541),x14542)+P9(x14541,f3(x14541),f54(f54(f11(x14541),x14542),x14543))
% 55.04/55.65 [1456]~P65(x14561)+~P10(x14561,x14563,f3(x14561))+~P10(x14561,f3(x14561),x14562)+P10(x14561,f54(f54(f11(x14561),x14562),x14563),f3(x14561))
% 55.04/55.65 [1457]~P65(x14571)+~P10(x14571,x14572,f3(x14571))+~P10(x14571,f3(x14571),x14573)+P10(x14571,f54(f54(f11(x14571),x14572),x14573),f3(x14571))
% 55.04/55.65 [1459]~P62(x14591)+~P9(x14591,x14593,f3(x14591))+~P9(x14591,f3(x14591),x14592)+P9(x14591,f54(f54(f11(x14591),x14592),x14593),f3(x14591))
% 55.04/55.65 [1460]~P62(x14601)+~P9(x14601,x14602,f3(x14601))+~P9(x14601,f3(x14601),x14603)+P9(x14601,f54(f54(f11(x14601),x14602),x14603),f3(x14601))
% 55.04/55.65 [1462]~P71(x14621)+~P9(x14621,x14623,f3(x14621))+~P9(x14621,f3(x14621),x14622)+P9(x14621,f54(f54(f11(x14621),x14622),x14623),f3(x14621))
% 55.04/55.65 [1464]~P71(x14641)+~P9(x14641,x14642,f3(x14641))+~P9(x14641,f3(x14641),x14643)+P9(x14641,f54(f54(f11(x14641),x14642),x14643),f3(x14641))
% 55.04/55.65 [1480]~P62(x14801)+P9(x14801,x14802,f3(x14801))+P9(x14801,x14803,f3(x14801))+~P9(x14801,f54(f54(f11(x14801),x14803),x14802),f3(x14801))
% 55.04/55.65 [1481]~P62(x14811)+P9(x14811,x14812,f3(x14811))+P9(x14811,f3(x14811),x14813)+~P9(x14811,f3(x14811),f54(f54(f11(x14811),x14813),x14812))
% 55.04/55.65 [1482]~P62(x14821)+P9(x14821,x14822,f3(x14821))+P9(x14821,f3(x14821),x14823)+~P9(x14821,f3(x14821),f54(f54(f11(x14821),x14822),x14823))
% 55.04/55.65 [1483]~P62(x14831)+P9(x14831,f3(x14831),x14832)+P9(x14831,x14832,f3(x14831))+~P9(x14831,f3(x14831),f54(f54(f11(x14831),x14833),x14832))
% 55.04/55.65 [1484]~P62(x14841)+P9(x14841,f3(x14841),x14842)+P9(x14841,x14842,f3(x14841))+~P9(x14841,f3(x14841),f54(f54(f11(x14841),x14842),x14843))
% 55.04/55.65 [1485]~P62(x14851)+P9(x14851,f3(x14851),x14852)+P9(x14851,x14852,f3(x14851))+~P9(x14851,f54(f54(f11(x14851),x14853),x14852),f3(x14851))
% 55.04/55.65 [1486]~P62(x14861)+P9(x14861,f3(x14861),x14862)+P9(x14861,x14862,f3(x14861))+~P9(x14861,f54(f54(f11(x14861),x14862),x14863),f3(x14861))
% 55.04/55.65 [1487]~P62(x14871)+P9(x14871,f3(x14871),x14872)+P9(x14871,f3(x14871),x14873)+~P9(x14871,f54(f54(f11(x14871),x14872),x14873),f3(x14871))
% 55.04/55.65 [1527]~P65(x15271)+P10(x15271,f3(x15271),x15272)+~P10(x15271,f3(x15271),x15273)+~P10(x15271,f3(x15271),f54(f54(f11(x15271),x15273),x15272))
% 55.04/55.65 [1528]~P65(x15281)+P10(x15281,f3(x15281),x15282)+~P10(x15281,f3(x15281),x15283)+~P10(x15281,f3(x15281),f54(f54(f11(x15281),x15282),x15283))
% 55.04/55.65 [1777]~P56(x17772)+E(x17771,f3(x17772))+E(x17773,f3(x17772))+E(f10(x17772,f54(f54(f11(x17772),f54(f54(f11(x17772),f26(x17772,x17773)),f9(x17772,x17773,x17771))),f26(x17772,x17771))),f9(x17772,f26(x17772,x17773),f26(x17772,x17771)))
% 55.04/55.65 [1208]~P50(x12081)+~P12(x12081,x12083)+~P12(x12081,x12082)+P12(x12081,f54(f54(f11(f72(x12081)),x12082),x12083))
% 55.04/55.65 [1299]~P56(x12992)+E(x12991,f3(x12992))+E(x12993,f3(x12992))+E(f54(f54(f11(x12992),f26(x12992,x12991)),f26(x12992,x12993)),f26(x12992,f54(f54(f11(x12992),x12993),x12991)))
% 55.04/55.65 [1335]~P62(x13351)+~E(x13353,f3(x13351))+~E(x13352,f3(x13351))+E(f12(x13351,f54(f54(f11(x13351),x13352),x13352),f54(f54(f11(x13351),x13353),x13353)),f3(x13351))
% 55.04/55.65 [1550]~P75(x15501)+~P9(x15501,x15502,f3(x15501))+~P9(x15501,x15503,f3(x15501))+E(f54(f54(f11(x15501),f8(x15501,x15502)),f8(x15501,x15503)),f8(x15501,f54(f54(f11(x15501),x15502),x15503)))
% 55.04/55.65 [1551]~P75(x15511)+~P9(x15511,x15512,f3(x15511))+~P9(x15511,f3(x15511),x15513)+E(f54(f54(f11(x15511),f8(x15511,x15512)),f8(x15511,x15513)),f8(x15511,f54(f54(f11(x15511),x15512),x15513)))
% 55.04/55.65 [1552]~P75(x15521)+~P9(x15521,x15523,f3(x15521))+~P9(x15521,f3(x15521),x15522)+E(f54(f54(f11(x15521),f8(x15521,x15522)),f8(x15521,x15523)),f8(x15521,f54(f54(f11(x15521),x15522),x15523)))
% 55.04/55.65 [1553]~P75(x15531)+~P9(x15531,f3(x15531),x15532)+~P9(x15531,f3(x15531),x15533)+E(f54(f54(f11(x15531),f8(x15531,x15532)),f8(x15531,x15533)),f8(x15531,f54(f54(f11(x15531),x15532),x15533)))
% 55.04/55.65 [1593]~P10(a70,x15932,x15933)+~P10(a70,f3(a70),x15933)+P9(a70,f4(a70),x15931)+~E(f12(a70,x15932,f54(f54(f11(a70),x15933),x15931)),x15933)
% 55.04/55.65 [1596]~P10(a70,f3(a70),x15963)+~P9(a70,f3(a70),x15962)+P9(a70,x15961,f4(a70))+~E(f12(a70,x15962,f54(f54(f11(a70),x15963),x15961)),x15963)
% 55.04/55.65 [1694]~P62(x16941)+~E(x16943,f3(x16941))+~E(x16942,f3(x16941))+P9(x16941,f12(x16941,f54(f54(f11(x16941),x16942),x16942),f54(f54(f11(x16941),x16943),x16943)),f3(x16941))
% 55.04/55.65 [1714]~P49(x17141)+~P10(x17141,x17142,f4(x17141))+~P10(x17141,f3(x17141),x17142)+P10(x17141,f54(f54(f11(x17141),x17142),f54(f54(f21(x17141),x17142),x17143)),f54(f54(f21(x17141),x17142),x17143))
% 55.04/55.65 [1727]~P10(a70,x17272,x17273)+~P10(a70,f3(a70),x17273)+P9(a70,f3(a70),x17271)+~P9(a70,f3(a70),f12(a70,f54(f54(f11(a70),x17273),x17271),x17272))
% 55.04/55.65 [1728]P9(a70,x17281,f3(a70))+~P10(a70,f3(a70),x17282)+~P9(a70,f3(a70),x17283)+~P10(a70,f12(a70,f54(f54(f11(a70),x17282),x17281),x17283),f3(a70))
% 55.04/55.65 [1744]~P62(x17442)+~E(x17441,f3(x17442))+~E(x17443,f3(x17442))+~P10(x17442,f3(x17442),f12(x17442,f54(f54(f11(x17442),x17443),x17443),f54(f54(f11(x17442),x17441),x17441)))
% 55.04/55.65 [1233]~P45(x12331)+~P10(x12331,x12334,x12333)+P10(x12331,x12332,x12333)+~P10(x12331,x12332,x12334)
% 55.04/55.65 [1234]~P45(x12341)+~P9(x12341,x12344,x12343)+P10(x12341,x12342,x12343)+~P10(x12341,x12342,x12344)
% 55.04/55.65 [1235]~P45(x12351)+~P9(x12351,x12352,x12354)+P10(x12351,x12352,x12353)+~P10(x12351,x12354,x12353)
% 55.04/55.65 [1236]~P40(x12361)+~P10(x12361,x12362,x12364)+P10(x12361,x12362,x12363)+~P10(x12361,x12364,x12363)
% 55.04/55.65 [1237]~P40(x12371)+~P9(x12371,x12372,x12374)+P10(x12371,x12372,x12373)+~P10(x12371,x12374,x12373)
% 55.04/55.65 [1238]~P40(x12381)+~P9(x12381,x12384,x12383)+P10(x12381,x12382,x12383)+~P10(x12381,x12382,x12384)
% 55.04/55.65 [1239]~P45(x12391)+~P9(x12391,x12394,x12393)+P9(x12391,x12392,x12393)+~P9(x12391,x12392,x12394)
% 55.04/55.65 [1240]~P40(x12401)+~P9(x12401,x12402,x12404)+P9(x12401,x12402,x12403)+~P9(x12401,x12404,x12403)
% 55.04/55.65 [1241]~P58(x12411)+~P13(x12411,x12412,x12414)+P13(x12411,x12412,x12413)+~P13(x12411,x12414,x12413)
% 55.04/55.65 [1209]~P45(x12091)+~P14(x12091,x12092)+~P9(a69,x12094,x12093)+P9(x12091,f54(x12092,x12093),f54(x12092,x12094))
% 55.04/55.65 [1340]~P41(x13402)+P9(f77(x13401,x13402),x13404,x13403)+~P9(f77(x13401,x13402),x13403,x13404)+P10(f77(x13401,x13402),x13403,x13404)
% 55.04/55.65 [1414]~P58(x14141)+~P13(x14141,x14142,x14144)+~P13(x14141,x14142,x14143)+P13(x14141,x14142,f12(x14141,x14143,x14144))
% 55.04/55.65 [1415]~P54(x14151)+~P13(x14151,x14152,x14154)+~P13(x14151,x14152,x14153)+P13(x14151,x14152,f9(x14151,x14153,x14154))
% 55.04/55.65 [1426]~P49(x14261)+~P10(x14261,x14262,x14264)+~P10(x14261,f3(x14261),x14263)+P10(x14261,x14262,f12(x14261,x14263,x14264))
% 55.04/55.65 [1427]~P36(x14271)+~P10(x14271,x14272,x14274)+~P9(x14271,f3(x14271),x14273)+P10(x14271,x14272,f12(x14271,x14273,x14274))
% 55.04/55.65 [1428]~P36(x14281)+~P9(x14281,x14282,x14284)+~P10(x14281,f3(x14281),x14283)+P10(x14281,x14282,f12(x14281,x14283,x14284))
% 55.04/55.65 [1429]~P36(x14291)+~P9(x14291,x14292,x14293)+~P9(x14291,f3(x14291),x14294)+P9(x14291,x14292,f12(x14291,x14293,x14294))
% 55.04/55.65 [1430]~P36(x14301)+~P9(x14301,x14302,x14304)+~P9(x14301,f3(x14301),x14303)+P9(x14301,x14302,f12(x14301,x14303,x14304))
% 55.04/55.65 [1582]~P1(x15822)+E(x15821,f3(x15822))+~P9(a1,x15823,f3(a1))+~P9(a1,f28(x15822,x15821),f54(f54(f11(a1),x15823),f28(x15822,x15824)))
% 55.04/55.65 [1732]~P50(x17321)+~P10(x17321,x17322,f12(x17321,x17323,x17324))+~P10(x17321,f9(x17321,x17323,x17324),x17322)+P10(x17321,f8(x17321,f9(x17321,x17322,x17323)),x17324)
% 55.04/55.65 [1310]~P49(x13103)+E(x13101,x13102)+~P10(x13103,f4(x13103),x13104)+~E(f54(f54(f21(x13103),x13104),x13101),f54(f54(f21(x13103),x13104),x13102))
% 55.04/55.65 [1555]~P49(x15551)+~P10(a69,x15553,x15554)+~P10(x15551,f4(x15551),x15552)+P10(x15551,f54(f54(f21(x15551),x15552),x15553),f54(f54(f21(x15551),x15552),x15554))
% 55.04/55.65 [1556]~P49(x15561)+~P9(a69,x15563,x15564)+~P10(x15561,f4(x15561),x15562)+P9(x15561,f54(f54(f21(x15561),x15562),x15563),f54(f54(f21(x15561),x15562),x15564))
% 55.04/55.65 [1557]~P49(x15571)+~P9(a69,x15573,x15574)+~P9(x15571,f4(x15571),x15572)+P9(x15571,f54(f54(f21(x15571),x15572),x15573),f54(f54(f21(x15571),x15572),x15574))
% 55.04/55.65 [1566]~P62(x15661)+~P10(x15661,x15664,x15662)+~P10(x15661,x15663,f3(x15661))+P10(x15661,f54(f54(f11(x15661),x15662),x15663),f54(f54(f11(x15661),x15664),x15663))
% 55.04/55.65 [1567]~P62(x15671)+~P10(x15671,x15674,x15673)+~P10(x15671,x15672,f3(x15671))+P10(x15671,f54(f54(f11(x15671),x15672),x15673),f54(f54(f11(x15671),x15672),x15674))
% 55.04/55.65 [1568]~P62(x15681)+~P9(x15681,x15684,x15683)+~P10(x15681,x15682,f3(x15681))+P9(x15681,f54(f54(f11(x15681),x15682),x15683),f54(f54(f11(x15681),x15682),x15684))
% 55.04/55.65 [1569]~P72(x15691)+~P9(x15691,x15694,x15693)+~P9(x15691,x15692,f3(x15691))+P9(x15691,f54(f54(f11(x15691),x15692),x15693),f54(f54(f11(x15691),x15692),x15694))
% 55.04/55.65 [1570]~P72(x15701)+~P9(x15701,x15704,x15702)+~P9(x15701,x15703,f3(x15701))+P9(x15701,f54(f54(f11(x15701),x15702),x15703),f54(f54(f11(x15701),x15704),x15703))
% 55.04/55.65 [1571]~P65(x15711)+~P10(x15711,x15713,x15714)+~P10(x15711,f3(x15711),x15712)+P10(x15711,f54(f54(f11(x15711),x15712),x15713),f54(f54(f11(x15711),x15712),x15714))
% 55.04/55.65 [1573]~P60(x15731)+~P10(x15731,x15733,x15734)+~P10(x15731,f3(x15731),x15732)+P10(x15731,f54(f54(f11(x15731),x15732),x15733),f54(f54(f11(x15731),x15732),x15734))
% 55.04/55.65 [1574]~P62(x15741)+~P10(x15741,x15742,x15744)+~P10(x15741,f3(x15741),x15743)+P10(x15741,f54(f54(f11(x15741),x15742),x15743),f54(f54(f11(x15741),x15744),x15743))
% 55.04/55.65 [1575]~P65(x15751)+~P10(x15751,x15752,x15754)+~P10(x15751,f3(x15751),x15753)+P10(x15751,f54(f54(f11(x15751),x15752),x15753),f54(f54(f11(x15751),x15754),x15753))
% 55.04/55.65 [1576]~P62(x15761)+~P10(x15761,x15763,x15764)+~P10(x15761,f3(x15761),x15762)+P10(x15761,f54(f54(f11(x15761),x15762),x15763),f54(f54(f11(x15761),x15762),x15764))
% 55.04/55.65 [1577]~P49(x15771)+~P9(x15771,x15772,x15774)+~P9(x15771,f3(x15771),x15772)+P9(x15771,f54(f54(f21(x15771),x15772),x15773),f54(f54(f21(x15771),x15774),x15773))
% 55.04/55.65 [1578]~P62(x15781)+~P9(x15781,x15783,x15784)+~P10(x15781,f3(x15781),x15782)+P9(x15781,f54(f54(f11(x15781),x15782),x15783),f54(f54(f11(x15781),x15782),x15784))
% 55.04/55.65 [1579]~P74(x15791)+~P9(x15791,x15793,x15794)+~P9(x15791,f3(x15791),x15792)+P9(x15791,f54(f54(f11(x15791),x15792),x15793),f54(f54(f11(x15791),x15792),x15794))
% 55.04/55.65 [1580]~P73(x15801)+~P9(x15801,x15803,x15804)+~P9(x15801,f3(x15801),x15802)+P9(x15801,f54(f54(f11(x15801),x15802),x15803),f54(f54(f11(x15801),x15802),x15804))
% 55.04/55.65 [1581]~P74(x15811)+~P9(x15811,x15812,x15814)+~P9(x15811,f3(x15811),x15813)+P9(x15811,f54(f54(f11(x15811),x15812),x15813),f54(f54(f11(x15811),x15814),x15813))
% 55.04/55.65 [1644]P10(x16441,x16443,x16442)+~P62(x16441)+P10(x16441,x16442,x16443)+~P10(x16441,f54(f54(f11(x16441),x16444),x16442),f54(f54(f11(x16441),x16444),x16443))
% 55.04/55.65 [1645]P10(x16451,x16453,x16452)+~P62(x16451)+P10(x16451,x16452,x16453)+~P10(x16451,f54(f54(f11(x16451),x16452),x16454),f54(f54(f11(x16451),x16453),x16454))
% 55.04/55.65 [1648]~P62(x16481)+P10(x16481,x16482,x16483)+P10(x16481,x16484,f3(x16481))+~P10(x16481,f54(f54(f11(x16481),x16482),x16484),f54(f54(f11(x16481),x16483),x16484))
% 55.04/55.65 [1649]~P62(x16491)+P10(x16491,x16492,x16493)+P10(x16491,x16494,f3(x16491))+~P10(x16491,f54(f54(f11(x16491),x16494),x16492),f54(f54(f11(x16491),x16494),x16493))
% 55.04/55.65 [1650]~P62(x16501)+P10(x16501,x16502,x16503)+P10(x16501,f3(x16501),x16504)+~P10(x16501,f54(f54(f11(x16501),x16504),x16503),f54(f54(f11(x16501),x16504),x16502))
% 55.04/55.65 [1651]~P62(x16511)+P10(x16511,x16512,x16513)+P10(x16511,f3(x16511),x16514)+~P10(x16511,f54(f54(f11(x16511),x16513),x16514),f54(f54(f11(x16511),x16512),x16514))
% 55.04/55.65 [1662]~P62(x16621)+P10(x16621,f3(x16621),x16622)+P10(x16621,x16622,f3(x16621))+~P10(x16621,f54(f54(f11(x16621),x16623),x16622),f54(f54(f11(x16621),x16624),x16622))
% 55.04/55.65 [1663]~P62(x16631)+P10(x16631,f3(x16631),x16632)+P10(x16631,x16632,f3(x16631))+~P10(x16631,f54(f54(f11(x16631),x16632),x16633),f54(f54(f11(x16631),x16632),x16634))
% 55.04/55.65 [1674]~P49(x16743)+P10(a69,x16741,x16742)+~P10(x16743,f4(x16743),x16744)+~P10(x16743,f54(f54(f21(x16743),x16744),x16741),f54(f54(f21(x16743),x16744),x16742))
% 55.04/55.65 [1676]~P49(x16763)+P9(a69,x16761,x16762)+~P10(x16763,f4(x16763),x16764)+~P9(x16763,f54(f54(f21(x16763),x16764),x16761),f54(f54(f21(x16763),x16764),x16762))
% 55.04/55.65 [1677]~P62(x16771)+P10(x16771,x16772,x16773)+~P10(x16771,x16774,f3(x16771))+~P10(x16771,f54(f54(f11(x16771),x16774),x16773),f54(f54(f11(x16771),x16774),x16772))
% 55.04/55.65 [1678]~P62(x16781)+P9(x16781,x16782,x16783)+~P10(x16781,x16784,f3(x16781))+~P9(x16781,f54(f54(f11(x16781),x16784),x16783),f54(f54(f11(x16781),x16784),x16782))
% 55.04/55.65 [1679]~P65(x16791)+P10(x16791,x16792,x16793)+~P9(x16791,f3(x16791),x16794)+~P10(x16791,f54(f54(f11(x16791),x16794),x16792),f54(f54(f11(x16791),x16794),x16793))
% 55.04/55.65 [1680]~P66(x16801)+P10(x16801,x16802,x16803)+~P9(x16801,f3(x16801),x16804)+~P10(x16801,f54(f54(f11(x16801),x16804),x16802),f54(f54(f11(x16801),x16804),x16803))
% 55.04/55.65 [1681]~P62(x16811)+P10(x16811,x16812,x16813)+~P10(x16811,f3(x16811),x16814)+~P10(x16811,f54(f54(f11(x16811),x16814),x16812),f54(f54(f11(x16811),x16814),x16813))
% 55.04/55.65 [1682]~P49(x16821)+P10(x16821,x16822,x16823)+~P9(x16821,f3(x16821),x16823)+~P10(x16821,f54(f54(f21(x16821),x16822),x16824),f54(f54(f21(x16821),x16823),x16824))
% 55.04/55.65 [1683]~P65(x16831)+P10(x16831,x16832,x16833)+~P9(x16831,f3(x16831),x16834)+~P10(x16831,f54(f54(f11(x16831),x16832),x16834),f54(f54(f11(x16831),x16833),x16834))
% 55.04/55.65 [1684]~P66(x16841)+P10(x16841,x16842,x16843)+~P9(x16841,f3(x16841),x16844)+~P10(x16841,f54(f54(f11(x16841),x16842),x16844),f54(f54(f11(x16841),x16843),x16844))
% 55.04/55.65 [1685]~P65(x16851)+P9(x16851,x16852,x16853)+~P10(x16851,f3(x16851),x16854)+~P9(x16851,f54(f54(f11(x16851),x16854),x16852),f54(f54(f11(x16851),x16854),x16853))
% 55.04/55.65 [1686]~P62(x16861)+P9(x16861,x16862,x16863)+~P10(x16861,f3(x16861),x16864)+~P9(x16861,f54(f54(f11(x16861),x16864),x16862),f54(f54(f11(x16861),x16864),x16863))
% 55.04/55.65 [1687]~P65(x16871)+P9(x16871,x16872,x16873)+~P10(x16871,f3(x16871),x16874)+~P9(x16871,f54(f54(f11(x16871),x16872),x16874),f54(f54(f11(x16871),x16873),x16874))
% 55.04/55.65 [1736]~P10(a1,f3(a1),x17364)+~P10(a1,f3(a1),x17362)+P10(a1,f54(f54(f11(a1),x17361),f26(a1,x17362)),f54(f54(f11(a1),x17363),f26(a1,x17364)))+~P10(a1,f54(f54(f11(a1),x17364),x17361),f54(f54(f11(a1),x17362),x17363))
% 55.04/55.65 [1745]~P10(a1,f3(a1),x17453)+~P10(a1,f3(a1),x17451)+~P10(a1,f54(f54(f11(a1),x17453),x17452),f54(f54(f11(a1),x17451),x17454))+P10(a1,f54(f54(f11(a1),f26(a1,x17451)),x17452),f54(f54(f11(a1),f26(a1,x17453)),x17454))
% 55.04/55.65 [1698]~P78(x16983)+~P59(x16983)+P82(f54(x16981,f64(x16982,x16981,x16983)))+~P82(f54(x16981,f54(f54(f11(x16983),x16982),x16984)))
% 55.04/55.65 [1729]~P78(x17291)+~P59(x17291)+P13(x17291,x17292,f12(x17291,f64(x17292,x17293,x17291),f3(x17291)))+~P82(f54(x17293,f54(f54(f11(x17291),x17292),x17294)))
% 55.04/55.65 [1778]~P10(a1,f3(a1),x17784)+~P10(a1,f28(a2,f9(a2,x17782,x17783)),f62(x17781,x17783,x17784))+~P10(a1,f3(a1),f28(a2,f9(a2,x17782,x17783)))+P10(a1,f28(a2,f9(a2,f54(f15(a2,x17781),x17782),f54(f15(a2,x17781),x17783))),x17784)
% 55.04/55.65 [1125]~P16(x11255)+E(x11251,x11252)+~E(x11253,x11254)+~E(f9(x11255,x11253,x11254),f9(x11255,x11251,x11252))
% 55.04/55.65 [1375]~P32(x13751)+~P10(x13751,x13754,x13755)+P10(x13751,x13752,x13753)+~E(f9(x13751,x13754,x13755),f9(x13751,x13752,x13753))
% 55.04/55.65 [1377]~P32(x13771)+~P9(x13771,x13774,x13775)+P9(x13771,x13772,x13773)+~E(f9(x13771,x13774,x13775),f9(x13771,x13772,x13773))
% 55.04/55.65 [1558]~P35(x15581)+~P10(x15581,x15583,x15585)+~P10(x15581,x15582,x15584)+P10(x15581,f12(x15581,x15582,x15583),f12(x15581,x15584,x15585))
% 55.04/55.65 [1559]~P35(x15591)+~P10(x15591,x15593,x15595)+~P9(x15591,x15592,x15594)+P10(x15591,f12(x15591,x15592,x15593),f12(x15591,x15594,x15595))
% 55.04/55.65 [1560]~P35(x15601)+~P10(x15601,x15602,x15604)+~P9(x15601,x15603,x15605)+P10(x15601,f12(x15601,x15602,x15603),f12(x15601,x15604,x15605))
% 55.04/55.65 [1561]~P34(x15611)+~P9(x15611,x15613,x15615)+~P9(x15611,x15612,x15614)+P9(x15611,f12(x15611,x15612,x15613),f12(x15611,x15614,x15615))
% 55.04/55.65 [1712]~P1(x17121)+~P10(a1,f28(x17121,x17123),x17125)+~P10(a1,f28(x17121,x17122),x17124)+P10(a1,f28(x17121,f12(x17121,x17122,x17123)),f12(a1,x17124,x17125))
% 55.04/55.65 [1718]~P50(x17181)+~P10(x17181,f8(x17181,x17182),x17184)+~P10(x17181,f8(x17181,x17183),x17185)+P10(x17181,f54(f54(f11(x17181),f8(x17181,x17182)),f8(x17181,x17183)),f54(f54(f11(x17181),x17184),x17185))
% 55.04/55.65 [1699]~P3(x16991)+~P10(a1,f28(x16991,x16993),x16995)+~P10(a1,f28(x16991,x16992),x16994)+P10(a1,f28(x16991,f54(f54(f11(x16991),x16992),x16993)),f54(f54(f11(a1),x16994),x16995))
% 55.04/55.65 [1734]~P81(x17345)+E(x17341,x17342)+E(x17343,x17344)+~E(f12(x17345,f54(f54(f11(x17345),x17343),x17341),f54(f54(f11(x17345),x17344),x17342)),f12(x17345,f54(f54(f11(x17345),x17343),x17342),f54(f54(f11(x17345),x17344),x17341)))
% 55.04/55.65 [1761]~E(f28(a2,x17611),f4(a1))+P10(a1,f28(a2,f9(a2,x17611,a6)),f4(a1))+P10(a1,f28(a2,f12(a2,x17611,a6)),f4(a1))+P10(a1,f28(a2,f12(a2,x17611,f4(a2))),f4(a1))+P10(a1,f28(a2,f9(a2,x17611,f4(a2))),f4(a1))
% 55.04/55.65 [765]~P56(x7653)+E(x7651,x7652)+~E(f26(x7653,x7651),f26(x7653,x7652))+E(x7652,f3(x7653))+E(x7651,f3(x7653))
% 55.04/55.65 [1345]~P36(x13452)+~P9(x13452,f3(x13452),x13453)+~P9(x13452,f3(x13452),x13451)+~E(f12(x13452,x13453,x13451),f3(x13452))+E(x13451,f3(x13452))
% 55.04/55.65 [1346]~P36(x13462)+~P9(x13462,f3(x13462),x13463)+~P9(x13462,f3(x13462),x13461)+~E(f12(x13462,x13461,x13463),f3(x13462))+E(x13461,f3(x13462))
% 55.04/55.65 [1583]~P50(x15831)+~P9(x15831,x15832,f4(x15831))+~P9(x15831,f3(x15831),x15832)+~P9(x15831,f3(x15831),x15833)+P9(x15831,f54(f54(f11(x15831),x15832),x15833),x15833)
% 55.04/55.65 [1584]~P50(x15841)+~P9(x15841,x15843,f4(x15841))+~P9(x15841,f3(x15841),x15843)+~P9(x15841,f3(x15841),x15842)+P9(x15841,f54(f54(f11(x15841),x15842),x15843),x15842)
% 55.04/55.65 [1664]~P49(x16641)+~P10(x16641,x16642,x16644)+~P9(x16641,f3(x16641),x16642)+~P10(a69,f3(a69),x16643)+P10(x16641,f54(f54(f21(x16641),x16642),x16643),f54(f54(f21(x16641),x16644),x16643))
% 55.04/55.65 [1665]~P49(x16651)+~P10(a69,x16654,x16653)+~P10(x16651,x16652,f4(x16651))+~P10(x16651,f3(x16651),x16652)+P10(x16651,f54(f54(f21(x16651),x16652),x16653),f54(f54(f21(x16651),x16652),x16654))
% 55.04/55.65 [1666]~P49(x16661)+~P9(a69,x16664,x16663)+~P9(x16661,x16662,f4(x16661))+~P9(x16661,f3(x16661),x16662)+P9(x16661,f54(f54(f21(x16661),x16662),x16663),f54(f54(f21(x16661),x16662),x16664))
% 55.04/55.65 [1746]~P78(x17462)+~P59(x17462)+~P13(x17462,x17463,f12(x17462,x17464,f3(x17462)))+~P82(f54(x17461,x17464))+P82(f54(x17461,f54(f54(f11(x17462),x17463),f65(x17463,x17461,x17462))))
% 55.04/55.65 [1751]~P1(x17514)+~P41(x17511)+~P9(x17511,x17512,x17515)+P9(x17511,x17512,f51(x17513,x17512,x17511,x17514))+P10(a1,f28(x17514,f54(x17513,x17515)),f12(a1,f4(a1),f28(x17514,f54(x17513,x17512))))
% 55.04/55.65 [1766]P9(a70,x17661,x17662)+~P10(a70,x17663,x17664)+~P10(a70,x17663,x17665)+~P9(a70,x17664,f3(a70))+~P9(a70,f12(a70,f54(f54(f11(a70),x17663),x17662),x17665),f12(a70,f54(f54(f11(a70),x17663),x17661),x17664))
% 55.04/55.65 [1767]P9(a70,x17671,x17672)+~P10(a70,x17673,x17674)+~P10(a70,x17675,x17674)+~P9(a70,f3(a70),x17675)+~P9(a70,f12(a70,f54(f54(f11(a70),x17674),x17671),x17675),f12(a70,f54(f54(f11(a70),x17674),x17672),x17673))
% 55.04/55.65 [1807]~P1(x18071)+~P9(x18075,x18074,x18073)+~P41(x18075)+P10(a1,f28(x18071,f54(x18072,x18073)),f12(a1,f4(a1),f28(x18071,f54(x18072,x18074))))+~P10(a1,f28(x18071,f9(x18071,f54(x18072,x18074),f54(x18072,f51(x18072,x18074,x18075,x18071)))),f4(a1))
% 55.04/55.65 [1634]~P81(x16344)+E(x16341,x16342)+~E(x16345,x16346)+E(x16343,f3(x16344))+~E(f12(x16344,x16345,f54(f54(f11(x16344),x16343),x16341)),f12(x16344,x16346,f54(f54(f11(x16344),x16343),x16342)))
% 55.04/55.65 [1758]~P53(x17581)+~P59(x17581)+~P13(x17581,x17582,x17585)+~P13(x17581,x17582,f12(x17581,x17583,x17586))+P13(x17581,x17582,f12(x17581,f9(x17581,x17583,f54(f54(f11(x17581),x17584),x17585)),x17586))
% 55.04/55.65 [1773]~P53(x17731)+~P59(x17731)+~P13(x17731,x17732,x17735)+P13(x17731,x17732,f12(x17731,x17733,x17734))+~P13(x17731,x17732,f12(x17731,f9(x17731,x17733,f54(f54(f11(x17731),x17736),x17735)),x17734))
% 55.04/55.65 [1320]~P36(x13201)+~P9(x13201,f3(x13201),x13203)+~P9(x13201,f3(x13201),x13202)+~E(x13203,f3(x13201))+~E(x13202,f3(x13201))+E(f12(x13201,x13202,x13203),f3(x13201))
% 55.04/55.65 [976]~P28(x9762)+~P64(x9762)+~P69(x9762)+~P77(x9762)+E(x9761,f3(x9762))+~E(f54(f54(f21(x9762),x9761),x9763),f3(x9762))
% 55.04/55.65 [977]~P28(x9772)+~P64(x9772)+~P69(x9772)+~P77(x9772)+~E(x9771,f3(a69))+~E(f54(f54(f21(x9772),x9773),x9771),f3(x9772))
% 55.04/55.65 [1590]~P49(x15903)+E(x15901,x15902)+~P9(x15903,f3(x15903),x15902)+~P9(x15903,f3(x15903),x15901)+~P10(a69,f3(a69),x15904)+~E(f54(f54(f21(x15903),x15901),x15904),f54(f54(f21(x15903),x15902),x15904))
% 55.04/55.65 [1700]~P65(x17001)+~P10(x17001,x17003,x17005)+~P10(x17001,x17002,x17004)+~P10(x17001,f3(x17001),x17004)+~P9(x17001,f3(x17001),x17003)+P10(x17001,f54(f54(f11(x17001),x17002),x17003),f54(f54(f11(x17001),x17004),x17005))
% 55.04/55.65 [1701]~P65(x17011)+~P10(x17011,x17013,x17015)+~P10(x17011,x17012,x17014)+~P9(x17011,f3(x17011),x17013)+~P9(x17011,f3(x17011),x17012)+P10(x17011,f54(f54(f11(x17011),x17012),x17013),f54(f54(f11(x17011),x17014),x17015))
% 55.04/55.65 [1702]~P65(x17021)+~P10(x17021,x17023,x17025)+~P9(x17021,x17022,x17024)+~P10(x17021,f3(x17021),x17022)+~P9(x17021,f3(x17021),x17023)+P10(x17021,f54(f54(f11(x17021),x17022),x17023),f54(f54(f11(x17021),x17024),x17025))
% 55.04/55.65 [1703]~P65(x17031)+~P10(x17031,x17032,x17034)+~P9(x17031,x17033,x17035)+~P10(x17031,f3(x17031),x17033)+~P9(x17031,f3(x17031),x17032)+P10(x17031,f54(f54(f11(x17031),x17032),x17033),f54(f54(f11(x17031),x17034),x17035))
% 55.04/55.65 [1704]~P74(x17041)+~P9(x17041,x17043,x17045)+~P9(x17041,x17042,x17044)+~P9(x17041,f3(x17041),x17043)+~P9(x17041,f3(x17041),x17044)+P9(x17041,f54(f54(f11(x17041),x17042),x17043),f54(f54(f11(x17041),x17044),x17045))
% 55.04/55.65 [1705]~P74(x17051)+~P9(x17051,x17053,x17055)+~P9(x17051,x17052,x17054)+~P9(x17051,f3(x17051),x17053)+~P9(x17051,f3(x17051),x17052)+P9(x17051,f54(f54(f11(x17051),x17052),x17053),f54(f54(f11(x17051),x17054),x17055))
% 55.04/55.65 [902]~P28(x9022)+~P64(x9022)+~P69(x9022)+~P77(x9022)+~E(x9023,f3(x9022))+E(x9021,f3(a69))+E(f54(f54(f21(x9022),x9023),x9021),f3(x9022))
% 55.04/55.65 [1747]~P68(x17471)+~P10(x17471,x17475,x17476)+~P10(x17471,x17473,x17476)+~P9(x17471,f3(x17471),x17474)+~P9(x17471,f3(x17471),x17472)+~E(f12(x17471,x17472,x17474),f4(x17471))+P10(x17471,f12(x17471,f54(f54(f11(x17471),x17472),x17473),f54(f54(f11(x17471),x17474),x17475)),x17476)
% 55.04/55.65 [1748]~P67(x17481)+~P9(x17481,x17485,x17486)+~P9(x17481,x17483,x17486)+~P9(x17481,f3(x17481),x17484)+~P9(x17481,f3(x17481),x17482)+~E(f12(x17481,x17482,x17484),f4(x17481))+P9(x17481,f12(x17481,f54(f54(f11(x17481),x17482),x17483),f54(f54(f11(x17481),x17484),x17485)),x17486)
% 55.04/55.65 [1770]~P10(a70,x17706,x17705)+~P9(a70,x17705,x17703)+P9(a70,x17701,x17702)+~P10(a70,f3(a70),x17705)+~P9(a70,f3(a70),x17704)+~P9(a70,f3(a70),f12(a70,f54(f54(f11(a70),x17705),x17702),x17706))+~E(f12(a70,f54(f54(f11(a70),x17703),x17701),x17704),f12(a70,f54(f54(f11(a70),x17705),x17702),x17706))
% 55.04/55.65 [1771]~P10(a70,x17714,x17713)+~P9(a70,x17715,x17713)+P9(a70,x17711,x17712)+~P10(a70,f3(a70),x17715)+~P9(a70,f3(a70),x17716)+~P10(a70,f12(a70,f54(f54(f11(a70),x17715),x17711),x17716),f3(a70))+~E(f12(a70,f54(f54(f11(a70),x17713),x17712),x17714),f12(a70,f54(f54(f11(a70),x17715),x17711),x17716))
% 55.04/55.65 %EqnAxiom
% 55.04/55.65 [1]E(x11,x11)
% 55.04/55.65 [2]E(x22,x21)+~E(x21,x22)
% 55.04/55.65 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 55.04/55.65 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 55.04/55.65 [5]~E(x51,x52)+E(f14(x51),f14(x52))
% 55.04/55.65 [6]~E(x61,x62)+E(f4(x61),f4(x62))
% 55.04/55.65 [7]~E(x71,x72)+E(f54(x71,x73),f54(x72,x73))
% 55.04/55.65 [8]~E(x81,x82)+E(f54(x83,x81),f54(x83,x82))
% 55.04/55.65 [9]~E(x91,x92)+E(f11(x91),f11(x92))
% 55.04/55.65 [10]~E(x101,x102)+E(f20(x101,x103,x104),f20(x102,x103,x104))
% 55.04/55.65 [11]~E(x111,x112)+E(f20(x113,x111,x114),f20(x113,x112,x114))
% 55.04/55.65 [12]~E(x121,x122)+E(f20(x123,x124,x121),f20(x123,x124,x122))
% 55.04/55.65 [13]~E(x131,x132)+E(f28(x131,x133),f28(x132,x133))
% 55.04/55.65 [14]~E(x141,x142)+E(f28(x143,x141),f28(x143,x142))
% 55.04/55.65 [15]~E(x151,x152)+E(f25(x151),f25(x152))
% 55.04/55.65 [16]~E(x161,x162)+E(f9(x161,x163,x164),f9(x162,x163,x164))
% 55.04/55.65 [17]~E(x171,x172)+E(f9(x173,x171,x174),f9(x173,x172,x174))
% 55.04/55.65 [18]~E(x181,x182)+E(f9(x183,x184,x181),f9(x183,x184,x182))
% 55.04/55.65 [19]~E(x191,x192)+E(f21(x191),f21(x192))
% 55.04/55.65 [20]~E(x201,x202)+E(f27(x201,x203),f27(x202,x203))
% 55.04/55.65 [21]~E(x211,x212)+E(f27(x213,x211),f27(x213,x212))
% 55.04/55.65 [22]~E(x221,x222)+E(f24(x221,x223,x224),f24(x222,x223,x224))
% 55.04/55.65 [23]~E(x231,x232)+E(f24(x233,x231,x234),f24(x233,x232,x234))
% 55.04/55.65 [24]~E(x241,x242)+E(f24(x243,x244,x241),f24(x243,x244,x242))
% 55.04/55.65 [25]~E(x251,x252)+E(f8(x251,x253),f8(x252,x253))
% 55.04/55.65 [26]~E(x261,x262)+E(f8(x263,x261),f8(x263,x262))
% 55.04/55.65 [27]~E(x271,x272)+E(f10(x271,x273),f10(x272,x273))
% 55.04/55.65 [28]~E(x281,x282)+E(f10(x283,x281),f10(x283,x282))
% 55.04/55.65 [29]~E(x291,x292)+E(f51(x291,x293,x294,x295),f51(x292,x293,x294,x295))
% 55.04/55.65 [30]~E(x301,x302)+E(f51(x303,x301,x304,x305),f51(x303,x302,x304,x305))
% 55.04/55.65 [31]~E(x311,x312)+E(f51(x313,x314,x311,x315),f51(x313,x314,x312,x315))
% 55.04/55.65 [32]~E(x321,x322)+E(f51(x323,x324,x325,x321),f51(x323,x324,x325,x322))
% 55.04/55.65 [33]~E(x331,x332)+E(f23(x331,x333,x334),f23(x332,x333,x334))
% 55.04/55.65 [34]~E(x341,x342)+E(f23(x343,x341,x344),f23(x343,x342,x344))
% 55.04/55.65 [35]~E(x351,x352)+E(f23(x353,x354,x351),f23(x353,x354,x352))
% 55.04/55.65 [36]~E(x361,x362)+E(f26(x361,x363),f26(x362,x363))
% 55.04/55.65 [37]~E(x371,x372)+E(f26(x373,x371),f26(x373,x372))
% 55.04/55.65 [38]~E(x381,x382)+E(f12(x381,x383,x384),f12(x382,x383,x384))
% 55.04/55.65 [39]~E(x391,x392)+E(f12(x393,x391,x394),f12(x393,x392,x394))
% 55.04/55.65 [40]~E(x401,x402)+E(f12(x403,x404,x401),f12(x403,x404,x402))
% 55.04/55.65 [41]~E(x411,x412)+E(f18(x411,x413,x414),f18(x412,x413,x414))
% 55.04/55.65 [42]~E(x421,x422)+E(f18(x423,x421,x424),f18(x423,x422,x424))
% 55.04/55.65 [43]~E(x431,x432)+E(f18(x433,x434,x431),f18(x433,x434,x432))
% 55.04/55.65 [44]~E(x441,x442)+E(f15(x441,x443),f15(x442,x443))
% 55.04/55.65 [45]~E(x451,x452)+E(f15(x453,x451),f15(x453,x452))
% 55.04/55.65 [46]~E(x461,x462)+E(f58(x461,x463),f58(x462,x463))
% 55.04/55.65 [47]~E(x471,x472)+E(f58(x473,x471),f58(x473,x472))
% 55.04/55.65 [48]~E(x481,x482)+E(f72(x481),f72(x482))
% 55.04/55.65 [49]~E(x491,x492)+E(f49(x491),f49(x492))
% 55.04/55.65 [50]~E(x501,x502)+E(f29(x501,x503),f29(x502,x503))
% 55.04/55.65 [51]~E(x511,x512)+E(f29(x513,x511),f29(x513,x512))
% 55.04/55.65 [52]~E(x521,x522)+E(f5(x521,x523),f5(x522,x523))
% 55.04/55.65 [53]~E(x531,x532)+E(f5(x533,x531),f5(x533,x532))
% 55.04/55.65 [54]~E(x541,x542)+E(f50(x541),f50(x542))
% 55.04/55.65 [55]~E(x551,x552)+E(f19(x551,x553,x554),f19(x552,x553,x554))
% 55.04/55.65 [56]~E(x561,x562)+E(f19(x563,x561,x564),f19(x563,x562,x564))
% 55.04/55.65 [57]~E(x571,x572)+E(f19(x573,x574,x571),f19(x573,x574,x572))
% 55.04/55.65 [58]~E(x581,x582)+E(f52(x581,x583),f52(x582,x583))
% 55.04/55.65 [59]~E(x591,x592)+E(f52(x593,x591),f52(x593,x592))
% 55.04/55.65 [60]~E(x601,x602)+E(f16(x601,x603,x604),f16(x602,x603,x604))
% 55.04/55.65 [61]~E(x611,x612)+E(f16(x613,x611,x614),f16(x613,x612,x614))
% 55.04/55.65 [62]~E(x621,x622)+E(f16(x623,x624,x621),f16(x623,x624,x622))
% 55.04/55.65 [63]~E(x631,x632)+E(f13(x631,x633),f13(x632,x633))
% 55.04/55.65 [64]~E(x641,x642)+E(f13(x643,x641),f13(x643,x642))
% 55.04/55.65 [65]~E(x651,x652)+E(f77(x651,x653),f77(x652,x653))
% 55.04/55.65 [66]~E(x661,x662)+E(f77(x663,x661),f77(x663,x662))
% 55.04/55.65 [67]~E(x671,x672)+E(f7(x671,x673,x674),f7(x672,x673,x674))
% 55.04/55.65 [68]~E(x681,x682)+E(f7(x683,x681,x684),f7(x683,x682,x684))
% 55.04/55.65 [69]~E(x691,x692)+E(f7(x693,x694,x691),f7(x693,x694,x692))
% 55.04/55.65 [70]~E(x701,x702)+E(f66(x701),f66(x702))
% 55.04/55.65 [71]~E(x711,x712)+E(f60(x711,x713),f60(x712,x713))
% 55.04/55.65 [72]~E(x721,x722)+E(f60(x723,x721),f60(x723,x722))
% 55.04/55.65 [73]~E(x731,x732)+E(f17(x731,x733),f17(x732,x733))
% 55.04/55.65 [74]~E(x741,x742)+E(f17(x743,x741),f17(x743,x742))
% 55.04/55.65 [75]~E(x751,x752)+E(f61(x751),f61(x752))
% 55.04/55.65 [76]~E(x761,x762)+E(f59(x761),f59(x762))
% 55.04/55.65 [77]~E(x771,x772)+E(f39(x771,x773,x774),f39(x772,x773,x774))
% 55.04/55.65 [78]~E(x781,x782)+E(f39(x783,x781,x784),f39(x783,x782,x784))
% 55.04/55.65 [79]~E(x791,x792)+E(f39(x793,x794,x791),f39(x793,x794,x792))
% 55.04/55.65 [80]~E(x801,x802)+E(f64(x801,x803,x804),f64(x802,x803,x804))
% 55.04/55.65 [81]~E(x811,x812)+E(f64(x813,x811,x814),f64(x813,x812,x814))
% 55.04/55.65 [82]~E(x821,x822)+E(f64(x823,x824,x821),f64(x823,x824,x822))
% 55.04/55.65 [83]~E(x831,x832)+E(f22(x831,x833,x834),f22(x832,x833,x834))
% 55.04/55.65 [84]~E(x841,x842)+E(f22(x843,x841,x844),f22(x843,x842,x844))
% 55.04/55.65 [85]~E(x851,x852)+E(f22(x853,x854,x851),f22(x853,x854,x852))
% 55.04/55.65 [86]~E(x861,x862)+E(f67(x861,x863),f67(x862,x863))
% 55.04/55.65 [87]~E(x871,x872)+E(f67(x873,x871),f67(x873,x872))
% 55.04/55.65 [88]~E(x881,x882)+E(f38(x881,x883,x884),f38(x882,x883,x884))
% 55.04/55.65 [89]~E(x891,x892)+E(f38(x893,x891,x894),f38(x893,x892,x894))
% 55.04/55.65 [90]~E(x901,x902)+E(f38(x903,x904,x901),f38(x903,x904,x902))
% 55.04/55.65 [91]~E(x911,x912)+E(f62(x911,x913,x914),f62(x912,x913,x914))
% 55.04/55.65 [92]~E(x921,x922)+E(f62(x923,x921,x924),f62(x923,x922,x924))
% 55.04/55.65 [93]~E(x931,x932)+E(f62(x933,x934,x931),f62(x933,x934,x932))
% 55.04/55.65 [94]~E(x941,x942)+E(f57(x941),f57(x942))
% 55.04/55.65 [95]~E(x951,x952)+E(f53(x951,x953),f53(x952,x953))
% 55.04/55.65 [96]~E(x961,x962)+E(f53(x963,x961),f53(x963,x962))
% 55.04/55.65 [97]~E(x971,x972)+E(f47(x971,x973,x974,x975),f47(x972,x973,x974,x975))
% 55.04/55.65 [98]~E(x981,x982)+E(f47(x983,x981,x984,x985),f47(x983,x982,x984,x985))
% 55.04/55.65 [99]~E(x991,x992)+E(f47(x993,x994,x991,x995),f47(x993,x994,x992,x995))
% 55.04/55.65 [100]~E(x1001,x1002)+E(f47(x1003,x1004,x1005,x1001),f47(x1003,x1004,x1005,x1002))
% 55.04/55.65 [101]~E(x1011,x1012)+E(f44(x1011,x1013),f44(x1012,x1013))
% 55.04/55.65 [102]~E(x1021,x1022)+E(f44(x1023,x1021),f44(x1023,x1022))
% 55.04/55.65 [103]~E(x1031,x1032)+E(f31(x1031),f31(x1032))
% 55.04/55.65 [104]~E(x1041,x1042)+E(f63(x1041),f63(x1042))
% 55.04/55.65 [105]~E(x1051,x1052)+E(f43(x1051,x1053),f43(x1052,x1053))
% 55.04/55.65 [106]~E(x1061,x1062)+E(f43(x1063,x1061),f43(x1063,x1062))
% 55.04/55.65 [107]~E(x1071,x1072)+E(f68(x1071,x1073),f68(x1072,x1073))
% 55.04/55.65 [108]~E(x1081,x1082)+E(f68(x1083,x1081),f68(x1083,x1082))
% 55.04/55.65 [109]~E(x1091,x1092)+E(f42(x1091),f42(x1092))
% 55.04/55.65 [110]~E(x1101,x1102)+E(f65(x1101,x1103,x1104),f65(x1102,x1103,x1104))
% 55.04/55.65 [111]~E(x1111,x1112)+E(f65(x1113,x1111,x1114),f65(x1113,x1112,x1114))
% 55.04/55.65 [112]~E(x1121,x1122)+E(f65(x1123,x1124,x1121),f65(x1123,x1124,x1122))
% 55.04/55.65 [113]~P1(x1131)+P1(x1132)+~E(x1131,x1132)
% 55.04/55.65 [114]P10(x1142,x1143,x1144)+~E(x1141,x1142)+~P10(x1141,x1143,x1144)
% 55.04/55.65 [115]P10(x1153,x1152,x1154)+~E(x1151,x1152)+~P10(x1153,x1151,x1154)
% 55.04/55.65 [116]P10(x1163,x1164,x1162)+~E(x1161,x1162)+~P10(x1163,x1164,x1161)
% 55.04/55.65 [117]~P49(x1171)+P49(x1172)+~E(x1171,x1172)
% 55.04/55.65 [118]P9(x1182,x1183,x1184)+~E(x1181,x1182)+~P9(x1181,x1183,x1184)
% 55.04/55.65 [119]P9(x1193,x1192,x1194)+~E(x1191,x1192)+~P9(x1193,x1191,x1194)
% 55.04/55.65 [120]P9(x1203,x1204,x1202)+~E(x1201,x1202)+~P9(x1203,x1204,x1201)
% 55.04/55.65 [121]~P62(x1211)+P62(x1212)+~E(x1211,x1212)
% 55.04/55.65 [122]~P2(x1221)+P2(x1222)+~E(x1221,x1222)
% 55.04/55.65 [123]~P43(x1231)+P43(x1232)+~E(x1231,x1232)
% 55.04/55.65 [124]~P3(x1241)+P3(x1242)+~E(x1241,x1242)
% 55.04/55.65 [125]~P53(x1251)+P53(x1252)+~E(x1251,x1252)
% 55.04/55.65 [126]~P4(x1261)+P4(x1262)+~E(x1261,x1262)
% 55.04/55.65 [127]~P32(x1271)+P32(x1272)+~E(x1271,x1272)
% 55.04/55.65 [128]~P65(x1281)+P65(x1282)+~E(x1281,x1282)
% 55.04/55.65 [129]~P15(x1291)+P15(x1292)+~E(x1291,x1292)
% 55.04/55.65 [130]~P28(x1301)+P28(x1302)+~E(x1301,x1302)
% 55.04/55.65 [131]~P58(x1311)+P58(x1312)+~E(x1311,x1312)
% 55.04/55.65 [132]P13(x1322,x1323,x1324)+~E(x1321,x1322)+~P13(x1321,x1323,x1324)
% 55.04/55.65 [133]P13(x1333,x1332,x1334)+~E(x1331,x1332)+~P13(x1333,x1331,x1334)
% 55.04/55.65 [134]P13(x1343,x1344,x1342)+~E(x1341,x1342)+~P13(x1343,x1344,x1341)
% 55.04/55.65 [135]~P45(x1351)+P45(x1352)+~E(x1351,x1352)
% 55.04/55.65 [136]~P46(x1361)+P46(x1362)+~E(x1361,x1362)
% 55.04/55.65 [137]~P57(x1371)+P57(x1372)+~E(x1371,x1372)
% 55.04/55.65 [138]~P63(x1381)+P63(x1382)+~E(x1381,x1382)
% 55.04/55.65 [139]~P33(x1391)+P33(x1392)+~E(x1391,x1392)
% 55.04/55.65 [140]~P82(x1401)+P82(x1402)+~E(x1401,x1402)
% 55.04/55.65 [141]~P64(x1411)+P64(x1412)+~E(x1411,x1412)
% 55.04/55.65 [142]~P30(x1421)+P30(x1422)+~E(x1421,x1422)
% 55.04/55.65 [143]~P42(x1431)+P42(x1432)+~E(x1431,x1432)
% 55.04/55.65 [144]~P72(x1441)+P72(x1442)+~E(x1441,x1442)
% 55.04/55.65 [145]~P69(x1451)+P69(x1452)+~E(x1451,x1452)
% 55.04/55.65 [146]~P6(x1461)+P6(x1462)+~E(x1461,x1462)
% 55.04/55.65 [147]~P16(x1471)+P16(x1472)+~E(x1471,x1472)
% 55.04/55.65 [148]~P26(x1481)+P26(x1482)+~E(x1481,x1482)
% 55.04/55.65 [149]~P77(x1491)+P77(x1492)+~E(x1491,x1492)
% 55.04/55.65 [150]~P78(x1501)+P78(x1502)+~E(x1501,x1502)
% 55.04/55.65 [151]P12(x1512,x1513)+~E(x1511,x1512)+~P12(x1511,x1513)
% 55.04/55.65 [152]P12(x1523,x1522)+~E(x1521,x1522)+~P12(x1523,x1521)
% 55.04/55.65 [153]~P47(x1531)+P47(x1532)+~E(x1531,x1532)
% 55.04/55.65 [154]~P5(x1541)+P5(x1542)+~E(x1541,x1542)
% 55.04/55.65 [155]~P55(x1551)+P55(x1552)+~E(x1551,x1552)
% 55.04/55.65 [156]P14(x1562,x1563)+~E(x1561,x1562)+~P14(x1561,x1563)
% 55.04/55.65 [157]P14(x1573,x1572)+~E(x1571,x1572)+~P14(x1573,x1571)
% 55.04/55.65 [158]~P48(x1581)+P48(x1582)+~E(x1581,x1582)
% 55.04/55.65 [159]~P35(x1591)+P35(x1592)+~E(x1591,x1592)
% 55.04/55.65 [160]~P40(x1601)+P40(x1602)+~E(x1601,x1602)
% 55.04/55.65 [161]~P70(x1611)+P70(x1612)+~E(x1611,x1612)
% 55.04/55.65 [162]~P8(x1621)+P8(x1622)+~E(x1621,x1622)
% 55.04/55.65 [163]~P50(x1631)+P50(x1632)+~E(x1631,x1632)
% 55.04/55.65 [164]~P75(x1641)+P75(x1642)+~E(x1641,x1642)
% 55.04/55.65 [165]~P56(x1651)+P56(x1652)+~E(x1651,x1652)
% 55.04/55.65 [166]~P60(x1661)+P60(x1662)+~E(x1661,x1662)
% 55.04/55.65 [167]~P38(x1671)+P38(x1672)+~E(x1671,x1672)
% 55.04/55.65 [168]~P39(x1681)+P39(x1682)+~E(x1681,x1682)
% 55.04/55.65 [169]~P54(x1691)+P54(x1692)+~E(x1691,x1692)
% 55.04/55.65 [170]~P66(x1701)+P66(x1702)+~E(x1701,x1702)
% 55.04/55.65 [171]~P29(x1711)+P29(x1712)+~E(x1711,x1712)
% 55.04/55.65 [172]~P73(x1721)+P73(x1722)+~E(x1721,x1722)
% 55.04/55.65 [173]~P24(x1731)+P24(x1732)+~E(x1731,x1732)
% 55.04/55.65 [174]~P27(x1741)+P27(x1742)+~E(x1741,x1742)
% 55.04/55.65 [175]~P61(x1751)+P61(x1752)+~E(x1751,x1752)
% 55.04/55.65 [176]~P51(x1761)+P51(x1762)+~E(x1761,x1762)
% 55.04/55.65 [177]~P44(x1771)+P44(x1772)+~E(x1771,x1772)
% 55.04/55.65 [178]~P34(x1781)+P34(x1782)+~E(x1781,x1782)
% 55.04/55.65 [179]P11(x1792,x1793,x1794)+~E(x1791,x1792)+~P11(x1791,x1793,x1794)
% 55.04/55.65 [180]P11(x1803,x1802,x1804)+~E(x1801,x1802)+~P11(x1803,x1801,x1804)
% 55.04/55.65 [181]P11(x1813,x1814,x1812)+~E(x1811,x1812)+~P11(x1813,x1814,x1811)
% 55.04/55.65 [182]~P17(x1821)+P17(x1822)+~E(x1821,x1822)
% 55.04/55.65 [183]~P59(x1831)+P59(x1832)+~E(x1831,x1832)
% 55.04/55.65 [184]~P52(x1841)+P52(x1842)+~E(x1841,x1842)
% 55.04/55.65 [185]~P71(x1851)+P71(x1852)+~E(x1851,x1852)
% 55.04/55.65 [186]~P36(x1861)+P36(x1862)+~E(x1861,x1862)
% 55.04/55.65 [187]~P41(x1871)+P41(x1872)+~E(x1871,x1872)
% 55.04/55.65 [188]~P79(x1881)+P79(x1882)+~E(x1881,x1882)
% 55.04/55.65 [189]~P22(x1891)+P22(x1892)+~E(x1891,x1892)
% 55.04/55.65 [190]~P21(x1901)+P21(x1902)+~E(x1901,x1902)
% 55.04/55.65 [191]~P76(x1911)+P76(x1912)+~E(x1911,x1912)
% 55.04/55.65 [192]~P67(x1921)+P67(x1922)+~E(x1921,x1922)
% 55.04/55.65 [193]~P31(x1931)+P31(x1932)+~E(x1931,x1932)
% 55.04/55.65 [194]~P25(x1941)+P25(x1942)+~E(x1941,x1942)
% 55.04/55.65 [195]~P80(x1951)+P80(x1952)+~E(x1951,x1952)
% 55.04/55.65 [196]~P20(x1961)+P20(x1962)+~E(x1961,x1962)
% 55.04/55.65 [197]~P68(x1971)+P68(x1972)+~E(x1971,x1972)
% 55.04/55.65 [198]~P81(x1981)+P81(x1982)+~E(x1981,x1982)
% 55.04/55.65 [199]~P18(x1991)+P18(x1992)+~E(x1991,x1992)
% 55.04/55.65 [200]~P23(x2001)+P23(x2002)+~E(x2001,x2002)
% 55.04/55.65 [201]~P74(x2011)+P74(x2012)+~E(x2011,x2012)
% 55.04/55.65 [202]~P37(x2021)+P37(x2022)+~E(x2021,x2022)
% 55.04/55.65 [203]~P19(x2031)+P19(x2032)+~E(x2031,x2032)
% 55.04/55.65 [204]~P7(x2041)+P7(x2042)+~E(x2041,x2042)
% 55.04/55.65
% 55.04/55.65 %-------------------------------------------
% 55.21/55.73 cnf(1808,plain,
% 55.21/55.73 (E(f5(a2,a73),f5(a2,a32))),
% 55.21/55.73 inference(scs_inference,[],[437,2])).
% 55.21/55.73 cnf(1809,plain,
% 55.21/55.73 (~P10(a1,f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74))),
% 55.21/55.73 inference(scs_inference,[],[607,437,2,992])).
% 55.21/55.73 cnf(1811,plain,
% 55.21/55.73 (P9(a1,f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))))),
% 55.21/55.73 inference(scs_inference,[],[607,437,2,992,925])).
% 55.21/55.73 cnf(1813,plain,
% 55.21/55.73 (~P10(a1,x18131,x18131)),
% 55.21/55.73 inference(scs_inference,[],[607,392,437,2,992,925,884])).
% 55.21/55.73 cnf(1819,plain,
% 55.21/55.73 (~E(f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74))),
% 55.21/55.73 inference(scs_inference,[],[607,392,453,437,472,2,992,925,884,852,846,741])).
% 55.21/55.73 cnf(1823,plain,
% 55.21/55.73 (P10(a70,x18231,f12(a70,x18231,f4(a70)))),
% 55.21/55.73 inference(scs_inference,[],[607,449,392,453,437,472,427,2,992,925,884,852,846,741,864,1365])).
% 55.21/55.73 cnf(1824,plain,
% 55.21/55.73 (P9(a70,x18241,x18241)),
% 55.21/55.73 inference(rename_variables,[],[449])).
% 55.21/55.73 cnf(1826,plain,
% 55.21/55.73 (P10(a70,f9(a70,x18261,f4(a70)),x18261)),
% 55.21/55.73 inference(scs_inference,[],[607,449,1824,392,453,437,472,427,2,992,925,884,852,846,741,864,1365,1363])).
% 55.21/55.73 cnf(1827,plain,
% 55.21/55.73 (P9(a70,x18271,x18271)),
% 55.21/55.73 inference(rename_variables,[],[449])).
% 55.21/55.73 cnf(1829,plain,
% 55.21/55.73 (P9(a69,x18291,f12(a69,x18292,f12(a69,x18291,x18293)))),
% 55.21/55.73 inference(scs_inference,[],[607,449,1824,392,453,437,472,427,495,2,992,925,884,852,846,741,864,1365,1363,1352])).
% 55.21/55.73 cnf(1830,plain,
% 55.21/55.73 (P9(a69,x18301,f12(a69,x18302,x18301))),
% 55.21/55.73 inference(rename_variables,[],[495])).
% 55.21/55.73 cnf(1833,plain,
% 55.21/55.73 (P9(a69,x18331,f12(a69,x18332,x18331))),
% 55.21/55.73 inference(rename_variables,[],[495])).
% 55.21/55.73 cnf(1837,plain,
% 55.21/55.73 (~P10(a69,x18371,f9(a69,x18371,x18372))),
% 55.21/55.73 inference(scs_inference,[],[607,449,1824,590,392,453,437,472,504,427,495,1830,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259])).
% 55.21/55.73 cnf(1838,plain,
% 55.21/55.73 (~P10(a69,x18381,x18381)),
% 55.21/55.73 inference(rename_variables,[],[590])).
% 55.21/55.73 cnf(1841,plain,
% 55.21/55.73 (~P10(a69,f12(a69,x18411,x18412),x18412)),
% 55.21/55.73 inference(rename_variables,[],[600])).
% 55.21/55.73 cnf(1844,plain,
% 55.21/55.73 (~P10(a69,f12(a69,x18441,x18442),x18442)),
% 55.21/55.73 inference(rename_variables,[],[600])).
% 55.21/55.73 cnf(1846,plain,
% 55.21/55.73 (P9(a1,x18461,f8(a1,x18461))),
% 55.21/55.73 inference(scs_inference,[],[607,447,449,1824,590,392,453,437,472,504,427,495,1830,600,1841,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078])).
% 55.21/55.73 cnf(1847,plain,
% 55.21/55.73 (P9(a1,x18471,x18471)),
% 55.21/55.73 inference(rename_variables,[],[447])).
% 55.21/55.73 cnf(1854,plain,
% 55.21/55.73 (~P10(a1,f12(a1,f8(a1,x18541),f4(a1)),x18541)),
% 55.21/55.73 inference(rename_variables,[],[603])).
% 55.21/55.73 cnf(1861,plain,
% 55.21/55.73 (P10(a69,x18611,f14(f12(a1,f27(a69,x18611),f4(a1))))),
% 55.21/55.73 inference(scs_inference,[],[607,447,449,1824,590,392,453,455,437,472,504,427,554,606,495,1830,600,1841,480,603,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520])).
% 55.21/55.73 cnf(1862,plain,
% 55.21/55.73 (P9(a1,x18621,f27(a69,f14(x18621)))),
% 55.21/55.73 inference(rename_variables,[],[480])).
% 55.21/55.73 cnf(1865,plain,
% 55.21/55.73 (P10(a1,x18651,f12(a1,f27(a69,f25(x18651)),f4(a1)))),
% 55.21/55.73 inference(rename_variables,[],[515])).
% 55.21/55.73 cnf(1868,plain,
% 55.21/55.73 (P9(a69,x18681,x18681)),
% 55.21/55.73 inference(rename_variables,[],[448])).
% 55.21/55.73 cnf(1873,plain,
% 55.21/55.73 (P9(a1,x18731,f27(a69,f14(x18731)))),
% 55.21/55.73 inference(rename_variables,[],[480])).
% 55.21/55.73 cnf(1878,plain,
% 55.21/55.73 (P9(a1,x18781,x18781)),
% 55.21/55.73 inference(rename_variables,[],[447])).
% 55.21/55.73 cnf(1880,plain,
% 55.21/55.73 (P9(a69,x18801,f25(f27(a69,f14(f27(a69,x18801)))))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,448,449,1824,590,392,453,455,437,472,504,427,554,606,495,1830,600,1841,480,1862,1873,603,515,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088])).
% 55.21/55.73 cnf(1881,plain,
% 55.21/55.73 (P9(a1,x18811,f27(a69,f14(x18811)))),
% 55.21/55.73 inference(rename_variables,[],[480])).
% 55.21/55.73 cnf(1884,plain,
% 55.21/55.73 (E(f9(a69,f12(a69,x18841,x18842),x18842),x18841)),
% 55.21/55.73 inference(rename_variables,[],[498])).
% 55.21/55.73 cnf(1890,plain,
% 55.21/55.73 (~P10(a1,f4(a1),f10(a1,f8(a1,f3(a1))))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,448,449,1824,590,392,453,455,437,472,504,427,554,606,495,1830,600,1841,480,1862,1873,498,603,1854,515,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325])).
% 55.21/55.73 cnf(1891,plain,
% 55.21/55.73 (~P10(a1,f12(a1,f8(a1,x18911),f4(a1)),x18911)),
% 55.21/55.73 inference(rename_variables,[],[603])).
% 55.21/55.73 cnf(1893,plain,
% 55.21/55.73 (P10(a1,f10(a1,f27(a69,f25(f3(a1)))),f4(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,448,449,1824,590,392,453,455,437,472,504,427,554,606,495,1830,600,1841,480,1862,1873,498,603,1854,515,1865,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392])).
% 55.21/55.73 cnf(1894,plain,
% 55.21/55.73 (P10(a1,x18941,f12(a1,f27(a69,f25(x18941)),f4(a1)))),
% 55.21/55.73 inference(rename_variables,[],[515])).
% 55.21/55.73 cnf(1896,plain,
% 55.21/55.73 (~P10(a69,x18961,f9(a69,f12(a69,x18961,x18962),x18962))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,448,449,1824,590,1838,392,453,455,437,472,504,427,554,606,495,1830,600,1841,480,1862,1873,498,603,1854,515,1865,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499])).
% 55.21/55.73 cnf(1897,plain,
% 55.21/55.73 (~P10(a69,x18971,x18971)),
% 55.21/55.73 inference(rename_variables,[],[590])).
% 55.21/55.73 cnf(1899,plain,
% 55.21/55.73 (~P10(a69,f12(a69,f9(a69,x18991,x18992),x18992),x18991)),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,448,449,1824,590,1838,1897,392,453,455,437,472,504,427,554,606,495,1830,600,1841,480,1862,1873,498,603,1854,515,1865,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497])).
% 55.21/55.73 cnf(1900,plain,
% 55.21/55.73 (~P10(a69,x19001,x19001)),
% 55.21/55.73 inference(rename_variables,[],[590])).
% 55.21/55.73 cnf(1903,plain,
% 55.21/55.73 (P9(a69,x19031,x19031)),
% 55.21/55.73 inference(rename_variables,[],[448])).
% 55.21/55.73 cnf(1905,plain,
% 55.21/55.73 (P9(a1,x19051,x19051)),
% 55.21/55.73 inference(rename_variables,[],[447])).
% 55.21/55.73 cnf(1906,plain,
% 55.21/55.73 (~E(f4(a1),a81)),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,448,1868,449,1824,590,1838,1897,392,453,455,437,472,504,427,554,606,495,1830,600,1841,480,1862,1873,498,603,1854,515,1865,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116])).
% 55.21/55.73 cnf(1908,plain,
% 55.21/55.73 (~P10(a1,f12(a1,f8(a1,x19081),f4(a1)),x19081)),
% 55.21/55.73 inference(rename_variables,[],[603])).
% 55.21/55.73 cnf(1912,plain,
% 55.21/55.73 (~P9(a1,f4(a1),a81)),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,448,1868,449,1824,590,1838,1897,392,400,403,453,455,437,472,594,504,427,554,606,495,1830,600,1841,480,1862,1873,498,603,1854,1891,515,1865,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098])).
% 55.21/55.73 cnf(1914,plain,
% 55.21/55.73 (~P10(a69,f5(a2,a73),f12(a69,a78,f4(a69)))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,448,1868,449,1824,590,1838,1897,392,400,401,403,453,455,437,472,594,504,427,554,606,495,1830,600,1841,480,1862,1873,498,603,1854,1891,515,1865,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095])).
% 55.21/55.73 cnf(1916,plain,
% 55.21/55.73 (~P9(a69,f5(a2,a73),f12(a69,a78,f4(a69)))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,448,1868,449,1824,590,1838,1897,392,393,400,401,403,453,455,437,472,594,504,427,554,606,495,1830,600,1841,480,1862,1873,498,603,1854,1891,515,1865,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094])).
% 55.21/55.73 cnf(1918,plain,
% 55.21/55.73 (~P10(a70,f4(a70),f3(a70))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,448,1868,449,1824,590,1838,1897,392,393,394,400,401,403,453,455,437,472,594,504,427,554,606,495,1830,600,1841,480,1862,1873,498,603,1854,1891,515,1865,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093])).
% 55.21/55.73 cnf(1920,plain,
% 55.21/55.73 (~P9(a70,f4(a70),f3(a70))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,448,1868,449,1824,590,1838,1897,392,393,394,400,401,403,453,455,437,472,474,586,594,504,427,554,606,495,1830,600,1841,480,1862,1873,498,603,1854,1891,515,1865,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075])).
% 55.21/55.73 cnf(1923,plain,
% 55.21/55.73 (P9(a69,f9(a69,x19231,x19232),x19231)),
% 55.21/55.73 inference(rename_variables,[],[497])).
% 55.21/55.73 cnf(1924,plain,
% 55.21/55.73 (P9(a69,f3(a69),x19241)),
% 55.21/55.73 inference(rename_variables,[],[463])).
% 55.21/55.73 cnf(1927,plain,
% 55.21/55.73 (P9(a69,f3(a69),x19271)),
% 55.21/55.73 inference(rename_variables,[],[463])).
% 55.21/55.73 cnf(1929,plain,
% 55.21/55.73 (P9(a69,f12(a69,a78,f4(a69)),f5(a2,a73))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,448,1868,449,1824,590,1838,1897,392,393,394,400,401,403,463,1924,453,455,437,472,474,586,594,504,427,554,606,495,1830,497,600,1841,480,1862,1873,498,603,1854,1891,515,1865,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956])).
% 55.21/55.73 cnf(1935,plain,
% 55.21/55.73 (~E(f5(a2,a73),f12(a69,a78,f4(a69)))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,448,1868,449,1824,590,1838,1897,392,393,394,400,401,403,404,463,1924,453,455,437,436,472,474,586,594,504,427,554,606,495,1830,497,600,1841,480,1862,1873,498,603,1854,1891,515,1865,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769])).
% 55.21/55.73 cnf(1939,plain,
% 55.21/55.73 (P9(a70,x19391,f8(a70,x19391))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,448,1868,449,1824,1827,590,1838,1897,345,392,393,394,400,401,403,404,463,1924,453,455,437,436,472,474,586,594,504,427,554,606,495,1830,497,600,1841,480,1862,1873,498,603,1854,1891,515,1865,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132])).
% 55.21/55.73 cnf(1940,plain,
% 55.21/55.73 (P9(a70,x19401,x19401)),
% 55.21/55.73 inference(rename_variables,[],[449])).
% 55.21/55.73 cnf(1942,plain,
% 55.21/55.73 (P10(a1,x19421,f12(a1,f27(a69,f25(f8(a1,x19421))),f4(a1)))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,448,1868,449,1824,1827,590,1838,1897,249,345,392,393,394,400,401,403,404,463,1924,453,455,437,436,472,474,586,594,504,427,554,606,495,1830,497,600,1841,480,1862,1873,498,603,1854,1891,515,1865,1894,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130])).
% 55.21/55.73 cnf(1943,plain,
% 55.21/55.73 (P10(a1,x19431,f12(a1,f27(a69,f25(x19431)),f4(a1)))),
% 55.21/55.73 inference(rename_variables,[],[515])).
% 55.21/55.73 cnf(1945,plain,
% 55.21/55.73 (~P10(a1,f3(a1),f27(a69,f25(f3(a1))))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,448,1868,449,1824,1827,590,1838,1897,1900,249,345,392,393,394,400,401,403,404,463,1924,453,455,437,436,472,474,586,594,504,427,554,606,495,1830,497,600,1841,480,1862,1873,498,603,1854,1891,515,1865,1894,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308])).
% 55.21/55.73 cnf(1946,plain,
% 55.21/55.73 (P9(a1,x19461,x19461)),
% 55.21/55.73 inference(rename_variables,[],[447])).
% 55.21/55.73 cnf(1947,plain,
% 55.21/55.73 (~P10(a69,x19471,x19471)),
% 55.21/55.73 inference(rename_variables,[],[590])).
% 55.21/55.73 cnf(1950,plain,
% 55.21/55.73 (P9(a1,x19501,x19501)),
% 55.21/55.73 inference(rename_variables,[],[447])).
% 55.21/55.73 cnf(1951,plain,
% 55.21/55.73 (P9(a69,x19511,x19511)),
% 55.21/55.73 inference(rename_variables,[],[448])).
% 55.21/55.73 cnf(1959,plain,
% 55.21/55.73 (P10(a69,x19591,f12(a69,x19591,f14(f12(a1,f27(a69,f3(a69)),f4(a1)))))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,448,1868,1903,449,1824,1827,590,1838,1897,1900,222,249,345,392,393,394,400,401,403,404,463,1924,453,455,437,436,472,474,585,586,594,504,427,432,554,606,495,1830,497,600,1841,480,1862,1873,498,467,603,1854,1891,515,1865,1894,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358])).
% 55.21/55.73 cnf(1960,plain,
% 55.21/55.73 (E(f12(a69,f3(a69),x19601),x19601)),
% 55.21/55.73 inference(rename_variables,[],[467])).
% 55.21/55.73 cnf(1963,plain,
% 55.21/55.73 (P9(a1,x19631,x19631)),
% 55.21/55.73 inference(rename_variables,[],[447])).
% 55.21/55.73 cnf(1967,plain,
% 55.21/55.73 (~P16(a69)),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,448,1868,1903,449,1824,1827,590,1838,1897,1900,222,249,345,351,392,393,394,400,401,403,404,463,1924,453,455,580,437,436,472,474,585,586,594,504,427,432,554,606,574,495,1830,497,600,1841,480,1862,1873,498,467,603,1854,1891,494,471,515,1865,1894,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916])).
% 55.21/55.73 cnf(1968,plain,
% 55.21/55.73 (E(f9(a69,f3(a69),x19681),f3(a69))),
% 55.21/55.73 inference(rename_variables,[],[471])).
% 55.21/55.73 cnf(1970,plain,
% 55.21/55.73 (~P24(a69)),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,448,1868,1903,449,1824,1827,590,1838,1897,1900,222,249,345,351,392,393,394,400,401,403,404,463,1924,453,455,580,437,436,472,474,585,586,594,504,427,432,554,606,574,495,1830,497,600,1841,480,1862,1873,498,467,603,1854,1891,494,471,1968,515,1865,1894,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915])).
% 55.21/55.73 cnf(1973,plain,
% 55.21/55.73 (~P10(a1,f3(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78)))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,448,1868,1903,449,1824,1827,590,1838,1897,1900,222,249,345,351,392,393,394,400,401,403,404,463,1924,453,455,580,437,436,472,474,585,586,594,504,427,432,555,554,606,574,495,1830,497,600,1841,480,1862,1873,498,467,603,1854,1891,494,471,1968,515,1865,1894,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510])).
% 55.21/55.73 cnf(1975,plain,
% 55.21/55.73 (~P10(a1,f10(a1,f27(a69,f25(f3(a1)))),f27(a69,f25(f3(a1))))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,448,1868,1903,449,1824,1827,590,1838,1897,1900,222,249,345,351,370,392,393,394,400,401,403,404,463,1924,453,455,580,437,436,472,474,585,586,594,504,427,432,555,554,606,574,495,1830,497,600,1841,480,1862,1873,498,467,603,1854,1891,494,471,1968,515,1865,1894,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158])).
% 55.21/55.73 cnf(1977,plain,
% 55.21/55.73 (~P9(a70,f4(a70),f10(a70,f4(a70)))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,448,1868,1903,449,1824,1827,590,1838,1897,1900,222,249,345,351,370,371,392,393,394,400,401,403,404,463,1924,453,455,580,437,436,472,474,585,586,594,504,427,432,555,554,606,574,495,1830,497,600,1841,480,1862,1873,498,467,603,1854,1891,494,471,1968,515,1865,1894,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157])).
% 55.21/55.73 cnf(1981,plain,
% 55.21/55.73 (~E(f12(a1,x19811,f4(a1)),x19811)),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,448,1868,1903,449,1824,1827,590,1838,1897,1900,222,249,345,351,370,371,388,392,393,394,400,401,403,404,463,1924,453,455,580,437,436,472,474,585,586,594,504,427,432,555,554,606,574,495,1830,497,600,1841,599,480,1862,1873,498,467,603,1854,1891,494,471,1968,515,1865,1894,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912])).
% 55.21/55.73 cnf(1983,plain,
% 55.21/55.73 (~E(f5(a1,f12(a1,f3(f72(a1)),f4(a1))),f3(a69))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,448,1868,1903,449,1824,1827,590,1838,1897,1900,222,249,308,345,351,370,371,388,392,393,394,400,401,403,404,463,1924,453,455,580,437,436,472,474,585,586,594,504,427,432,555,554,606,574,495,1830,497,600,1841,599,480,1862,1873,498,467,603,1854,1891,494,471,1968,515,1865,1894,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720])).
% 55.21/55.73 cnf(1986,plain,
% 55.21/55.73 (E(f14(f27(a69,x19861)),x19861)),
% 55.21/55.73 inference(rename_variables,[],[440])).
% 55.21/55.73 cnf(1990,plain,
% 55.21/55.73 (P10(a1,x19901,f27(a69,f25(f12(a1,x19901,f4(a1)))))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,448,1868,1903,449,1824,1827,590,1838,1897,1900,222,249,308,345,351,370,371,372,388,392,393,394,400,401,403,404,463,1924,453,455,580,437,436,472,474,585,586,594,504,427,432,555,554,606,574,495,1830,497,600,1841,599,440,480,1862,1873,498,467,603,1854,1891,494,471,1968,515,1865,1894,1943,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606])).
% 55.21/55.73 cnf(1991,plain,
% 55.21/55.73 (P10(a1,x19911,f12(a1,f27(a69,f25(x19911)),f4(a1)))),
% 55.21/55.73 inference(rename_variables,[],[515])).
% 55.21/55.73 cnf(1994,plain,
% 55.21/55.73 (~P10(a1,f12(a1,f8(a1,x19941),f4(a1)),x19941)),
% 55.21/55.73 inference(rename_variables,[],[603])).
% 55.21/55.73 cnf(1996,plain,
% 55.21/55.73 (~P32(a69)),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,448,1868,1903,449,1824,1827,590,1838,1897,1900,222,249,308,345,351,370,371,372,378,388,392,393,394,400,401,403,404,463,1924,593,453,455,580,437,436,472,474,585,586,594,504,427,432,555,554,606,574,495,1830,497,600,1841,599,440,480,1862,1873,498,467,603,1854,1891,1908,494,471,1968,515,1865,1894,1943,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295])).
% 55.21/55.73 cnf(1997,plain,
% 55.21/55.73 (~P10(a69,x19971,f3(a69))),
% 55.21/55.73 inference(rename_variables,[],[593])).
% 55.21/55.73 cnf(2001,plain,
% 55.21/55.73 (~P10(a1,x20011,f10(a1,f12(a1,f8(a1,f10(a1,x20011)),f4(a1))))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,448,1868,1903,449,1824,1827,590,1838,1897,1900,222,249,308,345,351,370,371,372,378,381,388,392,393,394,400,401,403,404,463,1924,593,453,455,580,437,436,472,474,585,586,594,504,427,432,555,554,606,574,495,1830,497,600,1841,599,440,480,1862,1873,498,467,603,1854,1891,1908,1994,494,471,1968,515,1865,1894,1943,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195])).
% 55.21/55.73 cnf(2002,plain,
% 55.21/55.73 (~P10(a1,f12(a1,f8(a1,x20021),f4(a1)),x20021)),
% 55.21/55.73 inference(rename_variables,[],[603])).
% 55.21/55.73 cnf(2006,plain,
% 55.21/55.73 (P13(a1,f12(a1,x20061,f10(a1,x20062)),f12(a1,x20062,f10(a1,x20061)))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,448,1868,1903,449,1824,1827,590,1838,1897,1900,222,249,308,345,351,370,371,372,378,381,388,392,393,394,400,401,403,404,463,1924,593,453,455,580,437,436,472,474,585,586,594,504,427,432,555,554,606,574,495,1830,497,600,1841,599,440,480,1862,1873,498,467,603,1854,1891,1908,1994,494,471,1968,515,1865,1894,1943,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921])).
% 55.21/55.73 cnf(2010,plain,
% 55.21/55.73 (~P9(a1,f4(a1),f26(a1,f27(a69,f25(f3(a1)))))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,448,1868,1903,449,1824,1827,590,1838,1897,1900,222,249,308,314,345,351,370,371,372,378,381,388,392,393,394,400,401,403,404,463,1924,593,453,455,580,437,436,472,474,585,586,594,504,427,432,555,554,606,574,495,1830,497,600,1841,599,440,480,1862,1873,498,467,603,1854,1891,1908,1994,494,471,1968,515,1865,1894,1943,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182])).
% 55.21/55.73 cnf(2022,plain,
% 55.21/55.73 (~P9(a70,f3(a70),f10(a70,f4(a70)))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,448,1868,1903,449,1824,1827,590,1838,1897,1900,222,249,308,314,345,351,370,371,372,378,381,382,388,392,393,394,400,401,403,404,463,1924,593,453,455,580,437,436,472,474,585,586,594,504,427,432,555,554,606,574,495,1830,497,600,1841,599,440,480,1862,1873,498,467,603,1854,1891,1908,1994,494,471,1968,515,1865,1894,1943,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174])).
% 55.21/55.73 cnf(2025,plain,
% 55.21/55.73 (~P10(a1,f12(a1,f8(a1,x20251),f4(a1)),x20251)),
% 55.21/55.73 inference(rename_variables,[],[603])).
% 55.21/55.73 cnf(2029,plain,
% 55.21/55.73 (~P10(a70,f3(a70),f8(a70,f10(a70,f3(a70))))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,448,1868,1903,449,1824,1827,590,1838,1897,1900,222,249,308,314,345,351,370,371,372,378,381,382,388,392,393,394,400,401,403,404,463,1924,593,453,455,580,437,436,472,474,585,586,594,504,427,431,432,555,554,606,574,495,1830,497,600,1841,599,440,480,1862,1873,498,467,603,1854,1891,1908,1994,2002,494,471,1968,515,1865,1894,1943,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057])).
% 55.21/55.73 cnf(2041,plain,
% 55.21/55.73 (~E(a73,f3(f72(a2)))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,448,1868,1903,449,1824,1827,590,1838,1897,1900,222,249,264,308,314,323,344,345,351,370,371,372,378,381,382,388,392,393,394,400,401,403,404,463,1924,593,453,455,580,437,436,472,474,585,586,594,504,587,427,431,432,555,554,606,574,495,1830,497,600,1841,599,440,480,1862,1873,498,467,603,1854,1891,1908,1994,2002,494,471,1968,515,1865,1894,1943,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787])).
% 55.21/55.73 cnf(2045,plain,
% 55.21/55.73 (~E(f26(a1,a81),f4(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,448,1868,1903,449,1824,1827,590,1838,1897,1900,222,249,258,264,308,314,318,323,344,345,351,370,371,372,378,381,382,388,392,393,394,400,401,403,404,463,1924,593,453,455,578,580,437,436,472,474,585,586,594,504,587,427,431,432,555,554,606,574,495,1830,497,600,1841,599,440,480,1862,1873,498,467,603,1854,1891,1908,1994,2002,494,471,1968,515,1865,1894,1943,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716])).
% 55.21/55.73 cnf(2053,plain,
% 55.21/55.73 (~E(f26(a1,f4(a1)),f3(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,448,1868,1903,449,1824,1827,590,1838,1897,1900,206,222,249,258,264,306,308,314,318,323,344,345,351,370,371,372,378,381,382,388,392,393,394,400,401,403,404,463,1924,593,453,455,578,580,437,436,472,474,585,586,594,504,587,427,431,432,555,554,606,574,495,1830,497,600,1841,599,440,480,1862,1873,498,467,603,1854,1891,1908,1994,2002,494,471,1968,515,1865,1894,1943,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712])).
% 55.21/55.73 cnf(2072,plain,
% 55.21/55.73 (~P10(a1,f12(a1,f8(a1,x20721),f4(a1)),x20721)),
% 55.21/55.73 inference(rename_variables,[],[603])).
% 55.21/55.73 cnf(2077,plain,
% 55.21/55.73 (E(f9(a69,f12(a69,x20771,x20772),x20772),x20771)),
% 55.21/55.73 inference(rename_variables,[],[498])).
% 55.21/55.73 cnf(2080,plain,
% 55.21/55.73 (~E(f12(a1,f4(a1),f4(a1)),f3(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,448,1868,1903,449,1824,1827,590,1838,1897,1900,206,222,249,257,258,264,303,306,308,314,318,323,344,345,351,370,371,372,378,381,382,388,392,393,394,400,401,403,404,463,1924,593,453,455,578,580,437,436,472,474,585,586,594,504,587,427,431,432,555,554,606,574,495,1830,497,600,1841,599,440,480,1862,1873,498,1884,467,603,1854,1891,1908,1994,2002,2025,494,500,471,1968,515,1865,1894,1943,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919])).
% 55.21/55.73 cnf(2082,plain,
% 55.21/55.73 (~E(f12(a2,a83,f3(a2)),f3(a2))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,448,1868,1903,449,1824,1827,590,1838,1897,1900,206,222,249,257,258,264,303,306,308,314,318,323,344,345,351,370,371,372,378,381,382,388,392,393,394,400,401,403,404,463,1924,593,453,455,578,580,437,436,472,474,585,586,594,504,587,427,431,432,555,554,606,574,495,1830,497,600,1841,599,440,480,1862,1873,498,1884,467,603,1854,1891,1908,1994,2002,2025,494,500,471,1968,515,1865,1894,1943,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948])).
% 55.21/55.73 cnf(2089,plain,
% 55.21/55.73 (~E(x20891,f10(a70,f12(a70,f4(a70),x20891)))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,448,1868,1903,449,1824,1827,590,1838,1897,1900,206,222,249,257,258,259,264,303,306,308,314,318,323,344,345,351,370,371,372,378,381,382,388,392,393,394,400,401,403,404,463,1924,593,453,455,578,580,437,436,472,474,585,586,594,504,587,427,431,432,555,554,606,574,495,1830,497,600,1841,599,440,480,1862,1873,498,1884,467,603,1854,1891,1908,1994,2002,2025,494,500,471,1968,515,1865,1894,1943,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862])).
% 55.21/55.73 cnf(2091,plain,
% 55.21/55.73 (P10(a1,f9(a1,x20911,f12(a1,f27(a69,f25(f8(a1,f9(a1,x20912,x20911)))),f4(a1))),x20912)),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,448,1868,1903,449,1824,1827,590,1838,1897,1900,206,222,249,257,258,259,264,303,306,308,314,318,323,344,345,351,370,371,372,378,381,382,388,392,393,394,400,401,403,404,463,1924,593,453,455,578,580,437,436,472,474,585,586,594,504,587,427,431,432,555,554,606,574,495,1830,497,600,1841,599,440,480,1862,1873,498,1884,467,603,1854,1891,1908,1994,2002,2025,494,500,471,1968,515,1865,1894,1943,1991,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709])).
% 55.21/55.73 cnf(2092,plain,
% 55.21/55.73 (P10(a1,x20921,f12(a1,f27(a69,f25(x20921)),f4(a1)))),
% 55.21/55.73 inference(rename_variables,[],[515])).
% 55.21/55.73 cnf(2094,plain,
% 55.21/55.73 (P10(a1,x20941,f12(a1,x20942,f12(a1,f27(a69,f25(f8(a1,f9(a1,x20941,x20942)))),f4(a1))))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,448,1868,1903,449,1824,1827,590,1838,1897,1900,206,222,249,257,258,259,264,303,306,308,314,318,323,344,345,351,370,371,372,378,381,382,388,392,393,394,400,401,403,404,463,1924,593,453,455,578,580,437,436,472,474,585,586,594,504,587,427,431,432,555,554,606,574,495,1830,497,600,1841,599,440,480,1862,1873,498,1884,467,603,1854,1891,1908,1994,2002,2025,494,500,471,1968,515,1865,1894,1943,1991,2092,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708])).
% 55.21/55.73 cnf(2095,plain,
% 55.21/55.73 (P10(a1,x20951,f12(a1,f27(a69,f25(x20951)),f4(a1)))),
% 55.21/55.73 inference(rename_variables,[],[515])).
% 55.21/55.73 cnf(2099,plain,
% 55.21/55.73 (~E(f12(f72(a1),f23(a1,x20991,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x20992,f12(a1,f3(f72(a1)),f4(a1)))),f3(f72(a1)))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,448,1868,1903,449,1824,1827,590,1838,1897,1900,206,222,249,257,258,259,264,303,306,308,314,318,323,344,345,351,370,371,372,378,381,382,388,392,393,394,400,401,403,404,463,1924,593,453,455,578,580,437,436,472,474,585,586,594,504,587,427,431,432,555,554,606,574,495,1830,497,600,1841,599,440,480,1862,1873,498,1884,467,603,1854,1891,1908,1994,2002,2025,494,500,471,1968,515,1865,1894,1943,1991,2092,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599])).
% 55.21/55.73 cnf(2103,plain,
% 55.21/55.73 (~P10(a69,f12(a69,f54(f54(f11(a69),f9(a69,x21031,x21031)),x21032),f12(a69,f12(a69,f54(f54(f11(a69),x21031),x21032),x21033),x21034)),x21033)),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,448,1868,1903,1951,449,1824,1827,590,1838,1897,1900,206,222,249,257,258,259,264,303,306,308,314,318,323,324,344,345,351,370,371,372,378,381,382,388,392,393,394,400,401,403,404,463,1924,593,453,455,578,580,437,436,472,474,585,586,594,504,587,427,431,432,555,554,606,574,495,1830,497,600,1841,599,440,480,1862,1873,498,1884,467,603,1854,1891,1908,1994,2002,2025,494,500,471,1968,515,1865,1894,1943,1991,2092,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793])).
% 55.21/55.73 cnf(2105,plain,
% 55.21/55.73 (~P10(a69,x21051,f12(a69,f54(f54(f11(a69),f9(a69,x21052,x21052)),x21053),x21051))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,448,1868,1903,1951,449,1824,1827,590,1838,1897,1900,1947,206,222,249,257,258,259,264,303,306,308,314,318,323,324,344,345,351,370,371,372,378,381,382,388,392,393,394,400,401,403,404,463,1924,593,453,455,578,580,437,436,472,474,585,586,594,504,587,427,431,432,555,554,606,574,495,1830,497,600,1841,599,440,480,1862,1873,498,1884,467,603,1854,1891,1908,1994,2002,2025,494,500,471,1968,515,1865,1894,1943,1991,2092,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791])).
% 55.21/55.73 cnf(2106,plain,
% 55.21/55.73 (~P10(a69,x21061,x21061)),
% 55.21/55.73 inference(rename_variables,[],[590])).
% 55.21/55.73 cnf(2108,plain,
% 55.21/55.73 (P9(a69,f12(a69,f54(f54(f11(a69),f9(a69,f3(a69),f3(a69))),x21081),x21082),x21082)),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,448,1868,1903,1951,449,1824,1827,590,1838,1897,1900,1947,206,222,249,257,258,259,264,303,306,308,314,318,323,324,344,345,351,370,371,372,378,381,382,388,392,393,394,400,401,403,404,463,1924,1927,593,453,455,578,580,437,436,472,474,585,586,594,504,587,427,431,432,555,554,606,574,495,1830,497,600,1841,599,440,480,1862,1873,498,1884,467,603,1854,1891,1908,1994,2002,2025,494,500,471,1968,515,1865,1894,1943,1991,2092,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785])).
% 55.21/55.73 cnf(2109,plain,
% 55.21/55.73 (P9(a69,x21091,x21091)),
% 55.21/55.73 inference(rename_variables,[],[448])).
% 55.21/55.73 cnf(2110,plain,
% 55.21/55.73 (P9(a69,f3(a69),x21101)),
% 55.21/55.73 inference(rename_variables,[],[463])).
% 55.21/55.73 cnf(2112,plain,
% 55.21/55.73 (P9(a69,x21121,f12(a69,f54(f54(f11(a69),f9(a69,x21122,x21122)),x21123),f12(a69,f12(a69,f54(f54(f11(a69),x21122),x21123),x21121),x21124)))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,448,1868,1903,1951,2109,449,1824,1827,590,1838,1897,1900,1947,206,222,249,257,258,259,264,303,306,308,314,318,323,324,344,345,351,370,371,372,378,381,382,388,392,393,394,400,401,403,404,463,1924,1927,593,453,455,578,580,437,436,472,474,585,586,594,504,587,427,431,432,555,554,606,574,495,1830,497,600,1841,599,440,480,1862,1873,498,1884,467,603,1854,1891,1908,1994,2002,2025,494,500,471,1968,515,1865,1894,1943,1991,2092,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783])).
% 55.21/55.73 cnf(2115,plain,
% 55.21/55.73 (E(f12(a69,x21151,x21152),f12(a69,x21152,x21151))),
% 55.21/55.73 inference(rename_variables,[],[484])).
% 55.21/55.73 cnf(2118,plain,
% 55.21/55.73 (E(f12(a69,x21181,x21182),f12(a69,x21182,x21181))),
% 55.21/55.73 inference(rename_variables,[],[484])).
% 55.21/55.73 cnf(2121,plain,
% 55.21/55.73 (P9(a1,x21211,x21211)),
% 55.21/55.73 inference(rename_variables,[],[447])).
% 55.21/55.73 cnf(2124,plain,
% 55.21/55.73 (~P10(a1,f12(a1,f8(a1,x21241),f4(a1)),x21241)),
% 55.21/55.73 inference(rename_variables,[],[603])).
% 55.21/55.73 cnf(2126,plain,
% 55.21/55.73 (~E(f12(a1,f54(f54(f11(a1),x21261),x21262),x21263),f12(a1,f54(f54(f11(a1),x21264),x21262),f10(a70,f12(a70,f4(a70),f12(a1,f54(f54(f11(a1),f9(a1,x21261,x21264)),x21262),x21263)))))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,448,1868,1903,1951,2109,449,1824,1827,590,1838,1897,1900,1947,206,222,249,257,258,259,260,264,291,303,306,308,314,318,323,324,344,345,351,370,371,372,378,381,382,388,392,393,394,396,400,401,403,404,463,1924,1927,593,453,455,578,580,437,436,472,474,585,586,594,504,587,427,431,432,555,554,606,574,495,1830,497,600,1841,484,2115,599,440,480,1862,1873,498,1884,467,603,1854,1891,1908,1994,2002,2025,2072,494,500,471,1968,515,1865,1894,1943,1991,2092,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754])).
% 55.21/55.73 cnf(2128,plain,
% 55.21/55.73 (~E(f12(a1,f54(f54(f11(a1),x21281),x21282),f12(a1,f54(f54(f11(a1),x21283),x21282),x21284)),f12(a1,f54(f54(f11(a1),x21285),x21282),f10(a70,f12(a70,f4(a70),f12(a1,f54(f54(f11(a1),f9(a1,x21283,f9(a1,x21285,x21281))),x21282),x21284)))))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,448,1868,1903,1951,2109,449,1824,1827,590,1838,1897,1900,1947,206,222,249,257,258,259,260,264,291,303,306,308,314,318,323,324,344,345,351,370,371,372,378,381,382,388,392,393,394,396,400,401,403,404,463,1924,1927,593,453,455,578,580,437,436,472,474,585,586,594,504,587,427,431,432,555,554,606,574,495,1830,497,600,1841,484,2115,599,440,480,1862,1873,498,1884,467,603,1854,1891,1908,1994,2002,2025,2072,494,500,471,1968,515,1865,1894,1943,1991,2092,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753])).
% 55.21/55.73 cnf(2130,plain,
% 55.21/55.73 (P9(a69,f12(a69,f54(f54(f11(a69),x21301),x21302),x21303),f12(a69,x21304,f12(a69,f54(f54(f11(a69),x21301),x21302),f12(a69,f12(a69,f54(f54(f11(a69),x21301),x21302),x21303),x21305))))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,448,1868,1903,1951,2109,449,1824,1827,590,1838,1897,1900,1947,206,222,249,257,258,259,260,264,291,303,306,308,314,318,323,324,344,345,351,370,371,372,378,381,382,388,392,393,394,396,400,401,403,404,463,1924,1927,593,453,455,578,580,437,436,472,474,585,586,594,504,587,427,431,432,555,554,606,574,495,1830,1833,497,600,1841,484,2115,599,440,480,1862,1873,498,1884,467,603,1854,1891,1908,1994,2002,2025,2072,494,500,471,1968,515,1865,1894,1943,1991,2092,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239])).
% 55.21/55.73 cnf(2131,plain,
% 55.21/55.73 (P9(a69,x21311,f12(a69,x21312,x21311))),
% 55.21/55.73 inference(rename_variables,[],[495])).
% 55.21/55.73 cnf(2133,plain,
% 55.21/55.73 (P10(a1,f3(a1),f4(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,448,1868,1903,1951,2109,449,1824,1827,590,1838,1897,1900,1947,206,222,249,257,258,259,260,264,291,303,306,308,314,318,323,324,344,345,351,370,371,372,378,381,382,388,392,393,394,396,400,401,403,404,463,1924,1927,593,453,455,578,580,437,436,472,474,585,586,594,504,587,427,431,432,555,554,606,574,495,1830,1833,497,600,1841,484,2115,599,440,480,1862,1873,498,1884,467,603,1854,1891,1908,1994,2002,2025,2072,494,500,471,1968,515,1865,1894,1943,1991,2092,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236])).
% 55.21/55.73 cnf(2136,plain,
% 55.21/55.73 (P10(a1,x21361,f12(a1,f27(a69,f25(x21361)),f4(a1)))),
% 55.21/55.73 inference(rename_variables,[],[515])).
% 55.21/55.73 cnf(2138,plain,
% 55.21/55.73 (~P9(a69,a78,f3(a69))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,448,1868,1903,1951,2109,449,1824,1827,590,1838,1897,1900,1947,206,222,249,257,258,259,260,264,291,303,306,308,314,318,323,324,344,345,351,370,371,372,378,381,382,388,392,393,394,396,400,401,403,404,463,1924,1927,2110,593,453,455,578,580,437,436,472,474,585,586,594,504,587,427,431,432,555,554,606,574,495,1830,1833,497,600,1841,484,2115,599,440,480,1862,1873,498,1884,467,603,1854,1891,1908,1994,2002,2025,2072,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114])).
% 55.21/55.73 cnf(2139,plain,
% 55.21/55.73 (P9(a69,f3(a69),x21391)),
% 55.21/55.73 inference(rename_variables,[],[463])).
% 55.21/55.73 cnf(2141,plain,
% 55.21/55.73 (P10(a1,f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,448,1868,1903,1951,2109,449,1824,1827,590,1838,1897,1900,1947,206,222,249,257,258,259,260,264,291,303,306,308,314,318,323,324,344,345,351,370,371,372,378,381,382,388,392,393,394,396,400,401,403,404,463,1924,1927,2110,593,453,455,578,580,437,436,472,474,585,586,594,504,587,427,431,432,555,554,606,574,495,1830,1833,497,600,1841,484,2115,599,440,480,1862,1873,498,1884,467,603,1854,1891,1908,1994,2002,2025,2072,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044])).
% 55.21/55.73 cnf(2143,plain,
% 55.21/55.73 (~P9(a69,f5(a1,f12(a1,f3(f72(a1)),f4(a1))),f3(a69))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,448,1868,1903,1951,2109,449,1824,1827,590,1838,1897,1900,1947,206,222,249,257,258,259,260,264,291,303,306,308,314,318,323,324,344,345,351,370,371,372,378,381,382,388,392,393,394,396,400,401,403,404,463,1924,1927,2110,593,1997,453,455,578,580,437,436,472,474,585,586,594,504,587,427,431,432,555,554,606,574,495,1830,1833,497,600,1841,484,2115,599,440,480,1862,1873,498,1884,467,603,1854,1891,1908,1994,2002,2025,2072,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038])).
% 55.21/55.73 cnf(2144,plain,
% 55.21/55.73 (~P10(a69,x21441,f3(a69))),
% 55.21/55.73 inference(rename_variables,[],[593])).
% 55.21/55.73 cnf(2146,plain,
% 55.21/55.73 (~P9(a69,a46,f3(a69))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,448,1868,1903,1951,2109,449,1824,1827,590,1838,1897,1900,1947,206,222,249,257,258,259,260,264,291,303,306,308,314,318,323,324,344,345,351,370,371,372,378,381,382,388,392,393,394,396,400,401,403,404,463,1924,1927,2110,593,1997,2144,453,455,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,555,554,606,574,495,1830,1833,497,600,1841,484,2115,599,440,480,1862,1873,498,1884,467,603,1854,1891,1908,1994,2002,2025,2072,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036])).
% 55.21/55.73 cnf(2147,plain,
% 55.21/55.73 (~P10(a69,x21471,f3(a69))),
% 55.21/55.73 inference(rename_variables,[],[593])).
% 55.21/55.73 cnf(2152,plain,
% 55.21/55.73 (E(f9(a69,f12(a69,x21521,x21522),x21522),x21521)),
% 55.21/55.73 inference(rename_variables,[],[498])).
% 55.21/55.73 cnf(2153,plain,
% 55.21/55.73 (P9(a69,f3(a69),x21531)),
% 55.21/55.73 inference(rename_variables,[],[463])).
% 55.21/55.73 cnf(2154,plain,
% 55.21/55.73 (P9(a69,x21541,x21541)),
% 55.21/55.73 inference(rename_variables,[],[448])).
% 55.21/55.73 cnf(2156,plain,
% 55.21/55.73 (~P9(a69,f5(a2,a73),f4(a69))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,448,1868,1903,1951,2109,449,1824,1827,590,1838,1897,1900,1947,206,222,249,257,258,259,260,264,291,303,306,308,314,318,323,324,344,345,351,370,371,372,378,381,382,384,388,392,393,394,396,400,401,403,404,463,1924,1927,2110,2139,2153,593,1997,2144,453,455,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,555,554,606,574,495,1830,1833,497,600,1841,484,2115,599,440,480,1862,1873,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430])).
% 55.21/55.73 cnf(2157,plain,
% 55.21/55.73 (P9(a69,f3(a69),x21571)),
% 55.21/55.73 inference(rename_variables,[],[463])).
% 55.21/55.73 cnf(2159,plain,
% 55.21/55.73 (~P9(a69,f5(a2,a73),a78)),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,448,1868,1903,1951,2109,449,1824,1827,590,1838,1897,1900,1947,206,222,249,257,258,259,260,264,291,303,306,308,314,318,323,324,344,345,351,370,371,372,378,381,382,384,388,392,393,394,396,400,401,403,404,463,1924,1927,2110,2139,2153,2157,593,1997,2144,453,455,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,555,554,606,574,495,1830,1833,497,600,1841,484,2115,599,440,480,1862,1873,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429])).
% 55.21/55.73 cnf(2160,plain,
% 55.21/55.73 (P9(a69,f3(a69),x21601)),
% 55.21/55.73 inference(rename_variables,[],[463])).
% 55.21/55.73 cnf(2162,plain,
% 55.21/55.73 (~P9(a69,f12(a69,f14(f12(a1,f27(a69,f3(a69)),f4(a1))),x21621),x21621)),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,448,1868,1903,1951,2109,449,1824,1827,590,1838,1897,1900,1947,2106,206,222,249,257,258,259,260,264,291,303,306,308,314,318,323,324,344,345,351,370,371,372,378,381,382,384,388,392,393,394,396,400,401,403,404,463,1924,1927,2110,2139,2153,2157,593,1997,2144,453,455,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,555,554,606,574,495,1830,1833,497,600,1841,484,2115,599,440,480,1862,1873,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428])).
% 55.21/55.73 cnf(2163,plain,
% 55.21/55.73 (~P10(a69,x21631,x21631)),
% 55.21/55.73 inference(rename_variables,[],[590])).
% 55.21/55.73 cnf(2165,plain,
% 55.21/55.73 (~P10(a1,f12(a1,f8(a1,f12(a1,f3(a1),x21651)),f4(a1)),x21651)),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,448,1868,1903,1951,2109,449,1824,1827,590,1838,1897,1900,1947,2106,206,222,249,257,258,259,260,264,291,303,306,308,314,318,323,324,344,345,351,370,371,372,378,381,382,383,384,388,392,393,394,396,400,401,403,404,463,1924,1927,2110,2139,2153,2157,593,1997,2144,453,455,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,555,554,606,574,495,1830,1833,497,600,1841,484,2115,599,440,480,1862,1873,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427])).
% 55.21/55.73 cnf(2166,plain,
% 55.21/55.73 (~P10(a1,f12(a1,f8(a1,x21661),f4(a1)),x21661)),
% 55.21/55.73 inference(rename_variables,[],[603])).
% 55.21/55.73 cnf(2167,plain,
% 55.21/55.73 (P9(a1,x21671,x21671)),
% 55.21/55.73 inference(rename_variables,[],[447])).
% 55.21/55.73 cnf(2170,plain,
% 55.21/55.73 (~P10(a1,f12(a1,f8(a1,x21701),f4(a1)),x21701)),
% 55.21/55.73 inference(rename_variables,[],[603])).
% 55.21/55.73 cnf(2174,plain,
% 55.21/55.73 (~P9(a69,f12(a69,f5(a2,a73),x21741),x21741)),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,448,1868,1903,1951,2109,449,1824,1827,590,1838,1897,1900,1947,2106,206,207,222,249,257,258,259,260,264,291,303,306,308,314,318,323,324,344,345,351,370,371,372,376,378,379,381,382,383,384,388,392,393,394,396,400,401,403,404,463,1924,1927,2110,2139,2153,2157,593,1997,2144,453,455,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,555,554,606,574,495,1830,1833,497,600,1841,1844,484,2115,599,440,480,1862,1873,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560])).
% 55.21/55.73 cnf(2175,plain,
% 55.21/55.73 (~P10(a69,f12(a69,x21751,x21752),x21752)),
% 55.21/55.73 inference(rename_variables,[],[600])).
% 55.21/55.73 cnf(2177,plain,
% 55.21/55.73 (~P9(a69,f12(a69,x21771,f5(a2,a73)),x21771)),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,448,1868,1903,1951,2109,449,1824,1827,590,1838,1897,1900,1947,2106,206,207,222,249,257,258,259,260,264,291,303,306,308,314,318,323,324,344,345,351,370,371,372,376,378,379,381,382,383,384,388,392,393,394,396,400,401,403,404,463,1924,1927,2110,2139,2153,2157,593,1997,2144,453,455,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,555,554,606,574,495,1830,1833,497,600,1841,1844,601,484,2115,599,440,480,1862,1873,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559])).
% 55.21/55.73 cnf(2178,plain,
% 55.21/55.73 (~P10(a69,f12(a69,x21781,x21782),x21781)),
% 55.21/55.73 inference(rename_variables,[],[601])).
% 55.21/55.73 cnf(2181,plain,
% 55.21/55.73 (~P10(a1,f12(a1,f8(a1,x21811),f4(a1)),x21811)),
% 55.21/55.73 inference(rename_variables,[],[603])).
% 55.21/55.73 cnf(2182,plain,
% 55.21/55.73 (P10(a1,x21821,f12(a1,f27(a69,f25(x21821)),f4(a1)))),
% 55.21/55.73 inference(rename_variables,[],[515])).
% 55.21/55.73 cnf(2185,plain,
% 55.21/55.73 (P9(a1,x21851,f27(a69,f14(x21851)))),
% 55.21/55.73 inference(rename_variables,[],[480])).
% 55.21/55.73 cnf(2186,plain,
% 55.21/55.73 (P9(a1,f3(a1),f27(a69,x21861))),
% 55.21/55.73 inference(rename_variables,[],[479])).
% 55.21/55.73 cnf(2188,plain,
% 55.21/55.73 (P10(a1,f54(f54(f11(a1),f54(f54(f11(a1),a81),f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74))),f26(a1,f54(f54(f21(a1),a81),a78))),f54(f54(f11(a1),f4(a1)),f26(a1,f54(f54(f21(a1),a81),a78))))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,448,1868,1903,1951,2109,449,1824,1827,590,1838,1897,1900,1947,2106,206,207,222,249,257,258,259,260,264,291,303,306,308,314,318,323,324,344,345,351,370,371,372,376,378,379,381,382,383,384,388,392,393,394,396,400,401,403,404,463,1924,1927,2110,2139,2153,2157,593,1997,2144,453,455,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,497,600,1841,1844,601,484,2115,479,599,440,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736])).
% 55.21/55.73 cnf(2191,plain,
% 55.21/55.73 (E(f14(f27(a69,x21911)),x21911)),
% 55.21/55.73 inference(rename_variables,[],[440])).
% 55.21/55.73 cnf(2194,plain,
% 55.21/55.73 (~P10(a1,f12(a1,f8(a1,x21941),f4(a1)),x21941)),
% 55.21/55.73 inference(rename_variables,[],[603])).
% 55.21/55.73 cnf(2200,plain,
% 55.21/55.73 (~P9(a1,f3(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78)))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,448,1868,1903,1951,2109,449,1824,1827,590,1838,1897,1900,1947,2106,206,207,222,249,257,258,259,260,264,286,291,296,303,306,308,314,318,320,323,324,344,345,351,370,371,372,376,378,379,381,382,383,384,388,392,393,394,396,400,401,403,404,463,1924,1927,2110,2139,2153,2157,593,1997,2144,453,455,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,497,600,1841,1844,601,484,2115,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580])).
% 55.21/55.73 cnf(2202,plain,
% 55.21/55.73 (~P9(a69,f5(a2,a73),f3(a69))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,206,207,222,249,257,258,259,260,264,286,291,296,303,306,308,314,318,320,323,324,344,345,351,370,371,372,376,378,379,381,382,383,384,388,392,393,394,396,400,401,403,404,463,1924,1927,2110,2139,2153,2157,593,1997,2144,453,455,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,497,600,1841,1844,601,484,2115,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473])).
% 55.21/55.73 cnf(2203,plain,
% 55.21/55.73 (P9(a69,x22031,x22031)),
% 55.21/55.73 inference(rename_variables,[],[448])).
% 55.21/55.73 cnf(2206,plain,
% 55.21/55.73 (P9(a1,x22061,x22061)),
% 55.21/55.73 inference(rename_variables,[],[447])).
% 55.21/55.73 cnf(2210,plain,
% 55.21/55.73 (P10(a1,f4(a1),f26(a1,a55))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,206,207,222,249,257,258,259,260,264,286,291,296,303,306,308,314,318,320,323,324,344,345,351,370,371,372,376,378,379,381,382,383,384,388,392,393,394,396,400,401,403,404,463,1924,1927,2110,2139,2153,2157,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,497,600,1841,1844,601,484,2115,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328])).
% 55.21/55.73 cnf(2214,plain,
% 55.21/55.73 (P10(a1,f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78)),f3(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,206,207,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,318,320,323,324,344,345,351,370,371,372,376,378,379,381,382,383,384,388,392,393,394,396,400,401,403,404,463,1924,1927,2110,2139,2153,2157,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,497,600,1841,1844,601,484,2115,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663])).
% 55.21/55.73 cnf(2217,plain,
% 55.21/55.73 (E(f12(a69,x22171,x22172),f12(a69,x22172,x22171))),
% 55.21/55.73 inference(rename_variables,[],[484])).
% 55.21/55.73 cnf(2220,plain,
% 55.21/55.73 (P9(a69,f3(a69),x22201)),
% 55.21/55.73 inference(rename_variables,[],[463])).
% 55.21/55.73 cnf(2228,plain,
% 55.21/55.73 (P9(a69,f4(a69),f5(a2,a73))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,206,207,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,318,320,323,324,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,396,400,401,403,404,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,497,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926])).
% 55.21/55.73 cnf(2232,plain,
% 55.21/55.73 (P13(a1,x22321,x22321)),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,206,207,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,318,320,323,324,331,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,396,400,401,403,404,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,497,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761])).
% 55.21/55.73 cnf(2240,plain,
% 55.21/55.73 (P10(a70,f3(a70),f8(a70,f4(a70)))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,206,207,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,318,320,323,324,331,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,497,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022])).
% 55.21/55.73 cnf(2242,plain,
% 55.21/55.73 (P10(a69,f3(a69),f5(a1,f12(a1,f3(f72(a1)),f4(a1))))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,206,207,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,318,320,323,324,331,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,497,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750])).
% 55.21/55.73 cnf(2244,plain,
% 55.21/55.73 (~P10(a70,f4(a70),f12(a70,f3(a70),f4(a70)))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,206,207,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,318,320,323,324,331,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,497,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364])).
% 55.21/55.73 cnf(2250,plain,
% 55.21/55.73 (P10(a70,f3(a70),f12(a70,f4(a70),f4(a70)))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,206,207,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,318,320,323,324,331,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,497,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274])).
% 55.21/55.73 cnf(2264,plain,
% 55.21/55.73 (P13(a1,x22641,f3(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,318,320,323,324,331,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777])).
% 55.21/55.73 cnf(2266,plain,
% 55.21/55.73 (E(f54(f54(f21(a1),x22661),f4(a69)),x22661)),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,318,320,323,324,331,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764])).
% 55.21/55.73 cnf(2282,plain,
% 55.21/55.73 (P40(f77(x22821,a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,318,320,323,324,331,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701])).
% 55.21/55.73 cnf(2286,plain,
% 55.21/55.73 (P59(f72(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,318,320,323,324,331,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667])).
% 55.21/55.73 cnf(2294,plain,
% 55.21/55.73 (P45(f72(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,331,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663])).
% 55.21/55.73 cnf(2300,plain,
% 55.21/55.73 (P40(f72(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,331,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660])).
% 55.21/55.73 cnf(2308,plain,
% 55.21/55.73 (P32(f72(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,331,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656])).
% 55.21/55.73 cnf(2310,plain,
% 55.21/55.73 (P35(f72(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,331,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655])).
% 55.21/55.73 cnf(2314,plain,
% 55.21/55.73 (P33(f72(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,331,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653])).
% 55.21/55.73 cnf(2316,plain,
% 55.21/55.73 (P26(f72(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,331,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652])).
% 55.21/55.73 cnf(2330,plain,
% 55.21/55.73 (P30(f72(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645])).
% 55.21/55.73 cnf(2332,plain,
% 55.21/55.73 (P54(f72(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644])).
% 55.21/55.73 cnf(2334,plain,
% 55.21/55.73 (P53(f72(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643])).
% 55.21/55.73 cnf(2338,plain,
% 55.21/55.73 (P58(f72(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641])).
% 55.21/55.73 cnf(2346,plain,
% 55.21/55.73 (P75(f72(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637])).
% 55.21/55.73 cnf(2352,plain,
% 55.21/55.73 (P73(f72(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634])).
% 55.21/55.73 cnf(2356,plain,
% 55.21/55.73 (P72(f72(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632])).
% 55.21/55.73 cnf(2358,plain,
% 55.21/55.73 (P71(f72(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631])).
% 55.21/55.73 cnf(2360,plain,
% 55.21/55.73 (P62(f72(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630])).
% 55.21/55.73 cnf(2380,plain,
% 55.21/55.73 (P24(f72(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620])).
% 55.21/55.73 cnf(2384,plain,
% 55.21/55.73 (P65(f72(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618])).
% 55.21/55.73 cnf(2386,plain,
% 55.21/55.73 (P50(f72(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617])).
% 55.21/55.73 cnf(2392,plain,
% 55.21/55.73 (P77(f72(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614])).
% 55.21/55.73 cnf(2394,plain,
% 55.21/55.73 (P69(f72(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613])).
% 55.21/55.73 cnf(2396,plain,
% 55.21/55.73 (P64(f72(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612])).
% 55.21/55.73 cnf(2398,plain,
% 55.21/55.73 (P63(f72(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611])).
% 55.21/55.73 cnf(2400,plain,
% 55.21/55.73 (P28(f72(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610])).
% 55.21/55.73 cnf(2404,plain,
% 55.21/55.73 (P49(f72(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608])).
% 55.21/55.73 cnf(2406,plain,
% 55.21/55.73 (P10(a70,f9(a70,x24061,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x24061,x24062)),f4(a70))),f4(a70))),x24062)),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805])).
% 55.21/55.73 cnf(2408,plain,
% 55.21/55.73 (P10(a70,x24081,f12(a70,x24082,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x24082,x24081)),f4(a70))),f4(a70))))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804])).
% 55.21/55.73 cnf(2410,plain,
% 55.21/55.73 (P9(a1,f27(a69,f9(a69,f59(f3(a1)),f4(a69))),f3(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516])).
% 55.21/55.73 cnf(2411,plain,
% 55.21/55.73 (P9(a1,x24111,x24111)),
% 55.21/55.73 inference(rename_variables,[],[447])).
% 55.21/55.73 cnf(2413,plain,
% 55.21/55.73 (P9(a1,f27(a69,f25(f27(a69,x24131))),f27(a69,x24131))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085])).
% 55.21/55.73 cnf(2416,plain,
% 55.21/55.73 (P9(a1,x24161,x24161)),
% 55.21/55.73 inference(rename_variables,[],[447])).
% 55.21/55.73 cnf(2418,plain,
% 55.21/55.73 (P9(a1,f27(a69,f4(a69)),f4(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060])).
% 55.21/55.73 cnf(2420,plain,
% 55.21/55.73 (P10(a1,f61(a81),f4(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053])).
% 55.21/55.73 cnf(2423,plain,
% 55.21/55.73 (P9(a1,x24231,x24231)),
% 55.21/55.73 inference(rename_variables,[],[447])).
% 55.21/55.73 cnf(2425,plain,
% 55.21/55.73 (~P10(a70,f8(a70,f4(a70)),f4(a70))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984])).
% 55.21/55.73 cnf(2427,plain,
% 55.21/55.73 (~P9(a1,f27(a69,f5(a1,f12(a1,f3(f72(a1)),f4(a1)))),f3(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983])).
% 55.21/55.73 cnf(2429,plain,
% 55.21/55.73 (~E(f12(a69,f5(a1,f12(a1,f3(f72(a1)),f4(a1))),x24291),f3(a69))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874])).
% 55.21/55.73 cnf(2431,plain,
% 55.21/55.73 (~E(f12(a69,x24311,f5(a1,f12(a1,f3(f72(a1)),f4(a1)))),f3(a69))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873])).
% 55.21/55.73 cnf(2439,plain,
% 55.21/55.73 (P9(a1,f27(a69,f14(f3(a1))),f3(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,212,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837])).
% 55.21/55.73 cnf(2451,plain,
% 55.21/55.73 (~E(f27(a69,f5(a1,f12(a1,f3(f72(a1)),f4(a1)))),f3(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,448,1868,1903,1951,2109,2154,449,1824,1827,590,1838,1897,1900,1947,2106,205,206,207,212,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672])).
% 55.21/55.73 cnf(2456,plain,
% 55.21/55.73 (~P10(a69,x24561,x24561)),
% 55.21/55.73 inference(rename_variables,[],[590])).
% 55.21/55.73 cnf(2459,plain,
% 55.21/55.73 (~P10(a69,x24591,x24591)),
% 55.21/55.73 inference(rename_variables,[],[590])).
% 55.21/55.73 cnf(2461,plain,
% 55.21/55.73 (P10(a70,f3(a70),f12(a70,f4(a70),f3(a70)))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,448,1868,1903,1951,2109,2154,449,1824,1827,1940,590,1838,1897,1900,1947,2106,2163,2456,205,206,207,212,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291])).
% 55.21/55.73 cnf(2462,plain,
% 55.21/55.73 (P9(a70,x24621,x24621)),
% 55.21/55.73 inference(rename_variables,[],[449])).
% 55.21/55.73 cnf(2469,plain,
% 55.21/55.73 (P9(a70,x24691,x24691)),
% 55.21/55.73 inference(rename_variables,[],[449])).
% 55.21/55.73 cnf(2473,plain,
% 55.21/55.73 (~P10(a1,f3(a1),f27(a69,f3(a69)))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,448,1868,1903,1951,2109,2154,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,205,206,207,212,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110])).
% 55.21/55.73 cnf(2474,plain,
% 55.21/55.73 (~P10(a69,x24741,x24741)),
% 55.21/55.73 inference(rename_variables,[],[590])).
% 55.21/55.73 cnf(2483,plain,
% 55.21/55.73 (P9(a1,x24831,x24831)),
% 55.21/55.73 inference(rename_variables,[],[447])).
% 55.21/55.73 cnf(2485,plain,
% 55.21/55.73 (P10(a1,f3(a1),f61(a81))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,448,1868,1903,1951,2109,2154,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,205,206,207,212,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054])).
% 55.21/55.73 cnf(2573,plain,
% 55.21/55.73 (E(f8(x25731,f5(a2,a32)),f8(x25731,f5(a2,a73)))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,448,1868,1903,1951,2109,2154,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,205,206,207,212,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26])).
% 55.21/55.73 cnf(2581,plain,
% 55.21/55.73 (E(f9(x25811,x25812,f5(a2,a32)),f9(x25811,x25812,f5(a2,a73)))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,448,1868,1903,1951,2109,2154,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,205,206,207,212,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18])).
% 55.21/55.73 cnf(2582,plain,
% 55.21/55.73 (E(f9(x25821,f5(a2,a32),x25822),f9(x25821,f5(a2,a73),x25822))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,448,1868,1903,1951,2109,2154,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,205,206,207,212,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17])).
% 55.21/55.73 cnf(2597,plain,
% 55.21/55.73 (P9(a69,x25971,f9(a69,f12(a69,x25972,x25971),x25972))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,205,206,207,212,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562])).
% 55.21/55.73 cnf(2599,plain,
% 55.21/55.73 (~P10(a69,f54(f54(f11(a69),x25991),x25992),f54(f54(f11(a69),f3(a69)),x25992))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,205,206,207,212,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526])).
% 55.21/55.73 cnf(2601,plain,
% 55.21/55.73 (~P10(a69,f54(f54(f11(a69),x26011),x26012),f54(f54(f11(a69),x26011),f3(a69)))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,205,206,207,212,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525])).
% 55.21/55.73 cnf(2604,plain,
% 55.21/55.73 (P9(a1,x26041,x26041)),
% 55.21/55.73 inference(rename_variables,[],[447])).
% 55.21/55.73 cnf(2607,plain,
% 55.21/55.73 (P9(a1,x26071,x26071)),
% 55.21/55.73 inference(rename_variables,[],[447])).
% 55.21/55.73 cnf(2610,plain,
% 55.21/55.73 (P9(a1,x26101,x26101)),
% 55.21/55.73 inference(rename_variables,[],[447])).
% 55.21/55.73 cnf(2636,plain,
% 55.21/55.73 (~P9(a1,f9(a1,f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74)),f3(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,205,206,207,212,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361])).
% 55.21/55.73 cnf(2638,plain,
% 55.21/55.73 (~P10(a70,f9(a70,f4(a70),f3(a70)),f3(a70))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,205,206,207,212,215,222,249,257,258,259,260,263,264,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360])).
% 55.21/55.73 cnf(2642,plain,
% 55.21/55.73 (~P10(a1,f54(f54(f11(a1),x26421),x26421),f3(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,205,206,207,212,215,222,249,257,258,259,260,263,264,284,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298])).
% 55.21/55.73 cnf(2648,plain,
% 55.21/55.73 (P9(a1,f10(a1,f8(a1,x26481)),x26481)),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,205,206,207,212,215,222,249,257,258,259,260,263,264,284,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161])).
% 55.21/55.73 cnf(2649,plain,
% 55.21/55.73 (P9(a1,x26491,x26491)),
% 55.21/55.73 inference(rename_variables,[],[447])).
% 55.21/55.73 cnf(2653,plain,
% 55.21/55.73 (P10(a1,f27(a69,f12(a69,a78,f4(a69))),f27(a69,f5(a2,a73)))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,205,206,207,212,215,222,249,257,258,259,260,263,264,284,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116])).
% 55.21/55.73 cnf(2655,plain,
% 55.21/55.73 (P10(a1,x26551,f12(a1,x26551,f4(a1)))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,205,206,207,212,215,222,249,257,258,259,260,263,264,284,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109])).
% 55.21/55.73 cnf(2657,plain,
% 55.21/55.73 (P9(a1,f3(a1),f54(f54(f11(a1),x26571),x26571))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,205,206,207,212,215,222,249,257,258,259,260,263,264,284,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076])).
% 55.21/55.73 cnf(2659,plain,
% 55.21/55.73 (E(f9(a1,f12(a1,x26591,x26592),x26592),x26591)),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,205,206,207,212,215,222,249,257,258,259,260,263,264,284,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072])).
% 55.21/55.73 cnf(2661,plain,
% 55.21/55.73 (E(f12(a1,f9(a1,x26611,x26612),x26612),x26611)),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,205,206,207,212,215,222,249,257,258,259,260,263,264,284,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071])).
% 55.21/55.73 cnf(2665,plain,
% 55.21/55.73 (~E(f12(a69,x26651,f3(a2)),f12(a69,x26651,a83))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,205,206,207,212,215,222,249,257,258,259,260,263,264,284,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067])).
% 55.21/55.73 cnf(2669,plain,
% 55.21/55.73 (P9(a69,f14(f28(a2,f54(f54(f11(a2),f29(a2,a81)),a83))),f14(f28(a2,a83)))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,205,206,207,212,215,222,249,257,258,259,260,263,264,284,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031])).
% 55.21/55.73 cnf(2671,plain,
% 55.21/55.73 (~P10(a1,f8(a1,x26711),f3(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,205,206,207,212,215,222,249,257,258,259,260,263,264,284,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020])).
% 55.21/55.73 cnf(2683,plain,
% 55.21/55.73 (~P9(a1,f4(a1),f3(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,205,206,207,212,215,222,249,257,258,259,260,263,264,284,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938])).
% 55.21/55.73 cnf(2685,plain,
% 55.21/55.73 (~P10(a1,f4(a1),f3(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,205,206,207,212,215,222,249,257,258,259,260,263,264,284,286,291,296,303,306,308,314,315,318,320,323,324,327,331,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937])).
% 55.21/55.73 cnf(2691,plain,
% 55.21/55.73 (E(f12(f72(a1),f3(f72(a1)),x26911),x26911)),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,205,206,207,212,215,222,249,257,258,259,260,263,264,284,286,291,296,303,306,308,314,315,318,320,323,324,327,331,332,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842])).
% 55.21/55.73 cnf(2693,plain,
% 55.21/55.73 (E(f9(f72(a1),x26931,f3(f72(a1))),x26931)),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,205,206,207,212,215,222,249,257,258,259,260,263,264,284,286,291,296,303,306,308,314,315,318,320,323,324,327,331,332,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841])).
% 55.21/55.73 cnf(2699,plain,
% 55.21/55.73 (P9(a1,f3(a1),f4(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,205,206,207,212,215,222,249,257,258,259,260,263,264,284,286,291,296,303,306,308,314,315,318,320,323,324,327,331,332,338,341,344,345,351,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809])).
% 55.21/55.73 cnf(2711,plain,
% 55.21/55.73 (E(f12(a1,f3(a1),x27111),x27111)),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,205,206,207,208,212,215,222,249,257,258,259,260,263,264,284,286,291,296,303,306,308,314,315,318,320,323,324,327,331,332,338,341,344,345,351,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785])).
% 55.21/55.73 cnf(2741,plain,
% 55.21/55.73 (E(f10(a1,f10(a1,x27411)),x27411)),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,205,206,207,208,210,212,215,219,222,240,249,257,258,259,260,263,264,284,286,291,296,302,303,306,308,314,315,318,320,323,324,327,331,332,338,341,344,345,351,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725])).
% 55.21/55.73 cnf(2756,plain,
% 55.21/55.73 (P9(a1,x27561,x27561)),
% 55.21/55.73 inference(rename_variables,[],[447])).
% 55.21/55.73 cnf(2758,plain,
% 55.21/55.73 (~P10(a70,f12(a70,f12(a70,f4(a70),f4(a70)),f4(a70)),f3(a70))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,205,206,207,208,210,212,215,219,222,236,240,249,257,258,259,260,263,264,284,286,291,296,302,303,306,308,314,315,318,320,323,324,327,331,332,338,341,344,345,351,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713])).
% 55.21/55.73 cnf(2765,plain,
% 55.21/55.73 (~P10(a69,x27651,x27651)),
% 55.21/55.73 inference(rename_variables,[],[590])).
% 55.21/55.73 cnf(2768,plain,
% 55.21/55.73 (~P10(a69,x27681,x27681)),
% 55.21/55.73 inference(rename_variables,[],[590])).
% 55.21/55.73 cnf(2779,plain,
% 55.21/55.73 (P9(a1,x27791,x27791)),
% 55.21/55.73 inference(rename_variables,[],[447])).
% 55.21/55.73 cnf(2782,plain,
% 55.21/55.73 (P9(a1,x27821,x27821)),
% 55.21/55.73 inference(rename_variables,[],[447])).
% 55.21/55.73 cnf(2785,plain,
% 55.21/55.73 (~P10(a69,x27851,x27851)),
% 55.21/55.73 inference(rename_variables,[],[590])).
% 55.21/55.73 cnf(2790,plain,
% 55.21/55.73 (P9(a1,x27901,x27901)),
% 55.21/55.73 inference(rename_variables,[],[447])).
% 55.21/55.73 cnf(2793,plain,
% 55.21/55.73 (P9(a1,x27931,x27931)),
% 55.21/55.73 inference(rename_variables,[],[447])).
% 55.21/55.73 cnf(2799,plain,
% 55.21/55.73 (E(f54(f54(f11(a69),f14(f3(a1))),x27991),f54(f54(f11(a69),f14(f3(a1))),x27992))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,215,219,222,236,240,249,257,258,259,260,263,264,284,286,291,296,302,303,306,308,314,315,318,320,323,324,327,331,332,338,341,344,345,351,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906])).
% 55.21/55.73 cnf(2803,plain,
% 55.21/55.73 (~P10(a1,f3(a1),f54(f54(f11(a1),f26(a1,f3(a1))),f26(a1,f3(a1))))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,215,219,222,236,240,249,257,258,259,260,263,264,284,286,291,296,302,303,306,308,314,315,318,320,323,324,327,331,332,338,341,344,345,351,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246])).
% 55.21/55.73 cnf(2813,plain,
% 55.21/55.73 (~P10(a1,f12(a1,x28131,f12(a1,f8(a1,f10(a1,x28131)),f4(a1))),f3(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,214,215,219,222,236,240,249,257,258,259,260,263,264,284,286,291,296,302,303,306,308,314,315,318,320,323,324,327,331,332,338,341,344,345,351,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390])).
% 55.21/55.73 cnf(2816,plain,
% 55.21/55.73 (P9(a1,x28161,x28161)),
% 55.21/55.73 inference(rename_variables,[],[447])).
% 55.21/55.73 cnf(2818,plain,
% 55.21/55.73 (P9(a1,f3(a1),f54(f54(f21(a1),f8(a1,x28181)),x28182))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,214,215,219,222,236,240,249,257,258,259,260,263,264,284,286,291,296,302,303,306,308,314,315,318,320,323,324,327,331,332,338,341,344,345,351,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319])).
% 55.21/55.73 cnf(2834,plain,
% 55.21/55.73 (E(f12(a1,f10(a1,x28341),f12(a1,x28341,x28342)),x28342)),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,214,215,219,222,236,240,247,249,257,258,259,260,263,264,284,286,291,296,302,303,306,308,314,315,318,320,323,324,327,331,332,338,341,344,345,351,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160])).
% 55.21/55.73 cnf(2836,plain,
% 55.21/55.73 (E(f10(a1,f9(a1,x28361,x28362)),f9(a1,x28362,x28361))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,214,215,219,222,236,240,247,249,257,258,259,260,263,264,284,286,291,296,302,303,306,308,314,315,318,320,323,324,327,331,332,338,341,344,345,351,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115])).
% 55.21/55.73 cnf(2838,plain,
% 55.21/55.73 (E(f12(a69,x28381,f68(x28381,x28381)),x28381)),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,214,215,219,222,236,240,247,249,257,258,259,260,263,264,284,286,291,296,302,303,306,308,314,315,318,320,323,324,327,331,332,338,341,344,345,351,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064])).
% 55.21/55.73 cnf(2840,plain,
% 55.21/55.73 (E(f12(a69,x28401,f67(x28401,x28401)),x28401)),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,214,215,219,222,236,240,247,249,257,258,259,260,263,264,284,286,291,296,302,303,306,308,314,315,318,320,323,324,327,331,332,338,341,344,345,351,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063])).
% 55.21/55.73 cnf(2860,plain,
% 55.21/55.73 (E(f12(a1,f10(a1,x28601),x28601),f3(a1))),
% 55.21/55.73 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,214,215,219,222,236,240,247,249,257,258,259,260,263,264,284,286,291,296,302,303,306,308,314,315,318,320,323,324,327,331,332,338,341,344,345,351,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879])).
% 55.21/55.73 cnf(2889,plain,
% 55.21/55.73 (E(f14(f27(a69,x28891)),x28891)),
% 55.21/55.73 inference(rename_variables,[],[440])).
% 55.21/55.73 cnf(2919,plain,
% 55.21/55.73 (E(f8(a1,f3(a1)),f3(a1))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,214,215,219,222,228,236,240,247,249,257,258,259,260,263,264,284,286,291,296,302,303,306,308,314,315,318,320,323,324,327,331,332,338,341,344,345,351,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,2191,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684])).
% 55.21/55.74 cnf(2930,plain,
% 55.21/55.74 (P10(a1,x29301,f12(a1,f27(a69,f25(x29301)),f4(a1)))),
% 55.21/55.74 inference(rename_variables,[],[515])).
% 55.21/55.74 cnf(2946,plain,
% 55.21/55.74 (P9(a1,f28(a1,f54(f54(f11(a1),x29461),x29462)),f54(f54(f11(a1),f28(a1,x29461)),f28(a1,x29462)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,214,215,219,222,228,236,240,247,249,257,258,259,260,263,264,284,286,291,296,302,303,306,307,308,314,315,318,319,320,323,324,327,331,332,338,341,344,345,351,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,2191,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660])).
% 55.21/55.74 cnf(2974,plain,
% 55.21/55.74 (P9(a69,f9(a69,f12(a69,x29741,x29742),x29742),x29741)),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,214,215,219,222,228,236,240,247,249,257,258,259,260,263,264,284,286,291,296,302,303,306,307,308,314,315,318,319,320,323,324,327,331,332,338,341,344,345,347,351,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,2191,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500])).
% 55.21/55.74 cnf(2976,plain,
% 55.21/55.74 (P9(a69,x29761,f12(a69,f12(a69,x29762,f9(a69,x29761,x29763)),x29763))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,214,215,219,222,228,236,240,247,249,257,258,259,260,263,264,284,286,291,296,302,303,306,307,308,314,315,318,319,320,323,324,327,331,332,338,341,344,345,347,351,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,2191,480,1862,1873,1881,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498])).
% 55.21/55.74 cnf(3176,plain,
% 55.21/55.74 (P13(f72(a1),f54(f54(f21(f72(a1)),f18(a1,f10(a1,x31761),f18(a1,f4(a1),f3(f72(a1))))),f19(a1,x31761,x31762)),x31762)),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,318,319,320,323,324,327,331,332,338,341,344,345,347,351,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,2191,480,1862,1873,1881,2185,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790])).
% 55.21/55.74 cnf(3190,plain,
% 55.21/55.74 (~E(a1,x31901)+P7(x31901)),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,318,319,320,323,324,327,331,332,338,341,344,345,347,351,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,2191,480,1862,1873,1881,2185,498,1884,2077,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204])).
% 55.21/55.74 cnf(3195,plain,
% 55.21/55.74 (~P12(a1,f9(a69,f12(a69,f3(f72(a1)),x31951),x31951))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,318,319,320,323,324,327,331,332,338,341,344,345,347,351,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152])).
% 55.21/55.74 cnf(3196,plain,
% 55.21/55.74 (~P12(f9(a69,f12(a69,x31961,a1),x31961),f3(f72(a1)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,318,319,320,323,324,327,331,332,338,341,344,345,347,351,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151])).
% 55.21/55.74 cnf(3201,plain,
% 55.21/55.74 (~P9(a70,f54(f54(f21(a70),f8(a70,x32011)),x32012),f10(a70,f4(a70)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212])).
% 55.21/55.74 cnf(3207,plain,
% 55.21/55.74 (E(f3(a1),f27(a69,f25(f3(a1))))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073])).
% 55.21/55.74 cnf(3209,plain,
% 55.21/55.74 (P9(a1,a81,f4(a1))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029])).
% 55.21/55.74 cnf(3213,plain,
% 55.21/55.74 (E(f27(a69,f25(f3(a1))),f3(a1))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009])).
% 55.21/55.74 cnf(3221,plain,
% 55.21/55.74 (P9(f72(a1),f5(a2,a32),f5(a2,a73))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801])).
% 55.21/55.74 cnf(3229,plain,
% 55.21/55.74 (~E(f54(f54(f11(a70),f4(a70)),f3(a70)),f4(a70))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069])).
% 55.21/55.74 cnf(3231,plain,
% 55.21/55.74 (~E(f54(f54(f11(a69),f5(a1,f12(a1,f3(f72(a1)),f4(a1)))),f5(a1,f12(a1,f3(f72(a1)),f4(a1)))),f3(a69))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835])).
% 55.21/55.74 cnf(3237,plain,
% 55.21/55.74 (~P10(a70,f3(a70),f54(f54(f21(a70),f8(a70,f10(a70,f3(a70)))),f5(a1,f12(a1,f3(f72(a1)),f4(a1)))))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479])).
% 55.21/55.74 cnf(3241,plain,
% 55.21/55.74 (P9(a70,f3(a70),f12(a70,f3(a70),f3(a70)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409])).
% 55.21/55.74 cnf(3243,plain,
% 55.21/55.74 (P9(a70,f3(a70),f54(f54(f11(a70),f3(a70)),f3(a70)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381])).
% 55.21/55.74 cnf(3247,plain,
% 55.21/55.74 (P10(a1,f3(a1),f54(f54(f11(a1),a81),a81))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379])).
% 55.21/55.74 cnf(3253,plain,
% 55.21/55.74 (P13(a1,x32531,f54(f54(f11(a1),x32532),x32531))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362])).
% 55.21/55.74 cnf(3255,plain,
% 55.21/55.74 (P13(f72(a1),f54(f54(f21(f72(a1)),f18(a1,f10(a1,x32551),f18(a1,f4(a1),f3(f72(a1))))),f19(a1,x32551,f10(f72(a1),x32552))),x32552)),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129])).
% 55.21/55.74 cnf(3257,plain,
% 55.21/55.74 (P13(f72(a1),f54(f54(f21(f72(a1)),f18(a1,f10(a1,x32571),f18(a1,f4(a1),f3(f72(a1))))),f19(a1,x32571,f10(f72(a1),f8(f72(a1),x32572)))),x32572)),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128])).
% 55.21/55.74 cnf(3259,plain,
% 55.21/55.74 (P13(a1,f8(a1,f12(a1,x32591,f10(a1,x32592))),f12(a1,x32592,f10(a1,x32591)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083])).
% 55.21/55.74 cnf(3303,plain,
% 55.21/55.74 (~P9(a1,f54(f54(f11(a1),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))),a81),f54(f54(f11(a1),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74)),a81))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630])).
% 55.21/55.74 cnf(3305,plain,
% 55.21/55.74 (~P9(a1,f54(f54(f11(a1),a81),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))),f54(f54(f11(a1),a81),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629])).
% 55.21/55.74 cnf(3319,plain,
% 55.21/55.74 (~E(f54(f54(f11(a69),f14(f12(a1,f27(a69,f3(a69)),f4(a1)))),f3(a2)),f54(f54(f11(a69),f14(f12(a1,f27(a69,f3(a69)),f4(a1)))),a83))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245])).
% 55.21/55.74 cnf(3321,plain,
% 55.21/55.74 (~E(f54(f54(f11(a69),f5(a1,f12(a1,f3(f72(a1)),f4(a1)))),f5(a1,f12(a1,f3(f72(a1)),f4(a1)))),f54(f54(f11(a69),f3(a69)),f5(a1,f12(a1,f3(f72(a1)),f4(a1)))))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051])).
% 55.21/55.74 cnf(3325,plain,
% 55.21/55.74 (~E(f54(f54(f11(a69),f5(a1,f12(a1,f3(f72(a1)),f4(a1)))),f5(a1,f12(a1,f3(f72(a1)),f4(a1)))),f54(f54(f11(a69),f5(a1,f12(a1,f3(f72(a1)),f4(a1)))),f3(a69)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049])).
% 55.21/55.74 cnf(3333,plain,
% 55.21/55.74 (E(f12(a1,f54(f54(f11(a1),f26(a1,f3(a1))),f26(a1,f3(a1))),f54(f54(f11(a1),f26(a1,f3(a1))),f26(a1,f3(a1)))),f3(a1))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279])).
% 55.21/55.74 cnf(3335,plain,
% 55.21/55.74 (P10(a69,f9(a69,f12(a69,a78,f4(a69)),f12(a69,a78,f4(a69))),f9(a69,f5(a2,a73),f12(a69,a78,f4(a69))))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541])).
% 55.21/55.74 cnf(3337,plain,
% 55.21/55.74 (P10(a69,f9(a69,f5(a2,a73),f5(a2,a73)),f9(a69,f5(a2,a73),f12(a69,a78,f4(a69))))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540])).
% 55.21/55.74 cnf(3339,plain,
% 55.21/55.74 (P9(a1,f3(a1),f28(a2,x33391))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159])).
% 55.21/55.74 cnf(3341,plain,
% 55.21/55.74 (P9(a70,f10(a70,f3(a70)),f3(a70))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123])).
% 55.21/55.74 cnf(3345,plain,
% 55.21/55.74 (P9(a70,f3(a70),f10(a70,f3(a70)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121])).
% 55.21/55.74 cnf(3355,plain,
% 55.21/55.74 (P9(a1,f28(a1,f26(a1,f3(a1))),f3(a1))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,250,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,376,378,379,381,382,383,384,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903])).
% 55.21/55.74 cnf(3357,plain,
% 55.21/55.74 (E(f8(a70,f4(a70)),f4(a70))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,250,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,376,378,379,381,382,383,384,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832])).
% 55.21/55.74 cnf(3373,plain,
% 55.21/55.74 (P10(a1,f3(a1),f28(a1,f4(a1)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,250,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,376,378,379,381,382,383,384,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887])).
% 55.21/55.74 cnf(3379,plain,
% 55.21/55.74 (~P9(a1,f12(a1,x33791,f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))),f12(a1,x33791,f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,250,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,304,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,376,378,379,381,382,383,384,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608])).
% 55.21/55.74 cnf(3383,plain,
% 55.21/55.74 (P9(f72(a1),f12(f72(a1),f5(a2,a32),x33831),f12(f72(a1),f5(a2,a73),x33831))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,250,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,304,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,376,378,379,381,382,383,384,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445])).
% 55.21/55.74 cnf(3391,plain,
% 55.21/55.74 (P10(a69,f12(a69,x33911,f12(a69,a78,f4(a69))),f12(a69,x33911,f5(a2,a73)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,250,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,304,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438])).
% 55.21/55.74 cnf(3393,plain,
% 55.21/55.74 (P13(a1,f54(f54(f21(a1),f12(a1,x33931,f10(a1,x33932))),x33933),f54(f54(f21(a1),f12(a1,x33932,f10(a1,x33931))),x33933))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,250,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,304,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433])).
% 55.21/55.74 cnf(3409,plain,
% 55.21/55.74 (~P9(a1,f10(a1,f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74)),f10(a1,f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,250,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,304,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225])).
% 55.21/55.74 cnf(3411,plain,
% 55.21/55.74 (~P10(a1,f10(a1,f3(a1)),f10(a1,f27(a69,f25(f3(a1)))))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,250,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,304,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224])).
% 55.21/55.74 cnf(3415,plain,
% 55.21/55.74 (P9(a1,f10(a1,f10(a1,x34151)),x34151)),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,250,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,304,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,450,602,552,516,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202])).
% 55.21/55.74 cnf(3417,plain,
% 55.21/55.74 (P10(a1,f10(a1,f12(a1,f27(a69,f25(f10(a1,x34171))),f4(a1))),x34171)),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,250,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,304,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199])).
% 55.21/55.74 cnf(3419,plain,
% 55.21/55.74 (P9(a1,x34191,f10(a1,f10(a1,x34191)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,250,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,304,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197])).
% 55.21/55.74 cnf(3431,plain,
% 55.21/55.74 (P9(a69,f12(a69,f9(a69,f9(a69,f12(a69,a78,f4(a69)),f12(a69,a78,f4(a69))),x34311),f12(a69,a78,f4(a69))),f12(a69,a78,f4(a69)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,210,212,213,214,215,218,219,222,228,236,240,247,248,249,250,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,304,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613])).
% 55.21/55.74 cnf(3439,plain,
% 55.21/55.74 (P9(a70,f3(a70),f54(f54(f21(a70),f4(a70)),x34391))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,228,236,240,247,248,249,250,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,304,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305])).
% 55.21/55.74 cnf(3443,plain,
% 55.21/55.74 (E(f9(a69,f12(a69,f3(a69),f12(a69,x34431,x34432)),x34432),x34431)),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,228,236,240,247,248,249,250,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,304,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,1960,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216])).
% 55.21/55.74 cnf(3463,plain,
% 55.21/55.74 (P10(a1,f26(a1,f27(a69,f25(f3(a1)))),f4(a1))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,228,236,240,247,248,249,250,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,304,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,1960,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147])).
% 55.21/55.74 cnf(3469,plain,
% 55.21/55.74 (P9(a1,f3(a1),f26(a1,f27(a69,f25(f3(a1)))))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,228,236,240,247,248,249,250,257,258,259,260,261,263,264,270,276,284,286,291,296,302,303,304,306,307,308,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,1960,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144])).
% 55.21/55.74 cnf(3525,plain,
% 55.21/55.74 (P14(a69,f54(f11(a69),f3(a69)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,228,236,240,247,248,249,250,257,258,259,260,261,263,264,265,270,276,283,284,286,291,296,302,303,304,306,307,308,310,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,456,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,1960,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432])).
% 55.21/55.74 cnf(3529,plain,
% 55.21/55.74 (P10(a70,f12(a70,f9(a70,f3(a70),f4(a70)),f9(a70,f3(a70),f4(a70))),f3(a70))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,228,236,240,247,248,249,250,257,258,259,260,261,263,264,265,270,276,283,284,286,291,296,302,303,304,306,307,308,310,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,456,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,1960,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314])).
% 55.21/55.74 cnf(3531,plain,
% 55.21/55.74 (P10(a1,f12(a1,f9(a1,x35311,f12(a1,f27(a69,f25(f8(a1,f9(a1,f3(a1),x35311)))),f4(a1))),f9(a1,x35311,f12(a1,f27(a69,f25(f8(a1,f9(a1,f3(a1),x35311)))),f4(a1)))),f3(a1))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,228,236,240,247,248,249,250,257,258,259,260,261,263,264,265,270,276,283,284,286,291,296,302,303,304,306,307,308,310,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,456,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,1960,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313])).
% 55.21/55.74 cnf(3533,plain,
% 55.21/55.74 (P9(a70,f3(a70),f12(a70,f4(a70),f4(a70)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,228,236,240,247,248,249,250,257,258,259,260,261,263,264,265,270,276,283,284,286,291,296,302,303,304,306,307,308,310,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,456,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,1960,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312])).
% 55.21/55.74 cnf(3549,plain,
% 55.21/55.74 (~E(f13(a1,f27(a69,f25(f3(a1)))),f10(a1,f4(a1)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,228,236,240,247,248,249,250,257,258,259,260,261,263,264,265,270,276,283,284,286,291,296,302,303,304,306,307,308,310,314,315,316,318,319,320,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,456,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,491,540,555,554,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,1960,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974])).
% 55.21/55.74 cnf(3575,plain,
% 55.21/55.74 (~P9(a1,f12(a1,f54(f54(f11(a1),x35751),x35751),f54(f54(f11(a1),f4(a1)),f4(a1))),f3(a1))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,247,248,249,250,257,258,259,260,261,263,264,265,270,276,283,284,286,291,296,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,456,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,1960,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741])).
% 55.21/55.74 cnf(3579,plain,
% 55.21/55.74 (P10(a1,f3(a1),f12(a1,f54(f54(f11(a1),x35791),x35791),f54(f54(f11(a1),f4(a1)),f4(a1))))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,247,248,249,250,257,258,259,260,261,263,264,265,270,276,283,284,286,291,296,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,456,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,484,2115,2118,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,1960,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692])).
% 55.21/55.74 cnf(3595,plain,
% 55.21/55.74 (~P10(a69,f12(a69,f54(f54(f11(a69),f12(a69,a78,f4(a69))),x35951),x35952),f12(a69,f54(f54(f11(a69),f12(a69,a78,f4(a69))),x35951),f54(f54(f11(a69),f9(a69,f12(a69,a78,f4(a69)),f12(a69,a78,f4(a69)))),x35951)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,247,248,249,250,257,258,259,260,261,263,264,265,270,276,283,284,286,287,291,296,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,456,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,1960,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784])).
% 55.21/55.74 cnf(3597,plain,
% 55.21/55.74 (~P10(a69,f12(a69,f54(f54(f11(a69),f12(a69,a78,f4(a69))),x35971),f12(a69,x35972,f12(a69,x35973,f12(a69,f54(f54(f11(a69),f9(a69,f12(a69,a78,f4(a69)),f12(a69,a78,f4(a69)))),x35971),x35974)))),f12(a69,f54(f54(f11(a69),f12(a69,a78,f4(a69))),x35971),x35974))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,247,248,249,250,257,258,259,260,261,263,264,265,270,276,283,284,286,287,291,296,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,456,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,1960,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782])).
% 55.21/55.74 cnf(3599,plain,
% 55.21/55.74 (E(f12(a69,f54(f54(f11(a69),f12(a69,a78,f4(a69))),x35991),x35992),f12(a69,f54(f54(f11(a69),f12(a69,a78,f4(a69))),x35991),f12(a69,x35992,f54(f54(f11(a69),f9(a69,f12(a69,a78,f4(a69)),f12(a69,a78,f4(a69)))),x35991))))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,247,248,249,250,257,258,259,260,261,263,264,265,270,276,283,284,286,287,291,296,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,456,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,467,1960,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765])).
% 55.21/55.74 cnf(3601,plain,
% 55.21/55.74 (E(f12(a69,f54(f54(f11(a69),f12(a69,a78,f4(a69))),x36011),x36012),f12(a69,f54(f54(f11(a69),f12(a69,a78,f4(a69))),x36011),f12(a70,f12(a69,f54(f54(f11(a69),f9(a69,f12(a69,a78,f4(a69)),f12(a69,a78,f4(a69)))),x36011),x36012),f3(a70))))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,247,248,249,250,257,258,259,260,261,263,264,265,270,276,283,284,286,287,291,296,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,456,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,467,1960,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764])).
% 55.21/55.74 cnf(3613,plain,
% 55.21/55.74 (P10(a1,f12(a1,f54(f54(f11(a1),f9(a1,x36131,f9(a1,x36132,x36133))),x36134),x36135),f12(a1,f27(a69,f25(f8(a1,f9(a1,f12(a1,f54(f54(f11(a1),x36131),x36134),x36135),f54(f54(f11(a1),f9(a1,x36132,x36133)),x36134))))),f4(a1)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,247,248,249,250,257,258,259,260,261,263,264,265,270,276,283,284,286,287,291,292,296,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,456,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,467,1960,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788])).
% 55.21/55.74 cnf(3617,plain,
% 55.21/55.74 (E(f12(a70,f54(f54(f11(a70),x36171),x36172),x36173),f12(a70,f54(f54(f11(a70),x36174),x36172),f12(a70,x36173,f54(f54(f11(a70),f9(a70,x36171,x36174)),x36172))))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,247,248,249,250,257,258,259,260,261,262,263,264,265,270,276,283,284,286,287,291,292,296,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,456,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,467,1960,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763])).
% 55.21/55.74 cnf(3624,plain,
% 55.21/55.74 (~P10(a69,x36241,f3(a69))),
% 55.21/55.74 inference(rename_variables,[],[593])).
% 55.21/55.74 cnf(3636,plain,
% 55.21/55.74 (P13(a1,f12(a1,x36361,f10(a1,x36362)),f12(a1,f12(a1,x36362,f10(a1,x36361)),f12(a1,x36362,f10(a1,x36361))))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,247,248,249,250,257,258,259,260,261,262,263,264,265,270,276,283,284,286,287,291,292,296,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,456,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414])).
% 55.21/55.74 cnf(3638,plain,
% 55.21/55.74 (P12(a1,f54(f54(f11(f72(a1)),f18(a1,a81,f14(f27(a69,f3(f72(a1)))))),f18(a1,a81,f14(f27(a69,f3(f72(a1)))))))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,247,248,249,250,257,258,259,260,261,262,263,264,265,270,276,283,284,286,287,291,292,296,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,456,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208])).
% 55.21/55.74 cnf(3640,plain,
% 55.21/55.74 (P12(a1,f12(f72(a1),f18(a1,a81,f14(f27(a69,f3(f72(a1))))),f18(a1,a81,f14(f27(a69,f3(f72(a1)))))))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,247,248,249,250,257,258,259,260,261,262,263,264,265,270,276,283,284,286,287,291,292,296,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,453,454,455,456,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126])).
% 55.21/55.74 cnf(3654,plain,
% 55.21/55.74 (~P9(a69,f54(f54(f21(a69),f12(a69,f25(f27(a69,f4(a69))),f4(a69))),f5(a2,a73)),f54(f54(f21(a69),f12(a69,f25(f27(a69,f4(a69))),f4(a69))),f12(a69,a78,f4(a69))))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,243,247,248,249,250,257,258,259,260,261,262,263,264,265,270,276,283,284,286,287,291,292,296,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676])).
% 55.21/55.74 cnf(3666,plain,
% 55.21/55.74 (~P10(a1,f54(f54(f11(a1),f27(a69,f25(f3(a1)))),x36661),f54(f54(f11(a1),f3(a1)),x36661))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,243,247,248,249,250,257,258,259,260,261,262,263,264,265,270,276,283,284,286,287,291,292,296,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645])).
% 55.21/55.74 cnf(3684,plain,
% 55.21/55.74 (~P9(a1,f54(f54(f11(a1),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))),a74),f54(f54(f11(a1),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74)),a74))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,243,247,248,249,250,251,257,258,259,260,261,262,263,264,265,270,276,283,284,286,287,291,292,296,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687])).
% 55.21/55.74 cnf(3686,plain,
% 55.21/55.74 (~P9(a1,f54(f54(f11(a1),a74),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))),f54(f54(f11(a1),a74),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,243,247,248,249,250,251,257,258,259,260,261,262,263,264,265,270,276,283,284,286,287,291,292,296,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686])).
% 55.21/55.74 cnf(3688,plain,
% 55.21/55.74 (~P9(a1,f54(f54(f11(a1),a33),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))),f54(f54(f11(a1),a33),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,243,247,248,249,250,251,257,258,259,260,261,262,263,264,265,270,276,283,284,286,287,291,292,296,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685])).
% 55.21/55.74 cnf(3690,plain,
% 55.21/55.74 (~P10(a70,f54(f54(f11(a70),f4(a70)),f3(a70)),f54(f54(f11(a70),f3(a70)),f3(a70)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,243,247,248,249,250,251,256,257,258,259,260,261,262,263,264,265,270,276,283,284,286,287,291,292,296,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684])).
% 55.21/55.74 cnf(3694,plain,
% 55.21/55.74 (~P10(a70,f54(f54(f11(a70),f4(a70)),f4(a70)),f54(f54(f11(a70),f4(a70)),f3(a70)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,243,247,248,249,250,251,253,256,257,258,259,260,261,262,263,264,265,270,276,283,284,286,287,291,292,296,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681])).
% 55.21/55.74 cnf(3696,plain,
% 55.21/55.74 (~P10(a70,f54(f54(f11(a70),f3(a70)),f4(a70)),f54(f54(f11(a70),f3(a70)),f3(a70)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,243,247,248,249,250,251,253,256,257,258,259,260,261,262,263,264,265,270,276,283,284,286,287,291,292,296,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680])).
% 55.21/55.74 cnf(3700,plain,
% 55.21/55.74 (~P9(a70,f54(f54(f11(a70),f9(a70,f3(a70),f4(a70))),f3(a70)),f54(f54(f11(a70),f9(a70,f3(a70),f4(a70))),f4(a70)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,243,247,248,249,250,251,253,256,257,258,259,260,261,262,263,264,265,270,276,283,284,286,287,291,292,296,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678])).
% 55.21/55.74 cnf(3702,plain,
% 55.21/55.74 (~P10(a70,f54(f54(f11(a70),f9(a70,f3(a70),f4(a70))),f3(a70)),f54(f54(f11(a70),f9(a70,f3(a70),f4(a70))),f4(a70)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,243,247,248,249,250,251,253,256,257,258,259,260,261,262,263,264,265,270,276,283,284,286,287,291,292,296,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677])).
% 55.21/55.74 cnf(3720,plain,
% 55.21/55.74 (P10(a1,f54(f54(f11(a1),a33),f3(a1)),f54(f54(f11(a1),a33),a33))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,243,247,248,249,250,251,253,256,257,258,259,260,261,262,263,264,265,270,276,283,284,286,287,291,292,295,296,299,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573])).
% 55.21/55.74 cnf(3722,plain,
% 55.21/55.74 (P10(a1,f54(f54(f11(a1),a55),f3(a1)),f54(f54(f11(a1),a55),a55))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,243,247,248,249,250,251,253,256,257,258,259,260,261,262,263,264,265,270,276,283,284,286,287,291,292,295,296,299,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573,1571])).
% 55.21/55.74 cnf(3730,plain,
% 55.21/55.74 (P10(a70,f54(f54(f11(a70),f3(a70)),f9(a70,f3(a70),f4(a70))),f54(f54(f11(a70),f9(a70,f3(a70),f4(a70))),f9(a70,f3(a70),f4(a70))))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,243,247,248,249,250,251,253,256,257,258,259,260,261,262,263,264,265,270,276,283,284,286,287,291,292,295,296,299,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573,1571,1570,1569,1567,1566])).
% 55.21/55.74 cnf(3742,plain,
% 55.21/55.74 (~P9(a70,f3(a70),f54(f54(f11(a70),f4(a70)),f10(a70,f4(a70))))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,243,247,248,249,250,251,252,253,256,257,258,259,260,261,262,263,264,265,270,276,283,284,286,287,291,292,295,296,299,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573,1571,1570,1569,1567,1566,1127,1528,1527,1487,1484,1482])).
% 55.21/55.74 cnf(3744,plain,
% 55.21/55.74 (~P9(a70,f3(a70),f54(f54(f11(a70),f10(a70,f4(a70))),f4(a70)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,243,247,248,249,250,251,252,253,256,257,258,259,260,261,262,263,264,265,270,276,283,284,286,287,291,292,295,296,299,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573,1571,1570,1569,1567,1566,1127,1528,1527,1487,1484,1482,1481])).
% 55.21/55.74 cnf(3746,plain,
% 55.21/55.74 (~P9(a70,f54(f54(f11(a70),f4(a70)),f4(a70)),f3(a70))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,243,247,248,249,250,251,252,253,256,257,258,259,260,261,262,263,264,265,270,276,283,284,286,287,291,292,295,296,299,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573,1571,1570,1569,1567,1566,1127,1528,1527,1487,1484,1482,1481,1480])).
% 55.21/55.74 cnf(3752,plain,
% 55.21/55.74 (P10(a1,f12(a1,f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78)),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f3(a1))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,243,247,248,249,250,251,252,253,256,257,258,259,260,261,262,263,264,265,270,276,283,284,286,287,291,292,295,296,299,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,385,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573,1571,1570,1569,1567,1566,1127,1528,1527,1487,1484,1482,1481,1480,1472,1471,1470])).
% 55.21/55.74 cnf(3756,plain,
% 55.21/55.74 (P9(a70,f54(f54(f11(a70),f3(a70)),f3(a70)),f3(a70))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,243,247,248,249,250,251,252,253,256,257,258,259,260,261,262,263,264,265,270,276,283,284,286,287,290,291,292,295,296,299,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,385,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573,1571,1570,1569,1567,1566,1127,1528,1527,1487,1484,1482,1481,1480,1472,1471,1470,1466,1464])).
% 55.21/55.74 cnf(3758,plain,
% 55.21/55.74 (P9(a1,f54(f54(f11(a1),f27(a69,f25(f3(a1)))),f27(a69,f25(f3(a1)))),f3(a1))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,243,247,248,249,250,251,252,253,256,257,258,259,260,261,262,263,264,265,270,276,283,284,286,287,288,290,291,292,295,296,299,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,385,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573,1571,1570,1569,1567,1566,1127,1528,1527,1487,1484,1482,1481,1480,1472,1471,1470,1466,1464,1462])).
% 55.21/55.74 cnf(3762,plain,
% 55.21/55.74 (P9(a70,f54(f54(f11(a70),f3(a70)),f8(a70,f10(a70,f3(a70)))),f3(a70))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,243,247,248,249,250,251,252,253,256,257,258,259,260,261,262,263,264,265,270,276,283,284,286,287,288,290,291,292,295,296,299,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,385,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573,1571,1570,1569,1567,1566,1127,1528,1527,1487,1484,1482,1481,1480,1472,1471,1470,1466,1464,1462,1460,1459])).
% 55.21/55.74 cnf(3768,plain,
% 55.21/55.74 (P9(a70,f3(a70),f54(f54(f11(a70),f4(a70)),f4(a70)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,243,247,248,249,250,251,252,253,256,257,258,259,260,261,262,263,264,265,270,276,283,284,286,287,288,290,291,292,295,296,299,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,385,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573,1571,1570,1569,1567,1566,1127,1528,1527,1487,1484,1482,1481,1480,1472,1471,1470,1466,1464,1462,1460,1459,1457,1456,1454])).
% 55.21/55.74 cnf(3774,plain,
% 55.21/55.74 (P10(a69,f4(a69),f54(f54(f11(a69),f12(a69,f25(f27(a69,f4(a69))),f4(a69))),f12(a69,f25(f27(a69,f4(a69))),f4(a69))))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,243,247,248,249,250,251,252,253,256,257,258,259,260,261,262,263,264,265,270,276,283,284,286,287,288,290,291,292,295,296,299,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,385,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573,1571,1570,1569,1567,1566,1127,1528,1527,1487,1484,1482,1481,1480,1472,1471,1470,1466,1464,1462,1460,1459,1457,1456,1454,1453,1452,1451])).
% 55.21/55.74 cnf(3778,plain,
% 55.21/55.74 (P9(a70,f3(a70),f54(f54(f11(a70),f8(a70,f10(a70,f3(a70)))),f8(a70,f10(a70,f3(a70)))))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,243,247,248,249,250,251,252,253,256,257,258,259,260,261,262,263,264,265,270,276,283,284,286,287,288,290,291,292,295,296,299,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,385,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573,1571,1570,1569,1567,1566,1127,1528,1527,1487,1484,1482,1481,1480,1472,1471,1470,1466,1464,1462,1460,1459,1457,1456,1454,1453,1452,1451,1450,1449])).
% 55.21/55.74 cnf(3780,plain,
% 55.21/55.74 (P9(a70,f3(a70),f54(f54(f11(a70),f10(a70,f3(a70))),f10(a70,f3(a70))))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,243,247,248,249,250,251,252,253,256,257,258,259,260,261,262,263,264,265,270,276,283,284,286,287,288,290,291,292,295,296,299,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,385,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573,1571,1570,1569,1567,1566,1127,1528,1527,1487,1484,1482,1481,1480,1472,1471,1470,1466,1464,1462,1460,1459,1457,1456,1454,1453,1452,1451,1450,1449,1447])).
% 55.21/55.74 cnf(3788,plain,
% 55.21/55.74 (~E(f54(f54(f11(a1),f4(a1)),f4(a1)),f3(a1))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,236,240,243,247,248,249,250,251,252,253,256,257,258,259,260,261,262,263,264,265,270,276,281,283,284,286,287,288,290,291,292,295,296,299,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,385,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573,1571,1570,1569,1567,1566,1127,1528,1527,1487,1484,1482,1481,1480,1472,1471,1470,1466,1464,1462,1460,1459,1457,1456,1454,1453,1452,1451,1450,1449,1447,1446,1188,980,924])).
% 55.21/55.74 cnf(3794,plain,
% 55.21/55.74 (~P10(a1,f54(f54(f11(a1),x37941),f27(a69,f25(f3(a1)))),f54(f54(f11(a1),x37942),f27(a69,f25(f3(a1)))))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,234,236,240,243,247,248,249,250,251,252,253,256,257,258,259,260,261,262,263,264,265,270,276,281,283,284,286,287,288,290,291,292,295,296,299,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,385,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573,1571,1570,1569,1567,1566,1127,1528,1527,1487,1484,1482,1481,1480,1472,1471,1470,1466,1464,1462,1460,1459,1457,1456,1454,1453,1452,1451,1450,1449,1447,1446,1188,980,924,923,908,1662])).
% 55.21/55.74 cnf(3804,plain,
% 55.21/55.74 (~P10(a70,f3(a70),f12(a70,f54(f54(f11(a70),f10(a70,f3(a70))),f10(a70,f3(a70))),f54(f54(f11(a70),f10(a70,f3(a70))),f10(a70,f3(a70)))))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,234,236,240,243,247,248,249,250,251,252,253,256,257,258,259,260,261,262,263,264,265,270,276,281,283,284,286,287,288,290,291,292,295,296,299,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,385,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573,1571,1570,1569,1567,1566,1127,1528,1527,1487,1484,1482,1481,1480,1472,1471,1470,1466,1464,1462,1460,1459,1457,1456,1454,1453,1452,1451,1450,1449,1447,1446,1188,980,924,923,908,1662,1712,1699,975,1714,1744])).
% 55.21/55.74 cnf(3806,plain,
% 55.21/55.74 (P10(a70,f8(a70,f9(a70,f3(a70),f3(a70))),f4(a70))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,234,236,240,243,247,248,249,250,251,252,253,256,257,258,259,260,261,262,263,264,265,270,276,281,283,284,286,287,288,290,291,292,295,296,299,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,385,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573,1571,1570,1569,1567,1566,1127,1528,1527,1487,1484,1482,1481,1480,1472,1471,1470,1466,1464,1462,1460,1459,1457,1456,1454,1453,1452,1451,1450,1449,1447,1446,1188,980,924,923,908,1662,1712,1699,975,1714,1744,1732])).
% 55.21/55.74 cnf(3808,plain,
% 55.21/55.74 (P9(a70,f12(a70,f54(f54(f11(a70),f10(a70,f3(a70))),f10(a70,f3(a70))),f54(f54(f11(a70),f10(a70,f3(a70))),f10(a70,f3(a70)))),f3(a70))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,234,236,240,243,247,248,249,250,251,252,253,256,257,258,259,260,261,262,263,264,265,270,276,281,283,284,286,287,288,290,291,292,295,296,299,302,303,304,306,307,308,310,314,315,316,318,319,320,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,385,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573,1571,1570,1569,1567,1566,1127,1528,1527,1487,1484,1482,1481,1480,1472,1471,1470,1466,1464,1462,1460,1459,1457,1456,1454,1453,1452,1451,1450,1449,1447,1446,1188,980,924,923,908,1662,1712,1699,975,1714,1744,1732,1694])).
% 55.21/55.74 cnf(3832,plain,
% 55.21/55.74 (~P9(a70,f12(a70,f54(f54(f11(a70),f4(a70)),f4(a70)),f3(a70)),f12(a70,f54(f54(f11(a70),f4(a70)),f3(a70)),f3(a70)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,234,236,240,243,247,248,249,250,251,252,253,256,257,258,259,260,261,262,263,264,265,270,276,281,283,284,286,287,288,290,291,292,295,296,299,302,303,304,306,307,308,310,313,314,315,316,318,319,320,321,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,385,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573,1571,1570,1569,1567,1566,1127,1528,1527,1487,1484,1482,1481,1480,1472,1471,1470,1466,1464,1462,1460,1459,1457,1456,1454,1453,1452,1451,1450,1449,1447,1446,1188,980,924,923,908,1662,1712,1699,975,1714,1744,1732,1694,1335,1718,1553,1552,1551,1550,1299,1768,1750,1749,1777,1767])).
% 55.21/55.74 cnf(3834,plain,
% 55.21/55.74 (~P9(a70,f12(a70,f54(f54(f11(a70),f9(a70,f3(a70),f4(a70))),f3(a70)),f3(a70)),f12(a70,f54(f54(f11(a70),f9(a70,f3(a70),f4(a70))),f4(a70)),f3(a70)))),
% 55.21/55.74 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,234,236,240,243,247,248,249,250,251,252,253,256,257,258,259,260,261,262,263,264,265,270,276,281,283,284,286,287,288,290,291,292,295,296,299,302,303,304,306,307,308,310,313,314,315,316,318,319,320,321,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,385,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573,1571,1570,1569,1567,1566,1127,1528,1527,1487,1484,1482,1481,1480,1472,1471,1470,1466,1464,1462,1460,1459,1457,1456,1454,1453,1452,1451,1450,1449,1447,1446,1188,980,924,923,908,1662,1712,1699,975,1714,1744,1732,1694,1335,1718,1553,1552,1551,1550,1299,1768,1750,1749,1777,1767,1766])).
% 55.21/55.74 cnf(3846,plain,
% 55.21/55.74 (~E(f12(a1,f4(a1),f27(a69,f25(f3(a1)))),f3(a1))),
% 55.21/55.75 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,234,236,240,243,247,248,249,250,251,252,253,256,257,258,259,260,261,262,263,264,265,270,276,281,283,284,286,287,288,290,291,292,295,296,299,302,303,304,306,307,308,310,313,314,315,316,318,319,320,321,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,385,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,419,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573,1571,1570,1569,1567,1566,1127,1528,1527,1487,1484,1482,1481,1480,1472,1471,1470,1466,1464,1462,1460,1459,1457,1456,1454,1453,1452,1451,1450,1449,1447,1446,1188,980,924,923,908,1662,1712,1699,975,1714,1744,1732,1694,1335,1718,1553,1552,1551,1550,1299,1768,1750,1749,1777,1767,1766,1664,1665,1584,1583,1758,1346])).
% 55.21/55.75 cnf(3847,plain,
% 55.21/55.75 (P9(a1,f3(a1),f27(a69,x38471))),
% 55.21/55.75 inference(rename_variables,[],[479])).
% 55.21/55.75 cnf(3849,plain,
% 55.21/55.75 (~E(f12(a1,f27(a69,x38491),f4(a1)),f3(a1))),
% 55.21/55.75 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,228,234,236,240,243,247,248,249,250,251,252,253,256,257,258,259,260,261,262,263,264,265,270,276,281,283,284,286,287,288,290,291,292,295,296,299,302,303,304,306,307,308,310,313,314,315,316,318,319,320,321,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,385,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,419,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,3847,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573,1571,1570,1569,1567,1566,1127,1528,1527,1487,1484,1482,1481,1480,1472,1471,1470,1466,1464,1462,1460,1459,1457,1456,1454,1453,1452,1451,1450,1449,1447,1446,1188,980,924,923,908,1662,1712,1699,975,1714,1744,1732,1694,1335,1718,1553,1552,1551,1550,1299,1768,1750,1749,1777,1767,1766,1664,1665,1584,1583,1758,1346,1345])).
% 55.21/55.75 cnf(3851,plain,
% 55.21/55.75 (~E(f54(f54(f21(a1),x38511),f14(f3(a1))),f3(a1))),
% 55.21/55.75 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,222,224,225,227,228,231,234,235,236,240,243,247,248,249,250,251,252,253,256,257,258,259,260,261,262,263,264,265,270,276,281,283,284,286,287,288,290,291,292,295,296,299,302,303,304,306,307,308,310,313,314,315,316,318,319,320,321,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,385,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,419,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,3847,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573,1571,1570,1569,1567,1566,1127,1528,1527,1487,1484,1482,1481,1480,1472,1471,1470,1466,1464,1462,1460,1459,1457,1456,1454,1453,1452,1451,1450,1449,1447,1446,1188,980,924,923,908,1662,1712,1699,975,1714,1744,1732,1694,1335,1718,1553,1552,1551,1550,1299,1768,1750,1749,1777,1767,1766,1664,1665,1584,1583,1758,1346,1345,977])).
% 55.21/55.75 cnf(3853,plain,
% 55.21/55.75 (~E(f54(f54(f21(a70),f4(a70)),x38531),f3(a70))),
% 55.21/55.75 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,221,222,224,225,227,228,230,231,234,235,236,238,240,243,247,248,249,250,251,252,253,256,257,258,259,260,261,262,263,264,265,270,276,281,283,284,286,287,288,290,291,292,295,296,299,302,303,304,306,307,308,310,313,314,315,316,318,319,320,321,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,385,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,419,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,3847,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573,1571,1570,1569,1567,1566,1127,1528,1527,1487,1484,1482,1481,1480,1472,1471,1470,1466,1464,1462,1460,1459,1457,1456,1454,1453,1452,1451,1450,1449,1447,1446,1188,980,924,923,908,1662,1712,1699,975,1714,1744,1732,1694,1335,1718,1553,1552,1551,1550,1299,1768,1750,1749,1777,1767,1766,1664,1665,1584,1583,1758,1346,1345,977,976])).
% 55.21/55.75 cnf(3861,plain,
% 55.21/55.75 (P10(a1,f54(f54(f11(a1),a81),f27(a69,f4(a69))),f54(f54(f11(a1),f4(a1)),f27(a69,f12(a69,f25(f27(a69,f4(a69))),f4(a69)))))),
% 55.21/55.75 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,221,222,224,225,227,228,230,231,234,235,236,238,240,243,247,248,249,250,251,252,253,256,257,258,259,260,261,262,263,264,265,270,276,281,283,284,286,287,288,290,291,292,295,296,299,302,303,304,306,307,308,310,313,314,315,316,318,319,320,321,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,385,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,419,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,3847,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573,1571,1570,1569,1567,1566,1127,1528,1527,1487,1484,1482,1481,1480,1472,1471,1470,1466,1464,1462,1460,1459,1457,1456,1454,1453,1452,1451,1450,1449,1447,1446,1188,980,924,923,908,1662,1712,1699,975,1714,1744,1732,1694,1335,1718,1553,1552,1551,1550,1299,1768,1750,1749,1777,1767,1766,1664,1665,1584,1583,1758,1346,1345,977,976,1705,1704,1703,1702])).
% 55.21/55.75 cnf(3863,plain,
% 55.21/55.75 (P10(a70,f54(f54(f11(a70),f3(a70)),f3(a70)),f54(f54(f11(a70),f4(a70)),f4(a70)))),
% 55.21/55.75 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,221,222,224,225,227,228,230,231,234,235,236,238,240,243,247,248,249,250,251,252,253,256,257,258,259,260,261,262,263,264,265,270,276,281,283,284,286,287,288,290,291,292,295,296,299,302,303,304,306,307,308,310,313,314,315,316,318,319,320,321,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,385,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,419,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,3847,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573,1571,1570,1569,1567,1566,1127,1528,1527,1487,1484,1482,1481,1480,1472,1471,1470,1466,1464,1462,1460,1459,1457,1456,1454,1453,1452,1451,1450,1449,1447,1446,1188,980,924,923,908,1662,1712,1699,975,1714,1744,1732,1694,1335,1718,1553,1552,1551,1550,1299,1768,1750,1749,1777,1767,1766,1664,1665,1584,1583,1758,1346,1345,977,976,1705,1704,1703,1702,1701])).
% 55.21/55.75 cnf(3873,plain,
% 55.21/55.75 (E(f12(a69,f54(f54(f11(a69),f9(a69,f3(a69),f3(a69))),x38731),f3(a69)),f3(a69))),
% 55.21/55.75 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,220,221,222,224,225,227,228,229,230,231,233,234,235,236,237,238,240,243,247,248,249,250,251,252,253,256,257,258,259,260,261,262,263,264,265,270,275,276,280,281,283,284,286,287,288,290,291,292,295,296,299,302,303,304,306,307,308,310,313,314,315,316,318,319,320,321,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,385,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,419,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,3847,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573,1571,1570,1569,1567,1566,1127,1528,1527,1487,1484,1482,1481,1480,1472,1471,1470,1466,1464,1462,1460,1459,1457,1456,1454,1453,1452,1451,1450,1449,1447,1446,1188,980,924,923,908,1662,1712,1699,975,1714,1744,1732,1694,1335,1718,1553,1552,1551,1550,1299,1768,1750,1749,1777,1767,1766,1664,1665,1584,1583,1758,1346,1345,977,976,1705,1704,1703,1702,1701,1700,902,1748,1747,880])).
% 55.21/55.75 cnf(3879,plain,
% 55.21/55.75 (~E(f12(a69,x38791,f5(a1,f12(a1,f3(f72(a1)),f4(a1)))),x38791)),
% 55.21/55.75 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,220,221,222,224,225,227,228,229,230,231,233,234,235,236,237,238,240,243,247,248,249,250,251,252,253,256,257,258,259,260,261,262,263,264,265,270,275,276,280,281,283,284,286,287,288,290,291,292,295,296,299,302,303,304,306,307,308,310,313,314,315,316,318,319,320,321,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,385,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,419,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,3847,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573,1571,1570,1569,1567,1566,1127,1528,1527,1487,1484,1482,1481,1480,1472,1471,1470,1466,1464,1462,1460,1459,1457,1456,1454,1453,1452,1451,1450,1449,1447,1446,1188,980,924,923,908,1662,1712,1699,975,1714,1744,1732,1694,1335,1718,1553,1552,1551,1550,1299,1768,1750,1749,1777,1767,1766,1664,1665,1584,1583,1758,1346,1345,977,976,1705,1704,1703,1702,1701,1700,902,1748,1747,880,890,889,857])).
% 55.21/55.75 cnf(3885,plain,
% 55.21/55.75 (E(x38851,f10(a1,f9(a1,f3(a1),x38851)))),
% 55.21/55.75 inference(scs_inference,[],[607,447,1847,1878,1905,1946,1950,1963,2121,2167,2206,2411,2416,2423,2483,2604,2607,2610,2649,2756,2779,2782,2790,2793,2816,448,1868,1903,1951,2109,2154,2203,449,1824,1827,1940,2462,2469,590,1838,1897,1900,1947,2106,2163,2456,2459,2474,2765,2768,2785,205,206,207,208,209,210,212,213,214,215,218,219,220,221,222,224,225,227,228,229,230,231,233,234,235,236,237,238,240,243,247,248,249,250,251,252,253,256,257,258,259,260,261,262,263,264,265,270,275,276,280,281,283,284,286,287,288,290,291,292,295,296,299,302,303,304,306,307,308,310,313,314,315,316,318,319,320,321,322,323,324,327,331,332,335,338,341,344,345,347,351,354,358,366,370,371,372,373,376,378,379,381,382,383,384,385,386,387,388,390,392,393,394,395,396,400,401,403,404,407,408,413,417,418,419,423,463,1924,1927,2110,2139,2153,2157,2160,2220,593,1997,2144,2147,3624,453,454,455,456,457,458,595,578,580,583,437,436,438,472,474,585,586,594,504,587,427,428,429,431,432,433,434,588,491,470,540,555,554,543,544,606,569,574,495,1830,1833,2131,496,497,1923,600,1841,1844,2175,601,2178,484,2115,2118,2217,485,461,479,2186,3847,599,440,1986,2191,2889,441,480,1862,1873,1881,2185,498,1884,2077,2152,499,464,465,466,467,1960,468,603,1854,1891,1908,1994,2002,2025,2072,2124,2166,2170,2181,2194,494,493,500,471,1968,515,1865,1894,1943,1991,2092,2095,2136,2182,2930,450,602,552,516,527,528,560,2,992,925,884,852,846,741,864,1365,1363,1352,1351,1348,1259,1254,1252,1078,1004,1025,798,1284,8,1598,1520,1519,1431,1417,1187,1186,1089,1088,1014,945,941,1325,1392,1499,1497,120,119,116,115,3,1099,1098,1095,1094,1093,1075,1074,1012,956,900,899,769,1407,1132,1130,1308,1293,708,679,1539,1358,1327,1105,916,915,1510,1158,1157,1156,912,720,719,700,1606,1441,1295,1200,1195,1163,921,1184,1182,1181,1180,1179,1177,1176,1174,1173,1172,1057,1030,968,967,917,911,787,717,716,715,714,713,712,710,709,691,690,1403,1402,1401,1400,1399,1138,1086,919,948,934,863,862,1709,1708,930,1599,1490,1793,1791,1785,1783,1756,1755,1801,1786,1754,1753,1239,1236,1233,1114,1044,1038,1036,969,1408,1430,1429,1428,1427,1426,1561,1560,1559,1558,1355,1736,1268,1388,1343,1650,1580,1473,1331,1329,1328,979,1663,1634,1320,998,997,927,926,851,761,760,744,1023,1022,750,1364,1277,1275,1274,1273,1258,1256,1065,990,778,777,764,763,746,706,705,704,703,702,701,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,1805,1804,1516,1085,1084,1060,1053,1052,984,983,874,873,861,860,859,837,836,791,737,735,734,672,671,1334,1333,1291,1269,1264,1244,1243,1110,1066,1061,1059,1055,1054,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,7,6,5,4,1597,1562,1526,1525,1437,1436,1435,1425,1424,1423,1422,1421,1420,1419,1418,1373,1371,1368,1367,1361,1360,1332,1298,1272,1271,1161,1117,1116,1109,1076,1072,1071,1068,1067,1032,1031,1020,1007,1005,978,949,942,938,937,935,885,842,841,840,831,809,808,807,806,796,786,785,784,782,781,780,775,774,773,772,771,770,748,747,727,726,725,718,676,675,674,673,670,1759,1713,1710,1600,1530,1529,1501,1475,1474,1359,1357,1356,1337,1336,1301,1300,1270,907,906,904,1246,1035,1611,1514,1513,1390,1326,1319,1267,1266,1265,1214,1213,1207,1190,1160,1115,1064,1063,1024,1019,1018,1002,1001,985,936,920,910,879,878,877,871,870,869,868,855,854,834,833,829,822,821,819,816,815,812,795,794,759,758,757,756,740,688,687,686,685,684,683,682,680,1324,1323,1776,1775,1740,1725,1691,1670,1661,1660,1659,1643,1642,1641,1624,1623,1622,1621,1620,1524,1523,1522,1518,1500,1498,1495,1493,1492,1489,1488,1478,1398,1397,1396,1394,1383,1382,1369,1347,1283,1282,1278,1263,1228,1227,1223,1221,1220,1219,1218,1206,1193,1192,1170,1168,1162,1137,1136,1135,1046,1034,959,892,891,845,844,843,820,1769,1721,1715,1711,1696,1695,1689,1658,1657,1638,1637,1636,1635,1619,1618,1592,1591,1589,1588,1549,1548,1547,1546,1544,1535,1533,1532,1515,1477,1416,1406,1405,1290,1289,1288,1287,1286,1232,1231,1230,1726,1723,1697,1672,1671,1668,1667,982,1774,1752,1738,1737,1731,1730,1724,1410,1790,1779,1760,1690,1781,1799,1800,204,181,180,179,173,152,151,147,127,118,114,1212,1211,1210,1073,1029,1013,1009,954,932,767,801,818,817,1536,1069,835,776,754,1479,1465,1409,1381,1380,1379,1339,1294,1362,1129,1128,1083,1082,1081,1080,1056,790,1543,1542,1496,1108,1107,1106,1103,1102,789,788,733,731,730,729,1633,1632,1630,1629,1626,1509,1508,1507,1503,1502,1245,1051,1050,1049,1047,1780,1669,1279,1541,1540,1159,1123,1122,1121,1120,1015,958,957,903,832,800,707,689,678,1735,1545,1021,887,856,1610,1608,1604,1445,1443,1440,1439,1438,1433,1413,1412,1411,1385,1384,1297,1296,1225,1224,1204,1202,1199,1197,1165,883,876,724,722,1613,1612,1316,1306,1305,1304,1216,1215,1185,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,973,944,943,914,893,866,865,824,823,803,802,745,739,738,728,697,696,695,694,693,692,1602,1432,1315,1314,1313,1312,1311,988,987,986,811,804,1000,974,947,946,1647,1601,971,970,901,888,872,1688,989,1742,1741,1693,1692,1538,1537,1378,1229,881,1794,1792,1784,1782,1765,1764,1798,1797,1796,1795,1789,1788,1787,1763,1762,1171,966,1728,1033,1593,1727,1415,1414,1208,1126,1125,755,839,1706,1582,1434,1676,1674,1557,1555,1318,1310,1645,1644,1377,1375,1353,1745,1734,1682,1577,1687,1686,1685,1684,1683,1681,1680,1679,1678,1677,1651,1649,1648,1581,1579,1576,1575,1574,1573,1571,1570,1569,1567,1566,1127,1528,1527,1487,1484,1482,1481,1480,1472,1471,1470,1466,1464,1462,1460,1459,1457,1456,1454,1453,1452,1451,1450,1449,1447,1446,1188,980,924,923,908,1662,1712,1699,975,1714,1744,1732,1694,1335,1718,1553,1552,1551,1550,1299,1768,1750,1749,1777,1767,1766,1664,1665,1584,1583,1758,1346,1345,977,976,1705,1704,1703,1702,1701,1700,902,1748,1747,880,890,889,857,799,940,913])).
% 55.21/55.75 cnf(3921,plain,
% 55.21/55.75 (P7(f10(a1,f9(a1,f3(a1),a1)))),
% 55.21/55.75 inference(scs_inference,[],[3885,3190])).
% 55.21/55.75 cnf(3922,plain,
% 55.21/55.75 (E(x39221,f10(a1,f9(a1,f3(a1),x39221)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3924,plain,
% 55.21/55.75 (~E(f12(a69,x39241,f5(a1,f12(a1,f3(f72(a1)),f4(a1)))),x39241)),
% 55.21/55.75 inference(rename_variables,[],[3879])).
% 55.21/55.75 cnf(3926,plain,
% 55.21/55.75 (~E(f54(f54(f11(a69),x39261),f12(a69,f4(a69),f5(a1,f12(a1,f3(f72(a1)),f4(a1))))),f4(a69))),
% 55.21/55.75 inference(scs_inference,[],[3879,3924,3885,3190,828,827])).
% 55.21/55.75 cnf(3927,plain,
% 55.21/55.75 (~E(f12(a69,x39271,f5(a1,f12(a1,f3(f72(a1)),f4(a1)))),x39271)),
% 55.21/55.75 inference(rename_variables,[],[3879])).
% 55.21/55.75 cnf(3930,plain,
% 55.21/55.75 (~P10(a1,x39301,x39301)),
% 55.21/55.75 inference(rename_variables,[],[1813])).
% 55.21/55.75 cnf(3939,plain,
% 55.21/55.75 (E(x39391,f10(a1,f9(a1,f3(a1),x39391)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3941,plain,
% 55.21/55.75 (E(x39411,f10(a1,f9(a1,f3(a1),x39411)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3943,plain,
% 55.21/55.75 (E(x39431,f10(a1,f9(a1,f3(a1),x39431)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3945,plain,
% 55.21/55.75 (E(x39451,f10(a1,f9(a1,f3(a1),x39451)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3947,plain,
% 55.21/55.75 (E(x39471,f10(a1,f9(a1,f3(a1),x39471)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3949,plain,
% 55.21/55.75 (E(x39491,f10(a1,f9(a1,f3(a1),x39491)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3951,plain,
% 55.21/55.75 (E(x39511,f10(a1,f9(a1,f3(a1),x39511)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3953,plain,
% 55.21/55.75 (E(x39531,f10(a1,f9(a1,f3(a1),x39531)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3955,plain,
% 55.21/55.75 (E(x39551,f10(a1,f9(a1,f3(a1),x39551)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3957,plain,
% 55.21/55.75 (E(x39571,f10(a1,f9(a1,f3(a1),x39571)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3959,plain,
% 55.21/55.75 (E(x39591,f10(a1,f9(a1,f3(a1),x39591)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3961,plain,
% 55.21/55.75 (E(x39611,f10(a1,f9(a1,f3(a1),x39611)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3963,plain,
% 55.21/55.75 (E(x39631,f10(a1,f9(a1,f3(a1),x39631)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3965,plain,
% 55.21/55.75 (E(x39651,f10(a1,f9(a1,f3(a1),x39651)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3967,plain,
% 55.21/55.75 (E(x39671,f10(a1,f9(a1,f3(a1),x39671)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3969,plain,
% 55.21/55.75 (E(x39691,f10(a1,f9(a1,f3(a1),x39691)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3971,plain,
% 55.21/55.75 (E(x39711,f10(a1,f9(a1,f3(a1),x39711)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3973,plain,
% 55.21/55.75 (E(x39731,f10(a1,f9(a1,f3(a1),x39731)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3975,plain,
% 55.21/55.75 (E(x39751,f10(a1,f9(a1,f3(a1),x39751)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3977,plain,
% 55.21/55.75 (E(x39771,f10(a1,f9(a1,f3(a1),x39771)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3979,plain,
% 55.21/55.75 (E(x39791,f10(a1,f9(a1,f3(a1),x39791)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3981,plain,
% 55.21/55.75 (E(x39811,f10(a1,f9(a1,f3(a1),x39811)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3983,plain,
% 55.21/55.75 (E(x39831,f10(a1,f9(a1,f3(a1),x39831)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3985,plain,
% 55.21/55.75 (E(x39851,f10(a1,f9(a1,f3(a1),x39851)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3987,plain,
% 55.21/55.75 (E(x39871,f10(a1,f9(a1,f3(a1),x39871)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3989,plain,
% 55.21/55.75 (E(x39891,f10(a1,f9(a1,f3(a1),x39891)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3991,plain,
% 55.21/55.75 (E(x39911,f10(a1,f9(a1,f3(a1),x39911)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3993,plain,
% 55.21/55.75 (E(x39931,f10(a1,f9(a1,f3(a1),x39931)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3995,plain,
% 55.21/55.75 (E(x39951,f10(a1,f9(a1,f3(a1),x39951)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3997,plain,
% 55.21/55.75 (E(x39971,f10(a1,f9(a1,f3(a1),x39971)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(3999,plain,
% 55.21/55.75 (E(x39991,f10(a1,f9(a1,f3(a1),x39991)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4001,plain,
% 55.21/55.75 (E(x40011,f10(a1,f9(a1,f3(a1),x40011)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4003,plain,
% 55.21/55.75 (E(x40031,f10(a1,f9(a1,f3(a1),x40031)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4004,plain,
% 55.21/55.75 (P56(f10(a1,f9(a1,f3(a1),a1)))),
% 55.21/55.75 inference(scs_inference,[],[254,266,271,274,277,279,282,285,289,293,297,300,309,328,336,342,346,352,355,359,362,367,389,397,409,414,420,424,375,265,386,417,385,306,3879,3924,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,3213,1813,3409,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165])).
% 55.21/55.75 cnf(4005,plain,
% 55.21/55.75 (E(x40051,f10(a1,f9(a1,f3(a1),x40051)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4007,plain,
% 55.21/55.75 (E(x40071,f10(a1,f9(a1,f3(a1),x40071)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4008,plain,
% 55.21/55.75 (P50(f10(a1,f9(a1,f3(a1),a70)))),
% 55.21/55.75 inference(scs_inference,[],[254,266,271,274,277,279,282,285,289,293,297,300,309,312,328,336,342,346,352,355,359,362,367,389,397,409,414,420,424,375,265,386,417,385,306,250,3879,3924,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,3213,1813,3409,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163])).
% 55.21/55.75 cnf(4009,plain,
% 55.21/55.75 (E(x40091,f10(a1,f9(a1,f3(a1),x40091)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4011,plain,
% 55.21/55.75 (E(x40111,f10(a1,f9(a1,f3(a1),x40111)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4013,plain,
% 55.21/55.75 (E(x40131,f10(a1,f9(a1,f3(a1),x40131)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4015,plain,
% 55.21/55.75 (E(x40151,f10(a1,f9(a1,f3(a1),x40151)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4017,plain,
% 55.21/55.75 (E(x40171,f10(a1,f9(a1,f3(a1),x40171)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4018,plain,
% 55.21/55.75 (P48(f10(a1,f9(a1,f3(a1),a2)))),
% 55.21/55.75 inference(scs_inference,[],[254,266,271,274,277,279,282,285,289,293,297,300,309,312,328,336,342,346,352,355,359,362,367,380,389,397,409,414,420,424,375,262,265,321,386,417,395,248,385,306,250,3879,3924,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,3213,1813,3409,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158])).
% 55.21/55.75 cnf(4019,plain,
% 55.21/55.75 (E(x40191,f10(a1,f9(a1,f3(a1),x40191)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4021,plain,
% 55.21/55.75 (E(x40211,f10(a1,f9(a1,f3(a1),x40211)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4023,plain,
% 55.21/55.75 (E(x40231,f10(a1,f9(a1,f3(a1),x40231)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4025,plain,
% 55.21/55.75 (E(x40251,f10(a1,f9(a1,f3(a1),x40251)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4027,plain,
% 55.21/55.75 (E(x40271,f10(a1,f9(a1,f3(a1),x40271)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4029,plain,
% 55.21/55.75 (E(x40291,f10(a1,f9(a1,f3(a1),x40291)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4031,plain,
% 55.21/55.75 (E(x40311,f10(a1,f9(a1,f3(a1),x40311)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4033,plain,
% 55.21/55.75 (E(x40331,f10(a1,f9(a1,f3(a1),x40331)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4035,plain,
% 55.21/55.75 (E(x40351,f10(a1,f9(a1,f3(a1),x40351)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4037,plain,
% 55.21/55.75 (E(x40371,f10(a1,f9(a1,f3(a1),x40371)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4039,plain,
% 55.21/55.75 (E(x40391,f10(a1,f9(a1,f3(a1),x40391)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4040,plain,
% 55.21/55.75 (P30(f10(a1,f9(a1,f3(a1),a70)))),
% 55.21/55.75 inference(scs_inference,[],[232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,312,328,336,342,346,352,355,359,362,367,380,389,397,402,409,414,420,424,375,235,262,265,303,321,386,417,395,248,385,291,306,345,250,370,314,3879,3924,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,3213,1813,3409,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142])).
% 55.21/55.75 cnf(4041,plain,
% 55.21/55.75 (E(x40411,f10(a1,f9(a1,f3(a1),x40411)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4043,plain,
% 55.21/55.75 (E(x40431,f10(a1,f9(a1,f3(a1),x40431)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4045,plain,
% 55.21/55.75 (E(x40451,f10(a1,f9(a1,f3(a1),x40451)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4047,plain,
% 55.21/55.75 (E(x40471,f10(a1,f9(a1,f3(a1),x40471)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4049,plain,
% 55.21/55.75 (E(x40491,f10(a1,f9(a1,f3(a1),x40491)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4051,plain,
% 55.21/55.75 (E(x40511,f10(a1,f9(a1,f3(a1),x40511)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4053,plain,
% 55.21/55.75 (E(x40531,f10(a1,f9(a1,f3(a1),x40531)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4055,plain,
% 55.21/55.75 (E(x40551,f10(a1,f9(a1,f3(a1),x40551)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4057,plain,
% 55.21/55.75 (E(x40571,f10(a1,f9(a1,f3(a1),x40571)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4058,plain,
% 55.21/55.75 (P15(f10(a1,f9(a1,f3(a1),a1)))),
% 55.21/55.75 inference(scs_inference,[],[223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,312,325,328,333,336,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,375,219,227,235,262,265,303,321,386,417,395,373,248,385,291,306,345,250,320,370,314,3879,3924,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,3213,1813,3409,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129])).
% 55.21/55.75 cnf(4059,plain,
% 55.21/55.75 (E(x40591,f10(a1,f9(a1,f3(a1),x40591)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4061,plain,
% 55.21/55.75 (E(x40611,f10(a1,f9(a1,f3(a1),x40611)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4063,plain,
% 55.21/55.75 (E(x40631,f10(a1,f9(a1,f3(a1),x40631)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4065,plain,
% 55.21/55.75 (E(x40651,f10(a1,f9(a1,f3(a1),x40651)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4067,plain,
% 55.21/55.75 (E(x40671,f10(a1,f9(a1,f3(a1),x40671)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4068,plain,
% 55.21/55.75 (P43(f10(a1,f9(a1,f3(a1),a71)))),
% 55.21/55.75 inference(scs_inference,[],[216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,375,219,227,235,262,265,303,321,386,417,395,373,213,248,252,385,407,291,306,345,250,320,370,314,3879,3924,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,3213,1813,3409,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123])).
% 55.21/55.75 cnf(4069,plain,
% 55.21/55.75 (E(x40691,f10(a1,f9(a1,f3(a1),x40691)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4071,plain,
% 55.21/55.75 (E(x40711,f10(a1,f9(a1,f3(a1),x40711)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4073,plain,
% 55.21/55.75 (E(x40731,f10(a1,f9(a1,f3(a1),x40731)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4075,plain,
% 55.21/55.75 (E(x40751,f10(a1,f9(a1,f3(a1),x40751)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4077,plain,
% 55.21/55.75 (E(x40771,f10(a1,f9(a1,f3(a1),x40771)))),
% 55.21/55.75 inference(rename_variables,[],[3885])).
% 55.21/55.75 cnf(4078,plain,
% 55.21/55.75 (~P9(a1,f3(a1),f26(a1,f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))))),
% 55.21/55.75 inference(scs_inference,[],[211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,375,219,227,235,262,265,303,321,386,417,395,373,213,248,252,385,206,407,209,291,306,345,250,320,370,314,286,3879,3924,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2200,3213,1813,3409,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183])).
% 55.21/55.75 cnf(4084,plain,
% 55.21/55.75 (P9(a1,x40841,x40841)),
% 55.21/55.75 inference(rename_variables,[],[447])).
% 55.21/55.75 cnf(4090,plain,
% 55.21/55.75 (P13(f72(a1),f54(f54(f21(f72(a1)),f18(a1,f10(a1,x40901),f18(a1,f4(a1),f3(f72(a1))))),f19(a1,x40901,f54(f54(f21(f72(a1)),f18(a1,f10(a1,x40902),f18(a1,f4(a1),f3(f72(a1))))),f19(a1,x40902,f10(f72(a1),x40903))))),x40903)),
% 55.21/55.75 inference(scs_inference,[],[211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,375,447,219,227,235,262,265,303,321,386,417,395,373,213,248,252,385,206,407,209,291,306,345,250,320,370,314,286,3879,3924,3927,1981,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2200,3176,2636,3255,3213,1813,2655,2338,3409,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241])).
% 55.21/55.75 cnf(4093,plain,
% 55.21/55.75 (~P10(a1,f12(a1,f8(a1,x40931),f4(a1)),x40931)),
% 55.21/55.75 inference(rename_variables,[],[603])).
% 55.21/55.75 cnf(4095,plain,
% 55.21/55.75 (~P10(a1,f54(f54(f11(a1),f4(a1)),f28(a2,a83)),f54(f54(f11(a1),a81),f28(a2,a83)))),
% 55.21/55.75 inference(scs_inference,[],[211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,526,375,447,219,227,235,262,265,303,321,386,417,603,395,373,213,248,252,385,206,407,209,392,291,306,345,250,320,370,314,286,3879,3924,3927,1981,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2200,3176,2636,3255,3213,1813,3930,2655,2338,3409,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237])).
% 55.21/55.75 cnf(4096,plain,
% 55.21/55.75 (~P10(a1,x40961,x40961)),
% 55.21/55.75 inference(rename_variables,[],[1813])).
% 55.21/55.75 cnf(4099,plain,
% 55.21/55.75 (~P10(a1,x40991,x40991)),
% 55.21/55.75 inference(rename_variables,[],[1813])).
% 55.21/55.75 cnf(4102,plain,
% 55.21/55.75 (~P10(a1,f12(a1,f8(a1,x41021),f4(a1)),x41021)),
% 55.21/55.75 inference(rename_variables,[],[603])).
% 55.21/55.75 cnf(4109,plain,
% 55.21/55.75 (P10(a70,x41091,f12(a70,x41092,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x41092,x41091)),f4(a70))),f4(a70))))),
% 55.21/55.75 inference(rename_variables,[],[2408])).
% 55.21/55.75 cnf(4113,plain,
% 55.21/55.75 (P9(a1,f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78)),f3(a1))),
% 55.21/55.75 inference(scs_inference,[],[211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,526,576,553,375,447,219,227,235,262,265,303,321,386,417,463,603,4093,395,373,213,248,252,385,206,407,209,392,291,306,345,403,250,320,370,314,286,249,3879,3924,3927,1981,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2200,3176,2636,3255,3213,1813,3930,4096,3666,3794,2408,2091,2655,2338,2657,3409,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483])).
% 55.21/55.75 cnf(4114,plain,
% 55.21/55.75 (P9(a1,f3(a1),f54(f54(f11(a1),x41141),x41141))),
% 55.21/55.75 inference(rename_variables,[],[2657])).
% 55.21/55.75 cnf(4117,plain,
% 55.21/55.75 (~P10(a1,x41171,x41171)),
% 55.21/55.75 inference(rename_variables,[],[1813])).
% 55.21/55.75 cnf(4120,plain,
% 55.21/55.75 (P9(a69,f3(a69),x41201)),
% 55.21/55.75 inference(rename_variables,[],[463])).
% 55.21/55.75 cnf(4121,plain,
% 55.21/55.75 (P9(a69,x41211,x41211)),
% 55.21/55.75 inference(rename_variables,[],[448])).
% 55.21/55.75 cnf(4124,plain,
% 55.21/55.75 (P9(a69,f3(a69),x41241)),
% 55.21/55.75 inference(rename_variables,[],[463])).
% 55.21/55.75 cnf(4125,plain,
% 55.21/55.75 (P9(a69,x41251,x41251)),
% 55.21/55.75 inference(rename_variables,[],[448])).
% 55.21/55.75 cnf(4128,plain,
% 55.21/55.75 (P9(a69,x41281,f12(a69,x41282,x41281))),
% 55.21/55.75 inference(rename_variables,[],[495])).
% 55.21/55.75 cnf(4131,plain,
% 55.21/55.75 (P9(a69,x41311,f12(a69,x41312,x41311))),
% 55.21/55.75 inference(rename_variables,[],[495])).
% 55.21/55.75 cnf(4132,plain,
% 55.21/55.75 (~P9(a69,f12(a69,f5(a2,a73),x41321),x41321)),
% 55.21/55.75 inference(rename_variables,[],[2174])).
% 55.21/55.75 cnf(4136,plain,
% 55.21/55.75 (P9(a1,f4(a1),f26(a1,a81))),
% 55.21/55.75 inference(scs_inference,[],[211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,526,576,553,375,563,447,448,4121,4125,219,227,235,262,265,303,321,386,417,463,4120,583,495,4128,603,4093,395,373,213,248,252,385,393,206,407,209,392,291,306,345,403,250,320,370,208,314,286,455,249,3879,3924,3927,3209,1916,1981,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3176,2636,3255,3213,1813,3930,4096,4099,3666,3794,2174,2408,2091,2655,2338,2657,3409,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330])).
% 55.21/55.75 cnf(4138,plain,
% 55.21/55.75 (P9(f72(a1),x41381,f8(f72(a1),x41381))),
% 55.21/55.75 inference(scs_inference,[],[211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,526,576,553,375,563,447,448,4121,4125,219,227,235,262,265,303,321,386,417,463,4120,583,495,4128,603,4093,395,373,213,248,252,385,393,206,407,209,392,291,306,345,403,250,320,370,208,314,286,455,249,3879,3924,3927,3209,1916,1981,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3176,2636,3255,3213,1813,3930,4096,4099,3666,3794,2174,2408,2091,2655,2330,2338,2657,3409,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853])).
% 55.21/55.75 cnf(4156,plain,
% 55.21/55.75 (~E(f5(a2,a73),f3(a69))),
% 55.21/55.75 inference(scs_inference,[],[211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,526,576,553,375,563,447,448,4121,4125,219,227,235,262,265,303,321,386,417,463,4120,583,495,4128,603,4093,395,373,213,248,252,385,393,206,407,209,392,291,306,345,403,250,320,370,208,314,286,504,455,249,3879,3924,3927,3209,1916,1981,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3176,2636,3255,3213,1813,3930,4096,4099,3666,3794,2174,2408,2091,2655,2330,2338,2657,3409,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864])).
% 55.21/55.75 cnf(4160,plain,
% 55.21/55.75 (~P9(a1,f8(a1,f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74))),
% 55.21/55.75 inference(scs_inference,[],[607,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,526,576,553,375,563,447,448,4121,4125,219,227,235,262,265,303,321,386,417,463,4120,583,495,4128,601,603,4093,395,373,213,248,252,385,393,206,407,209,392,291,306,345,403,250,320,370,208,314,286,504,455,249,3879,3924,3927,3209,1916,1981,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3176,2636,3255,3213,1813,3930,4096,4099,3666,3794,2174,2408,2091,2655,2330,2338,2657,3409,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078])).
% 55.21/55.75 cnf(4162,plain,
% 55.21/55.75 (~E(f12(a69,a78,f4(a69)),f12(a69,f5(a2,a73),x41621))),
% 55.21/55.75 inference(scs_inference,[],[607,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,526,576,553,375,563,447,448,4121,4125,219,227,235,262,265,303,321,386,417,463,4120,583,495,4128,601,603,4093,395,373,213,248,252,385,393,206,407,209,392,291,306,345,403,250,320,370,208,314,286,504,455,249,3879,3924,3927,3209,1916,1981,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3176,2636,3255,3213,1813,3930,4096,4099,3666,3794,2174,2408,2091,2655,2330,2338,2657,3409,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004])).
% 55.21/55.75 cnf(4173,plain,
% 55.21/55.75 (P10(a1,f12(a1,x41731,f10(a1,f12(a1,f27(a69,f25(f10(a1,f10(a1,x41731)))),f4(a1)))),f3(a1))),
% 55.21/55.75 inference(scs_inference,[],[607,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,526,576,553,375,563,447,448,4121,4125,219,227,235,262,265,303,321,386,417,463,4120,583,495,4128,601,603,4093,395,373,213,248,252,385,393,206,407,209,392,291,306,345,403,250,320,370,208,314,286,504,455,249,1912,3879,3924,3927,3209,1916,1981,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3176,2636,3255,3213,1813,3930,4096,4099,3666,3794,2174,2408,2091,2655,1990,3417,2330,2338,2657,3409,3752,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325])).
% 55.21/55.75 cnf(4174,plain,
% 55.21/55.75 (P10(a1,f10(a1,f12(a1,f27(a69,f25(f10(a1,x41741))),f4(a1))),x41741)),
% 55.21/55.75 inference(rename_variables,[],[3417])).
% 55.21/55.75 cnf(4180,plain,
% 55.21/55.75 (P11(x41801,x41802,f54(f11(a69),f14(f3(a1))))),
% 55.21/55.75 inference(scs_inference,[],[607,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,526,576,553,375,563,447,448,4121,4125,219,227,235,262,265,303,321,386,417,463,4120,583,495,4128,601,603,4093,395,373,213,248,252,385,393,206,407,209,392,291,306,345,403,250,320,370,208,314,286,504,455,249,2799,1912,3879,3924,3927,3209,1916,1981,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3176,2636,3255,3213,1813,3930,4096,4099,3666,3794,2174,3335,2408,2091,2655,1990,3417,2330,2338,2657,3409,3752,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959])).
% 55.21/55.75 cnf(4184,plain,
% 55.21/55.75 (P9(a69,f3(a69),x41841)),
% 55.21/55.75 inference(rename_variables,[],[463])).
% 55.21/55.75 cnf(4186,plain,
% 55.21/55.75 (~P10(a1,f26(a1,f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74)),a55)),
% 55.21/55.75 inference(scs_inference,[],[607,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,526,562,576,553,375,563,447,448,4121,4125,219,227,235,262,265,303,321,386,417,463,4120,4124,583,495,4128,601,603,4093,395,373,213,248,252,385,393,206,407,209,392,291,306,345,403,250,320,370,208,314,286,504,455,249,2799,1912,3879,3924,3927,3209,1916,1981,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3176,2636,3255,3213,1813,3930,4096,4099,3666,3794,2174,3335,2408,2091,2655,1990,3417,2330,2338,2657,3409,3752,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099])).
% 55.21/55.75 cnf(4190,plain,
% 55.21/55.75 (~P10(a71,f5(a2,a73),f5(a2,a32))),
% 55.21/55.75 inference(scs_inference,[],[607,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,526,562,576,553,375,563,447,448,4121,4125,219,227,235,262,265,303,321,386,417,463,4120,4124,583,495,4128,601,603,4093,395,373,213,248,252,385,393,206,407,209,392,291,306,345,403,250,320,370,208,314,286,504,455,249,3756,3243,2799,1912,3879,3924,3927,3209,1916,1981,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3176,2636,3255,3213,1813,3930,4096,4099,3666,3794,2174,3335,2408,2091,2655,1990,3417,2330,2338,2657,3409,3752,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900])).
% 55.21/55.75 cnf(4195,plain,
% 55.21/55.75 (P9(a1,x41951,x41951)),
% 55.21/55.75 inference(rename_variables,[],[447])).
% 55.21/55.75 cnf(4199,plain,
% 55.21/55.75 (P13(a1,x41991,f8(a1,x41991))),
% 55.21/55.75 inference(scs_inference,[],[607,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,526,562,576,553,375,563,447,4084,448,4121,4125,219,227,235,262,265,303,321,386,417,463,4120,4124,583,495,4128,601,603,4093,395,373,213,248,252,385,393,206,407,209,392,291,306,345,403,250,320,370,208,314,286,504,455,585,249,3756,3243,2799,1912,3879,3924,3927,3209,1916,1981,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3176,2636,3255,3213,1813,3930,4096,4099,2232,3666,3794,2174,3335,2408,2091,2655,1990,3417,2330,2338,2657,3409,3752,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133])).
% 55.21/55.75 cnf(4208,plain,
% 55.21/55.75 (P9(a69,x42081,f12(a69,x42082,x42081))),
% 55.21/55.75 inference(rename_variables,[],[495])).
% 55.21/55.75 cnf(4209,plain,
% 55.21/55.75 (~P9(a69,f12(a69,f5(a2,a73),x42091),x42091)),
% 55.21/55.75 inference(rename_variables,[],[2174])).
% 55.21/55.75 cnf(4221,plain,
% 55.21/55.75 (~P10(a70,f3(a70),f9(a70,f3(a70),f4(a70)))),
% 55.21/55.75 inference(scs_inference,[],[607,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,576,553,375,563,447,4084,448,4121,4125,219,227,235,262,265,303,316,321,386,417,463,4120,4124,583,495,4128,4131,601,603,4093,395,373,213,248,252,385,393,206,259,407,396,209,392,291,306,345,403,250,320,370,208,314,286,504,472,455,585,249,3756,3243,2799,1912,3879,3924,3927,3209,1916,1981,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,3176,2636,3255,3213,1813,3930,4096,4099,2232,3666,3794,3702,2174,4132,3335,2408,2091,2655,1990,3417,2330,2332,2338,2386,2657,3409,3752,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509])).
% 55.21/55.75 cnf(4252,plain,
% 55.21/55.75 (P10(a1,x42521,f12(a1,f27(a69,f25(x42521)),f4(a1)))),
% 55.21/55.75 inference(rename_variables,[],[515])).
% 55.21/55.75 cnf(4256,plain,
% 55.21/55.75 (P10(a70,x42561,f10(a70,f9(a70,x42562,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x42562,f10(a70,x42561))),f4(a70))),f4(a70)))))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,576,442,553,375,563,447,4084,448,4121,4125,219,227,235,262,265,303,316,321,386,417,463,4120,4124,583,588,495,4128,4131,601,603,4093,515,395,373,213,248,252,385,393,206,259,407,396,209,392,291,306,345,382,403,372,250,320,370,208,314,381,286,504,472,455,585,249,3756,3243,2799,2022,1912,3879,3924,3927,3209,1916,1981,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,3176,2636,3255,3213,3231,1813,3930,4096,4099,2232,3666,3794,3702,2174,4132,3335,2406,2408,2091,2655,1990,3417,2330,2332,2338,2386,2657,3409,3752,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195])).
% 55.21/55.75 cnf(4257,plain,
% 55.21/55.75 (P10(a70,f9(a70,x42571,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x42571,x42572)),f4(a70))),f4(a70))),x42572)),
% 55.21/55.75 inference(rename_variables,[],[2406])).
% 55.21/55.75 cnf(4259,plain,
% 55.21/55.75 (P9(a1,f10(a1,f54(f54(f11(a1),f4(a1)),f28(a2,a83))),f10(a1,f54(f54(f11(a1),a81),f28(a2,a83))))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,576,442,553,375,563,447,4084,448,4121,4125,219,227,235,262,265,303,316,321,386,417,463,4120,4124,583,588,495,4128,4131,601,603,4093,515,395,373,213,248,252,385,393,206,259,407,396,209,392,291,306,345,382,403,372,250,320,370,208,314,381,286,504,472,455,585,249,3756,3243,2799,2022,1912,3879,3924,3927,3209,1916,1981,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,3176,2636,3255,3213,3231,1813,3930,4096,4099,2232,3666,3794,3702,2174,4132,3335,2406,2408,2091,2655,1990,3417,2330,2332,2338,2386,2657,3409,3752,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165])).
% 55.21/55.75 cnf(4267,plain,
% 55.21/55.75 (~E(f10(a70,f10(a70,f12(a70,f4(a70),f10(a70,x42671)))),x42671)),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,576,442,553,375,563,447,4084,448,4121,4125,219,227,235,262,265,303,316,321,386,417,463,4120,4124,583,588,495,4128,4131,601,603,4093,515,395,373,213,248,252,385,393,206,259,407,396,209,392,291,306,345,382,403,372,250,320,370,208,314,381,286,504,472,455,585,249,3756,3243,2799,2022,1912,2573,3879,3924,3927,3209,1916,1981,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,3176,2636,3255,3213,3231,1813,3930,4096,4099,2232,3666,3794,3702,2174,4132,3335,2406,2408,2091,2655,1990,3417,2330,2332,2338,2386,2657,3409,3752,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724])).
% 55.21/55.75 cnf(4270,plain,
% 55.21/55.75 (P9(a69,x42701,x42701)),
% 55.21/55.75 inference(rename_variables,[],[448])).
% 55.21/55.75 cnf(4275,plain,
% 55.21/55.75 (P9(a69,x42751,x42751)),
% 55.21/55.75 inference(rename_variables,[],[448])).
% 55.21/55.75 cnf(4277,plain,
% 55.21/55.75 (P10(a1,f3(a1),f12(a1,f27(a69,f25(f10(a1,f3(a1)))),f4(a1)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,576,442,553,375,563,447,4084,448,4121,4125,4270,219,227,235,262,265,303,316,321,386,417,463,4120,4124,583,588,495,4128,4131,601,603,4093,515,395,373,213,248,252,385,393,206,259,407,396,209,392,291,306,345,382,403,372,250,320,370,208,314,381,286,504,472,455,331,585,249,3756,3243,2799,2022,1912,2573,3879,3924,3927,3209,1916,1981,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,3176,2636,3255,3213,3231,1813,3930,4096,4099,2232,3666,3794,3702,2174,4132,4209,3335,2406,2408,2091,2655,1990,3417,4174,2330,2332,2338,2386,2657,3409,3752,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184])).
% 55.21/55.75 cnf(4278,plain,
% 55.21/55.75 (P10(a1,f10(a1,f12(a1,f27(a69,f25(f10(a1,x42781))),f4(a1))),x42781)),
% 55.21/55.75 inference(rename_variables,[],[3417])).
% 55.21/55.75 cnf(4280,plain,
% 55.21/55.75 (P10(a1,f3(a1),f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,576,442,553,375,563,447,4084,448,4121,4125,4270,219,227,235,262,265,303,316,321,386,417,463,4120,4124,583,588,495,4128,4131,601,603,4093,515,395,373,213,248,252,385,393,206,259,407,396,209,392,291,306,345,382,403,372,250,320,370,208,314,381,286,504,472,455,331,585,249,3756,3243,2799,2022,1912,2573,3879,3924,3927,3209,1916,1981,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,3176,2636,3255,3213,3231,1813,3930,4096,4099,2232,3666,3794,3702,2174,4132,4209,3335,2406,2408,2091,2655,1990,3417,4174,2330,2332,2338,2386,2657,3409,3752,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180])).
% 55.21/55.75 cnf(4282,plain,
% 55.21/55.75 (P9(a1,f26(a1,f4(a1)),f4(a1))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,576,442,553,375,563,447,4084,4195,448,4121,4125,4270,219,227,235,262,265,303,316,321,386,417,463,4120,4124,583,588,495,4128,4131,601,603,4093,515,395,373,213,248,252,385,393,206,259,407,396,209,392,291,306,345,382,403,372,250,320,370,208,314,381,286,504,472,455,331,585,249,3756,3243,2799,2022,1912,2573,3879,3924,3927,3209,1916,1981,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,3176,2636,3255,3213,3231,1813,3930,4096,4099,2232,3666,3794,3702,2174,4132,4209,3335,2406,2408,2091,2655,1990,3417,4174,2330,2332,2338,2386,2657,3409,3752,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154])).
% 55.21/55.75 cnf(4284,plain,
% 55.21/55.75 (~E(f18(a2,f54(f15(a2,a80),f3(a2)),x42841),f3(f72(a2)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,576,442,553,375,563,447,4084,4195,448,4121,4125,4270,219,227,235,262,265,303,316,321,386,417,463,4120,4124,583,588,495,4128,4131,601,603,4093,515,395,373,213,248,252,385,393,206,259,407,396,209,392,291,306,345,382,403,372,250,320,370,208,314,381,286,504,472,455,331,585,249,3756,3243,2799,2022,1912,2573,3879,3924,3927,3209,1916,1981,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,3176,2636,3255,3213,3231,1813,3930,4096,4099,2232,3666,3794,3702,2174,4132,4209,3335,2406,2408,2091,2655,1990,3417,4174,2330,2332,2338,2386,2657,3409,3752,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944])).
% 55.21/55.75 cnf(4297,plain,
% 55.21/55.75 (E(f10(a70,f10(a70,x42971)),x42971)),
% 55.21/55.75 inference(rename_variables,[],[442])).
% 55.21/55.75 cnf(4308,plain,
% 55.21/55.75 (E(f10(a70,f10(a70,x43081)),x43081)),
% 55.21/55.75 inference(rename_variables,[],[442])).
% 55.21/55.75 cnf(4310,plain,
% 55.21/55.75 (E(f54(f54(f11(f10(a1,f9(a1,f3(a1),a1))),f26(f10(a1,f9(a1,f3(a1),a1)),f12(a69,f3(f10(a1,f9(a1,f3(a1),a1))),f5(a1,f12(a1,f3(f72(a1)),f4(a1)))))),f12(a69,f3(f10(a1,f9(a1,f3(a1),a1))),f5(a1,f12(a1,f3(f72(a1)),f4(a1))))),f4(f10(a1,f9(a1,f3(a1),a1))))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,576,442,4297,478,517,553,375,563,447,4084,4195,448,4121,4125,4270,219,227,235,262,265,303,316,321,386,387,417,463,4120,4124,583,588,495,4128,4131,601,603,4093,515,395,373,213,248,252,385,393,206,259,407,396,209,392,291,306,345,382,403,372,250,258,320,370,208,314,381,286,504,344,472,455,331,585,249,3756,3243,2799,2022,1912,3758,3529,2573,3879,3924,3927,3209,1916,1981,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,3176,2636,3255,3213,3231,1813,3930,4096,4099,2232,3666,3794,3702,2174,4132,4209,3335,2406,2408,2091,2655,1990,3417,4174,2330,2332,2338,2386,2657,3409,3752,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971])).
% 55.21/55.75 cnf(4323,plain,
% 55.21/55.75 (P9(a69,x43231,f12(a69,x43232,x43231))),
% 55.21/55.75 inference(rename_variables,[],[495])).
% 55.21/55.75 cnf(4326,plain,
% 55.21/55.75 (P10(a69,f12(a69,x43261,f12(a69,a78,f4(a69))),f12(a69,x43261,f5(a2,a73)))),
% 55.21/55.75 inference(rename_variables,[],[3391])).
% 55.21/55.75 cnf(4331,plain,
% 55.21/55.75 (~E(f12(a69,f54(f54(f11(a69),x43311),x43312),f3(a2)),f12(a69,f54(f54(f11(a69),x43311),x43312),f12(a69,f54(f54(f11(a69),f9(a69,x43311,x43311)),x43312),a83)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,576,442,4297,478,517,553,375,563,447,4084,4195,448,4121,4125,4270,4275,219,227,235,262,265,303,316,321,386,387,417,463,4120,4124,583,588,495,4128,4131,4208,601,479,603,4093,515,395,373,213,248,252,385,393,206,259,407,396,209,392,291,306,307,345,382,403,372,250,258,320,370,208,314,381,286,504,344,472,455,331,585,249,3756,3243,2799,2022,1912,3758,3529,2573,3879,3924,3927,3209,1916,1981,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,3176,2636,3255,3213,3231,2665,1813,3930,4096,4099,2232,3666,3794,3702,2174,4132,4209,3335,2406,2408,2091,2655,1990,3417,4174,3391,4326,2330,2332,2338,2386,2657,3409,3752,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756])).
% 55.21/55.75 cnf(4332,plain,
% 55.21/55.75 (~E(f12(a69,x43321,f3(a2)),f12(a69,x43321,a83))),
% 55.21/55.75 inference(rename_variables,[],[2665])).
% 55.21/55.75 cnf(4338,plain,
% 55.21/55.75 (~P9(a1,f12(a1,f54(f54(f11(a1),x43381),x43382),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))),f12(a1,f54(f54(f11(a1),x43383),x43382),f12(a1,f54(f54(f11(a1),f9(a1,x43381,x43383)),x43382),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74))))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,576,442,4297,478,517,553,375,563,447,4084,4195,448,4121,4125,4270,4275,219,227,235,262,265,303,316,321,386,387,417,463,4120,4124,583,588,495,4128,4131,4208,601,479,603,4093,515,395,373,213,248,252,385,393,206,259,407,396,209,392,291,306,307,345,382,403,372,250,258,320,370,208,314,381,286,504,344,472,455,331,585,249,3756,3243,2799,2022,1912,3758,3529,2573,3879,3924,3927,3209,1916,1981,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,3176,2636,3255,3213,3231,2665,1813,3930,4096,4099,2232,3666,3794,3702,2174,4132,4209,3335,2406,2408,2091,2655,1990,3417,4174,3391,4326,3379,2330,2332,2338,2386,2657,3409,3752,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789])).
% 55.21/55.75 cnf(4342,plain,
% 55.21/55.75 (~P9(a1,f12(a1,f54(f54(f11(a1),x43421),x43422),f12(a1,f54(f54(f11(a1),f9(a1,x43423,x43421)),x43422),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))))),f12(a1,f54(f54(f11(a1),x43423),x43422),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,576,442,4297,478,517,553,375,563,447,4084,4195,448,4121,4125,4270,4275,219,227,235,262,265,303,316,321,386,387,417,463,4120,4124,583,588,495,4128,4131,4208,601,479,603,4093,515,395,373,213,248,252,385,393,206,259,407,396,209,392,291,306,307,345,382,403,372,250,258,320,370,208,314,381,286,504,344,472,455,331,585,249,3756,3243,2799,2022,1912,3758,3529,2573,3879,3924,3927,3209,1916,1981,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,3176,2636,3255,3213,3231,2665,1813,3930,4096,4099,4117,2232,3666,3794,3702,2174,4132,4209,3335,2406,2408,2091,2655,1990,3417,4174,3391,4326,3379,2330,2332,2338,2386,2657,3409,3752,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787])).
% 55.21/55.75 cnf(4347,plain,
% 55.21/55.75 (E(f12(a70,x43471,f12(a70,x43472,x43473)),f12(a70,x43472,f12(a70,x43471,x43473)))),
% 55.21/55.75 inference(rename_variables,[],[519])).
% 55.21/55.75 cnf(4355,plain,
% 55.21/55.75 (P12(a1,f54(f54(f11(f72(a1)),f54(f54(f11(f72(a1)),f18(a1,a81,f14(f27(a69,f3(f72(a1)))))),f18(a1,a81,f14(f27(a69,f3(f72(a1))))))),f54(f54(f11(f72(a1)),f18(a1,a81,f14(f27(a69,f3(f72(a1)))))),f18(a1,a81,f14(f27(a69,f3(f72(a1))))))))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,576,442,4297,4308,478,517,519,553,375,563,447,4084,4195,448,4121,4125,4270,4275,219,227,235,262,265,303,316,321,386,387,417,463,4120,4124,583,588,495,4128,4131,4208,601,479,603,4093,515,395,373,213,248,252,385,393,206,259,407,396,209,392,291,306,307,345,382,403,372,250,258,320,370,208,314,381,286,504,344,472,455,331,585,249,3756,3243,2799,2022,1912,3758,3529,2573,3879,3924,3927,3209,1916,1981,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,3176,2636,3255,3213,3231,2665,1813,3930,4096,4099,4117,2232,3666,3794,3702,2174,4132,4209,3335,2406,2408,2091,2655,1990,2648,3417,4174,3391,4326,3379,2330,2332,2338,2386,3742,2657,3638,3409,3752,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208])).
% 55.21/55.75 cnf(4361,plain,
% 55.21/55.75 (~E(f9(a69,f54(f54(f11(a69),f5(a1,f12(a1,f3(f72(a1)),f4(a1)))),f5(a1,f12(a1,f3(f72(a1)),f4(a1)))),f3(a69)),f9(a69,f3(a69),f3(a69)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,576,442,4297,4308,478,517,519,553,375,563,447,4084,4195,448,4121,4125,4270,4275,219,227,235,262,265,303,316,321,386,387,417,463,4120,4124,4184,583,588,495,4128,4131,4208,601,479,603,4093,515,395,373,213,248,252,385,393,206,259,407,396,209,392,291,306,307,345,382,403,372,250,258,320,370,208,314,381,286,504,344,472,455,331,585,249,3756,3243,2799,2022,1912,3758,3529,2573,3879,3924,3927,3209,1916,1981,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,3176,2636,3255,3213,3231,2665,1813,3930,4096,4099,4117,2232,3666,3794,3702,2174,4132,4209,3335,2406,2408,2091,2655,1990,2648,3417,4174,3391,4326,3379,2330,2332,2338,2386,3742,2657,3638,3409,3752,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408])).
% 55.21/55.75 cnf(4362,plain,
% 55.21/55.75 (P9(a69,f3(a69),x43621)),
% 55.21/55.75 inference(rename_variables,[],[463])).
% 55.21/55.75 cnf(4363,plain,
% 55.21/55.75 (P9(a69,x43631,x43631)),
% 55.21/55.75 inference(rename_variables,[],[448])).
% 55.21/55.75 cnf(4369,plain,
% 55.21/55.75 (~P12(a1,f18(a1,f27(a69,f25(f3(a1))),f9(a69,f12(a69,f3(f72(a1)),x43691),x43691)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,576,442,4297,4308,478,517,519,553,375,563,447,4084,4195,448,4121,4125,4270,4275,219,227,235,262,265,303,316,321,386,387,417,463,4120,4124,4184,583,588,495,4128,4131,4208,601,479,603,4093,515,395,373,213,248,252,385,393,206,259,516,407,396,209,383,392,291,306,307,345,382,403,372,250,258,320,370,208,314,381,286,504,344,472,455,331,585,249,1945,3756,3243,2799,2022,1912,3758,3529,2573,3879,3924,3927,3209,1916,1981,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,3176,2636,3255,3213,3231,2665,1813,3930,4096,4099,4117,2232,3666,3794,3702,2174,4132,4209,3335,2406,2408,2091,2655,1990,2648,3417,4174,3391,4326,3379,2330,2332,2338,2386,3742,2657,3638,3409,3752,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318])).
% 55.21/55.75 cnf(4374,plain,
% 55.21/55.75 (~P10(a1,f27(a69,x43741),f3(a1))),
% 55.21/55.75 inference(rename_variables,[],[599])).
% 55.21/55.75 cnf(4394,plain,
% 55.21/55.75 (P9(a1,f12(a1,f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74),f10(a1,f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))))),f3(a1))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,576,442,4297,4308,478,517,519,553,375,563,447,4084,4195,448,4121,4125,4270,4275,219,227,235,262,265,303,316,321,386,387,417,463,4120,4124,4184,583,588,495,4128,4131,4208,601,479,603,4093,4102,515,395,373,213,248,252,385,393,206,259,516,407,396,209,383,392,291,306,307,345,382,403,372,250,258,320,251,370,208,314,599,381,286,504,344,472,455,331,585,249,1945,3756,3243,2799,2022,1912,3758,3529,2573,3879,3924,3927,3209,1916,1981,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,3176,2636,3255,3213,3231,2665,1813,3930,4096,4099,4117,2232,3666,3794,3702,2174,4132,4209,3335,2406,2408,4109,2091,2655,1990,2648,3417,4174,3391,4326,3379,2330,2332,2338,2386,3742,2657,4114,3638,3409,3752,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484])).
% 55.21/55.75 cnf(4400,plain,
% 55.21/55.75 (P10(a1,x44001,f12(a1,f27(a69,f25(x44001)),f4(a1)))),
% 55.21/55.75 inference(rename_variables,[],[515])).
% 55.21/55.75 cnf(4402,plain,
% 55.21/55.75 (P10(a1,f3(a1),f54(f54(f11(a1),f26(a1,f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74))),f26(a1,f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74))))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,576,442,4297,4308,478,517,519,553,375,563,447,4084,4195,448,4121,4125,4270,4275,219,227,235,262,265,303,316,321,386,387,417,463,4120,4124,4184,583,588,495,4128,4131,4208,601,479,603,4093,4102,515,4252,395,373,213,248,252,385,393,206,259,516,407,396,209,383,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,314,599,381,286,504,344,472,455,331,585,249,1945,3756,3243,2799,2022,1912,3768,3758,3529,2573,3879,3924,3927,3209,1916,1981,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,3176,2636,3255,3213,3231,2665,1813,3930,4096,4099,4117,2232,3666,3794,3702,2174,4132,4209,3335,2406,2408,4109,2091,2655,1990,2648,3417,4174,3391,4326,3379,2330,2332,2338,2386,3742,2657,4114,3638,3409,3752,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450])).
% 55.21/55.75 cnf(4407,plain,
% 55.21/55.75 (P10(a1,x44071,f12(a1,f27(a69,f25(x44071)),f4(a1)))),
% 55.21/55.75 inference(rename_variables,[],[515])).
% 55.21/55.75 cnf(4411,plain,
% 55.21/55.75 (~P10(a1,f27(a69,x44111),f3(a1))),
% 55.21/55.75 inference(rename_variables,[],[599])).
% 55.21/55.75 cnf(4415,plain,
% 55.21/55.75 (P10(a1,x44151,f12(a1,f27(a69,f25(x44151)),f4(a1)))),
% 55.21/55.75 inference(rename_variables,[],[515])).
% 55.21/55.75 cnf(4419,plain,
% 55.21/55.75 (~P10(a70,f3(a70),f12(a70,f54(f54(f11(a70),f12(a70,f10(a70,x44191),x44191)),f12(a70,f10(a70,x44191),x44191)),f54(f54(f11(a70),f12(a70,f10(a70,x44191),x44191)),f12(a70,f10(a70,x44191),x44191))))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,576,442,4297,4308,478,517,519,553,375,563,447,4084,4195,448,4121,4125,4270,4275,219,227,235,262,265,303,316,321,386,387,417,463,4120,4124,4184,583,588,495,4128,4131,4208,601,479,603,4093,4102,515,4252,4400,4407,395,373,213,248,252,385,454,458,393,206,259,516,407,396,209,383,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,314,599,4374,381,286,504,287,344,472,455,331,585,249,1945,3756,3243,2799,2022,1912,3768,3758,3529,2573,3879,3924,3927,3209,1916,1981,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,3176,2636,3255,3213,3231,2665,1813,3930,4096,4099,4117,2232,3666,3794,3702,2174,4132,4209,3335,3849,2406,2408,4109,2091,2655,1990,2648,3417,4174,3391,4326,3379,2330,2332,2338,2386,3742,2473,3762,2657,4114,3638,3409,3752,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744])).
% 55.21/55.75 cnf(4423,plain,
% 55.21/55.75 (P10(a1,x44231,f12(a1,f27(a69,f25(x44231)),f4(a1)))),
% 55.21/55.75 inference(rename_variables,[],[515])).
% 55.21/55.75 cnf(4439,plain,
% 55.21/55.75 (P10(a1,f54(f54(f11(a1),a55),f27(a69,x44391)),f54(f54(f11(a1),f26(a1,f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74))),f12(a1,f27(a69,f25(f27(a69,x44391))),f4(a1))))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,576,442,4297,4308,478,517,519,553,375,563,447,4084,4195,448,4121,4125,4270,4275,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,583,588,495,4128,4131,4208,601,479,603,4093,4102,515,4252,4400,4407,4415,4423,395,373,213,234,248,252,385,454,602,458,393,206,259,516,407,396,209,218,383,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,314,599,4374,381,286,504,287,344,472,455,331,585,249,1945,3756,3243,2799,2022,1912,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,3176,2636,3255,3213,3231,2665,1813,3930,4096,4099,4117,2232,3666,3794,3702,2174,4132,4209,3335,3849,2406,2408,4109,2091,2655,1990,2648,3417,4174,3391,4326,3379,2330,2332,2338,2386,3742,2473,3762,2657,4114,3638,3409,3752,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700])).
% 55.21/55.75 cnf(4440,plain,
% 55.21/55.75 (P10(a1,x44401,f12(a1,f27(a69,f25(x44401)),f4(a1)))),
% 55.21/55.75 inference(rename_variables,[],[515])).
% 55.21/55.75 cnf(4443,plain,
% 55.21/55.75 (P9(a1,f3(a1),f27(a69,x44431))),
% 55.21/55.75 inference(rename_variables,[],[479])).
% 55.21/55.75 cnf(4456,plain,
% 55.21/55.75 (~P10(a70,f3(a70),f3(a70))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,576,442,4297,4308,478,517,519,553,375,563,447,4084,4195,448,4121,4125,4270,4275,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,583,588,495,4128,4131,4208,601,479,603,4093,4102,515,4252,4400,4407,4415,4423,395,373,213,234,248,252,385,454,602,433,458,393,206,259,516,407,396,209,218,383,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3756,3243,2799,2022,1912,3305,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,3176,2636,3255,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,3794,3702,2174,4132,4209,3335,3849,2406,2408,4109,2091,1846,2655,1990,2648,3417,4174,3391,4326,3379,2330,2332,2338,2386,3742,2473,3762,2657,4114,3638,3409,3752,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023])).
% 55.21/55.75 cnf(4462,plain,
% 55.21/55.75 (P10(a69,f12(a69,a78,f4(a69)),f12(a69,f5(a2,a73),x44621))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,576,442,4297,4308,478,517,519,553,375,563,447,4084,4195,448,4121,4125,4270,4275,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,583,588,495,4128,4131,4208,601,479,603,4093,4102,515,4252,4400,4407,4415,4423,395,373,213,234,248,252,385,454,602,433,458,393,206,259,516,407,396,209,218,383,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3756,3243,2799,2022,1912,3305,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,3794,3702,2174,4132,4209,3335,3849,2406,2408,4109,2091,1846,2655,1990,2648,3417,4174,3391,4326,3379,2330,2332,2338,2386,3742,2473,3762,2657,4114,3638,3409,3752,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254])).
% 55.21/55.75 cnf(4466,plain,
% 55.21/55.75 (~P9(a1,f27(a69,f5(a2,a73)),f27(a69,f12(a69,a78,f4(a69))))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,576,442,4297,4308,478,517,519,553,375,563,447,4084,4195,448,4121,4125,4270,4275,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,583,588,495,4128,4131,4208,601,479,603,4093,4102,515,4252,4400,4407,4415,4423,395,373,213,234,248,252,385,454,602,433,458,393,206,259,516,407,396,209,218,383,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3756,3243,2799,2022,1912,3305,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,3794,3702,2174,4132,4209,3335,3849,2406,2408,4109,2091,1846,2655,1990,2648,3417,4174,3391,4326,3379,2330,2332,2338,2386,3742,2473,3762,2657,4114,3638,3409,3752,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187])).
% 55.21/55.75 cnf(4468,plain,
% 55.21/55.75 (~P9(a1,f27(a69,f12(a69,f5(a2,a73),f25(x44681))),x44681)),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,576,442,4297,4308,478,517,519,553,375,563,447,4084,4195,448,4121,4125,4270,4275,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,583,588,495,4128,4131,4208,601,479,603,4093,4102,515,4252,4400,4407,4415,4423,395,373,213,234,248,252,385,454,602,433,458,393,206,259,516,407,396,209,218,383,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3756,3243,2799,2022,1912,3305,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,3794,3702,2174,4132,4209,3335,3849,2406,2408,4109,2091,1846,2655,1990,2648,3417,4174,3391,4326,3379,2330,2332,2338,2386,3742,2473,3762,2657,4114,3638,3409,3752,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088])).
% 55.21/55.75 cnf(4469,plain,
% 55.21/55.75 (~P9(a69,f12(a69,f5(a2,a73),x44691),x44691)),
% 55.21/55.75 inference(rename_variables,[],[2174])).
% 55.21/55.75 cnf(4477,plain,
% 55.21/55.75 (P9(a69,f12(a69,f54(f54(f11(a69),f9(a69,f3(a69),f3(a69))),x44771),x44772),x44772)),
% 55.21/55.75 inference(rename_variables,[],[2108])).
% 55.21/55.75 cnf(4479,plain,
% 55.21/55.75 (~P9(a70,f12(a70,f12(a70,f4(a70),f4(a70)),f4(a70)),f3(a70))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,519,553,375,563,447,4084,4195,448,4121,4125,4270,4275,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,583,588,495,4128,4131,4208,601,479,603,4093,4102,515,4252,4400,4407,4415,4423,395,373,213,234,248,252,385,454,496,602,433,458,393,206,259,516,407,396,400,209,218,383,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3756,3243,2799,2022,1912,3305,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,3794,3702,2174,4132,4209,3335,2108,3849,2406,2408,4109,2091,1846,2655,1990,2648,3417,4174,3391,4326,3379,2330,2332,2338,2386,3742,2473,3762,2657,4114,3638,3409,3752,2758,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013])).
% 55.21/55.75 cnf(4480,plain,
% 55.21/55.75 (~E(f12(a70,f12(a70,f4(a70),x44801),x44801),f3(a70))),
% 55.21/55.75 inference(rename_variables,[],[602])).
% 55.21/55.75 cnf(4482,plain,
% 55.21/55.75 (P9(a1,f54(f54(f11(a1),a74),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74)),f54(f54(f11(a1),a74),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,519,553,375,563,447,4084,4195,448,4121,4125,4270,4275,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,583,588,495,4128,4131,4208,601,479,603,4093,4102,515,4252,4400,4407,4415,4423,395,373,213,234,248,252,385,454,496,602,433,458,393,206,259,516,407,396,400,209,218,383,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3756,3243,2799,2022,1912,3305,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,3794,3702,2174,4132,4209,3335,2108,3849,2406,2408,4109,2091,1846,2655,1990,2648,3417,4174,3391,4326,3379,2330,2332,2338,2386,3742,2473,3762,2657,4114,3638,3409,3752,2758,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956])).
% 55.21/55.75 cnf(4484,plain,
% 55.21/55.75 (P10(a70,f3(a70),f12(a70,f12(a70,f4(a70),f4(a70)),f4(a70)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,519,553,375,563,447,4084,4195,448,4121,4125,4270,4275,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,583,588,495,4128,4131,4208,601,479,603,4093,4102,515,4252,4400,4407,4415,4423,395,373,213,234,248,252,385,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,383,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3756,3243,2799,2022,1912,3305,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,3794,3702,2174,4132,4209,3335,2108,3849,2406,2408,4109,2091,1846,2655,1990,2648,3417,4174,3391,4326,3379,2330,2332,2338,2386,3742,2473,3762,2657,4114,3638,3409,3752,2758,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933])).
% 55.21/55.75 cnf(4485,plain,
% 55.21/55.75 (~E(f12(a70,f12(a70,f4(a70),x44851),x44851),f3(a70))),
% 55.21/55.75 inference(rename_variables,[],[602])).
% 55.21/55.75 cnf(4489,plain,
% 55.21/55.75 (~P9(a1,f54(f54(f11(a1),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))),f26(a1,f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74))),f54(f54(f11(a1),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74)),f26(a1,f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74))))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,519,553,375,563,447,4084,4195,448,4121,4125,4270,4275,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,583,588,495,4128,4131,4208,601,479,603,4093,4102,515,4252,4400,4407,4415,4423,395,373,213,234,248,252,385,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,383,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3756,3243,2799,2022,1912,3305,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,3794,3702,2174,4132,4209,3335,2108,3849,2406,2408,4109,2091,1846,2655,1990,2648,3417,4174,3391,4326,3379,2330,2332,2338,2386,3742,2473,3762,2657,4114,3638,3409,3752,2758,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630])).
% 55.21/55.75 cnf(4493,plain,
% 55.21/55.75 (P9(a1,f10(a1,f27(a69,x44931)),f27(a69,x44931))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,519,553,375,563,447,4084,4195,448,4121,4125,4270,4275,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,583,588,495,4128,4131,4208,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,395,373,213,234,248,252,385,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,383,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3756,3243,2799,2022,1912,3305,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,3794,3702,2174,4132,4209,3335,2108,3849,2406,2408,4109,2091,1846,2655,1990,2648,3417,4174,3391,4326,3379,2330,2332,2338,2386,3742,2473,3762,2657,4114,3638,3409,3752,2758,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123])).
% 55.21/55.75 cnf(4495,plain,
% 55.21/55.75 (P9(a1,f54(f54(f11(a1),f27(a69,f25(f3(a1)))),f27(a69,f25(f3(a1)))),f10(a1,f54(f54(f11(a1),f27(a69,f25(f3(a1)))),f27(a69,f25(f3(a1))))))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,519,553,375,563,447,4084,4195,448,4121,4125,4270,4275,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,583,588,495,4128,4131,4208,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,395,373,213,234,248,252,385,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,383,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3756,3243,2799,2022,1912,3305,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,3794,3702,2174,4132,4209,3335,2108,3849,2406,2408,4109,2091,1846,2655,1990,2648,3417,4174,3391,4326,3379,2330,2332,2338,2386,3742,2473,3762,2657,4114,3638,3409,3752,2758,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121])).
% 55.21/55.75 cnf(4503,plain,
% 55.21/55.75 (P9(a1,f3(a1),f10(a1,f54(f54(f11(a1),f27(a69,f25(f3(a1)))),f27(a69,f25(f3(a1))))))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,519,553,375,563,447,4084,4195,448,4121,4125,4270,4275,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,583,588,495,4128,4131,4208,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,395,373,374,213,234,248,252,385,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,383,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,371,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3756,3243,1918,2799,2022,1912,3305,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,3794,3702,2174,4132,4209,3335,2108,3849,2406,2408,4109,2091,1846,2655,1990,2648,3417,4174,3391,4326,3379,2330,2332,2338,2386,3742,2473,3762,2657,4114,3638,3409,3752,2758,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140])).
% 55.21/55.75 cnf(4518,plain,
% 55.21/55.75 (~P10(a69,f12(a69,x45181,x45182),x45182)),
% 55.21/55.75 inference(rename_variables,[],[600])).
% 55.21/55.75 cnf(4521,plain,
% 55.21/55.75 (P10(a1,x45211,f12(a1,f27(a69,f25(x45211)),f4(a1)))),
% 55.21/55.75 inference(rename_variables,[],[515])).
% 55.21/55.75 cnf(4524,plain,
% 55.21/55.75 (P10(a70,x45241,f12(a70,x45242,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x45242,x45241)),f4(a70))),f4(a70))))),
% 55.21/55.75 inference(rename_variables,[],[2408])).
% 55.21/55.75 cnf(4526,plain,
% 55.21/55.75 (~P10(a1,f54(f54(f11(a1),f26(a1,f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74))),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))),f54(f54(f11(a1),f26(a1,f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74))),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,519,553,375,563,447,4084,4195,448,4121,4125,4270,4275,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,583,588,495,4128,4131,4208,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,383,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,371,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3756,3243,1918,2799,2022,1912,3305,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,3794,3702,2174,4132,4209,3335,2108,4477,3849,2406,2408,4109,2091,1846,2655,1990,2648,3417,4174,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3762,2657,4114,3638,3409,3752,2758,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681])).
% 55.21/55.75 cnf(4530,plain,
% 55.21/55.75 (P10(a70,f54(f54(f11(a70),f3(a70)),f4(a70)),f54(f54(f11(a70),f4(a70)),f4(a70)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,519,553,375,563,447,4084,4195,448,4121,4125,4270,4275,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,583,588,495,4128,4131,4208,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,371,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3756,3243,1918,2799,2022,1912,3305,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,3794,3702,2174,4132,4209,3335,2108,4477,3849,2406,2408,4109,2091,1846,2655,1990,2648,3417,4174,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3762,2657,4114,3638,3409,3752,2758,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575])).
% 55.21/55.75 cnf(4532,plain,
% 55.21/55.75 (P9(a69,f12(a69,f9(a69,f3(a69),x45321),f9(a69,f3(a69),x45321)),f3(a69))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,519,553,375,563,447,4084,4195,448,4121,4125,4270,4275,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,583,588,495,4128,4131,4208,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,371,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3756,3243,1918,2799,2022,1912,3305,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,3794,3702,2174,4132,4209,3335,2108,4477,3849,2406,2408,4109,2091,1846,2655,1990,2648,3417,4174,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3762,2657,4114,3638,3409,3752,2758,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473])).
% 55.21/55.75 cnf(4538,plain,
% 55.21/55.75 (~P10(a1,f54(f54(f11(a1),x45381),x45381),f3(a1))),
% 55.21/55.75 inference(rename_variables,[],[2642])).
% 55.21/55.75 cnf(4541,plain,
% 55.21/55.75 (P9(a70,x45411,x45411)),
% 55.21/55.75 inference(rename_variables,[],[449])).
% 55.21/55.75 cnf(4545,plain,
% 55.21/55.75 (E(f12(a69,f54(f54(f11(a69),f9(a69,x45451,x45451)),x45452),f3(a69)),f3(a69))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,519,553,375,563,447,4084,4195,448,4121,4125,4270,4275,449,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,583,588,495,4128,4131,4208,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,371,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3756,3243,1918,2799,2022,1912,3305,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,3794,3702,2174,4132,4209,3335,2105,2108,4477,3849,2406,2408,4109,2091,1846,2655,1990,2648,3417,4174,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3762,2642,2657,4114,3638,3409,3752,2758,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750])).
% 55.21/55.75 cnf(4546,plain,
% 55.21/55.75 (~P10(a69,x45461,f12(a69,f54(f54(f11(a69),f9(a69,x45462,x45462)),x45463),x45461))),
% 55.21/55.75 inference(rename_variables,[],[2105])).
% 55.21/55.75 cnf(4548,plain,
% 55.21/55.75 (~P10(a69,f9(a69,f12(a69,x45481,x45482),x45482),x45481)),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,519,553,375,563,447,4084,4195,448,4121,4125,4270,4275,449,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,583,588,495,4128,4131,4208,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,371,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3756,3243,1918,2799,2022,1912,3305,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,3794,3702,2174,4132,4209,3335,2105,2108,4477,3849,1899,2406,2408,4109,2091,1846,2655,1990,2648,3417,4174,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3762,2642,2657,4114,3638,3409,3752,2758,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418])).
% 55.21/55.75 cnf(4553,plain,
% 55.21/55.75 (~P10(a69,x45531,f12(a69,f3(a69),x45531))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,519,553,375,563,447,4084,4195,448,4121,4125,4270,4275,449,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,583,588,495,4128,4131,4208,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,371,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3756,3243,1918,2799,2022,1912,3305,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,3794,3702,2174,4132,4209,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,2091,1846,2655,1990,2648,3417,4174,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3762,2642,2657,4114,3638,3409,3752,2758,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270])).
% 55.21/55.75 cnf(4554,plain,
% 55.21/55.75 (~P10(a69,x45541,f9(a69,f12(a69,x45541,x45542),x45542))),
% 55.21/55.75 inference(rename_variables,[],[1896])).
% 55.21/55.75 cnf(4556,plain,
% 55.21/55.75 (P10(a69,f3(a69),a46)),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,519,553,375,563,447,4084,4195,448,4121,4125,4270,4275,449,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,583,588,495,4128,4131,4208,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,371,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3756,3243,1918,2799,2022,1912,3305,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,3794,3702,2174,4132,4209,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,2091,1846,2655,1990,2648,3417,4174,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3762,2642,2657,4114,3638,3409,3752,2758,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012])).
% 55.21/55.75 cnf(4557,plain,
% 55.21/55.75 (P9(a69,f3(a69),x45571)),
% 55.21/55.75 inference(rename_variables,[],[463])).
% 55.21/55.75 cnf(4559,plain,
% 55.21/55.75 (~P9(a1,f54(f54(f11(a1),f4(a1)),f4(a1)),f3(a1))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,519,553,375,563,447,4084,4195,448,4121,4125,4270,4275,449,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,583,588,495,4128,4131,4208,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,371,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3756,3243,1918,2799,2022,1912,3305,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,3788,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,3794,3702,2174,4132,4209,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,2091,1846,2655,1990,2648,3417,4174,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3762,2642,4538,2657,4114,3638,3409,3752,2758,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009])).
% 55.21/55.75 cnf(4560,plain,
% 55.21/55.75 (~P10(a1,f54(f54(f11(a1),x45601),x45601),f3(a1))),
% 55.21/55.75 inference(rename_variables,[],[2642])).
% 55.21/55.75 cnf(4562,plain,
% 55.21/55.75 (P9(a71,f5(a2,a73),f5(a2,a32))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,519,553,375,563,447,4084,4195,448,4121,4125,4270,4275,449,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,583,588,495,4128,4131,4208,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,371,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3756,3243,1918,2799,2022,1912,3305,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,3788,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,3794,3702,2174,4132,4209,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,2091,1846,2655,1990,2648,3417,4174,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3762,2642,4538,2657,4114,3638,3409,3752,2758,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769])).
% 55.21/55.75 cnf(4566,plain,
% 55.21/55.75 (~P9(a70,f10(a70,f3(a70)),f10(a70,f4(a70)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,519,553,375,563,510,447,4084,4195,448,4121,4125,4270,4275,449,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,583,588,495,4128,4131,4208,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,371,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3756,3243,1918,2799,2022,1912,3305,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,3788,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,3794,3702,2174,4132,4209,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,2091,1846,2655,1990,2648,3417,4174,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3762,2642,4538,2657,4114,3638,3409,3752,2758,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225])).
% 55.21/55.75 cnf(4572,plain,
% 55.21/55.75 (~P9(a69,f12(a69,f54(f54(f11(a69),x45721),x45722),f12(a69,f5(a2,a73),f12(a69,f54(f54(f11(a69),f9(a69,x45721,x45721)),x45722),x45723))),f12(a69,f54(f54(f11(a69),x45721),x45722),x45723))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,519,451,553,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,449,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,583,588,495,4128,4131,4208,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,371,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3756,3243,1918,2799,2022,1912,3305,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,3788,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,3794,3702,2174,4132,4209,4469,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,2091,1846,2655,1990,2648,3417,4174,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3762,2642,4538,2657,4114,3638,3409,3752,2758,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783])).
% 55.21/55.75 cnf(4573,plain,
% 55.21/55.75 (~P9(a69,f12(a69,f5(a2,a73),x45731),x45731)),
% 55.21/55.75 inference(rename_variables,[],[2174])).
% 55.21/55.75 cnf(4575,plain,
% 55.21/55.75 (P10(a70,f12(a70,x45751,f3(a70)),f12(a70,x45751,f4(a70)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,519,451,553,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,583,588,495,4128,4131,4208,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,371,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3756,3243,1918,2799,2022,1912,3305,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,3788,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,3794,3702,2174,4132,4209,4469,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,2091,1846,2655,1990,2648,3417,4174,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3762,2642,4538,2657,4114,3638,3409,3752,2758,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559])).
% 55.21/55.75 cnf(4579,plain,
% 55.21/55.75 (P10(a70,f12(a70,f12(a70,f9(a70,f3(a70),f4(a70)),f9(a70,f3(a70),f4(a70))),f12(a70,f9(a70,f3(a70),f4(a70)),f9(a70,f3(a70),f4(a70)))),f3(a70))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,519,451,553,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,583,588,495,4128,4131,4208,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,371,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3756,3243,1918,2799,2022,1912,3305,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,3788,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,3794,3702,2174,4132,4209,4469,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,2091,1846,2655,1990,2648,3417,4174,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3762,2642,4538,2657,4114,3638,3409,3752,2758,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470])).
% 55.21/55.75 cnf(4581,plain,
% 55.21/55.75 (~P10(a70,f3(a70),f10(a70,f4(a70)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,519,451,553,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,583,588,495,4128,4131,4208,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,371,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3756,3243,1918,2799,2022,1912,3305,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,3788,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,3794,3702,2174,4132,4209,4469,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,2091,1846,2655,1990,2648,3417,4174,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3762,2642,4538,2657,4114,3638,3409,3752,2758,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998])).
% 55.21/55.75 cnf(4583,plain,
% 55.21/55.75 (~P9(a69,f12(a69,f5(a2,a73),f12(a69,x45831,x45832)),x45831)),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,519,451,553,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,583,588,495,4128,4131,4208,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,371,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3756,3243,1918,2799,2022,1912,3305,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,3788,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,3794,3702,2174,4132,4209,4469,4573,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,2091,1846,2655,1990,2648,3417,4174,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3762,2642,4538,2657,4114,3638,3409,3752,2758,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258])).
% 55.21/55.75 cnf(4584,plain,
% 55.21/55.75 (~P9(a69,f12(a69,f5(a2,a73),x45841),x45841)),
% 55.21/55.75 inference(rename_variables,[],[2174])).
% 55.21/55.75 cnf(4588,plain,
% 55.21/55.75 (P10(a70,f10(a70,f12(a70,x45881,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x45881,f10(a70,x45882))),f4(a70))),f4(a70)))),x45882)),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,519,451,553,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,371,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3756,3243,1918,2799,2022,1912,3305,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,3788,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,3794,3702,2174,4132,4209,4469,4573,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,4524,2091,1846,2655,1990,2648,3417,4174,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3762,2642,4538,2657,4114,3638,3409,3752,2758,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199])).
% 55.21/55.75 cnf(4590,plain,
% 55.21/55.75 (~P9(a70,f54(f54(f21(a70),f12(a70,f4(a70),f4(a70))),f5(a2,a73)),f54(f54(f21(a70),f12(a70,f4(a70),f4(a70))),f12(a69,a78,f4(a69))))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,519,451,553,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,371,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3756,3243,1918,2799,2022,1912,3305,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,3788,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,3794,3702,2174,4132,4209,4469,4573,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,4524,2091,1823,1846,2655,1990,2648,3417,4174,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3762,2642,4538,2657,4114,3638,3409,3752,2758,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676])).
% 55.21/55.75 cnf(4591,plain,
% 55.21/55.75 (P10(a70,x45911,f12(a70,x45911,f4(a70)))),
% 55.21/55.75 inference(rename_variables,[],[1823])).
% 55.21/55.75 cnf(4594,plain,
% 55.21/55.75 (P9(a69,x45941,x45941)),
% 55.21/55.75 inference(rename_variables,[],[448])).
% 55.21/55.75 cnf(4618,plain,
% 55.21/55.75 (~E(f12(a70,f4(a70),f4(a70)),f3(a70))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,519,451,553,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,371,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3321,3756,3243,1918,2799,2022,1912,3305,3768,3758,3529,2573,2266,3879,3924,3927,3209,1916,1981,3788,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,2282,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,2599,3794,3702,2174,4132,4209,4469,4573,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,4524,2091,1823,1846,2655,1990,2648,3417,4174,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3762,2642,4538,2657,4114,3638,3409,3752,2758,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065])).
% 55.21/55.75 cnf(4625,plain,
% 55.21/55.75 (E(f12(a69,x46251,f68(x46251,x46251)),x46251)),
% 55.21/55.75 inference(rename_variables,[],[2838])).
% 55.21/55.75 cnf(4629,plain,
% 55.21/55.75 (~E(x46291,f10(a70,f12(a70,f4(a70),f12(a1,f54(f54(f11(a1),f9(a1,x46292,x46292)),x46293),x46291))))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,519,451,553,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,371,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3321,3756,3243,1918,2799,2022,1912,3305,3768,3758,3529,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,2126,2282,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,2599,3794,3873,3702,2174,4132,4209,4469,4573,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,4524,2091,1823,1846,2655,1990,2648,3417,4174,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3762,2642,4538,2657,4114,3638,3409,3752,2758,3806,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40])).
% 55.21/55.75 cnf(4631,plain,
% 55.21/55.75 (~E(x46311,f12(a70,f4(a70),f10(a70,x46311)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,519,451,553,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,371,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3321,3756,3243,1918,2799,2022,1912,3305,3768,3758,3529,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3176,2636,3255,2126,2282,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,2599,3794,3873,3702,2174,4132,4209,4469,4573,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,4524,2091,1823,1846,2655,1990,2648,3417,4174,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3762,2642,4538,2657,4114,3638,3409,3752,2758,3806,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28])).
% 55.21/55.75 cnf(4632,plain,
% 55.21/55.75 (~E(x46321,f10(a70,f12(a70,f4(a70),x46321)))),
% 55.21/55.75 inference(rename_variables,[],[2089])).
% 55.21/55.75 cnf(4638,plain,
% 55.21/55.75 (~E(a81,f3(a1))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,519,451,553,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,371,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3321,3756,3243,1918,2799,2022,1912,3305,3768,3758,3529,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3319,3176,2636,3255,3247,2126,2282,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,2599,3794,3873,3702,2174,4132,4209,4469,4573,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,4524,2091,1823,1846,2655,1990,2648,3417,4174,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3762,2642,4538,2657,4114,3638,3409,3752,2758,3806,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246])).
% 55.21/55.75 cnf(4640,plain,
% 55.21/55.75 (~E(f12(a1,f4(a1),f13(a1,f27(a69,f25(f3(a1))))),f3(a1))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,519,451,553,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,371,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3321,3756,3243,1918,2799,2022,1912,3549,3305,3768,3758,3529,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,2242,2200,3303,2143,3319,3176,2636,3255,3247,2126,2282,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,2599,3794,3873,3702,2174,4132,4209,4469,4573,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,4524,2091,1823,1846,2655,1990,2648,3417,4174,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3762,2642,4538,2657,4114,3638,3409,3752,2758,3806,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913])).
% 55.21/55.75 cnf(4651,plain,
% 55.21/55.75 (~P12(f9(a69,f12(a69,x46511,a1),x46511),f54(f54(f11(a70),f3(f72(a1))),f4(a70)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,519,451,553,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,207,208,371,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3321,3756,3243,1918,2799,2022,1912,3549,3305,3768,3758,3529,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,2200,3303,2143,3319,3176,2636,3255,3247,2126,2080,3196,2282,3213,2919,3231,2138,2665,1813,3930,4096,4099,4117,2232,3666,3654,2599,3794,3873,3411,3702,2174,4132,4209,4469,4573,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,4524,2091,1823,1846,2655,1990,2648,3417,4174,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3525,3762,2642,4538,2657,4114,3638,3409,3752,2758,3806,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152])).
% 55.21/55.75 cnf(4652,plain,
% 55.21/55.75 (E(f54(f54(f11(a70),x46521),f4(a70)),x46521)),
% 55.21/55.75 inference(rename_variables,[],[445])).
% 55.21/55.75 cnf(4654,plain,
% 55.21/55.75 (E(f54(f54(f11(a70),x46541),f4(a70)),x46541)),
% 55.21/55.75 inference(rename_variables,[],[445])).
% 55.21/55.75 cnf(4657,plain,
% 55.21/55.75 (E(f54(f54(f11(a70),x46571),f4(a70)),x46571)),
% 55.21/55.75 inference(rename_variables,[],[445])).
% 55.21/55.75 cnf(4659,plain,
% 55.21/55.75 (E(f54(f54(f11(a70),x46591),f4(a70)),x46591)),
% 55.21/55.75 inference(rename_variables,[],[445])).
% 55.21/55.75 cnf(4661,plain,
% 55.21/55.75 (E(f54(f54(f11(a70),x46611),f4(a70)),x46611)),
% 55.21/55.75 inference(rename_variables,[],[445])).
% 55.21/55.75 cnf(4663,plain,
% 55.21/55.75 (E(f54(f54(f11(a70),x46631),f4(a70)),x46631)),
% 55.21/55.75 inference(rename_variables,[],[445])).
% 55.21/55.75 cnf(4677,plain,
% 55.21/55.75 (P13(a1,x46771,f54(f54(f11(a1),x46772),f10(a1,x46771)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,4652,4654,4657,4659,4661,519,451,553,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,208,371,314,599,4374,381,286,504,287,344,472,455,331,585,249,1920,1945,3321,3756,3243,1918,2799,2022,1912,3549,3305,3768,3758,3529,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,2200,3303,2143,3319,3176,2636,3255,3247,2126,2080,3196,2282,3213,2919,3231,2138,2665,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,4524,2091,1823,1846,2655,1990,2648,3417,4174,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3525,3762,2642,4538,2657,4114,3638,3409,3752,2758,3806,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134])).
% 55.21/55.75 cnf(4722,plain,
% 55.21/55.75 (~P9(a70,f54(f54(f11(a70),f4(a70)),f4(a70)),f54(f54(f11(a70),f4(a70)),f3(a70)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,4652,4654,4657,4659,4661,4663,519,451,553,568,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,4594,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,4323,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,208,371,314,599,4374,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,3243,1918,2799,2022,1912,3549,3305,3768,3758,3529,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,2200,3303,2143,3319,3176,2636,3255,3247,2126,2080,3196,2282,3213,2919,3231,2138,2665,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,4524,2091,1823,1846,2655,1990,2648,3417,4174,3832,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3525,3762,2642,4538,2657,4114,3638,3409,3752,2758,3806,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444])).
% 55.21/55.75 cnf(4724,plain,
% 55.21/55.75 (P13(f72(a1),f54(f54(f21(f72(a1)),f54(f54(f21(f72(a1)),f18(a1,f10(a1,x47241),f18(a1,f4(a1),f3(f72(a1))))),f19(a1,x47241,f54(f54(f21(f72(a1)),f18(a1,f10(a1,x47242),f18(a1,f4(a1),f3(f72(a1))))),f19(a1,x47242,f10(f72(a1),x47243)))))),x47244),f54(f54(f21(f72(a1)),f54(f54(f21(f72(a1)),f18(a1,f10(a1,x47242),f18(a1,f4(a1),f3(f72(a1))))),f19(a1,x47242,f10(f72(a1),x47243)))),x47244))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,4652,4654,4657,4659,4661,4663,519,451,553,568,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,4594,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,4323,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,208,371,314,599,4374,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,3243,1918,2799,2022,1912,3549,3305,3768,3758,3529,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,2200,3303,2143,3319,3176,2636,3255,3247,2126,2080,3196,2282,3213,2919,3231,2138,2665,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,4524,2091,1823,1846,2655,1990,2648,3417,4174,3832,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3525,3762,2642,4538,2657,4114,3638,3409,3752,2758,3806,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433])).
% 55.21/55.75 cnf(4734,plain,
% 55.21/55.75 (~P10(a1,f10(a1,f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74)),f10(a1,f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,4652,4654,4657,4659,4661,4663,519,451,553,568,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,4594,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,4323,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,208,371,314,599,4374,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,3243,1918,2799,2022,1912,3549,3305,3768,3758,3529,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,2200,3303,2143,3319,3176,2636,3255,3247,2126,2080,3196,2282,3213,2919,3231,2138,2665,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,4524,2091,1823,1846,2655,1990,2648,3417,4174,3832,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3525,3762,2642,4538,2657,4114,3638,3409,3752,2758,3806,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224])).
% 55.21/55.75 cnf(4736,plain,
% 55.21/55.75 (~P9(a70,f8(a70,f3(a70)),f10(a70,f4(a70)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,4652,4654,4657,4659,4661,4663,519,451,553,568,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,4594,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,4323,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,208,371,314,599,4374,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,3243,1918,2799,2022,1912,3549,3305,3768,3758,3529,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,2200,3303,2143,3319,3176,2636,3255,3247,2126,2080,3196,2282,3213,2919,3231,2138,2665,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,4524,2091,1823,1846,2655,1990,2648,3417,4174,3832,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3525,3762,2642,4538,2657,4114,3638,3409,3752,2758,3806,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204])).
% 55.21/55.75 cnf(4738,plain,
% 55.21/55.75 (~P9(a70,f10(a70,f10(a70,f4(a70))),f3(a70))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,4652,4654,4657,4659,4661,4663,519,451,553,568,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,4594,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,4323,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,208,371,314,599,4374,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,3243,1918,2799,2022,1912,3549,3305,3768,3758,3529,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,2200,3303,2143,3319,3176,2636,3255,3247,2126,2080,3196,2282,3213,2919,3231,2138,2665,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,4524,2091,1823,1846,2655,1990,2648,3417,4174,3832,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3525,3762,2642,4538,2657,4114,3638,3409,3752,2758,3806,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202])).
% 55.21/55.75 cnf(4742,plain,
% 55.21/55.75 (E(x47421,f10(a2,f54(f54(f11(a70),f4(a70)),f10(a2,x47421))))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,4652,4654,4657,4659,4661,4663,519,451,452,553,568,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,4594,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,4323,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,208,371,314,599,4374,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,3243,1918,2799,2022,1912,3549,3305,3768,3758,3529,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,2200,3303,2143,3319,3176,2636,3255,3247,2126,2080,3196,2282,3213,2919,3231,2138,2665,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,4524,2091,1823,1846,2655,1990,2648,3417,4174,3832,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3525,3762,2642,4538,2657,4114,3638,3409,3752,2758,3806,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722])).
% 55.21/55.75 cnf(4745,plain,
% 55.21/55.75 (~P9(a69,f12(a69,f5(a2,a73),x47451),x47451)),
% 55.21/55.75 inference(rename_variables,[],[2174])).
% 55.21/55.75 cnf(4747,plain,
% 55.21/55.75 (P9(a70,f4(a70),f54(f54(f21(a70),f4(a70)),x47471))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,4652,4654,4657,4659,4661,4663,519,451,452,553,568,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,4594,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,4323,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,208,371,314,599,4374,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,3243,1918,2799,2022,1912,3549,3305,3768,3758,3529,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,2200,3303,2143,3319,3176,2636,3255,3247,2126,2080,3196,2282,3213,2919,3231,2138,2665,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,4524,2091,1823,1846,2655,1990,2648,3417,4174,3832,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3525,3762,2642,4538,2657,4114,3638,3409,3752,2758,3806,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306])).
% 55.21/55.75 cnf(4751,plain,
% 55.21/55.75 (~E(x47511,f12(a69,f10(a70,f12(a70,f4(a70),f9(a69,x47511,x47511))),x47511))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,4652,4654,4657,4659,4661,4663,519,451,452,553,568,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,4594,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,4323,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,208,371,314,599,4374,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,3243,1918,2799,2022,1912,3549,3305,3768,3758,3529,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,4632,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,2200,3303,2143,3319,3176,2636,3255,3247,2126,2080,3196,2282,3213,2919,3231,2138,2665,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,4524,2091,1823,1846,2655,1990,2648,3417,4174,3832,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3525,3762,2642,4538,2657,4114,3638,3409,3752,2758,3806,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216])).
% 55.21/55.75 cnf(4752,plain,
% 55.21/55.75 (~E(x47521,f10(a70,f12(a70,f4(a70),x47521)))),
% 55.21/55.75 inference(rename_variables,[],[2089])).
% 55.21/55.75 cnf(4754,plain,
% 55.21/55.75 (~P9(a1,f10(a1,f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f3(a1))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,4652,4654,4657,4659,4661,4663,519,451,452,553,568,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,4594,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,4323,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,208,371,314,599,4374,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,3243,1918,2799,2022,1912,3549,3305,3768,3758,3529,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,4632,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,2200,3303,2143,3319,3176,2636,3255,3247,2126,2080,3196,2282,3213,2919,3231,2138,2665,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,4524,2091,1823,1846,2655,1990,2648,3417,4174,3832,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3525,3762,2642,4538,2657,4114,3638,3409,3752,2758,3806,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185])).
% 55.21/55.75 cnf(4759,plain,
% 55.21/55.75 (P10(a70,f9(a70,x47591,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x47591,f10(a70,f3(a70)))),f4(a70))),f4(a70))),f3(a70))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,4652,4654,4657,4659,4661,4663,519,451,452,553,568,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,4594,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,4323,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,208,371,314,599,4374,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,3243,1918,2799,2022,1912,3549,3305,3768,3758,3529,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,4632,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,2200,3303,2143,3319,3176,2636,3255,3247,2126,2080,3196,2282,3213,2919,3231,2138,2665,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,4524,2091,1823,1846,2655,1990,2648,3419,3417,4174,3832,3391,4326,3379,2316,2330,2332,2338,2386,3742,2473,3525,3762,2642,4538,2657,4114,3638,3409,3752,2758,3806,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172])).
% 55.21/55.75 cnf(4761,plain,
% 55.21/55.75 (P9(f72(a1),f10(f72(a1),f8(f72(a1),f3(f72(a1)))),f3(f72(a1)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,4652,4654,4657,4659,4661,4663,519,451,452,553,568,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,4594,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,4323,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,208,371,314,599,4374,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,3243,1918,2799,2022,1912,3549,3305,3768,3758,3529,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,4632,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,2200,3303,2143,3319,3176,2636,3255,3247,2126,2080,3196,2282,3213,2919,3231,2138,2665,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,4524,2091,1823,1846,2655,1990,2648,3419,3417,4174,3832,3391,4326,3379,2308,2316,2330,2332,2338,2386,3742,2473,3525,3762,2642,4538,2657,4114,3638,3409,3752,2758,3806,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153])).
% 55.21/55.75 cnf(4780,plain,
% 55.21/55.75 (P9(a70,f54(f54(f11(a70),f10(a70,f3(a70))),f10(a70,f3(a70))),f3(a70))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,4652,4654,4657,4659,4661,4663,519,451,452,553,568,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,4594,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,4323,497,600,601,479,4443,603,4093,4102,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,208,371,314,599,4374,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,3243,1918,2799,2022,1912,3549,3305,3768,3758,3529,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,4632,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,2200,3303,2143,3319,3176,2636,3255,3247,2126,2080,3196,2282,3213,2919,3231,2138,2665,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,4524,2091,1823,1846,2655,1990,2648,3419,3417,4174,3832,3391,4326,3379,2308,2316,2330,2332,2338,2386,3742,2473,3525,3762,2642,4538,2657,4114,3638,3808,3409,3752,2758,3806,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401])).
% 55.21/55.75 cnf(4787,plain,
% 55.21/55.75 (~E(f13(a1,f12(a1,f8(a1,f3(a1)),f4(a1))),f10(a1,f4(a1)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,4652,4654,4657,4659,4661,4663,519,451,452,553,568,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,4594,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,4323,497,600,601,479,4443,440,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,208,371,314,599,4374,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,3243,1918,2799,2022,1912,3549,3305,3768,3758,3529,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,4632,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,2200,3303,2143,3319,3176,2636,3255,3247,2126,2080,3196,2282,3213,2919,3231,2138,2665,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,4524,2091,1823,1846,2655,1990,2648,3419,3417,4174,3832,3391,4326,3379,2308,2316,2330,2332,2338,2386,3742,2473,3525,3762,2642,4538,2657,4114,3638,3808,3409,3752,2758,3806,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974])).
% 55.21/55.75 cnf(4795,plain,
% 55.21/55.75 (E(f54(f54(f11(a70),f4(a70)),x47951),x47951)),
% 55.21/55.75 inference(rename_variables,[],[452])).
% 55.21/55.75 cnf(4807,plain,
% 55.21/55.75 (~P9(f72(a1),f12(f72(a1),f54(f54(f11(f72(a1)),x48071),x48071),f54(f54(f11(f72(a1)),f12(f72(a1),f23(a1,x48072,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x48073,f12(a1,f3(f72(a1)),f4(a1))))),f12(f72(a1),f23(a1,x48072,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x48073,f12(a1,f3(f72(a1)),f4(a1)))))),f3(f72(a1)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,4652,4654,4657,4659,4661,4663,519,451,452,4795,553,568,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,4594,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,4323,497,600,601,479,4443,440,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,208,371,314,599,4374,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,3243,1918,2799,2022,1912,3549,3305,3768,3758,3529,2691,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,2200,3303,2143,3319,3176,2636,3255,2099,3247,2126,2080,3196,2282,3213,2919,3231,2138,2665,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,3335,2105,2108,4477,3849,1896,1899,2406,2408,4109,4524,2091,1823,4591,1846,2655,1990,2648,3419,3417,4174,3832,3391,4326,3379,2308,2316,2330,2332,2338,2360,2380,2386,3742,2473,3525,3762,2642,4538,2657,4114,3638,3808,3409,3752,2758,3806,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741])).
% 55.21/55.75 cnf(4814,plain,
% 55.21/55.75 (P9(a69,x48141,x48141)),
% 55.21/55.75 inference(rename_variables,[],[448])).
% 55.21/55.75 cnf(4816,plain,
% 55.21/55.75 (P10(a69,f12(a69,f54(f54(f11(a69),x48161),x48162),f54(f54(f11(a69),f9(a69,x48161,x48161)),x48162)),f12(a69,f54(f54(f11(a69),x48161),x48162),f14(f12(a1,f27(a69,f3(a69)),f4(a1)))))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,4652,4654,4657,4659,4661,4663,519,451,452,4795,553,568,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,4594,4814,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,4323,497,600,601,479,4443,440,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,208,371,314,599,4374,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,3243,1918,2799,2022,1912,3549,3305,3768,3758,3529,2691,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,2200,3303,2143,3319,3176,2636,3255,2099,3247,2126,2080,3196,2282,3213,2919,3231,2138,2665,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,3335,2105,2108,4477,3849,1959,1896,1899,2406,2408,4109,4524,2091,1823,4591,1846,2655,1990,2648,3419,3417,4174,3832,3391,4326,3379,2308,2316,2330,2332,2338,2360,2380,2386,3742,2473,3525,3762,2642,4538,2657,4114,3638,3808,3409,3752,2758,3806,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791])).
% 55.21/55.75 cnf(4823,plain,
% 55.21/55.75 (~E(f12(a69,x48231,f3(a2)),f12(a69,x48231,a83))),
% 55.21/55.75 inference(rename_variables,[],[2665])).
% 55.21/55.75 cnf(4826,plain,
% 55.21/55.75 (~E(f12(a69,x48261,f3(a2)),f12(a69,x48261,a83))),
% 55.21/55.75 inference(rename_variables,[],[2665])).
% 55.21/55.75 cnf(4828,plain,
% 55.21/55.75 (~E(f12(a69,f54(f54(f11(a69),x48281),x48282),f12(a69,f54(f54(f11(a69),f9(a69,x48281,x48281)),x48282),f3(a2))),f12(a69,f54(f54(f11(a69),x48281),x48282),a83))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,4652,4654,4657,4659,4661,4663,519,451,452,4795,553,568,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,4594,4814,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,4323,497,600,601,479,4443,440,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,208,371,314,599,4374,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,3243,1918,2799,2022,1912,3549,3305,3768,3758,3529,2691,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,2200,3303,2143,3319,3176,2636,3255,2099,3247,2126,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,2177,3335,2105,2108,4477,3849,1959,1896,1899,2406,2408,4109,4524,2091,1823,4591,1846,2655,1990,2648,3419,3417,4174,3832,3391,4326,3379,2308,2316,2330,2332,2338,2360,2380,2386,3742,2473,3525,3762,2642,4538,2657,4114,3638,3808,3409,3752,2758,3806,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755])).
% 55.21/55.75 cnf(4831,plain,
% 55.21/55.75 (~P10(a1,f12(a1,f54(f54(f11(a1),f9(a1,f9(a1,x48311,x48312),f9(a1,x48311,x48312))),x48313),x48314),x48314)),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,4652,4654,4657,4659,4661,4663,519,451,452,4795,553,568,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,4594,4814,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,4323,497,600,601,479,4443,440,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,208,371,314,599,4374,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,3243,1918,2799,2022,1912,3549,3305,3768,3758,3529,2691,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,2200,3303,2143,3319,3176,2636,3255,2099,3247,2126,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,2177,3335,2105,2108,4477,3849,1959,1896,1899,2406,2408,4109,4524,2091,1823,4591,1846,2655,1990,2648,3419,3417,4174,3832,3391,4326,3379,2308,2316,2330,2332,2338,2360,2380,2386,3742,2473,3525,3762,2642,4538,2657,4114,3638,3808,3409,3752,2758,3806,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797])).
% 55.21/55.75 cnf(4833,plain,
% 55.21/55.75 (~P10(a1,x48331,f12(a1,f54(f54(f11(a1),f9(a1,f9(a1,x48332,x48333),f9(a1,x48332,x48333))),x48334),x48331))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,4652,4654,4657,4659,4661,4663,519,451,452,4795,553,568,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,4594,4814,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,4323,497,600,601,479,4443,440,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,208,371,314,599,4374,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,3243,1918,2799,2022,1912,3549,3305,3768,3758,3529,2691,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,2200,3303,2143,3319,3176,2636,3255,2099,3247,2126,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,2177,3335,2105,2108,4477,3849,1959,1896,1899,2406,2408,4109,4524,2091,1823,4591,1846,2655,1990,2648,3419,3417,4174,3832,3391,4326,3379,2308,2316,2330,2332,2338,2360,2380,2386,3742,2473,3525,3762,2642,4538,2657,4114,3638,3808,3409,3752,2758,3806,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795])).
% 55.21/55.75 cnf(4835,plain,
% 55.21/55.75 (P10(a1,x48351,f12(a1,f54(f54(f11(a1),f9(a1,x48352,x48353)),x48354),f12(a1,f27(a69,f25(f8(a1,f9(a1,f12(a1,f54(f54(f11(a1),x48353),x48354),x48351),f54(f54(f11(a1),x48352),x48354))))),f4(a1))))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,478,517,444,445,4652,4654,4657,4659,4661,4663,519,451,452,4795,553,568,375,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,4594,4814,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,4323,497,600,601,479,4443,440,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,208,371,314,599,4374,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,3243,1918,2799,2022,1912,3549,3305,3768,3758,3529,2691,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,2200,3303,2143,3319,3176,2636,3255,2099,3247,2126,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,2177,3335,2105,2108,4477,3849,1959,1896,1899,2406,2408,4109,4524,2091,2094,1823,4591,1846,2655,1990,2648,3419,3417,4174,3832,3391,4326,3379,2308,2316,2330,2332,2338,2360,2380,2386,3742,2473,3525,3762,2642,4538,2657,4114,3638,3808,3409,3752,2758,3806,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786])).
% 55.21/55.75 cnf(4843,plain,
% 55.21/55.75 (~P10(a70,f8(a70,f4(a70)),f3(a70))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,568,375,405,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,4594,4814,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,4323,497,600,601,479,4443,440,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,208,371,314,599,4374,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,3243,1918,2799,2022,1912,3549,3305,3768,3758,3529,2691,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,2200,3303,2143,3319,3176,2636,3255,2099,3247,2126,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,2177,3335,2105,2108,4477,3849,1959,1896,1899,2406,2408,4109,4524,2091,2094,1823,4591,1846,2655,1990,2648,3419,3417,4174,3832,3391,4326,3379,2308,2316,2330,2332,2338,2360,2380,2386,3742,2473,3525,3762,2642,4538,2657,4114,3638,3808,3409,3752,2425,2758,3806,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233])).
% 55.21/55.75 cnf(4845,plain,
% 55.21/55.75 (E(x48451,f12(a69,f54(f54(f11(a69),f9(a69,x48452,x48452)),x48453),x48451))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,325,328,333,336,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,568,375,405,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,4594,4814,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,4323,497,600,4518,601,479,4443,440,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,208,371,314,599,4374,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,3243,1918,2799,2022,1912,3549,3305,3768,3758,3529,2691,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,2200,3303,2143,3319,3176,2636,3255,2099,3247,2126,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,2177,3335,2105,4546,2108,4477,3849,1959,1896,1899,2406,2408,4109,4524,2091,2094,1823,4591,1846,2655,1990,2648,3419,3417,4174,3832,3391,4326,3379,2308,2316,2330,2332,2338,2360,2380,2386,3742,2473,3525,3762,2642,4538,2657,4114,3638,3808,3409,3752,2425,2758,3806,3195,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966])).
% 55.21/55.75 cnf(4846,plain,
% 55.21/55.75 (~P10(a69,f12(a69,x48461,x48462),x48462)),
% 55.21/55.75 inference(rename_variables,[],[600])).
% 55.21/55.75 cnf(4851,plain,
% 55.21/55.75 (E(f12(a70,x48511,f3(a70)),x48511)),
% 55.21/55.75 inference(rename_variables,[],[465])).
% 55.21/55.75 cnf(4861,plain,
% 55.21/55.75 (~P9(a1,f28(a2,f54(f15(a2,a80),f3(a2))),f54(f54(f11(a1),f54(f54(f11(a1),f27(a69,f25(f3(a1)))),f27(a69,f25(f3(a1))))),f28(a2,x48611)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,568,375,405,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,4594,4814,449,4541,590,219,221,227,230,231,235,238,262,265,303,316,321,322,386,387,417,463,4120,4124,4184,4362,593,583,588,495,4128,4131,4208,4323,497,600,4518,601,479,4443,440,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,208,371,314,599,4374,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,3243,1918,2799,2022,1912,3549,3305,3768,3758,3529,2691,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,2200,3303,2143,3319,3176,2636,3255,2099,3247,2126,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,2177,3335,2105,4546,2108,4477,3849,1959,1896,1899,2406,2408,4109,4524,2091,2094,1823,4591,1846,2655,1990,2648,3419,3417,4174,3832,3391,4326,3379,2308,2316,2330,2332,2338,2360,2380,2386,3742,2473,3525,3762,2642,4538,2657,4114,3638,3808,3409,3752,2425,2758,3806,3195,2461,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582])).
% 55.21/55.75 cnf(4867,plain,
% 55.21/55.75 (P9(a70,x48671,x48671)),
% 55.21/55.75 inference(rename_variables,[],[449])).
% 55.21/55.75 cnf(4872,plain,
% 55.21/55.75 (~P10(a1,f27(a69,x48721),f3(a1))),
% 55.21/55.75 inference(rename_variables,[],[599])).
% 55.21/55.75 cnf(4886,plain,
% 55.21/55.75 (P10(a1,f54(f54(f11(a1),f9(a1,x48861,f12(a1,f27(a69,f25(f8(a1,f9(a1,f3(a1),x48861)))),f4(a1)))),f26(a1,f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74))),f54(f54(f11(a1),f9(a1,x48861,f12(a1,f27(a69,f25(f8(a1,f9(a1,f3(a1),x48861)))),f4(a1)))),a55))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,568,375,405,563,510,447,4084,4195,448,4121,4125,4270,4275,4363,4594,4814,449,4541,590,219,221,227,230,231,235,238,262,265,296,303,316,321,322,386,387,417,463,4120,4124,4184,4362,4557,593,583,588,495,4128,4131,4208,4323,497,600,4518,601,479,4443,440,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,395,373,374,544,213,234,248,252,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,208,371,314,599,4374,4411,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3305,3768,3758,3529,2691,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,2200,3303,2143,3319,3176,2636,3255,2099,3247,2126,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,2177,3335,2105,4546,2108,4477,3849,1959,1896,1899,2406,2408,4109,4524,2091,2094,1823,4591,1846,2655,1990,2648,3419,3417,4174,3832,3391,4326,3379,2308,2316,2330,2332,2338,2360,2380,2386,3742,2473,3525,3762,2642,4538,2657,4114,3638,3808,3409,3752,2425,2758,3806,3195,2461,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567])).
% 55.21/55.75 cnf(4899,plain,
% 55.21/55.75 (P9(a69,x48991,x48991)),
% 55.21/55.75 inference(rename_variables,[],[448])).
% 55.21/55.75 cnf(4902,plain,
% 55.21/55.75 (P9(a69,x49021,f12(a69,x49022,x49021))),
% 55.21/55.75 inference(rename_variables,[],[495])).
% 55.21/55.75 cnf(4903,plain,
% 55.21/55.75 (P9(a69,x49031,x49031)),
% 55.21/55.75 inference(rename_variables,[],[448])).
% 55.21/55.75 cnf(4921,plain,
% 55.21/55.75 (P10(a70,f8(a70,f9(a70,f10(a70,x49211),x49212)),f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x49212,f10(a70,x49211))),f4(a70))),f4(a70)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,568,375,405,563,510,459,447,4084,4195,448,4121,4125,4270,4275,4363,4594,4814,4899,449,4541,590,219,221,227,230,231,235,238,262,265,296,303,316,321,322,386,387,417,463,4120,4124,4184,4362,4557,593,583,588,495,4128,4131,4208,4323,497,600,4518,601,479,4443,440,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,516,407,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,208,371,314,599,4374,4411,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3305,3768,3758,3529,2691,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,2177,3335,2105,4546,2108,4477,3849,1959,1896,1899,2406,4257,2408,4109,4524,2091,2094,1823,4591,1846,2655,1990,2648,3419,3417,4174,3832,3391,4326,3379,2308,2316,2330,2332,2338,2360,2380,2386,3742,2473,3525,3762,2642,4538,2657,4114,3638,3808,3409,3752,2425,2758,3806,3195,2461,2683,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732])).
% 55.21/55.75 cnf(4923,plain,
% 55.21/55.75 (P10(a70,f9(a70,x49231,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x49231,x49232)),f4(a70))),f4(a70))),x49232)),
% 55.21/55.75 inference(rename_variables,[],[2406])).
% 55.21/55.75 cnf(4930,plain,
% 55.21/55.75 (P9(a70,x49301,x49301)),
% 55.21/55.75 inference(rename_variables,[],[449])).
% 55.21/55.75 cnf(4933,plain,
% 55.21/55.75 (P9(a70,x49331,x49331)),
% 55.21/55.75 inference(rename_variables,[],[449])).
% 55.21/55.75 cnf(4942,plain,
% 55.21/55.75 (P9(a1,x49421,x49421)),
% 55.21/55.75 inference(rename_variables,[],[447])).
% 55.21/55.75 cnf(4945,plain,
% 55.21/55.75 (P9(a1,x49451,x49451)),
% 55.21/55.75 inference(rename_variables,[],[447])).
% 55.21/55.75 cnf(4950,plain,
% 55.21/55.75 (P9(a69,x49501,f12(a69,x49502,x49501))),
% 55.21/55.75 inference(rename_variables,[],[495])).
% 55.21/55.75 cnf(4951,plain,
% 55.21/55.75 (P9(a69,x49511,x49511)),
% 55.21/55.75 inference(rename_variables,[],[448])).
% 55.21/55.75 cnf(4963,plain,
% 55.21/55.75 (P9(a70,f9(a70,x49631,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x49631,f12(a70,x49632,f4(a70)))),f4(a70))),f4(a70))),x49632)),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,568,375,405,563,510,459,447,4084,4195,4942,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,449,4541,4867,4930,590,219,221,227,230,231,235,238,262,265,296,303,316,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,593,583,588,495,4128,4131,4208,4323,4902,497,600,4518,601,479,4443,440,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3201,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,2177,3335,2105,4546,2108,4477,3849,1959,1896,1899,2406,4257,4923,2408,4109,4524,2091,2094,1823,4591,1846,2655,1990,2648,3419,3417,4174,3832,3391,4326,3379,2308,2316,2330,2332,2338,2360,2380,2386,3742,2473,3525,3762,3259,2642,4538,2657,4114,3638,3808,3409,3752,2425,2758,3806,3195,2461,2683,2699,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364])).
% 55.21/55.75 cnf(4964,plain,
% 55.21/55.75 (P10(a70,f9(a70,x49641,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x49641,x49642)),f4(a70))),f4(a70))),x49642)),
% 55.21/55.75 inference(rename_variables,[],[2406])).
% 55.21/55.75 cnf(4966,plain,
% 55.21/55.75 (P10(a69,f12(a69,a78,f4(a69)),f12(a69,x49661,f5(a2,a73)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,568,375,405,563,510,459,447,4084,4195,4942,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,449,4541,4867,4930,590,219,221,227,230,231,235,238,262,265,296,303,316,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,593,583,588,495,4128,4131,4208,4323,4902,497,600,4518,601,479,4443,440,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3201,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,2177,3335,2105,4546,2108,4477,3849,1959,1896,1899,2406,4257,4923,2408,4109,4524,2091,2094,1823,4591,1846,2655,1990,2648,3419,3417,4174,3832,3391,4326,3379,2308,2316,2330,2332,2338,2360,2380,2386,3742,2473,3525,3762,3259,2642,4538,2657,4114,3638,3808,3409,3752,2425,2758,3806,3195,2461,2683,2699,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252])).
% 55.21/55.75 cnf(4974,plain,
% 55.21/55.75 (~P9(a69,f25(f27(a69,f12(a69,f5(a2,a73),x49741))),x49741)),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,568,375,405,563,510,459,447,4084,4195,4942,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,449,4541,4867,4930,590,219,221,227,230,231,235,238,262,265,296,303,316,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,593,583,588,495,4128,4131,4208,4323,4902,497,600,4518,601,479,4443,440,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3201,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,2177,3335,2105,4546,2108,4477,3849,1959,1896,1899,2406,4257,4923,2408,4109,4524,2091,2094,1823,4591,1846,2655,1990,2648,3419,3417,4174,3832,3391,4326,3379,2308,2316,2330,2332,2338,2360,2380,2386,3742,2473,3525,3762,3259,2642,4538,2657,4114,3638,3808,3409,3752,2425,2758,3806,3195,2410,2461,2683,2699,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421])).
% 55.21/55.75 cnf(4976,plain,
% 55.21/55.75 (P10(a70,x49761,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x49761,f3(a70))),f4(a70))),f4(a70)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,568,375,405,563,510,459,447,4084,4195,4942,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,449,4541,4867,4930,590,219,221,227,230,231,235,238,262,265,296,303,316,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,593,583,588,495,4128,4131,4208,4323,4902,497,600,4518,601,479,4443,440,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3201,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,2177,3335,2105,4546,2108,4477,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,2094,1823,4591,1846,2655,1990,2648,3419,3417,4174,3832,3391,4326,3379,2308,2316,2330,2332,2338,2360,2380,2386,3742,2473,3525,3762,3259,2642,4538,2657,4114,3638,3808,3409,3752,2425,2758,3806,3195,2410,2461,2683,2699,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360])).
% 55.21/55.75 cnf(4979,plain,
% 55.21/55.75 (E(x49791,f12(a69,x49791,f54(f54(f11(a69),f9(a69,f12(a69,a78,f4(a69)),f12(a69,a78,f4(a69)))),x49792)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,568,375,405,563,510,459,447,4084,4195,4942,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,449,4541,4867,4930,590,219,221,227,230,231,235,238,262,265,296,303,316,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,593,583,588,495,4128,4131,4208,4323,4902,497,600,4518,601,479,4443,440,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2266,2838,4625,3879,3924,3927,3209,1916,1981,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3201,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,2177,3335,2105,4546,2108,4477,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,2094,1823,4591,1846,2655,1990,2648,3419,3417,4174,3832,3391,4326,3379,2308,2316,2330,2332,2338,2360,2380,2386,3742,2473,3525,3762,3259,2642,4538,2657,4114,3638,3808,3409,3752,2425,2758,3806,3195,2410,2461,2683,2699,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067])).
% 55.21/55.75 cnf(4985,plain,
% 55.21/55.75 (E(f54(f54(f11(a1),x49851),x49852),f54(f54(f11(a1),x49852),x49851))),
% 55.21/55.75 inference(rename_variables,[],[481])).
% 55.21/55.75 cnf(4987,plain,
% 55.21/55.75 (E(f54(f54(f11(a1),x49871),x49872),f54(f54(f11(a1),x49872),x49871))),
% 55.21/55.75 inference(rename_variables,[],[481])).
% 55.21/55.75 cnf(4997,plain,
% 55.21/55.75 (P9(a1,f3(a1),f27(a69,x49971))),
% 55.21/55.75 inference(rename_variables,[],[479])).
% 55.21/55.75 cnf(5001,plain,
% 55.21/55.75 (~P9(a1,f54(f54(f11(a1),f26(a1,f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74))),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))),f54(f54(f11(a1),f26(a1,f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74))),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,481,4985,568,375,405,563,510,459,447,4084,4195,4942,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,449,4541,4867,4930,590,219,221,227,230,231,235,238,262,265,296,303,316,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,593,583,588,495,4128,4131,4208,4323,4902,497,600,4518,601,479,4443,440,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3851,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3201,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,2177,3335,2105,4546,2108,4477,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,2094,1823,4591,1846,2655,2653,1990,2648,3419,3417,4174,3832,3391,4326,3379,2308,2316,2330,2332,2338,2360,2380,2386,3742,2473,3525,3762,3259,2642,4538,2657,4114,3638,2818,3808,3409,3752,2425,2758,3806,3195,2410,2461,2683,2699,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629])).
% 55.21/55.75 cnf(5007,plain,
% 55.21/55.75 (P10(a1,f3(a1),f28(f10(a1,f9(a1,f3(a1),a2)),f10(a70,f10(a70,f12(a70,f4(a70),f10(a70,f3(f10(a1,f9(a1,f3(a1),a2)))))))))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,481,4985,568,375,405,563,510,459,447,4084,4195,4942,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,449,4541,4867,4930,590,219,221,227,230,231,235,238,262,265,296,303,316,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,593,583,588,495,4128,4131,4208,4323,4902,497,600,4518,601,479,4443,440,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3851,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3201,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,2177,3335,2105,4546,2108,4477,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,2094,1823,4591,1846,2655,2653,1990,2648,3419,3417,4174,3832,3391,4326,3379,2308,2316,2330,2332,2338,2360,2380,2386,3742,2473,3525,3762,3259,2642,4538,2657,4114,3638,2818,3808,3409,3752,2425,2758,3806,3195,2410,2461,2683,2699,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887])).
% 55.21/55.75 cnf(5013,plain,
% 55.21/55.75 (~E(f54(f54(f21(f72(a1)),f12(f72(a1),f23(a1,x50131,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x50132,f12(a1,f3(f72(a1)),f4(a1))))),x50133),f3(f72(a1)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,481,4985,568,375,405,563,510,459,447,4084,4195,4942,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,449,4541,4867,4930,590,219,221,227,230,231,235,238,262,265,296,303,316,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,593,583,588,495,4128,4131,4208,4323,4902,497,600,4518,601,479,4443,440,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3851,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3201,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,2177,3335,2105,4546,2108,4477,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,2094,1823,4591,1846,2655,2653,1990,2648,3419,3417,4174,3832,3391,4326,3379,2308,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,2657,4114,3638,2818,3808,3409,3752,2425,2758,3806,3195,2410,2461,2683,2699,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914])).
% 55.21/55.75 cnf(5018,plain,
% 55.21/55.75 (E(f54(f54(f22(x50181,x50182,x50183),x50184),f3(a69)),x50182)),
% 55.21/55.75 inference(rename_variables,[],[517])).
% 55.21/55.75 cnf(5022,plain,
% 55.21/55.75 (~P9(f72(a1),f54(f54(f11(f72(a1)),f12(f72(a1),f23(a1,x50221,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x50222,f12(a1,f3(f72(a1)),f4(a1))))),f12(f72(a1),f23(a1,x50221,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x50222,f12(a1,f3(f72(a1)),f4(a1))))),f3(f72(a1)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,481,4985,568,375,405,563,510,459,447,4084,4195,4942,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,449,4541,4867,4930,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,593,583,588,495,4128,4131,4208,4323,4902,497,600,4518,601,479,4443,440,498,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3851,3229,1813,3930,4096,4099,4117,2232,3666,3654,3253,2599,3201,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,2177,3335,2105,4546,2108,4477,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,2094,1823,4591,1846,2655,2653,1990,2648,3419,3417,4174,3832,3391,4326,3379,2308,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,2657,4114,3638,2818,3808,3409,3752,2425,2758,3806,3195,2410,2461,2683,2699,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315])).
% 55.21/55.75 cnf(5026,plain,
% 55.21/55.75 (~E(f54(f54(f11(f72(a1)),f12(f72(a1),f23(a1,x50261,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x50262,f12(a1,f3(f72(a1)),f4(a1))))),f12(f72(a1),f23(a1,x50261,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x50262,f12(a1,f3(f72(a1)),f4(a1))))),f3(f72(a1)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,481,4985,568,375,405,563,510,459,447,4084,4195,4942,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,449,4541,4867,4930,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,593,583,588,495,4128,4131,4208,4323,4902,497,600,4518,601,479,4443,440,498,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3851,3229,1813,3930,4096,4099,4117,2232,3666,3654,3333,3253,2599,3201,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,2177,3335,2105,4546,2108,4477,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,2094,1823,4591,1846,2655,2653,1990,2648,3419,3417,4174,3832,3391,4326,3379,2308,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,2657,4114,3638,2818,3808,3409,3752,2425,2758,3806,3195,2410,2461,2683,2699,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811])).
% 55.21/55.75 cnf(5030,plain,
% 55.21/55.75 (P10(f72(a1),f3(f72(a1)),f12(f72(a1),f54(f54(f11(f72(a1)),f12(f72(a1),f23(a1,x50301,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x50302,f12(a1,f3(f72(a1)),f4(a1))))),f12(f72(a1),f23(a1,x50301,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x50302,f12(a1,f3(f72(a1)),f4(a1))))),f54(f54(f11(f72(a1)),x50303),x50303)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,481,4985,568,375,405,563,510,459,447,4084,4195,4942,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,449,4541,4867,4930,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,593,583,588,495,4128,4131,4208,4323,4902,497,600,4518,601,479,4443,440,498,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3851,3229,1813,3930,4096,4099,4117,2232,3666,3654,3333,3253,2599,3201,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,2177,3335,2105,4546,2108,4477,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,2094,1823,4591,1846,2655,2653,1990,2648,3419,3417,4174,3832,3391,4326,3379,2308,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,2657,4114,3638,2818,3808,3409,3752,2425,2758,3806,3195,2410,2461,2683,2699,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693])).
% 55.21/55.75 cnf(5036,plain,
% 55.21/55.75 (P9(a69,f3(a69),x50361)),
% 55.21/55.75 inference(rename_variables,[],[463])).
% 55.21/55.75 cnf(5046,plain,
% 55.21/55.75 (E(f12(a69,x50461,f3(a69)),x50461)),
% 55.21/55.75 inference(rename_variables,[],[464])).
% 55.21/55.75 cnf(5049,plain,
% 55.21/55.75 (P9(a1,x50491,x50491)),
% 55.21/55.75 inference(rename_variables,[],[447])).
% 55.21/55.75 cnf(5051,plain,
% 55.21/55.75 (~E(f12(a69,f12(a69,f5(a1,f12(a1,f3(f72(a1)),f4(a1))),f3(a69)),f12(a69,f5(a1,f12(a1,f3(f72(a1)),f4(a1))),f3(a69))),f3(a69))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,481,4985,568,375,405,563,510,459,447,4084,4195,4942,4945,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,449,4541,4867,4930,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,593,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,601,479,4443,440,498,464,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3851,3229,1813,3930,4096,4099,4117,2232,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,2177,3335,2105,4546,2108,4477,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,2094,1823,4591,1846,2655,2653,1990,2648,3419,3417,4174,3832,3391,4326,3379,2308,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3752,2425,2758,3806,3195,2410,2461,2683,2699,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346])).
% 55.21/55.75 cnf(5056,plain,
% 55.21/55.75 (P9(a1,f3(a1),f27(a69,x50561))),
% 55.21/55.75 inference(rename_variables,[],[479])).
% 55.21/55.75 cnf(5059,plain,
% 55.21/55.75 (P9(a69,x50591,x50591)),
% 55.21/55.75 inference(rename_variables,[],[448])).
% 55.21/55.75 cnf(5068,plain,
% 55.21/55.75 (~P9(a69,f12(a69,x50681,f5(a2,a73)),f12(a69,x50681,f12(a69,a78,f4(a69))))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,481,4985,568,375,405,563,510,459,447,4084,4195,4942,4945,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,449,4541,4867,4930,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,601,479,4443,4997,440,498,464,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,2177,3335,2105,4546,2108,4477,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,2094,1823,4591,1846,2655,2653,1990,2648,3419,3417,4174,3832,3391,4326,3379,2308,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3752,2425,2758,3806,3195,2410,2461,2683,2699,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598])).
% 55.21/55.75 cnf(5086,plain,
% 55.21/55.75 (P10(f72(a1),f12(f72(a1),f3(f72(a1)),x50861),f12(f72(a1),f12(f72(a1),f54(f54(f11(f72(a1)),f12(f72(a1),f23(a1,x50862,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x50863,f12(a1,f3(f72(a1)),f4(a1))))),f12(f72(a1),f23(a1,x50862,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x50863,f12(a1,f3(f72(a1)),f4(a1))))),f54(f54(f11(f72(a1)),x50864),x50864)),x50861))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,481,4985,568,375,405,563,510,459,447,4084,4195,4942,4945,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,449,4541,4867,4930,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,601,479,4443,4997,440,498,464,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,2177,3335,2105,4546,2108,4477,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,2094,1823,4591,1846,2655,2653,1990,2648,3419,3417,4174,3832,3391,4326,3379,2308,2310,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3575,3752,2425,2758,3806,3195,2410,2461,2683,2699,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441])).
% 55.21/55.75 cnf(5092,plain,
% 55.21/55.75 (~P10(a1,f12(a1,f8(a1,f10(a1,f3(a1))),f4(a1)),f3(a1))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,481,4985,568,375,405,563,510,459,447,4084,4195,4942,4945,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,449,4541,4867,4930,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,601,479,4443,4997,440,498,464,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,2177,3335,2105,4546,2108,4477,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,2094,1823,4591,1846,2655,2653,1990,2648,3419,3417,4174,2001,3832,3391,4326,3379,2308,2310,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3575,3752,2425,2758,3806,3195,2410,2461,2683,2699,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139])).
% 55.21/55.75 cnf(5096,plain,
% 55.21/55.75 (~P10(a70,f3(a70),f54(f54(f11(a70),f10(a70,f3(a70))),f10(a70,f3(a70))))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,481,4985,568,375,405,563,510,459,447,4084,4195,4942,4945,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,449,4541,4867,4930,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,601,479,4443,4997,440,498,464,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,3702,1837,2174,4132,4209,4469,4573,4584,2177,3335,2105,4546,2108,4477,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,2094,1823,4591,1846,2655,2653,1990,2648,3419,3417,4174,2001,3832,3391,4326,3379,2308,2310,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2758,3806,3195,2410,2461,2683,2699,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311])).
% 55.21/55.75 cnf(5098,plain,
% 55.21/55.75 (P10(a69,f12(a69,f54(f54(f11(a69),x50981),x50982),x50983),f12(a69,f54(f54(f11(a69),x50981),x50982),f14(f12(a1,f27(a69,f12(a69,f54(f54(f11(a69),f9(a69,x50981,x50981)),x50982),x50983)),f4(a1)))))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,481,4985,568,375,405,563,510,459,447,4084,4195,4942,4945,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,601,479,4443,4997,440,498,464,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,3702,1837,2174,4132,4209,4469,4573,4584,2177,3335,2105,4546,2108,4477,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,2094,1823,4591,1846,2655,2653,1990,2648,3419,3417,4174,2001,3832,3391,4326,3379,2308,2310,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2758,3806,3195,2410,2461,2683,2699,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793])).
% 55.21/55.75 cnf(5099,plain,
% 55.21/55.75 (P10(a69,x50991,f14(f12(a1,f27(a69,x50991),f4(a1))))),
% 55.21/55.75 inference(rename_variables,[],[1861])).
% 55.21/55.75 cnf(5104,plain,
% 55.21/55.75 (~P10(a69,f12(a69,x51041,x51042),x51042)),
% 55.21/55.75 inference(rename_variables,[],[600])).
% 55.21/55.75 cnf(5105,plain,
% 55.21/55.75 (P9(a69,f12(a69,f54(f54(f11(a69),f9(a69,f3(a69),f3(a69))),x51051),x51052),x51052)),
% 55.21/55.75 inference(rename_variables,[],[2108])).
% 55.21/55.75 cnf(5107,plain,
% 55.21/55.75 (P10(a70,f12(a70,f3(a70),f3(a70)),f12(a70,f4(a70),f4(a70)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,481,4985,568,375,405,563,510,459,447,4084,4195,4942,4945,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,601,479,4443,4997,440,498,464,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,394,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,3702,1837,2174,4132,4209,4469,4573,4584,2177,3335,2105,4546,2108,4477,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,2094,1823,4591,1846,2655,2653,1990,2648,3419,3417,4174,2001,3832,3391,4326,3379,2308,2310,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2758,3806,3195,2410,2461,2683,2699,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558])).
% 55.21/55.75 cnf(5112,plain,
% 55.21/55.75 (P10(a70,f10(a70,f4(a70)),f3(a70))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,481,4985,568,375,405,563,510,459,447,4084,4195,4942,4945,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,601,479,4443,4997,440,498,464,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,394,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,3702,1837,2174,4132,4209,4469,4573,4584,2177,3335,2105,4546,2108,4477,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,2094,1823,4591,1846,2655,2653,1990,2648,3419,3417,4174,2001,3832,3391,4326,3379,2308,2310,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2758,3806,3195,2410,2461,2683,2699,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954])).
% 55.21/55.75 cnf(5116,plain,
% 55.21/55.75 (P10(f72(a1),f10(f72(a1),f12(f72(a1),f54(f54(f11(f72(a1)),f12(f72(a1),f23(a1,x51161,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x51162,f12(a1,f3(f72(a1)),f4(a1))))),f12(f72(a1),f23(a1,x51161,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x51162,f12(a1,f3(f72(a1)),f4(a1))))),f54(f54(f11(f72(a1)),x51163),x51163))),f3(f72(a1)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,481,4985,568,375,405,563,510,459,447,4084,4195,4942,4945,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,601,479,4443,4997,440,498,464,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,394,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,3702,1837,2174,4132,4209,4469,4573,4584,2177,3335,2105,4546,2108,4477,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,2094,1823,4591,1846,2655,2653,1990,2648,3419,3417,4174,2001,3832,3391,4326,3379,2308,2310,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2758,3806,3195,2410,2461,2683,2699,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151])).
% 55.21/55.75 cnf(5124,plain,
% 55.21/55.75 (~P9(a69,f12(a69,f5(a2,a73),f12(a69,x51241,x51242)),x51242)),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,481,4985,568,375,405,563,510,459,447,4084,4195,4942,4945,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,601,479,4443,4997,440,498,464,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,394,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,3702,1837,2174,4132,4209,4469,4573,4584,4745,2177,3335,2105,4546,2108,4477,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,2094,1823,4591,1846,2655,2653,1990,2648,3419,3417,4174,2001,3832,3391,4326,3379,2308,2310,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2758,3806,3195,2410,2461,2683,2699,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256])).
% 55.21/55.75 cnf(5125,plain,
% 55.21/55.75 (~P9(a69,f12(a69,f5(a2,a73),x51251),x51251)),
% 55.21/55.75 inference(rename_variables,[],[2174])).
% 55.21/55.75 cnf(5127,plain,
% 55.21/55.75 (~P9(a69,f14(f27(a69,f5(a2,a73))),f12(a69,a78,f4(a69)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,481,4985,568,375,405,563,510,459,447,4084,4195,4942,4945,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,601,479,4443,4997,5056,440,498,464,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,394,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,3702,1837,2174,4132,4209,4469,4573,4584,4745,2177,3335,2105,4546,2108,4477,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,2094,1823,4591,1846,2655,2653,1990,2648,3419,3417,4174,2001,3832,3391,4326,3379,2308,2310,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2758,3806,3195,2410,2461,2683,2699,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292])).
% 55.21/55.75 cnf(5134,plain,
% 55.21/55.75 (~P9(a70,f4(a70),f9(a70,f3(a70),f4(a70)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,481,4985,568,375,405,563,510,459,447,4084,4195,4942,4945,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,601,479,4443,4997,5056,440,498,464,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,394,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,3702,1837,2174,4132,4209,4469,4573,4584,4745,2177,3335,2105,4546,2108,4477,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,2094,1823,4591,1846,2655,2653,1990,2648,3419,3417,4174,2001,3832,3391,4326,3379,2308,2310,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2758,3806,3195,2410,2461,2683,2699,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363])).
% 55.21/55.75 cnf(5138,plain,
% 55.21/55.75 (~P50(a69)),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,481,4985,568,375,405,563,510,459,447,4084,4195,4942,4945,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,601,479,4443,4997,5056,440,498,464,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,394,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,2177,3335,2105,4546,2108,4477,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,2094,1823,4591,1846,2655,2653,1990,2648,3419,3417,4174,2001,3832,3391,4326,3379,2308,2310,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2758,3806,3195,2410,2461,2683,2699,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709])).
% 55.21/55.75 cnf(5139,plain,
% 55.21/55.75 (~P10(a69,x51391,f3(a69))),
% 55.21/55.75 inference(rename_variables,[],[593])).
% 55.21/55.75 cnf(5143,plain,
% 55.21/55.75 (~P10(a69,f12(a69,x51431,x51432),x51432)),
% 55.21/55.75 inference(rename_variables,[],[600])).
% 55.21/55.75 cnf(5146,plain,
% 55.21/55.75 (P9(a70,x51461,x51461)),
% 55.21/55.75 inference(rename_variables,[],[449])).
% 55.21/55.75 cnf(5148,plain,
% 55.21/55.75 (~P10(a1,f54(f54(f11(a1),f9(a1,f9(a1,x51481,x51482),f9(a1,x51481,x51482))),x51483),f3(a1))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,481,4985,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,4933,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,601,479,4443,4997,5056,440,498,464,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,394,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,2094,1823,4591,1846,2655,2653,1990,2648,3419,3417,4174,2001,3832,3391,4326,3379,2308,2310,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2758,3806,3195,2410,2461,2683,2699,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472])).
% 55.21/55.75 cnf(5149,plain,
% 55.21/55.75 (P9(a1,x51491,x51491)),
% 55.21/55.75 inference(rename_variables,[],[447])).
% 55.21/55.75 cnf(5151,plain,
% 55.21/55.75 (~P10(a1,f4(a1),f54(f54(f11(a1),a81),f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,564,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,481,4985,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,4933,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,601,479,4443,4997,5056,440,498,464,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,394,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,2094,1823,4591,1846,2655,2653,1990,2648,3419,3417,4174,2001,3832,3391,4326,3379,2308,2310,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2758,3806,3195,2410,2461,2683,2699,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472,1093])).
% 55.21/55.75 cnf(5154,plain,
% 55.21/55.75 (P9(a1,x51541,x51541)),
% 55.21/55.75 inference(rename_variables,[],[447])).
% 55.21/55.75 cnf(5156,plain,
% 55.21/55.75 (~P9(a70,f12(a70,x51561,f4(a70)),f12(a70,x51561,f3(a70)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,579,526,562,561,564,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,481,4985,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,5149,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,4933,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,601,479,4443,4997,5056,440,498,464,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,394,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,2094,1823,4591,1846,2655,2653,1990,2648,3419,3417,4174,2001,3832,3391,4326,3379,2308,2310,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2427,2758,3806,3195,2410,2461,2683,2699,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472,1093,1293,1608])).
% 55.21/55.75 cnf(5160,plain,
% 55.21/55.75 (E(f12(a69,x51601,f3(a69)),x51601)),
% 55.21/55.75 inference(rename_variables,[],[464])).
% 55.21/55.75 cnf(5161,plain,
% 55.21/55.75 (~P24(f12(a69,a69,f3(a69)))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,596,579,526,562,561,564,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,481,4985,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,5149,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,4933,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,601,479,4443,4997,5056,440,498,464,5046,5160,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,394,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,2094,1823,4591,1846,2655,2653,1990,2648,3419,3417,4174,2001,3832,3391,4326,3379,2308,2310,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2427,2758,3806,3195,2410,2461,2683,2699,1970,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472,1093,1293,1608,8,181,173])).
% 55.21/55.75 cnf(5162,plain,
% 55.21/55.75 (P14(a69,f10(a2,f54(f54(f11(a70),f4(a70)),f10(a2,f54(f11(a69),f3(a69))))))),
% 55.21/55.75 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,596,579,526,562,561,564,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,481,4985,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,5149,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,4933,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,601,479,4443,4997,5056,440,498,464,5046,5160,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,394,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,2094,1823,4591,1846,2655,2653,1990,2648,3419,3417,4174,2001,3832,3391,4326,3379,2308,2310,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2427,2758,3806,3195,2410,2461,2683,2699,1970,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472,1093,1293,1608,8,181,173,157])).
% 55.21/55.75 cnf(5163,plain,
% 55.21/55.75 (~P16(f12(a69,a69,f3(a69)))),
% 55.21/55.76 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,596,579,526,562,561,564,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,481,4985,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,5149,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,4933,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,601,479,4443,4997,5056,440,498,464,5046,5160,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,394,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,2094,1823,4591,1846,2655,2653,1990,2648,3419,3417,4174,2001,3832,3391,4326,3379,2308,2310,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2427,2758,3806,3195,2410,2461,2683,2699,1967,1970,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472,1093,1293,1608,8,181,173,157,147])).
% 55.21/55.76 cnf(5165,plain,
% 55.21/55.76 (~P32(f12(a69,a69,f3(a69)))),
% 55.21/55.76 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,596,579,526,562,561,564,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,481,4985,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,5149,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,4933,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,601,479,4443,4997,5056,440,498,464,5046,5160,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,394,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,2094,1823,4591,1846,2655,2653,1990,2648,3419,3417,4174,2001,3832,3391,4326,3379,2308,2310,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2427,2758,3806,3195,2410,2461,2683,2699,1967,1970,1996,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472,1093,1293,1608,8,181,173,157,147,133,127])).
% 55.21/55.76 cnf(5171,plain,
% 55.21/55.76 (P9(a1,x51711,f27(a69,f14(x51711)))),
% 55.21/55.76 inference(rename_variables,[],[480])).
% 55.21/55.76 cnf(5176,plain,
% 55.21/55.76 (P9(a1,x51761,x51761)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(5179,plain,
% 55.21/55.76 (P10(a1,f10(a1,f12(a1,f27(a69,f25(f10(a1,x51791))),f4(a1))),x51791)),
% 55.21/55.76 inference(rename_variables,[],[3417])).
% 55.21/55.76 cnf(5180,plain,
% 55.21/55.76 (P10(a1,f9(a1,x51801,f12(a1,f27(a69,f25(f8(a1,f9(a1,x51802,x51801)))),f4(a1))),x51802)),
% 55.21/55.76 inference(rename_variables,[],[2091])).
% 55.21/55.76 cnf(5191,plain,
% 55.21/55.76 (~P10(a70,x51911,f12(a70,x51911,f3(a70)))),
% 55.21/55.76 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,596,579,526,562,561,564,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,481,4985,4987,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,5149,5154,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,4933,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,601,479,4443,4997,5056,440,480,5171,498,464,5046,5160,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,394,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,5180,2094,1823,4591,1846,2655,2653,1990,2648,3415,3419,3417,4174,4278,2001,3832,3391,4326,3379,2308,2310,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2427,2758,3806,3195,2410,2461,2683,2699,1967,1970,1996,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472,1093,1293,1608,8,181,173,157,147,133,127,119,830,1587,1205,1739,1341,1342,1389,1344,1277])).
% 55.21/55.76 cnf(5193,plain,
% 55.21/55.76 (~E(f9(a70,f4(a70),f3(a70)),f3(a70))),
% 55.21/55.76 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,596,579,526,562,561,564,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,481,4985,4987,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,5149,5154,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,4933,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,601,479,4443,4997,5056,440,480,5171,498,464,5046,5160,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,394,213,234,248,252,290,385,418,454,496,602,4480,433,458,393,206,259,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,5180,2094,1823,4591,1846,2655,2653,1990,2648,3415,3419,3417,4174,4278,2001,3832,3391,4326,3379,2308,2310,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2427,2758,3806,3195,2410,2461,2683,2699,1967,1970,1996,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472,1093,1293,1608,8,181,173,157,147,133,127,119,830,1587,1205,1739,1341,1342,1389,1344,1277,836])).
% 55.21/55.76 cnf(5203,plain,
% 55.21/55.76 (P13(a1,x52031,f54(f54(f11(a1),x52032),f10(a1,f54(f54(f11(a1),x52033),x52031))))),
% 55.21/55.76 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,596,579,526,562,561,564,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,481,4985,4987,535,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,5149,5154,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,4933,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,601,479,4443,4997,5056,440,480,5171,498,464,5046,5160,465,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,394,213,234,248,252,290,385,418,454,496,602,4480,4485,433,458,393,206,259,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3319,3176,2636,3255,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,5180,2094,1823,4591,1846,2655,2653,1990,2648,3415,3419,3417,4174,4278,2001,3832,3391,4326,3379,2308,2310,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2427,2758,3806,3195,2410,2461,2683,2699,1967,1970,1996,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472,1093,1293,1608,8,181,173,157,147,133,127,119,830,1587,1205,1739,1341,1342,1389,1344,1277,836,1212,1210,1366,1362])).
% 55.21/55.76 cnf(5208,plain,
% 55.21/55.76 (P9(a1,f28(a2,f54(f15(a2,a73),a75)),f28(a2,f54(f15(a2,a73),x52081)))),
% 55.21/55.76 inference(rename_variables,[],[530])).
% 55.21/55.76 cnf(5215,plain,
% 55.21/55.76 (P9(f72(a1),f12(f72(a1),x52151,f12(f72(a1),f5(a2,a32),x52152)),f12(f72(a1),x52151,f12(f72(a1),f5(a2,a73),x52152)))),
% 55.21/55.76 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,596,579,526,562,561,564,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,530,481,4985,4987,535,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,5149,5154,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,4933,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,601,479,4443,4997,5056,440,480,5171,498,464,5046,5160,465,4851,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,394,213,234,248,252,290,385,418,454,496,494,602,4480,4485,433,458,393,206,259,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3319,3176,2636,3255,3257,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3383,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,5180,2094,1823,4591,1846,2655,2653,1990,2648,3415,3419,3417,4174,4278,2001,3832,3391,4326,3379,2308,2310,2314,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2427,2758,3806,3195,2410,2461,2683,2699,1967,1970,1996,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472,1093,1293,1608,8,181,173,157,147,133,127,119,830,1587,1205,1739,1341,1342,1389,1344,1277,836,1212,1210,1366,1362,1128,1327,719,700,1442])).
% 55.21/55.76 cnf(5217,plain,
% 55.21/55.76 (~P12(a1,f9(f72(a1),f3(f72(a1)),f12(f72(a1),f54(f54(f11(f72(a1)),f12(f72(a1),f23(a1,x52171,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x52172,f12(a1,f3(f72(a1)),f4(a1))))),f12(f72(a1),f23(a1,x52171,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x52172,f12(a1,f3(f72(a1)),f4(a1))))),f54(f54(f11(f72(a1)),f12(f72(a1),f23(a1,x52171,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x52172,f12(a1,f3(f72(a1)),f4(a1))))),f12(f72(a1),f23(a1,x52171,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x52172,f12(a1,f3(f72(a1)),f4(a1))))))))),
% 55.21/55.76 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,596,579,526,562,561,564,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,530,481,4985,4987,535,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,5149,5154,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,4933,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,601,479,4443,4997,5056,440,480,5171,498,464,5046,5160,465,4851,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,394,213,234,248,252,290,385,418,454,496,494,602,4480,4485,433,458,393,206,259,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3319,3176,2636,3255,3257,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3383,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,5180,2094,1823,4591,1846,2655,2653,1990,2648,3415,3419,3417,4174,4278,2001,3832,3391,4326,3379,2308,2310,2314,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2427,2758,3806,3195,2410,2461,2683,2699,1967,1970,1996,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472,1093,1293,1608,8,181,173,157,147,133,127,119,830,1587,1205,1739,1341,1342,1389,1344,1277,836,1212,1210,1366,1362,1128,1327,719,700,1442,1322])).
% 55.21/55.76 cnf(5221,plain,
% 55.21/55.76 (P10(f72(a1),f3(f72(a1)),f54(f54(f11(f72(a1)),f12(f72(a1),f23(a1,x52211,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x52212,f12(a1,f3(f72(a1)),f4(a1))))),f12(f72(a1),f23(a1,x52211,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x52212,f12(a1,f3(f72(a1)),f4(a1))))))),
% 55.21/55.76 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,596,579,526,562,561,564,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,530,481,4985,4987,535,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,5149,5154,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,4933,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,324,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,601,479,4443,4997,5056,440,480,5171,498,464,5046,5160,465,4851,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,394,213,234,248,252,290,385,418,454,496,494,602,4480,4485,433,458,393,206,259,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3319,3176,2636,3255,3257,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3383,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,5180,2094,1823,4591,1846,2655,2653,1990,2648,3415,3419,3417,4174,4278,2001,3832,3391,4326,3379,2308,2310,2314,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2427,2758,3806,3195,2410,2461,2041,2683,2699,1967,1970,1996,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472,1093,1293,1608,8,181,173,157,147,133,127,119,830,1587,1205,1739,1341,1342,1389,1344,1277,836,1212,1210,1366,1362,1128,1327,719,700,1442,1322,967,1402])).
% 55.21/55.76 cnf(5223,plain,
% 55.21/55.76 (~P56(a69)),
% 55.21/55.76 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,596,579,526,562,561,564,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,530,481,4985,4987,535,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,5149,5154,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,4933,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,324,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,601,479,4443,4997,5056,440,480,5171,498,464,5046,5160,465,4851,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,394,213,234,248,252,290,385,418,454,496,494,602,4480,4485,433,458,393,206,259,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3319,3176,2636,3255,3257,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3383,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2431,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,5180,2094,1823,4591,1846,2655,2653,1990,2648,3415,3419,3417,4174,4278,2001,3832,3391,4326,3379,2308,2310,2314,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2427,2758,3806,3195,2410,2461,2041,2683,2699,1967,1970,1996,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472,1093,1293,1608,8,181,173,157,147,133,127,119,830,1587,1205,1739,1341,1342,1389,1344,1277,836,1212,1210,1366,1362,1128,1327,719,700,1442,1322,967,1402,970])).
% 55.21/55.76 cnf(5230,plain,
% 55.21/55.76 (~E(f12(a69,f5(a2,a73),x52301),x52301)),
% 55.21/55.76 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,596,579,526,562,561,564,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,530,481,4985,4987,535,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,5149,5154,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,4933,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,324,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,5143,601,479,4443,4997,5056,440,480,5171,498,464,5046,5160,465,4851,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,394,213,234,248,252,290,385,418,454,496,494,602,4480,4485,433,458,393,206,259,264,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3319,3176,2636,3255,3257,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3383,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2431,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,5125,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,5180,2094,1823,4591,1846,2655,2653,1990,2648,3415,3419,3417,4174,4278,2001,3832,3391,4326,3379,2308,2310,2314,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2427,2758,3806,3195,2410,2461,2041,2683,2699,1967,1970,1996,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472,1093,1293,1608,8,181,173,157,147,133,127,119,830,1587,1205,1739,1341,1342,1389,1344,1277,836,1212,1210,1366,1362,1128,1327,719,700,1442,1322,967,1402,970,930,1599,969])).
% 55.21/55.76 cnf(5231,plain,
% 55.21/55.76 (~P10(a69,f12(a69,x52311,x52312),x52312)),
% 55.21/55.76 inference(rename_variables,[],[600])).
% 55.21/55.76 cnf(5236,plain,
% 55.21/55.76 (E(f9(a69,x52361,f3(a69)),x52361)),
% 55.21/55.76 inference(rename_variables,[],[466])).
% 55.21/55.76 cnf(5239,plain,
% 55.21/55.76 (P9(a69,x52391,x52391)),
% 55.21/55.76 inference(rename_variables,[],[448])).
% 55.21/55.76 cnf(5244,plain,
% 55.21/55.76 (~P10(a1,f26(a1,f4(a1)),f3(a1))),
% 55.21/55.76 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,596,579,526,562,561,564,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,530,5208,481,4985,4987,535,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,5149,5154,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,4933,5146,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,324,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,5139,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,5143,601,479,4443,4997,5056,440,480,5171,498,464,5046,5160,465,4851,466,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,394,213,234,248,252,290,385,418,454,496,494,602,4480,4485,433,458,393,206,259,264,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3341,3319,3176,2636,3255,3257,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3383,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2431,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,5125,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,5180,2094,1823,4591,1846,2655,2653,1990,2648,3415,3419,3417,4174,4278,2001,3832,3391,4326,3379,2308,2310,2314,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,3339,2427,2758,3806,3195,2410,2461,2041,2683,2685,2699,1967,1970,1996,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472,1093,1293,1608,8,181,173,157,147,133,127,119,830,1587,1205,1739,1341,1342,1389,1344,1277,836,1212,1210,1366,1362,1128,1327,719,700,1442,1322,967,1402,970,930,1599,969,1355,1268,1682,1577,1188])).
% 55.21/55.76 cnf(5246,plain,
% 55.21/55.76 (~P9(a70,f12(a70,f54(f54(f11(a70),f12(a70,f9(a70,f3(a70),f4(a70)),f9(a70,f3(a70),f4(a70)))),f3(a70)),f3(a70)),f12(a70,f54(f54(f11(a70),f12(a70,f9(a70,f3(a70),f4(a70)),f9(a70,f3(a70),f4(a70)))),f4(a70)),f3(a70)))),
% 55.21/55.76 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,596,579,526,562,561,564,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,530,5208,481,4985,4987,535,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,5149,5154,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,4933,5146,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,324,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,5139,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,5143,601,479,4443,4997,5056,440,480,5171,498,464,5046,5160,465,4851,466,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,394,213,234,248,252,290,385,418,454,496,494,602,4480,4485,433,458,393,206,259,264,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3341,3319,3176,2636,3255,3257,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3383,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2431,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,5125,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,5180,2094,1823,4591,1846,2655,2653,1990,2648,3415,3419,3417,4174,4278,2001,3832,3391,4326,3379,2308,2310,2314,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,3339,2427,2758,3806,3195,2410,2461,2041,2683,2685,2699,1967,1970,1996,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472,1093,1293,1608,8,181,173,157,147,133,127,119,830,1587,1205,1739,1341,1342,1389,1344,1277,836,1212,1210,1366,1362,1128,1327,719,700,1442,1322,967,1402,970,930,1599,969,1355,1268,1682,1577,1188,1766])).
% 55.21/55.76 cnf(5251,plain,
% 55.21/55.76 (P9(f72(a1),f8(f72(a1),f9(a69,f3(f72(a1)),f3(a69))),f3(f72(a1)))),
% 55.21/55.76 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,596,579,526,562,561,564,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,530,5208,481,4985,4987,535,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,5149,5154,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,4933,5146,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,324,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,5139,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,5143,601,479,4443,4997,5056,440,480,5171,498,464,5046,5160,465,4851,466,5236,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,394,213,234,248,252,290,385,418,454,496,494,602,4480,4485,433,458,393,206,259,264,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3341,3319,3176,2636,3255,3257,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3383,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2431,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,5125,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,5180,2094,1823,4591,1846,2655,2653,1990,2648,3415,3419,3417,4174,4278,2001,3832,3391,4326,3379,2308,2310,2314,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,3339,2427,2758,3806,3195,2410,2461,2041,2683,2685,2699,1967,1970,1996,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472,1093,1293,1608,8,181,173,157,147,133,127,119,830,1587,1205,1739,1341,1342,1389,1344,1277,836,1212,1210,1366,1362,1128,1327,719,700,1442,1322,967,1402,970,930,1599,969,1355,1268,1682,1577,1188,1766,708,917])).
% 55.21/55.76 cnf(5255,plain,
% 55.21/55.76 (P10(f72(a1),f3(f72(a1)),f8(f72(a1),f12(f72(a1),f23(a1,x52551,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x52552,f12(a1,f3(f72(a1)),f4(a1))))))),
% 55.21/55.76 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,596,579,526,562,561,564,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,530,5208,481,4985,4987,535,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,5149,5154,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,4933,5146,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,324,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,5139,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,5143,601,479,4443,4997,5056,440,480,5171,498,464,5046,5160,465,4851,466,5236,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,394,213,234,248,252,290,385,418,454,496,494,602,4480,4485,433,458,393,206,259,264,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,2141,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3341,3319,3176,2636,3255,3257,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3383,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2431,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,5125,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,5180,2094,1823,4591,1846,2655,2653,1990,2648,3415,3419,3417,4174,4278,2001,3832,3391,4326,3379,2308,2310,2314,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,3339,2427,2758,3806,3195,2410,2461,2041,2683,2685,2699,1967,1970,1996,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472,1093,1293,1608,8,181,173,157,147,133,127,119,830,1587,1205,1739,1341,1342,1389,1344,1277,836,1212,1210,1366,1362,1128,1327,719,700,1442,1322,967,1402,970,930,1599,969,1355,1268,1682,1577,1188,1766,708,917,1576,911])).
% 55.21/55.76 cnf(5257,plain,
% 55.21/55.76 (~E(f8(f72(a1),f12(f72(a1),f23(a1,x52571,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x52572,f12(a1,f3(f72(a1)),f4(a1))))),f3(f72(a1)))),
% 55.21/55.76 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,596,579,526,562,561,564,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,530,5208,481,4985,4987,535,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,5149,5154,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,4933,5146,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,324,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,5139,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,5143,601,479,4443,4997,5056,440,480,5171,498,464,5046,5160,465,4851,466,5236,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,394,213,234,248,252,290,385,418,454,496,494,602,4480,4485,433,458,393,206,259,264,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,2141,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3341,3319,3176,2636,3255,3257,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3383,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2431,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,5125,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,5180,2094,1823,4591,1846,2655,2653,1990,2648,3415,3419,3417,4174,4278,2001,3832,3391,4326,3379,2308,2310,2314,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,3339,2427,2758,3806,3195,2410,2461,2041,2683,2685,2699,1967,1970,1996,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472,1093,1293,1608,8,181,173,157,147,133,127,119,830,1587,1205,1739,1341,1342,1389,1344,1277,836,1212,1210,1366,1362,1128,1327,719,700,1442,1322,967,1402,970,930,1599,969,1355,1268,1682,1577,1188,1766,708,917,1576,911,713])).
% 55.21/55.76 cnf(5259,plain,
% 55.21/55.76 (P10(a70,f54(f54(f11(a70),f4(a70)),f12(a70,f9(a70,f3(a70),f4(a70)),f9(a70,f3(a70),f4(a70)))),f54(f54(f11(a70),f4(a70)),f3(a70)))),
% 55.21/55.76 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,596,579,526,562,561,564,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,530,5208,481,4985,4987,535,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,5149,5154,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,4933,5146,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,324,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,5139,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,5143,601,479,4443,4997,5056,440,480,5171,498,464,5046,5160,465,4851,466,5236,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,394,213,234,248,252,290,385,418,454,496,494,602,4480,4485,433,458,393,206,259,264,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,2141,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3341,3319,3176,2636,3255,3257,2099,3247,2126,3241,1977,2080,3196,2282,3213,2919,3383,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2431,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,5125,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,5180,2094,1823,4591,1846,2655,2653,1990,2648,3415,3419,3417,4174,4278,2001,3832,3391,4326,3379,2308,2310,2314,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,3339,2427,2758,3806,3195,2410,2461,2041,2683,2685,2699,1967,1970,1996,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472,1093,1293,1608,8,181,173,157,147,133,127,119,830,1587,1205,1739,1341,1342,1389,1344,1277,836,1212,1210,1366,1362,1128,1327,719,700,1442,1322,967,1402,970,930,1599,969,1355,1268,1682,1577,1188,1766,708,917,1576,911,713,1571])).
% 55.21/55.76 cnf(5263,plain,
% 55.21/55.76 (P13(f72(a1),f54(f54(f21(f72(a1)),f18(a1,f10(a1,x52631),f18(a1,f4(a1),f3(f72(a1))))),f19(a1,x52631,f10(f72(a1),f10(f72(a1),x52632)))),x52632)),
% 55.21/55.76 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,596,579,526,562,561,564,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,530,5208,481,4985,4987,535,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,5149,5154,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,4933,5146,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,324,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,5139,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,5143,601,479,4443,4997,5056,440,480,5171,498,464,5046,5160,465,4851,466,5236,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,395,373,374,544,394,213,234,248,252,290,385,418,454,496,494,602,4480,4485,433,458,393,206,259,264,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,2141,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3341,3319,3176,2636,3255,3257,2099,3247,2126,3241,1977,2080,2836,3196,2282,3213,2919,3383,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2431,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,5125,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,5180,2094,1823,4591,1846,2655,2653,1990,2648,3415,3419,3417,4174,4278,2001,3832,3391,4326,3379,2308,2310,2314,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,3339,2427,2758,3806,3195,2410,2461,2041,2683,2685,2699,1967,1970,1996,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472,1093,1293,1608,8,181,173,157,147,133,127,119,830,1587,1205,1739,1341,1342,1389,1344,1277,836,1212,1210,1366,1362,1128,1327,719,700,1442,1322,967,1402,970,930,1599,969,1355,1268,1682,1577,1188,1766,708,917,1576,911,713,1571,204,1129])).
% 55.21/55.76 cnf(5271,plain,
% 55.21/55.76 (~P10(f10(a1,f9(a1,f3(a1),a70)),f3(f10(a1,f9(a1,f3(a1),a70))),f8(f10(a1,f9(a1,f3(a1),a70)),f54(f54(f11(a1),f4(a1)),f3(f10(a1,f9(a1,f3(a1),a70))))))),
% 55.21/55.76 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,596,579,526,562,561,564,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,530,5208,481,4985,4987,535,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,5149,5154,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,449,4541,4867,4930,4933,5146,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,324,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,5139,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,5143,601,479,4443,4997,5056,440,480,5171,498,464,5046,5160,465,4851,466,5236,467,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,450,395,373,374,544,394,213,234,248,252,290,385,418,454,496,494,602,4480,4485,433,458,393,206,259,264,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,2141,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3341,3319,3176,2636,3255,3257,2099,3247,2126,3241,1977,2080,2836,3196,2282,3213,2919,3383,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2431,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,5125,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,5180,2094,1823,4591,1846,2655,2653,1990,2648,3415,3419,3417,4174,4278,2001,3832,3391,4326,3379,2308,2310,2314,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,3339,2427,2758,3806,3195,2410,2461,2041,2683,2685,2699,1967,1970,1996,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472,1093,1293,1608,8,181,173,157,147,133,127,119,830,1587,1205,1739,1341,1342,1389,1344,1277,836,1212,1210,1366,1362,1128,1327,719,700,1442,1322,967,1402,970,930,1599,969,1355,1268,1682,1577,1188,1766,708,917,1576,911,713,1571,204,1129,679,1511,1176,1057])).
% 55.21/55.76 cnf(5279,plain,
% 55.21/55.76 (P9(a69,x52791,x52791)),
% 55.21/55.76 inference(rename_variables,[],[448])).
% 55.21/55.76 cnf(5281,plain,
% 55.21/55.76 (~P10(a1,f10(a1,f10(a1,f12(a1,f27(a69,f25(f10(a1,f3(a1)))),f4(a1)))),f3(a1))),
% 55.21/55.76 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,596,579,526,562,561,564,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,530,5208,481,4985,4987,535,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,5149,5154,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,5239,449,4541,4867,4930,4933,5146,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,324,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,5139,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,5143,5231,601,479,4443,4997,5056,440,480,5171,498,464,5046,5160,465,4851,466,5236,467,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,450,395,373,374,544,394,213,234,248,252,290,385,418,454,496,494,602,4480,4485,433,458,393,206,259,264,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,2141,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3341,3319,3176,2636,3255,3257,2099,3247,2126,3241,1977,2080,2836,3196,2282,3213,2919,3383,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2431,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,5125,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,5180,2094,1823,4591,1846,2655,2653,1990,2648,3415,3419,3417,4174,4278,5179,2001,3832,3391,4326,3379,2308,2310,2314,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2671,3339,2427,2758,3806,3195,2410,2461,2041,2683,2685,2699,1967,1970,1996,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472,1093,1293,1608,8,181,173,157,147,133,127,119,830,1587,1205,1739,1341,1342,1389,1344,1277,836,1212,1210,1366,1362,1128,1327,719,700,1442,1322,967,1402,970,930,1599,969,1355,1268,1682,1577,1188,1766,708,917,1576,911,713,1571,204,1129,679,1511,1176,1057,968,1138,1706,1353])).
% 55.21/55.76 cnf(5288,plain,
% 55.21/55.76 (P9(a1,x52881,x52881)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(5303,plain,
% 55.21/55.76 (~E(f26(f10(a1,f9(a1,f3(a1),a1)),f12(a69,f3(f10(a1,f9(a1,f3(a1),a1))),f5(a1,f12(a1,f3(f72(a1)),f4(a1))))),f3(f10(a1,f9(a1,f3(a1),a1))))),
% 55.21/55.76 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,596,579,526,562,561,564,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,530,5208,481,4985,4987,535,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,5149,5154,5176,5288,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,5239,449,4541,4867,4930,4933,5146,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,324,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,5139,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,5143,5231,601,479,4443,4997,5056,440,480,5171,498,464,5046,5160,465,4851,466,5236,467,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,450,395,373,374,544,394,213,234,248,252,290,385,418,454,496,441,494,602,4480,4485,433,458,393,206,259,264,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,2141,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3341,3319,3176,2636,3255,3257,2099,3247,2126,3241,1977,2080,2836,3196,2282,3213,2919,3383,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2431,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,5125,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,5180,2094,1823,4591,1846,2655,2653,1990,2648,3415,3419,3417,4174,4278,5179,2001,3832,3391,4326,3379,2308,2310,2314,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2671,3339,2427,2758,3806,3195,2410,2461,2041,2683,2685,2699,1967,1970,1996,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472,1093,1293,1608,8,181,173,157,147,133,127,119,830,1587,1205,1739,1341,1342,1389,1344,1277,836,1212,1210,1366,1362,1128,1327,719,700,1442,1322,967,1402,970,930,1599,969,1355,1268,1682,1577,1188,1766,708,917,1576,911,713,1571,204,1129,679,1511,1176,1057,968,1138,1706,1353,1343,1683,1679,1651,1574,1566,979,1335,712])).
% 55.21/55.76 cnf(5305,plain,
% 55.21/55.76 (P9(f77(x53051,a69),x53052,x53052)),
% 55.21/55.76 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,596,579,526,562,561,564,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,530,5208,481,4985,4987,535,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,5149,5154,5176,5288,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,5239,5279,449,4541,4867,4930,4933,5146,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,324,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,5139,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,5143,5231,601,479,4443,4997,5056,440,480,5171,498,464,5046,5160,465,4851,466,5236,467,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,450,395,373,374,544,394,213,234,248,252,290,385,418,454,496,441,494,602,4480,4485,433,458,393,206,259,264,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,2141,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3341,3319,3176,2636,3255,3257,2099,3247,2126,3241,1977,2080,2836,3196,2282,3213,2919,3383,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2431,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,5125,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,1899,2406,4257,4923,4964,2408,4109,4524,2091,5180,2094,1823,4591,1846,2655,2653,1990,2648,3415,3419,3417,4174,4278,5179,2001,3832,3391,4326,3379,2308,2310,2314,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2671,3339,2427,2758,3806,3195,2410,2461,2041,2683,2685,2699,1967,1970,1996,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472,1093,1293,1608,8,181,173,157,147,133,127,119,830,1587,1205,1739,1341,1342,1389,1344,1277,836,1212,1210,1366,1362,1128,1327,719,700,1442,1322,967,1402,970,930,1599,969,1355,1268,1682,1577,1188,1766,708,917,1576,911,713,1571,204,1129,679,1511,1176,1057,968,1138,1706,1353,1343,1683,1679,1651,1574,1566,979,1335,712,1801])).
% 55.21/55.76 cnf(5307,plain,
% 55.21/55.76 (~P10(a69,f54(x53071,f47(x53071,x53071,x53072,a69)),f12(a69,f9(a69,f54(x53071,f47(x53071,x53071,x53072,a69)),f54(x53071,f47(x53071,x53071,x53072,a69))),f54(x53071,f47(x53071,x53071,x53072,a69))))),
% 55.21/55.76 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,596,579,526,562,561,564,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,530,5208,481,4985,4987,535,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,5149,5154,5176,5288,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,5239,5279,449,4541,4867,4930,4933,5146,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,324,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,5139,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,5143,5231,601,479,4443,4997,5056,440,480,5171,498,464,5046,5160,465,4851,466,5236,467,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,450,395,373,374,544,394,213,234,248,252,290,385,418,454,496,441,494,602,4480,4485,433,458,393,206,259,264,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,2141,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3341,3319,3176,2636,3255,3257,2099,3247,2126,3241,1977,2080,2836,3196,2282,3213,2919,3383,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2431,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,5125,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,4554,1899,2406,4257,4923,4964,2408,4109,4524,2091,5180,2094,1823,4591,1846,2655,2653,1990,2648,3415,3419,3417,4174,4278,5179,2001,3832,3391,4326,3379,2308,2310,2314,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2671,3339,2427,2758,3806,3195,2410,2461,2041,2683,2685,2699,1967,1970,1996,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472,1093,1293,1608,8,181,173,157,147,133,127,119,830,1587,1205,1739,1341,1342,1389,1344,1277,836,1212,1210,1366,1362,1128,1327,719,700,1442,1322,967,1402,970,930,1599,969,1355,1268,1682,1577,1188,1766,708,917,1576,911,713,1571,204,1129,679,1511,1176,1057,968,1138,1706,1353,1343,1683,1679,1651,1574,1566,979,1335,712,1801,1541])).
% 55.21/55.76 cnf(5311,plain,
% 55.21/55.76 (~P10(a1,f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74),f3(a1))),
% 55.21/55.76 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,596,579,526,562,561,564,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,530,5208,481,4985,4987,535,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,5149,5154,5176,5288,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,5239,5279,449,4541,4867,4930,4933,5146,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,324,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,5139,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,5143,5231,601,479,4443,4997,5056,440,480,5171,498,464,5046,5160,465,4851,466,5236,467,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,450,395,373,374,544,394,213,234,248,252,290,385,418,454,496,441,494,602,4480,4485,433,458,393,206,259,264,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,2141,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3341,3319,3176,2636,3255,3257,2099,3247,2126,3241,1977,2080,2836,3196,2282,3213,2919,3383,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2431,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,5125,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,4554,1899,2406,4257,4923,4964,2408,4109,4524,2091,5180,2094,1823,4591,1846,2655,2653,1990,2648,3415,3419,3417,4174,4278,5179,2001,3832,3391,4326,3379,2308,2310,2314,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2671,3339,2427,2758,3806,3195,2410,2461,2041,2683,2685,2699,1967,1970,1996,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472,1093,1293,1608,8,181,173,157,147,133,127,119,830,1587,1205,1739,1341,1342,1389,1344,1277,836,1212,1210,1366,1362,1128,1327,719,700,1442,1322,967,1402,970,930,1599,969,1355,1268,1682,1577,1188,1766,708,917,1576,911,713,1571,204,1129,679,1511,1176,1057,968,1138,1706,1353,1343,1683,1679,1651,1574,1566,979,1335,712,1801,1541,1146])).
% 55.21/55.76 cnf(5313,plain,
% 55.21/55.76 (~P9(a70,f54(f54(f11(a70),f4(a70)),f3(a70)),f54(f54(f11(a70),f4(a70)),f10(a70,f4(a70))))),
% 55.21/55.76 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,596,579,526,562,561,564,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,530,5208,481,4985,4987,535,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,5149,5154,5176,5288,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,5239,5279,449,4541,4867,4930,4933,5146,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,324,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,5139,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,5143,5231,601,479,4443,4997,5056,440,480,5171,498,464,5046,5160,465,4851,466,5236,467,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,450,395,373,374,544,394,213,234,248,252,290,385,418,454,496,441,494,602,4480,4485,433,458,393,206,259,264,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,2141,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,3599,2143,3341,3319,3176,2636,3255,3257,2099,3247,2126,3241,1977,2080,2836,3196,2282,3213,2919,3383,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2431,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,5125,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,4554,1899,2406,4257,4923,4964,2408,4109,4524,2091,5180,2094,1823,4591,1846,2655,2653,1990,2648,3415,3419,3417,4174,4278,5179,2001,3832,3391,4326,3379,2308,2310,2314,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2671,3339,2427,2758,3806,3195,2410,2461,2041,2683,2685,2699,1967,1970,1996,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472,1093,1293,1608,8,181,173,157,147,133,127,119,830,1587,1205,1739,1341,1342,1389,1344,1277,836,1212,1210,1366,1362,1128,1327,719,700,1442,1322,967,1402,970,930,1599,969,1355,1268,1682,1577,1188,1766,708,917,1576,911,713,1571,204,1129,679,1511,1176,1057,968,1138,1706,1353,1343,1683,1679,1651,1574,1566,979,1335,712,1801,1541,1146,1686])).
% 55.21/55.76 cnf(5321,plain,
% 55.21/55.76 (P12(a1,f9(f72(a1),f12(f72(a1),f54(f54(f11(f72(a1)),f12(f72(a1),f23(a1,x53211,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x53212,f12(a1,f3(f72(a1)),f4(a1))))),f12(f72(a1),f23(a1,x53211,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x53212,f12(a1,f3(f72(a1)),f4(a1))))),f54(f54(f11(f72(a1)),f12(f72(a1),f23(a1,x53211,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x53212,f12(a1,f3(f72(a1)),f4(a1))))),f12(f72(a1),f23(a1,x53211,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x53212,f12(a1,f3(f72(a1)),f4(a1)))))),f3(f72(a1))))),
% 55.21/55.76 inference(scs_inference,[],[607,1809,1808,211,216,223,226,232,239,244,254,266,271,274,277,279,282,285,289,293,294,297,300,301,305,309,311,312,317,325,328,333,336,337,339,342,346,352,355,359,362,367,380,389,391,397,402,406,409,414,420,424,596,579,526,562,561,564,576,442,4297,4308,490,478,517,5018,444,445,4652,4654,4657,4659,4661,4663,519,4347,451,452,4795,553,530,5208,481,4985,4987,535,568,375,405,563,510,459,447,4084,4195,4942,4945,5049,5149,5154,5176,5288,448,4121,4125,4270,4275,4363,4594,4814,4899,4903,4951,5059,5239,5279,449,4541,4867,4930,4933,5146,590,219,221,227,230,231,235,238,262,265,296,303,316,319,321,322,324,386,387,417,419,463,4120,4124,4184,4362,4557,5036,593,5139,583,588,495,4128,4131,4208,4323,4902,4950,497,600,4518,4846,5104,5143,5231,601,479,4443,4997,5056,440,480,5171,498,464,5046,5160,465,4851,466,5236,467,603,4093,4102,471,515,4252,4400,4407,4415,4423,4440,4521,450,395,373,374,544,394,213,234,248,252,290,385,418,454,496,441,494,602,4480,4485,433,458,393,206,259,264,378,516,407,313,396,400,401,209,218,253,383,384,404,392,291,292,306,307,345,382,403,372,250,258,320,251,370,341,207,338,208,371,314,599,4374,4411,4872,381,286,504,257,287,344,472,455,331,585,249,1920,1945,3321,3756,1973,3243,2141,1918,2799,2022,1912,3549,3694,3305,3768,3758,3529,2691,2573,2029,2266,2838,4625,3879,3924,3927,3209,2661,1916,1981,3207,3788,3686,2089,4632,4752,2741,3885,3922,3939,3941,3943,3945,3947,3949,3951,3953,3955,3957,3959,3961,3963,3965,3967,3969,3971,3973,3975,3977,3979,3981,3983,3985,3987,3989,3991,3993,3995,3997,3999,4001,4003,4005,4007,4009,4011,4013,4015,4017,4019,4021,4023,4025,4027,4029,4031,4033,4035,4037,4039,4041,4043,4045,4047,4049,4051,4053,4055,4057,4059,4061,4063,4065,4067,4069,4071,4073,4075,4077,2242,3778,2200,3303,2244,2250,3599,2143,3341,3319,3176,2636,3255,3257,2099,3247,2126,3241,1977,2080,2836,3196,2282,3213,2919,3383,3231,2138,2665,4332,4823,4826,3851,2451,3229,1813,3930,4096,4099,4117,2232,2431,2429,3666,3654,3333,3253,2599,3201,3794,3873,3411,1861,5099,3702,1837,2174,4132,4209,4469,4573,4584,4745,5125,2177,3335,2105,4546,2108,4477,5105,3849,1959,1896,4554,1899,2406,4257,4923,4964,2408,4109,4524,2091,5180,2094,1823,4591,1846,2655,2653,1990,2648,3415,3419,3417,4174,4278,5179,2001,3832,3391,4326,3379,2308,2310,2314,2316,2330,2332,2338,2360,2380,2386,2398,3742,2473,3525,3762,3259,2642,4538,4560,2657,4114,3638,2818,3808,3409,3804,3575,3752,2425,2671,3339,2427,2758,3806,3195,2410,2461,2041,2420,2485,2683,2685,2699,1967,1970,1996,3190,828,827,1806,1391,1119,1393,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,178,176,175,174,172,171,170,169,168,167,166,165,164,163,162,161,160,159,158,155,154,153,150,149,148,146,145,144,143,142,141,139,138,137,136,135,131,130,129,128,126,125,124,123,122,121,117,113,1183,1178,1625,882,1517,1241,1238,1237,1235,1234,960,1556,1568,1483,1302,1666,1590,1240,1707,1578,1330,853,814,793,681,1653,805,783,779,1654,864,1348,1078,1004,1110,1061,1519,1390,1325,1499,1498,959,1211,1099,1075,900,818,1536,1381,1133,1083,1081,1080,1543,1262,1108,915,789,733,1509,1503,1780,1540,958,903,1735,1545,1021,856,1604,1445,1443,1413,1295,1200,1197,1195,1165,1163,921,876,724,1613,1316,1215,1184,1180,1154,944,943,865,824,745,739,691,988,987,1000,947,863,971,888,872,1378,1229,881,1794,1784,1782,1756,1798,1796,1789,1788,1787,1762,1753,1239,1727,1414,1208,1126,839,1408,1430,1429,1318,1310,1645,1377,1736,1734,1684,1677,1648,1581,1570,1528,1484,1454,1451,1450,1447,980,1662,1699,1714,1744,1718,1299,1768,1750,1777,1665,977,976,1700,1320,997,925,852,851,744,1023,1352,1351,1254,1520,1187,1088,1014,1095,1074,1013,956,933,1132,1630,1047,1123,1121,800,678,1606,1140,697,696,694,1312,948,1601,1036,1434,1555,1681,1579,1575,1473,1466,1456,1767,880,750,1418,1117,1270,1012,1009,769,1379,1225,695,692,1783,1559,1678,1470,998,1258,1186,1199,1676,1427,926,1029,1027,932,767,1440,1438,1610,2,992,1259,1065,984,874,873,857,40,28,7,1431,906,1246,913,819,1392,1500,1497,156,152,151,134,118,115,114,3,1098,801,1069,1465,1409,1294,1134,1082,1056,790,1542,1496,1107,1106,1105,916,788,731,729,1626,1510,1050,1669,1159,1015,957,912,689,1444,1433,1412,1411,1385,1296,1224,1204,1202,883,722,1612,1306,1305,1216,1185,1174,1172,1153,1150,823,803,802,738,728,717,1602,1401,1086,804,974,946,934,862,1647,901,1688,989,1742,1741,1538,1537,1792,1791,1785,1765,1764,1755,1797,1795,1786,1763,1754,1233,966,1728,1033,1593,1415,1125,755,1582,1674,1557,1428,1644,1561,1680,1650,1649,1580,1569,1567,1527,1487,1482,1481,1480,1464,1462,1460,1459,1453,1452,1449,1446,1712,1732,1694,1553,1552,1551,1550,1749,1634,1584,1583,1758,1704,902,927,846,741,1365,1364,1252,983,889,1597,1421,1360,1067,978,120,116,1094,1073,899,1308,730,1629,1122,1120,887,1384,1304,914,866,787,693,1315,919,811,1708,1693,1692,1171,1560,1375,1457,908,1664,1346,1345,1701,1022,1273,1066,1598,1417,1161,1326,1323,817,1103,1102,707,1441,1148,1143,1139,690,1311,1793,1236,1044,1558,1663,954,1130,1151,1313,1426,1687,1256,1292,1539,1439,1363,1358,1709,1038,1471,1472,1093,1293,1608,8,181,173,157,147,133,127,119,830,1587,1205,1739,1341,1342,1389,1344,1277,836,1212,1210,1366,1362,1128,1327,719,700,1442,1322,967,1402,970,930,1599,969,1355,1268,1682,1577,1188,1766,708,917,1576,911,713,1571,204,1129,679,1511,1176,1057,968,1138,1706,1353,1343,1683,1679,1651,1574,1566,979,1335,712,1801,1541,1146,1686,1573,1329,1685,1247])).
% 55.21/55.76 cnf(5341,plain,
% 55.21/55.76 (P9(a1,x53411,x53411)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(5344,plain,
% 55.21/55.76 (~P10(a1,x53441,f12(a1,f54(f54(f11(a1),f9(a1,f9(a1,x53442,x53443),f9(a1,x53442,x53443))),x53444),x53441))),
% 55.21/55.76 inference(rename_variables,[],[4833])).
% 55.21/55.76 cnf(5352,plain,
% 55.21/55.76 (~P9(a1,f27(a69,f12(a69,f5(a2,a73),f25(x53521))),x53521)),
% 55.21/55.76 inference(rename_variables,[],[4468])).
% 55.21/55.76 cnf(5354,plain,
% 55.21/55.76 (P13(a1,f12(a1,x53541,f10(a1,f9(a1,x53542,f54(f54(f11(a1),x53543),f3(a1))))),f12(a1,x53542,f10(a1,x53541)))),
% 55.21/55.76 inference(scs_inference,[],[447,419,306,338,320,314,585,249,4018,2214,5026,1906,5221,4833,4468,2006,5007,4638,2264,1476,1386,1079,765,1175,1773])).
% 55.21/55.76 cnf(5363,plain,
% 55.21/55.76 (P9(a69,x53631,x53631)),
% 55.21/55.76 inference(rename_variables,[],[448])).
% 55.21/55.76 cnf(5364,plain,
% 55.21/55.76 (P9(a69,f3(a69),x53641)),
% 55.21/55.76 inference(rename_variables,[],[463])).
% 55.21/55.76 cnf(5371,plain,
% 55.21/55.76 (P9(a70,x53711,x53711)),
% 55.21/55.76 inference(rename_variables,[],[449])).
% 55.21/55.76 cnf(5374,plain,
% 55.21/55.76 (~P9(a1,f27(a69,f12(a69,f5(a2,a73),f25(x53741))),x53741)),
% 55.21/55.76 inference(rename_variables,[],[4468])).
% 55.21/55.76 cnf(5380,plain,
% 55.21/55.76 (~P9(a69,f9(a69,f5(a2,a73),f4(a69)),f9(a69,f4(a69),f4(a69)))),
% 55.21/55.76 inference(scs_inference,[],[1811,529,459,447,448,5363,449,397,419,463,580,407,253,306,338,345,208,320,314,286,585,472,249,4018,2214,2156,5305,3863,5026,5112,4562,1906,5221,4556,4833,4468,5352,2006,2228,5007,5217,4638,2264,3243,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707])).
% 55.21/55.76 cnf(5381,plain,
% 55.21/55.76 (P9(a69,x53811,x53811)),
% 55.21/55.76 inference(rename_variables,[],[448])).
% 55.21/55.76 cnf(5384,plain,
% 55.21/55.76 (P9(a69,x53841,x53841)),
% 55.21/55.76 inference(rename_variables,[],[448])).
% 55.21/55.76 cnf(5385,plain,
% 55.21/55.76 (P9(a69,f3(a69),x53851)),
% 55.21/55.76 inference(rename_variables,[],[463])).
% 55.21/55.76 cnf(5387,plain,
% 55.21/55.76 (~P10(f72(a1),f54(f54(f11(f72(a1)),f12(f72(a1),f23(a1,x53871,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x53872,f12(a1,f3(f72(a1)),f4(a1))))),f12(f72(a1),f23(a1,x53871,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x53872,f12(a1,f3(f72(a1)),f4(a1))))),f3(f72(a1)))),
% 55.21/55.76 inference(scs_inference,[],[1811,529,459,447,448,5363,5381,449,397,419,495,463,5364,580,407,253,306,338,345,208,320,314,286,585,472,249,4018,2214,2156,5305,3863,5026,5112,4562,1906,5221,4556,4833,4468,5352,2006,2228,5007,5217,4638,2264,3243,2316,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314])).
% 55.21/55.76 cnf(5391,plain,
% 55.21/55.76 (~P9(f72(a1),f54(f54(f11(f72(a1)),f12(f72(a1),f23(a1,x53911,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x53912,f12(a1,f3(f72(a1)),f4(a1))))),f12(f72(a1),f23(a1,x53911,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x53912,f12(a1,f3(f72(a1)),f4(a1))))),f10(f72(a1),f8(f72(a1),f3(f72(a1)))))),
% 55.21/55.76 inference(scs_inference,[],[1811,529,459,447,448,5363,5381,449,397,419,495,463,5364,580,407,253,306,338,345,208,320,314,286,585,472,249,4018,2214,2156,5305,3863,5026,5112,4562,1906,5022,5221,4556,4761,4526,4833,4468,5352,2006,2300,2228,4280,5007,5217,4638,2264,3243,2316,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240])).
% 55.21/55.76 cnf(5394,plain,
% 55.21/55.76 (P9(a1,f10(a1,f54(f54(f11(a1),x53941),x53941)),f54(f54(f11(a1),x53942),x53942))),
% 55.21/55.76 inference(rename_variables,[],[529])).
% 55.21/55.76 cnf(5403,plain,
% 55.21/55.76 (~P9(a1,f27(a69,f12(a69,f5(a2,a73),f25(x54031))),x54031)),
% 55.21/55.76 inference(rename_variables,[],[4468])).
% 55.21/55.76 cnf(5409,plain,
% 55.21/55.76 (~P10(a69,x54091,f9(a69,x54092,x54092))),
% 55.21/55.76 inference(scs_inference,[],[1811,446,529,557,560,459,447,448,5363,5381,449,397,419,495,600,293,463,5364,580,407,253,306,338,345,208,320,314,286,585,472,249,4018,2214,2156,5305,3863,5026,5112,4562,5092,1906,5022,5221,4556,4761,4526,4833,4468,5352,5374,2006,2300,2228,4280,5007,4503,4394,5217,4638,2264,3243,2316,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499])).
% 55.21/55.76 cnf(5415,plain,
% 55.21/55.76 (P80(f10(a2,f54(f54(f11(a70),f4(a70)),f10(a2,a1))))),
% 55.21/55.76 inference(scs_inference,[],[1811,348,353,446,529,557,279,281,391,560,459,447,448,5363,5381,449,397,419,495,600,293,463,5364,580,407,253,306,338,345,208,320,314,286,585,472,249,4018,2214,2156,5305,4979,4845,3863,4742,5026,5112,4562,5092,1906,5022,5221,4556,4761,4526,4833,4468,5352,5374,2006,2300,2228,4280,5007,4503,4394,5217,4638,2264,3243,2316,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195])).
% 55.21/55.76 cnf(5429,plain,
% 55.21/55.76 (P8(f10(a2,f54(f54(f11(a70),f4(a70)),f10(a2,a1))))),
% 55.21/55.76 inference(scs_inference,[],[1811,267,278,298,329,348,353,356,363,410,421,446,529,557,279,281,285,310,391,560,459,447,448,5363,5381,449,321,386,397,419,495,600,293,418,463,5364,580,407,253,306,338,345,208,320,314,286,585,472,249,4018,2214,4004,2156,5305,4979,4845,3863,4742,5026,5112,4562,5092,1906,5022,5221,4556,4761,4526,4833,4468,5352,5374,2006,2300,2228,4280,5007,4503,4394,5217,4638,5223,2264,3885,3243,2316,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162])).
% 55.21/55.76 cnf(5436,plain,
% 55.21/55.76 (P69(f12(a69,a69,f54(f54(f11(a69),f9(a69,f12(a69,a78,f4(a69)),f12(a69,a78,f4(a69)))),x54361)))),
% 55.21/55.76 inference(scs_inference,[],[1811,245,267,278,298,329,348,353,356,363,410,421,446,529,557,233,279,281,285,310,391,560,459,447,448,5363,5381,449,321,379,386,397,419,495,600,394,293,418,463,5364,580,407,302,253,306,338,345,208,370,320,314,286,585,472,249,4018,2214,4004,2156,5305,4979,4845,3863,4742,5026,5112,4562,5092,1906,5022,5221,4556,4761,4526,4833,4468,5352,5374,2006,2300,2228,4280,5007,4503,4394,5217,4638,5223,2264,3885,3243,2316,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145])).
% 55.21/55.76 cnf(5441,plain,
% 55.21/55.76 (E(x54411,f12(a69,f54(f54(f11(a69),f9(a69,x54412,x54412)),x54413),x54411))),
% 55.21/55.76 inference(rename_variables,[],[4845])).
% 55.21/55.76 cnf(5445,plain,
% 55.21/55.76 (E(x54451,f12(a69,f54(f54(f11(a69),f9(a69,x54452,x54452)),x54453),x54451))),
% 55.21/55.76 inference(rename_variables,[],[4845])).
% 55.21/55.76 cnf(5460,plain,
% 55.21/55.76 (P10(a1,f10(a1,f27(a69,f25(x54601))),f10(a1,f9(a1,x54601,f4(a1))))),
% 55.21/55.76 inference(scs_inference,[],[1811,245,267,278,298,326,329,334,340,348,353,356,363,410,421,446,529,557,509,225,233,279,281,285,310,391,552,560,376,405,459,447,448,5363,5381,449,321,379,386,397,402,419,495,600,373,394,293,418,463,5364,580,210,407,302,253,306,338,345,208,370,382,320,314,381,286,585,472,249,4018,2214,4004,2156,5305,4979,4845,5441,5445,3863,4742,5026,5112,4581,4562,5092,1906,5022,5221,4556,4761,4526,3393,4861,4966,4833,4583,4468,5352,5374,2006,2300,2228,4280,5007,4503,4394,5217,4638,5223,2264,3885,3243,2316,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163])).
% 55.21/55.76 cnf(5462,plain,
% 55.21/55.76 (~P9(a69,f14(f12(a1,f27(a69,f3(a69)),f4(a1))),f9(a69,x54621,x54621))),
% 55.21/55.76 inference(scs_inference,[],[1811,245,267,278,298,326,329,334,340,348,353,356,363,410,421,446,529,557,509,225,233,279,281,285,310,391,552,560,376,405,459,447,448,5363,5381,5384,449,321,379,386,397,402,419,495,600,373,394,293,418,463,5364,580,210,407,302,253,306,338,345,208,370,382,320,314,381,286,585,472,249,4018,2214,4004,2156,5305,4979,4845,5441,5445,3863,4742,5026,5112,4581,4562,5092,1906,5022,5221,4556,4761,4526,3393,4861,4966,4833,2162,4583,4468,5352,5374,2006,2300,2228,4280,5007,4503,4394,5217,4638,5223,2264,3885,3243,2316,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613])).
% 55.21/55.76 cnf(5463,plain,
% 55.21/55.76 (~P9(a69,f12(a69,f14(f12(a1,f27(a69,f3(a69)),f4(a1))),x54631),x54631)),
% 55.21/55.76 inference(rename_variables,[],[2162])).
% 55.21/55.76 cnf(5470,plain,
% 55.21/55.76 (~E(f12(a69,f5(a2,a73),x54701),x54701)),
% 55.21/55.76 inference(rename_variables,[],[5230])).
% 55.21/55.76 cnf(5472,plain,
% 55.21/55.76 (~P9(a69,f12(a69,f54(f54(f11(a69),f9(a69,x54721,x54721)),x54722),f12(a69,f5(a2,a73),f12(a69,f54(f54(f11(a69),f9(a69,x54721,x54721)),x54722),x54723))),x54723)),
% 55.21/55.76 inference(scs_inference,[],[1811,245,267,278,298,326,329,334,340,348,353,356,363,410,421,446,529,557,509,225,233,279,281,285,310,391,552,560,376,405,459,447,448,5363,5381,5384,449,321,379,386,397,402,419,495,600,373,394,293,418,463,5364,580,210,407,302,253,259,306,338,345,208,370,382,320,314,381,286,585,472,249,4018,2214,4004,4221,2156,5305,4979,5230,4845,5441,5445,3863,4742,5026,5112,4581,4562,5092,1906,5022,5221,4556,4761,4526,3393,4861,4966,4833,5344,2162,4583,4468,5352,5374,4572,2006,2300,2228,4280,5007,4503,4394,5217,4638,5223,2264,3885,3243,2316,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794])).
% 55.21/55.76 cnf(5479,plain,
% 55.21/55.76 (E(f12(a69,x54791,f12(a69,x54792,x54793)),f12(a69,x54792,f12(a69,x54791,x54793)))),
% 55.21/55.76 inference(rename_variables,[],[518])).
% 55.21/55.76 cnf(5486,plain,
% 55.21/55.76 (~P10(a70,x54861,f12(a70,x54861,f3(a70)))),
% 55.21/55.76 inference(rename_variables,[],[5191])).
% 55.21/55.76 cnf(5490,plain,
% 55.21/55.76 (~P9(a1,f12(a1,f27(a69,f25(f12(a1,f8(a1,x54901),f4(a1)))),f4(a1)),x54901)),
% 55.21/55.76 inference(scs_inference,[],[1811,245,267,278,298,326,329,334,340,348,353,356,363,410,421,518,446,529,557,509,225,233,279,281,285,310,391,552,560,376,405,459,447,448,5363,5381,5384,449,321,379,386,397,402,419,495,600,603,515,373,394,293,418,463,5364,580,210,407,260,302,253,259,292,306,338,392,345,208,370,382,320,291,314,381,286,585,472,249,4018,2214,4004,4221,2156,5305,4979,5230,4845,5441,5445,3863,4742,5026,5112,4581,4562,5092,1906,2128,5022,5221,4556,4761,4526,3393,4861,4966,4833,5344,2162,4583,5191,4468,5352,5374,4816,4572,4338,2006,4342,2300,2228,4280,5007,4503,4394,5217,4638,5223,2264,3885,3243,2316,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238])).
% 55.21/55.76 cnf(5491,plain,
% 55.21/55.76 (P10(a1,x54911,f12(a1,f27(a69,f25(x54911)),f4(a1)))),
% 55.21/55.76 inference(rename_variables,[],[515])).
% 55.21/55.76 cnf(5494,plain,
% 55.21/55.76 (~P10(a1,f12(a1,f8(a1,x54941),f4(a1)),x54941)),
% 55.21/55.76 inference(rename_variables,[],[603])).
% 55.21/55.76 cnf(5497,plain,
% 55.21/55.76 (P9(a1,f10(a1,f54(f54(f11(a1),x54971),x54971)),f54(f54(f11(a1),x54972),x54972))),
% 55.21/55.76 inference(rename_variables,[],[529])).
% 55.21/55.76 cnf(5505,plain,
% 55.21/55.76 (~P9(a1,f12(a1,f9(a1,f54(f54(f11(a1),f26(a1,f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74))),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))),f54(f54(f11(a1),f26(a1,f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74))),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74))),x55051),x55051)),
% 55.21/55.76 inference(scs_inference,[],[1811,245,267,278,298,326,329,334,340,348,353,356,363,410,421,518,446,529,5394,557,509,220,225,233,279,281,285,310,391,552,560,376,405,459,447,448,5363,5381,5384,449,321,379,386,397,402,419,495,600,603,515,373,394,293,418,463,5364,580,210,407,260,302,253,259,292,306,338,392,345,403,208,370,382,320,291,314,381,286,585,472,249,1983,4018,2214,4004,5001,4221,2156,5305,4979,5230,4845,5441,5445,2659,3863,4742,5026,5112,4581,4562,5092,1906,2128,5022,5221,4556,4761,4526,3393,4861,4495,4966,4833,5344,2162,4583,5191,4468,5352,5374,4816,4572,4338,2006,4342,2300,2228,4280,5007,4503,4394,3640,5217,4638,5223,2264,3885,3243,2316,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377])).
% 55.21/55.76 cnf(5506,plain,
% 55.21/55.76 (E(f9(a1,f12(a1,x55061,x55062),x55062),x55061)),
% 55.21/55.76 inference(rename_variables,[],[2659])).
% 55.21/55.76 cnf(5509,plain,
% 55.21/55.76 (P9(a1,f10(a1,f54(f54(f11(a1),x55091),x55091)),f54(f54(f11(a1),x55092),x55092))),
% 55.21/55.76 inference(rename_variables,[],[529])).
% 55.21/55.76 cnf(5518,plain,
% 55.21/55.76 (~P10(a1,f12(a1,f8(a1,x55181),f4(a1)),x55181)),
% 55.21/55.76 inference(rename_variables,[],[603])).
% 55.21/55.76 cnf(5521,plain,
% 55.21/55.76 (P9(a1,x55211,x55211)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(5523,plain,
% 55.21/55.76 (~P9(a1,f26(a1,f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74)),f3(a1))),
% 55.21/55.76 inference(scs_inference,[],[1811,245,267,278,298,326,329,334,340,348,353,356,363,410,421,581,518,446,529,5394,5497,557,509,220,225,233,279,281,285,310,391,552,560,376,405,459,447,5341,448,5363,5381,5384,449,321,379,386,397,402,419,495,600,603,5494,515,373,394,293,418,463,5364,580,210,407,260,302,253,259,292,306,338,392,345,403,208,370,382,320,291,314,344,381,286,585,472,249,1983,4018,2214,4004,5001,4221,2156,5305,4979,5230,4845,5441,5445,2659,3863,4489,4742,5026,5112,4581,4562,5092,1906,2128,5022,5221,4556,4761,4526,3393,4861,4495,4966,4833,5344,2162,4583,5191,4468,5352,5374,4816,4572,4338,2006,4342,2300,2228,4280,5007,4503,4394,3640,5217,4638,5223,2264,3885,3415,3243,2316,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570])).
% 55.21/55.76 cnf(5529,plain,
% 55.21/55.76 (~P10(a70,f3(a70),f10(a70,f3(a70)))),
% 55.21/55.76 inference(scs_inference,[],[1811,245,267,278,298,326,329,334,340,348,353,356,363,410,421,581,518,446,529,5394,5497,557,509,220,225,233,279,281,285,310,391,552,560,376,405,459,447,5341,448,5363,5381,5384,449,321,379,386,397,402,419,495,600,603,5494,515,373,394,293,418,463,5364,580,210,407,260,302,253,259,292,306,338,392,345,403,208,370,382,209,320,291,314,344,381,286,585,472,249,1983,4018,2214,4004,5001,4221,2156,5305,4979,5230,4845,5441,5445,2659,3863,4489,4742,5026,5112,4581,4562,5092,1906,2128,5022,5221,4556,4761,4526,3393,4861,4495,4966,4833,5344,4976,2162,4583,5191,4468,5352,5374,4256,4816,4572,4338,2006,4342,2300,5096,2228,4280,5007,4503,4394,3640,5217,4638,5223,2264,3885,3415,3243,2316,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450])).
% 55.21/55.76 cnf(5541,plain,
% 55.21/55.76 (~P10(a1,f3(a1),f27(a69,f12(a69,f3(a69),f3(a69))))),
% 55.21/55.76 inference(scs_inference,[],[1811,245,267,278,298,326,329,334,340,348,353,356,363,410,421,581,518,446,529,5394,5497,557,509,220,225,233,279,281,285,310,391,552,560,376,405,459,447,5341,448,5363,5381,5384,449,321,379,386,397,402,419,495,600,440,603,5494,515,5491,373,394,293,418,463,5364,580,210,407,260,302,253,259,292,306,338,392,587,345,212,403,208,370,307,382,209,320,291,250,314,344,381,287,286,585,472,249,1983,4018,2214,4004,5001,4221,2156,5305,4979,5230,4845,5441,5445,2659,3863,4489,4742,5026,5112,4581,4562,5092,1906,2128,5022,5221,4556,4761,4526,3393,4861,4495,4966,4833,5344,4976,2162,4583,4553,5191,4468,5352,5374,4256,4816,4572,4338,2006,4342,4921,2300,2392,2394,2396,2400,5096,2228,4280,5007,4503,4394,3640,5217,4638,5223,2264,3885,3415,3243,2316,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110])).
% 55.21/55.76 cnf(5542,plain,
% 55.21/55.76 (~P10(a69,x55421,f12(a69,f3(a69),x55421))),
% 55.21/55.76 inference(rename_variables,[],[4553])).
% 55.21/55.76 cnf(5550,plain,
% 55.21/55.76 (~P9(a1,f27(a69,f12(a69,f5(a2,a73),f25(f4(a1)))),f27(a69,f4(a69)))),
% 55.21/55.76 inference(scs_inference,[],[1811,245,267,278,298,326,329,334,340,348,353,356,363,410,421,581,518,446,529,5394,5497,557,509,220,225,233,279,281,285,310,391,552,560,376,405,459,447,5341,448,5363,5381,5384,449,321,379,386,397,402,419,495,600,440,603,5494,515,5491,373,394,293,418,463,5364,580,210,407,260,302,253,259,292,306,338,392,587,345,212,403,208,370,307,382,209,320,291,250,314,344,381,287,286,585,472,249,1983,4018,2214,4004,5001,4221,2156,5305,4979,5230,4162,4845,5441,5445,2659,3863,4489,4742,5026,5112,4581,4562,5092,1906,2128,5022,5221,4556,4761,4526,3393,4861,4495,4966,4833,5344,4976,2162,4583,4553,5191,4468,5352,5374,4256,4816,4572,4338,2413,2006,4342,4921,2300,2392,2394,2396,2400,5096,2228,4280,5007,4503,4394,3640,5217,4638,5223,2264,3885,3415,3243,2316,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089])).
% 55.21/55.76 cnf(5565,plain,
% 55.21/55.76 (~P9(a1,f27(a69,f12(a69,f5(a2,a73),f25(x55651))),x55651)),
% 55.21/55.76 inference(rename_variables,[],[4468])).
% 55.21/55.76 cnf(5570,plain,
% 55.21/55.76 (P10(a1,x55701,f12(a1,f54(f54(f11(a1),f9(a1,x55702,x55703)),x55704),f12(a1,f27(a69,f25(f8(a1,f9(a1,f12(a1,f54(f54(f11(a1),x55703),x55704),x55701),f54(f54(f11(a1),x55702),x55704))))),f4(a1))))),
% 55.21/55.76 inference(rename_variables,[],[4835])).
% 55.21/55.76 cnf(5579,plain,
% 55.21/55.76 (~P10(a1,f12(a1,f8(a1,x55791),f4(a1)),x55791)),
% 55.21/55.76 inference(rename_variables,[],[603])).
% 55.21/55.76 cnf(5584,plain,
% 55.21/55.76 (P9(a70,x55841,x55841)),
% 55.21/55.76 inference(rename_variables,[],[449])).
% 55.21/55.76 cnf(5592,plain,
% 55.21/55.76 (P9(a69,f12(a69,x55921,f3(a69)),x55921)),
% 55.21/55.76 inference(scs_inference,[],[205,1811,245,267,278,298,326,329,334,340,348,353,356,363,410,421,581,571,518,446,529,5394,5497,557,509,220,225,233,279,281,285,310,391,552,560,376,405,459,447,5341,448,5363,5381,5384,449,5371,321,379,386,397,402,419,495,600,440,498,499,603,5494,5518,515,5491,373,394,293,418,463,5364,457,580,210,407,260,302,253,259,292,306,338,392,258,587,345,212,403,208,370,307,382,209,320,599,291,250,314,344,381,287,286,585,472,249,1983,4018,2214,4004,5001,4221,2156,4530,4559,5305,4979,5230,4162,4845,5441,5445,2659,3863,4489,3337,4742,5026,5112,4581,4562,5092,1906,2128,3853,5022,5221,4556,4761,4526,3393,4861,4495,4966,4833,5344,4976,2162,4583,4835,4553,5191,4468,5352,5374,5403,4256,4816,4572,2082,4338,2413,2006,4342,4921,2300,2392,2394,2396,2400,5096,3774,2228,4280,4078,5007,3439,4503,4394,3640,5217,4532,4638,5223,3720,2264,3885,3415,3243,2316,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014])).
% 55.21/55.76 cnf(5593,plain,
% 55.21/55.76 (E(f9(a69,f12(a69,x55931,x55932),x55931),x55932)),
% 55.21/55.76 inference(rename_variables,[],[499])).
% 55.21/55.76 cnf(5598,plain,
% 55.21/55.76 (~P10(a70,x55981,f12(a70,x55981,f3(a70)))),
% 55.21/55.76 inference(rename_variables,[],[5191])).
% 55.21/55.76 cnf(5611,plain,
% 55.21/55.76 (P10(a69,f3(a69),f12(a69,f5(a2,a73),f3(a69)))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,245,267,278,298,326,329,334,340,348,353,356,363,410,421,581,571,518,446,529,5394,5497,557,509,220,225,233,279,281,285,310,391,552,560,376,405,459,447,5341,448,5363,5381,5384,449,5371,321,379,386,397,402,419,495,600,440,498,499,603,5494,5518,515,5491,373,394,293,418,463,5364,457,580,210,407,260,302,253,259,292,306,400,338,392,258,587,345,212,403,208,370,307,382,209,320,599,291,250,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5001,4221,4722,2156,4530,4008,4559,5305,4979,5230,5470,4162,4845,5441,5445,2659,3863,4489,3337,4742,5026,5112,4581,4562,5092,1906,2128,3853,5022,5221,4556,4761,4526,3393,4861,4495,4966,4833,5344,4976,2162,5463,3431,4583,4835,4553,5191,5486,4468,5352,5374,5403,4256,4816,4572,2082,4338,2413,2006,4342,4921,2300,2392,2394,2396,2400,5096,3774,2228,4280,4078,5007,3439,4503,4394,3640,5217,4532,4638,5223,3720,2264,3241,3885,3415,3243,2316,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750])).
% 55.21/55.76 cnf(5612,plain,
% 55.21/55.76 (~E(f12(a69,f5(a2,a73),x56121),x56121)),
% 55.21/55.76 inference(rename_variables,[],[5230])).
% 55.21/55.76 cnf(5624,plain,
% 55.21/55.76 (~P10(a1,f10(a1,f10(a1,f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))))),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,245,267,278,298,326,329,334,340,348,353,356,363,410,421,581,571,518,446,529,5394,5497,557,509,220,225,233,279,281,285,310,391,552,560,376,405,459,447,5341,448,5363,5381,5384,449,5371,321,379,386,397,402,419,495,600,440,498,499,603,5494,5518,515,5491,373,394,293,418,463,5364,457,580,210,407,260,302,253,259,292,306,400,338,392,258,587,345,212,403,208,370,307,382,209,320,599,291,250,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5001,4221,4722,2156,4530,4008,4559,3325,5305,4979,5230,5470,4162,4845,5441,5445,2659,3863,4489,3337,4742,5026,5112,4581,4562,5092,1906,2128,3853,5022,5221,4556,4761,4734,4526,3393,4861,4495,4462,4966,4833,5344,4976,2162,5463,3431,4583,4835,4553,5191,5486,4468,5352,5374,5403,4256,4816,4572,2082,4338,2413,2006,4342,4921,2300,2392,2394,2396,2400,5096,3774,2228,4280,4078,5007,3439,4503,4394,3640,5217,4532,4638,5223,3720,2601,2264,3241,3885,2648,3415,3243,2316,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199])).
% 55.21/55.76 cnf(5626,plain,
% 55.21/55.76 (E(f54(f54(f11(f10(a1,f9(a1,f3(a1),a1))),f26(f10(a1,f9(a1,f3(a1),a1)),f26(f10(a1,f9(a1,f3(a1),a1)),f12(a69,f3(f10(a1,f9(a1,f3(a1),a1))),f5(a1,f12(a1,f3(f72(a1)),f4(a1))))))),f26(f10(a1,f9(a1,f3(a1),a1)),f12(a69,f3(f10(a1,f9(a1,f3(a1),a1))),f5(a1,f12(a1,f3(f72(a1)),f4(a1)))))),f4(f10(a1,f9(a1,f3(a1),a1))))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,245,267,278,298,326,329,334,340,348,353,356,363,410,421,581,571,518,446,529,5394,5497,557,509,220,225,233,279,281,285,310,391,552,560,376,405,459,447,5341,448,5363,5381,5384,449,5371,321,379,386,397,402,419,495,600,440,498,499,603,5494,5518,515,5491,373,394,293,418,463,5364,457,580,210,407,260,302,253,259,292,306,400,338,392,258,587,345,212,403,208,370,307,382,209,320,599,291,250,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4221,4722,2156,4530,4008,4559,3325,5305,4979,5230,5470,4162,4845,5441,5445,2659,3863,4489,3337,4742,5026,5112,4581,4562,5092,1906,2128,3853,5022,5221,4556,4761,4734,4526,3393,4861,4495,4462,4966,4833,5344,4976,2162,5463,3431,4583,4835,4553,5191,5486,4468,5352,5374,5403,4256,4816,4572,2082,4338,2413,2006,4342,4921,2300,2392,2394,2396,2400,5096,3774,2228,4280,4078,5007,3439,4503,4394,3640,5217,4532,4638,5223,3720,2601,2264,3241,3885,2648,3415,3243,2316,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970])).
% 55.21/55.76 cnf(5629,plain,
% 55.21/55.76 (~P9(a1,f27(a69,f12(a69,f5(a2,a73),f25(x56291))),x56291)),
% 55.21/55.76 inference(rename_variables,[],[4468])).
% 55.21/55.76 cnf(5637,plain,
% 55.21/55.76 (~P9(a1,f27(a69,f12(a69,f5(a2,a73),f25(f12(a1,f54(f54(f11(a1),f9(a1,x56371,x56371)),x56372),x56373)))),x56373)),
% 55.21/55.76 inference(scs_inference,[],[205,1811,245,267,278,298,326,329,334,340,348,353,356,363,410,421,581,571,518,446,529,5394,5497,557,509,220,225,233,279,281,285,310,391,552,560,376,405,459,447,5341,5521,448,5363,5381,5384,449,5371,321,379,386,397,402,419,495,600,440,498,499,603,5494,5518,515,5491,373,394,293,418,463,5364,457,580,210,407,260,302,253,259,292,306,400,338,392,383,258,587,345,212,403,208,370,307,382,209,320,599,291,250,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4221,4722,2156,4530,4008,4559,3325,5305,4979,5230,5470,4162,4845,5441,5445,2659,3863,4489,3337,4742,5026,5112,4581,4562,5092,1906,2128,3853,5022,5221,4556,4761,4734,4526,3393,4861,4495,4462,4966,4833,5344,4976,2162,5463,3431,4583,4835,4553,5191,5486,4468,5352,5374,5403,5565,4256,4816,4572,2082,4338,2413,2006,4342,4921,2300,2392,2394,2396,2400,5096,3774,2228,4280,4078,5007,3439,4503,4394,3640,5217,4532,4638,5223,3720,2601,2264,3241,3885,2648,3415,3243,2316,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420])).
% 55.21/55.76 cnf(5640,plain,
% 55.21/55.76 (~E(x56401,f12(a69,f10(a70,f12(a70,f4(a70),f9(a69,x56401,x56401))),x56401))),
% 55.21/55.76 inference(rename_variables,[],[4751])).
% 55.21/55.76 cnf(5641,plain,
% 55.21/55.76 (P9(a69,x56411,f12(a69,x56412,x56411))),
% 55.21/55.76 inference(rename_variables,[],[495])).
% 55.21/55.76 cnf(5648,plain,
% 55.21/55.76 (P9(a1,x56481,x56481)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(5652,plain,
% 55.21/55.76 (P10(a69,x56521,f25(f12(a1,f27(a69,x56521),f4(a1))))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,245,267,278,298,326,329,334,340,348,353,356,363,410,421,581,571,518,446,529,5394,5497,557,509,220,225,233,279,281,285,310,391,552,560,376,405,459,447,5341,5521,448,5363,5381,5384,449,5371,321,379,386,397,402,419,495,600,440,498,499,603,5494,5518,515,5491,373,394,293,418,463,5364,457,580,210,407,260,302,253,259,292,306,400,338,392,383,258,587,345,212,403,208,370,307,382,209,320,599,291,250,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4221,4722,2156,4530,4008,4559,3325,5305,4979,5230,5470,4162,4845,5441,5445,2659,4751,3863,4489,3337,4742,5026,5112,4581,4562,5092,1906,2128,3853,5022,5221,4556,4761,5127,4734,4526,3393,4861,4495,4462,4966,4833,5344,4976,2162,5463,3431,4583,4835,4553,5191,5486,4468,5352,5374,5403,5565,4256,4816,4572,2082,4338,2413,2006,4342,4921,2300,2392,2394,2396,2400,5096,3774,2228,4280,4078,5007,3439,4503,4394,3640,5217,4532,4638,5223,3720,2601,2264,3241,3885,1990,2648,3415,3243,2316,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186])).
% 55.21/55.76 cnf(5656,plain,
% 55.21/55.76 (~P10(a1,f27(a69,x56561),f3(a1))),
% 55.21/55.76 inference(rename_variables,[],[599])).
% 55.21/55.76 cnf(5664,plain,
% 55.21/55.76 (~E(f12(a69,x56641,f12(a69,f5(a2,a73),f3(a69))),x56641)),
% 55.21/55.76 inference(scs_inference,[],[205,1811,245,267,278,298,326,329,334,340,348,353,356,363,410,421,581,571,518,446,529,5394,5497,557,509,220,225,233,279,281,285,310,391,552,560,376,405,459,447,5341,5521,5648,448,5363,5381,5384,449,5371,321,379,386,397,402,419,495,600,440,498,499,603,5494,5518,515,5491,373,394,293,418,463,5364,457,580,210,407,260,302,253,259,292,306,400,338,392,383,258,587,345,212,403,208,370,307,382,209,320,599,291,250,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4221,4722,2156,4530,4008,4559,3325,5305,4979,5230,5470,5612,4162,4845,5441,5445,2659,4751,3863,4489,3337,4742,5026,5112,4581,4562,5092,1906,2128,3853,5022,5221,4556,4761,5127,4734,4526,3393,4861,4495,4462,4966,4833,5344,4976,2162,5463,3431,4583,4835,4553,5191,5486,4468,5352,5374,5403,5565,4256,4816,4572,2082,4338,2413,2006,4342,4921,2300,2392,2394,2396,2400,5096,3774,2228,4280,4078,5007,3439,4503,4394,3640,5217,4532,4638,5223,3720,2601,2264,3241,3885,1990,2648,3415,2451,3243,2316,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857])).
% 55.21/55.76 cnf(5665,plain,
% 55.21/55.76 (~E(f12(a69,f5(a2,a73),x56651),x56651)),
% 55.21/55.76 inference(rename_variables,[],[5230])).
% 55.21/55.76 cnf(5667,plain,
% 55.21/55.76 (P10(a1,x56671,f27(a69,f12(a69,x56672,f12(a69,f25(x56671),f4(a69)))))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,245,267,278,298,326,329,334,340,348,353,356,363,410,421,581,571,518,446,529,5394,5497,557,509,220,225,233,279,281,285,310,391,552,560,376,405,459,447,5341,5521,5648,448,5363,5381,5384,449,5371,321,379,386,397,402,419,495,5641,600,440,498,499,603,5494,5518,515,5491,373,394,293,418,463,5364,457,580,210,407,260,302,253,259,292,306,400,338,392,383,258,587,345,212,403,208,370,307,382,209,320,599,291,250,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4221,4722,2156,4530,4008,4559,3325,5305,4979,5230,5470,5612,4162,4845,5441,5445,2659,4751,3863,4489,3337,4742,5026,5112,4581,4562,5092,1906,2128,3853,5022,5221,4556,4761,5127,4734,4526,3393,4861,4495,4462,4966,4833,5344,4976,2162,5463,3431,4583,4835,4553,5191,5486,4468,5352,5374,5403,5565,4256,4816,4572,2082,4338,2413,2006,4342,4921,2300,2392,2394,2396,2400,5096,3774,2228,4280,4078,5007,3439,4503,4394,3640,5217,4532,4638,5223,3720,2601,2264,3241,3885,1990,2648,3415,2451,3243,2316,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431])).
% 55.21/55.76 cnf(5668,plain,
% 55.21/55.76 (P9(a69,x56681,f12(a69,x56682,x56681))),
% 55.21/55.76 inference(rename_variables,[],[495])).
% 55.21/55.76 cnf(5672,plain,
% 55.21/55.76 (P9(a69,x56721,f12(a69,f9(a69,x56721,x56722),x56722))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,245,267,278,298,326,329,334,340,348,353,356,363,410,421,581,571,518,446,529,5394,5497,557,509,220,225,233,279,281,285,310,391,552,560,376,405,459,447,5341,5521,5648,448,5363,5381,5384,449,5371,321,379,386,397,402,419,495,5641,600,440,498,499,603,5494,5518,515,5491,373,394,293,418,463,5364,457,580,210,407,260,302,253,259,292,306,400,338,392,383,258,587,345,212,403,208,370,307,382,209,320,599,291,250,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4221,4722,2156,4530,4008,4559,3325,5305,4979,5230,5470,5612,4162,4845,5441,5445,2659,4751,3863,4489,3337,4742,5026,5112,4581,4562,5092,1906,2128,3853,5022,5221,4556,4761,5127,4734,4526,3393,4861,4495,4462,4966,4833,5344,4976,2162,5463,3431,4583,4835,4553,5191,5486,4468,5352,5374,5403,5565,4256,4816,4572,2082,4338,2413,2006,4342,4921,2300,2392,2394,2396,2400,5096,3774,2228,4280,4078,5007,3439,4503,4394,3640,5217,4532,4638,5223,3720,2601,2264,3241,3885,1990,2648,3415,2451,3243,2316,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498])).
% 55.21/55.76 cnf(5673,plain,
% 55.21/55.76 (P9(a69,x56731,x56731)),
% 55.21/55.76 inference(rename_variables,[],[448])).
% 55.21/55.76 cnf(5675,plain,
% 55.21/55.76 (~P10(a69,f12(a69,f12(a69,x56751,f9(a69,x56752,x56753)),x56753),x56752)),
% 55.21/55.76 inference(scs_inference,[],[205,1811,245,267,278,298,326,329,334,340,348,353,356,363,410,421,581,571,518,446,529,5394,5497,557,509,220,225,233,279,281,285,310,391,552,560,376,405,459,447,5341,5521,5648,448,5363,5381,5384,449,5371,321,379,386,397,402,419,495,5641,600,440,498,499,603,5494,5518,515,5491,373,394,293,418,463,5364,457,580,210,407,260,302,253,259,292,306,400,338,392,383,258,587,345,212,403,208,370,307,382,209,320,599,291,250,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4221,4722,2156,4530,4008,4559,3325,5305,4979,5230,5470,5612,4162,4845,5441,5445,2659,4751,3863,4489,3337,4742,5026,5112,4581,4562,5092,1906,2128,3853,5022,5221,4556,4761,5127,4734,4526,3393,4861,4495,4462,4966,4833,5344,4976,2162,5463,3431,4583,4835,4553,5191,5486,4468,5352,5374,5403,5565,4256,4816,4572,2082,4338,2413,2006,4342,4921,2300,2392,2394,2396,2400,5096,3774,2228,4280,4078,5007,3439,4503,4394,3640,5217,4532,4638,5223,3720,2601,2264,3241,3885,1990,2648,3415,2451,3243,2316,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497])).
% 55.21/55.76 cnf(5676,plain,
% 55.21/55.76 (~P10(a69,f12(a69,x56761,x56762),x56762)),
% 55.21/55.76 inference(rename_variables,[],[600])).
% 55.21/55.76 cnf(5712,plain,
% 55.21/55.76 (~P10(a1,a34,f3(a1))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,571,518,446,529,5394,5497,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,335,391,552,560,294,376,405,459,447,5341,5521,5648,448,5363,5381,5384,449,5371,261,304,321,379,386,397,402,419,495,5641,600,440,498,499,603,5494,5518,515,5491,373,394,247,293,418,463,5364,457,580,252,210,264,407,260,385,302,253,259,292,306,400,338,392,383,258,587,345,212,403,208,370,307,382,222,209,320,599,291,250,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4221,4722,2156,4530,4008,4559,3325,5305,4979,5230,5470,5612,4162,4845,5441,5445,4068,2659,4751,3863,4489,3337,4742,5026,5112,4581,4562,5092,1906,2128,3853,5022,5221,4556,4761,5127,4734,4526,3393,4861,4495,4462,4966,4833,5344,4976,2162,5463,3431,4583,4835,4553,5191,5486,4468,5352,5374,5403,5565,4256,4816,4572,2082,4338,2413,2006,4342,4921,2300,2392,2394,2396,2400,5096,3774,2228,4280,4078,5007,3439,4503,4394,3640,5217,4532,4638,5138,5223,3720,2601,2264,3241,3885,2836,1990,2648,3415,2451,3243,2316,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099])).
% 55.21/55.76 cnf(5718,plain,
% 55.21/55.76 (P13(a1,x57181,f54(f54(f11(a1),x57182),f10(a1,f8(a1,x57181))))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,571,577,518,446,529,5394,5497,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,335,391,552,560,294,376,405,459,447,5341,5521,5648,448,5363,5381,5384,449,5371,261,304,321,379,386,397,402,419,495,5641,600,440,498,499,603,5494,5518,515,5491,373,394,247,293,418,463,5364,457,580,252,210,264,407,260,385,302,253,259,292,306,400,338,392,383,258,587,345,212,403,208,370,307,382,222,209,320,599,291,250,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4221,4722,2156,4530,4008,4559,3325,5305,4979,5230,5470,5612,4162,4845,5441,5445,4068,2659,4751,3863,4489,3337,4742,5026,5112,4581,4562,5092,1906,2128,3853,5022,5221,4556,4761,5127,4734,4526,3393,4677,4861,4495,4462,4966,4833,5344,4976,2162,5463,3431,4583,4835,4553,5191,5486,4468,5352,5374,5403,5565,4256,4816,4572,2082,4338,2413,2006,4342,4921,2300,2392,2394,2396,2400,5096,3774,2228,4280,4078,5007,3439,4503,4394,3640,5217,4532,4638,5138,5223,3720,2601,2264,3241,3885,2836,1990,2648,3415,2451,3243,2316,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133])).
% 55.21/55.76 cnf(5722,plain,
% 55.21/55.76 (~P9(a70,f54(f54(f11(a70),f12(a70,f9(a70,f3(a70),f4(a70)),f9(a70,f3(a70),f4(a70)))),f3(a70)),f54(f54(f11(a70),f12(a70,f9(a70,f3(a70),f4(a70)),f9(a70,f3(a70),f4(a70)))),f4(a70)))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,571,577,518,446,529,5394,5497,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,335,391,552,560,294,376,405,459,447,5341,5521,5648,448,5363,5381,5384,449,5371,261,304,321,379,386,397,402,419,495,5641,600,440,498,499,603,5494,5518,515,5491,373,394,247,293,418,463,5364,457,580,252,210,264,407,260,385,302,253,259,292,306,400,338,392,383,258,587,345,212,403,208,370,307,382,222,209,320,599,291,250,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4221,4722,2156,4530,4008,4559,3325,5305,4979,5230,5470,5612,4162,4845,5441,5445,4068,2659,4751,3863,4489,3337,4742,5026,5112,4581,4562,5092,1906,2128,3853,5022,5221,4556,4761,5127,4734,4526,3393,4677,4861,4495,4462,4966,4833,5344,4976,2162,5463,3431,4583,4835,4553,5191,5486,4468,5352,5374,5403,5565,4256,4816,4572,2082,4338,2413,2006,4342,4921,2300,2392,2394,2396,2400,5096,3774,2228,4280,5246,4078,5007,3439,4503,4394,3640,5217,4532,4638,5138,5223,3720,2601,2264,3241,3885,2836,1990,2648,3415,2451,3243,2316,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445])).
% 55.21/55.76 cnf(5730,plain,
% 55.21/55.76 (~E(f10(a70,f12(a69,f10(a70,f12(a70,f4(a70),f9(a69,f10(a70,x57301),f10(a70,x57301)))),f10(a70,x57301))),x57301)),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,571,577,518,446,529,5394,5497,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,335,391,552,560,294,376,405,459,447,5341,5521,5648,448,5363,5381,5384,449,5371,261,304,321,379,386,397,402,419,495,5641,600,440,498,499,603,5494,5518,515,5491,373,394,247,293,418,463,5364,457,580,252,210,264,407,260,385,302,253,259,292,306,400,338,392,383,258,587,345,212,403,208,370,307,382,222,209,320,599,291,250,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4221,4722,2156,4530,4008,4559,3325,5305,4979,5230,5470,5612,4162,4845,5441,5445,4068,2659,4751,5640,3863,4566,4489,3337,4742,5026,5112,4581,4562,5092,1906,4738,2128,3853,5022,5221,4556,4761,5127,4734,4526,3393,4677,4861,4495,4462,4966,4833,5344,4976,2162,5463,3431,4583,4835,4553,5191,5486,5598,4468,5352,5374,5403,5565,4256,4816,4572,2082,4338,2413,2006,4342,4921,2300,2392,2394,2396,2400,5096,3774,2228,4280,5246,4078,5007,3439,4503,4394,3640,5217,4532,4638,5138,5223,3720,2601,2264,3241,3885,2836,1990,2648,3415,2451,3243,2316,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724])).
% 55.21/55.76 cnf(5731,plain,
% 55.21/55.76 (~E(x57311,f12(a69,f10(a70,f12(a70,f4(a70),f9(a69,x57311,x57311))),x57311))),
% 55.21/55.76 inference(rename_variables,[],[4751])).
% 55.21/55.76 cnf(5735,plain,
% 55.21/55.76 (~E(f10(a70,f12(a70,f4(a70),f10(a70,f3(a70)))),f3(a70))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,571,577,518,446,529,5394,5497,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,335,391,552,560,294,376,405,459,447,5341,5521,5648,448,5363,5381,5384,449,5371,261,304,321,379,386,397,402,419,495,5641,600,440,498,499,603,5494,5518,515,5491,373,394,247,293,418,463,5364,457,580,252,210,264,407,260,385,302,253,259,292,306,400,338,392,383,258,587,345,212,403,208,370,307,382,222,209,320,599,291,250,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4221,1935,4722,2156,4530,4008,4559,3325,5305,4979,5230,5470,5612,4162,4845,5441,5445,4068,2659,4751,5640,3863,4566,4489,3337,4742,5026,4267,5112,4581,4562,5092,1906,4738,2128,3853,5022,5221,4556,4761,5127,4734,4526,3393,4677,4861,4495,4462,4966,4833,5344,4976,2162,5463,3431,4583,4835,4553,5191,5486,5598,4468,5352,5374,5403,5565,4256,4816,4572,2082,4338,2413,2006,4342,4921,2300,2392,2394,2396,2400,5096,3774,2228,4280,5246,4078,5007,3439,4503,4394,3640,5217,4532,4638,5138,5223,3720,2601,2264,3241,3885,2836,1990,2648,3415,2451,3243,2316,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691])).
% 55.21/55.76 cnf(5739,plain,
% 55.21/55.76 (~E(f3(a2),f10(a2,a83))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,571,577,518,446,529,5394,5497,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,335,391,552,560,294,376,405,459,447,5341,5521,5648,448,5363,5381,5384,449,5371,261,304,321,379,386,397,402,419,495,5641,600,440,498,499,603,5494,5518,515,5491,373,394,247,293,418,463,5364,457,580,252,210,264,407,260,385,302,253,259,292,306,400,338,392,383,258,587,345,212,403,208,370,307,382,222,209,320,599,291,250,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4722,2156,4530,4008,4559,3325,5305,4979,5230,5470,5612,4162,4845,5441,5445,4068,2659,4751,5640,3863,4566,4489,3337,4742,5026,4267,5112,4581,4562,5092,1906,4738,2128,3853,5022,5221,4556,4761,5127,4734,4526,3393,4677,4861,4495,4462,4966,4833,5344,4976,2162,5463,3431,4583,4835,4553,5191,5486,5598,4468,5352,5374,5403,5565,4256,4816,4572,2082,4338,2413,2006,4342,4921,2300,2392,2394,2396,2400,5096,3774,2228,4280,5246,4078,5007,3439,4503,4394,3640,5217,4532,4638,5138,5223,3720,2601,2264,3241,3885,2836,1990,2648,3415,2451,3243,2316,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862])).
% 55.21/55.76 cnf(5742,plain,
% 55.21/55.76 (~P10(a69,f12(a69,x57421,x57422),x57422)),
% 55.21/55.76 inference(rename_variables,[],[600])).
% 55.21/55.76 cnf(5744,plain,
% 55.21/55.76 (P10(a69,x57441,f12(a69,f54(f54(f11(a69),f9(a69,x57442,x57442)),x57443),f14(f12(a1,f27(a69,f12(a69,f54(f54(f11(a69),f9(a69,x57442,x57442)),x57443),x57441)),f4(a1)))))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,571,577,518,446,529,5394,5497,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,335,391,552,560,294,376,405,459,447,5341,5521,5648,448,5363,5381,5384,5673,449,5371,261,304,321,379,386,397,402,419,495,5641,600,5676,440,498,499,603,5494,5518,515,5491,373,394,247,293,418,463,5364,457,580,252,210,264,407,260,385,302,253,259,292,306,400,338,392,383,258,587,345,212,403,208,370,307,382,222,209,320,599,291,250,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4722,2156,4530,4008,4559,3325,5305,4979,5230,5470,5612,4162,4845,5441,5445,4068,2659,4751,5640,3863,4566,4489,3337,4742,5026,4267,5112,4581,4562,5092,1906,4738,2128,3853,5022,5221,4556,4761,5127,4734,4526,3393,4677,4861,4495,4462,4966,4833,5344,4976,2162,5463,3431,4583,4835,4553,5191,5486,5598,4468,5352,5374,5403,5565,4256,5098,4816,4572,2082,4338,2413,2006,4342,4921,2300,2392,2394,2396,2400,5096,3774,2228,4280,5246,4078,5007,3439,4503,4394,3640,5217,4532,4638,5138,5223,3720,2601,2264,3241,3885,2836,1990,2648,3415,2451,3243,2316,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782])).
% 55.21/55.76 cnf(5747,plain,
% 55.21/55.76 (~P10(a1,f12(a1,f54(f54(f11(a1),f9(a1,f9(a1,f9(a1,x57471,x57472),f9(a1,x57471,x57472)),x57473)),x57474),f12(a1,f54(f54(f11(a1),x57473),x57474),x57475)),x57475)),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,571,577,518,446,529,5394,5497,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,335,391,552,560,294,376,405,459,447,5341,5521,5648,448,5363,5381,5384,5673,449,5371,261,304,321,379,386,397,402,419,495,5641,600,5676,440,498,499,603,5494,5518,515,5491,373,394,247,293,418,463,5364,457,580,252,210,264,407,260,385,302,253,259,292,306,400,338,392,383,258,587,345,212,403,208,370,307,382,222,209,320,599,291,250,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4722,2156,4530,4008,4559,3325,5305,4979,5230,5470,5612,4162,4845,5441,5445,4068,2659,4751,5640,3863,4566,4489,3337,4742,5026,4267,5112,4581,4562,5092,1906,4738,2128,3853,5022,5221,4556,4761,5127,4734,4526,3393,4677,4861,4495,4462,4966,4831,4833,5344,4976,2162,5463,3431,4583,4835,4553,5191,5486,5598,4468,5352,5374,5403,5565,4256,5098,4816,4572,2082,4338,2413,2006,4342,4921,2300,2392,2394,2396,2400,5096,3774,2228,4280,5246,4078,5007,3439,4503,4394,3640,5217,4532,4638,5138,5223,3720,2601,2264,3241,3885,2836,1990,2648,3415,2451,3243,2316,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797])).
% 55.21/55.76 cnf(5748,plain,
% 55.21/55.76 (~P10(a1,f12(a1,f54(f54(f11(a1),f9(a1,f9(a1,x57481,x57482),f9(a1,x57481,x57482))),x57483),x57484),x57484)),
% 55.21/55.76 inference(rename_variables,[],[4831])).
% 55.21/55.76 cnf(5753,plain,
% 55.21/55.76 (~E(f12(a2,f54(f54(f11(a2),x57531),x57532),f12(a69,f5(a2,a73),f12(a2,f54(f54(f11(a2),f9(a2,x57533,x57531)),x57532),x57534))),f12(a2,f54(f54(f11(a2),x57533),x57532),x57534))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,571,577,518,446,529,5394,5497,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,335,391,552,560,294,376,405,459,447,5341,5521,5648,448,5363,5381,5384,5673,449,5371,261,304,321,379,386,397,402,419,495,5641,600,5676,440,498,499,603,5494,5518,515,5491,373,394,247,293,418,463,5364,457,580,252,210,264,407,260,385,302,253,259,292,306,400,338,392,383,258,587,345,212,403,208,370,307,382,222,209,320,599,291,250,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4722,2156,4530,4008,4559,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,3863,4566,4489,3337,4742,5026,4267,5112,4581,4562,5092,1906,4738,2128,3853,5022,5221,4556,4761,5127,4734,4526,3393,4677,4861,4495,4462,4966,4831,5748,4833,5344,4976,2162,5463,3431,4583,4835,4553,5191,5486,5598,4468,5352,5374,5403,5565,4256,5098,4816,4572,2082,4338,2413,2006,4342,4921,2300,2392,2394,2396,2400,5096,3774,2228,4280,5246,4078,5007,3439,4503,4394,3640,5217,4532,4638,5138,5223,3720,2601,2264,3241,3885,2836,1990,2648,3415,2451,3243,2316,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753])).
% 55.21/55.76 cnf(5756,plain,
% 55.21/55.76 (P9(a70,x57561,x57561)),
% 55.21/55.76 inference(rename_variables,[],[449])).
% 55.21/55.76 cnf(5773,plain,
% 55.21/55.76 (P9(a1,x57731,x57731)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(5777,plain,
% 55.21/55.76 (~P10(a1,f12(a1,f8(a1,x57771),f4(a1)),x57771)),
% 55.21/55.76 inference(rename_variables,[],[603])).
% 55.21/55.76 cnf(5780,plain,
% 55.21/55.76 (P9(a1,x57801,x57801)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(5793,plain,
% 55.21/55.76 (P9(a1,x57931,x57931)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(5795,plain,
% 55.21/55.76 (~E(f54(f54(f11(a70),f3(a70)),f4(a70)),f54(f54(f11(a70),f4(a70)),f4(a70)))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,571,577,518,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,459,447,5341,5521,5648,5773,5780,448,5363,5381,5384,5673,449,5371,5584,261,304,321,322,379,386,397,402,419,495,5641,600,5676,440,498,499,603,5494,5518,5579,515,5491,373,394,247,254,293,418,463,5364,457,580,602,252,375,210,264,407,260,385,302,253,259,292,306,400,338,392,383,258,587,345,212,403,208,370,307,382,222,209,320,599,207,291,250,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4722,2156,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,3863,4566,4489,3337,4742,5026,4267,5112,4581,3746,4562,5092,4724,1906,4738,2128,3853,5022,5221,4556,4761,5127,4734,4526,3393,4677,4861,4495,4462,4966,4831,5748,4833,5344,4976,2162,5463,3431,4583,4835,4553,5191,5486,5598,4468,5352,5374,5403,5565,4256,5098,2946,4816,4572,2082,4338,2413,2006,4342,4921,2300,2392,2394,2396,2400,5096,3774,2228,4280,5246,4078,5007,3439,4503,4394,3640,5217,4532,3355,4369,4638,5138,5223,3720,2601,2264,3241,3885,2836,1990,2648,3415,2451,2699,3243,2338,2316,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852])).
% 55.21/55.76 cnf(5798,plain,
% 55.21/55.76 (P10(a70,x57981,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x57981,f3(a70))),f4(a70))),f4(a70)))),
% 55.21/55.76 inference(rename_variables,[],[4976])).
% 55.21/55.76 cnf(5807,plain,
% 55.21/55.76 (E(f14(f27(a69,x58071)),x58071)),
% 55.21/55.76 inference(rename_variables,[],[440])).
% 55.21/55.76 cnf(5817,plain,
% 55.21/55.76 (E(f54(f54(f11(a69),f54(f54(f11(a69),x58171),f3(a69))),x58172),f54(f54(f11(a69),f54(f54(f11(a69),x58171),f3(a69))),x58173))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,571,577,518,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,459,447,5341,5521,5648,5773,5780,448,5363,5381,5384,5673,449,5371,5584,261,304,321,322,379,386,397,402,419,495,5641,600,5676,440,498,499,603,5494,5518,5579,515,5491,373,394,247,254,293,418,463,5364,457,580,602,252,375,210,264,407,260,385,302,253,259,292,306,400,338,392,383,258,587,345,212,403,208,370,307,382,222,209,320,599,207,291,250,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4722,1914,2156,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,3863,4566,4489,3337,4742,5026,4267,5112,4581,3746,4562,5092,4724,1906,4738,2128,3853,5022,5221,4556,4761,5127,4734,4526,3393,4677,4861,4495,1880,4462,4966,4831,5748,4833,5344,4976,2162,5463,3431,4583,4835,4553,5191,5486,5598,4468,5352,5374,5403,5565,4256,5098,2946,4816,4572,2082,4338,2413,2006,4342,4921,2300,2392,2394,2396,2400,5096,3774,2228,4280,5246,4078,2439,5007,3439,4503,4394,3640,5217,4532,3355,4369,4638,5138,5223,3720,2601,1942,2264,3241,3885,2836,1990,2648,3415,2451,2699,3243,2338,2316,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906])).
% 55.21/55.76 cnf(5825,plain,
% 55.21/55.76 (P9(f72(a1),f3(f72(a1)),f12(f72(a1),f54(f54(f11(f72(a1)),f12(f72(a1),f23(a1,x58251,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x58252,f12(a1,f3(f72(a1)),f4(a1))))),f12(f72(a1),f23(a1,x58251,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x58252,f12(a1,f3(f72(a1)),f4(a1))))),f54(f54(f11(f72(a1)),f12(f72(a1),f23(a1,x58251,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x58252,f12(a1,f3(f72(a1)),f4(a1))))),f12(f72(a1),f23(a1,x58251,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x58252,f12(a1,f3(f72(a1)),f4(a1)))))))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,571,577,518,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,459,447,5341,5521,5648,5773,5780,448,5363,5381,5384,5673,449,5371,5584,261,304,321,322,379,386,397,402,419,495,5641,5668,600,5676,440,498,499,603,5494,5518,5579,515,5491,373,394,247,254,293,418,463,5364,457,580,602,252,375,210,264,407,260,385,302,253,259,292,306,400,338,392,383,258,587,345,212,403,208,370,307,382,222,209,320,599,207,291,250,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4722,1914,2156,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,3863,4566,4489,3337,4742,5026,4267,5112,4581,3746,4562,5092,4724,1906,4738,2128,3853,5022,5221,4556,4761,5127,4734,4526,3393,4677,4861,4495,1880,4462,4966,4831,5748,4833,5344,4976,2162,5463,3431,4583,4835,4553,5191,5486,5598,4468,5352,5374,5403,5565,4256,5098,2946,4816,4572,2082,4338,2413,2006,4342,4921,2300,2392,2394,2396,2400,5096,3774,2228,4280,5246,4078,2439,5007,3439,4503,4394,3640,5217,5321,4532,3355,4369,4638,5138,5223,3720,2601,1942,2264,3241,3885,2836,1990,2648,3415,2451,2699,3243,2338,2316,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322])).
% 55.21/55.76 cnf(5827,plain,
% 55.21/55.76 (P10(a1,f9(a1,f9(a1,x58271,f4(a1)),f27(a69,f25(x58271))),f3(a1))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,571,577,518,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,459,447,5341,5521,5648,5773,5780,448,5363,5381,5384,5673,449,5371,5584,261,304,321,322,379,386,397,402,419,495,5641,5668,600,5676,440,498,499,603,5494,5518,5579,515,5491,373,394,247,254,293,418,463,5364,457,580,602,252,375,210,264,407,260,385,302,253,259,292,306,400,338,392,383,258,587,345,212,403,208,370,307,382,222,209,320,599,207,291,250,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4722,1914,2156,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,3863,4566,4489,3337,4742,5026,4267,5112,4581,3746,4562,5092,4724,1906,4738,2128,3853,5022,5221,4556,4761,5127,4734,4526,3393,4677,4861,4495,1880,4462,4966,4831,5748,4833,5344,4976,2162,5463,3431,4583,4835,4553,5191,5486,5598,4468,5352,5374,5403,5565,4256,5098,2946,4816,4572,2082,4338,2413,2006,4342,4921,2300,2392,2394,2396,2400,5096,3774,2228,4280,5246,4078,2439,5007,3439,4503,4394,3640,5217,5321,4532,3355,4369,4638,5138,5223,3720,2601,1942,2264,3241,3885,2836,1990,2648,3415,2451,2699,3243,2338,2316,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295])).
% 55.21/55.76 cnf(5837,plain,
% 55.21/55.76 (P9(a69,f9(a69,x58371,x58372),x58371)),
% 55.21/55.76 inference(rename_variables,[],[497])).
% 55.21/55.76 cnf(5840,plain,
% 55.21/55.76 (~P10(a1,f27(a69,x58401),f3(a1))),
% 55.21/55.76 inference(rename_variables,[],[599])).
% 55.21/55.76 cnf(5846,plain,
% 55.21/55.76 (P10(a1,x58461,f12(a1,f27(a69,f25(x58461)),f4(a1)))),
% 55.21/55.76 inference(rename_variables,[],[515])).
% 55.21/55.76 cnf(5851,plain,
% 55.21/55.76 (P9(a1,x58511,x58511)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(5868,plain,
% 55.21/55.76 (P9(a69,x58681,f54(f54(f11(a69),x58681),f54(f54(f11(a69),x58681),x58681)))),
% 55.21/55.76 inference(rename_variables,[],[527])).
% 55.21/55.76 cnf(5871,plain,
% 55.21/55.76 (P9(a69,x58711,f54(f54(f11(a69),x58711),f54(f54(f11(a69),x58711),x58711)))),
% 55.21/55.76 inference(rename_variables,[],[527])).
% 55.21/55.76 cnf(5887,plain,
% 55.21/55.76 (P9(a70,x58871,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x58871,f12(a70,f3(a70),f4(a70)))),f4(a70))),f4(a70)))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,571,577,518,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,448,5363,5381,5384,5673,449,5371,5584,261,304,321,322,379,386,397,402,419,495,5641,5668,497,600,5676,440,5807,498,499,603,5494,5518,5579,5777,515,5491,527,5868,373,394,247,254,293,418,463,5364,457,580,602,252,375,210,264,407,260,385,302,253,259,292,306,400,338,392,383,258,587,345,212,403,208,370,307,382,222,209,320,599,5656,5840,207,291,250,257,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4722,1914,2156,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,3863,4566,4489,4787,4156,3337,4742,5013,5026,4267,5112,4581,3746,4562,5092,4259,4724,3744,1906,4738,2128,2053,3853,5022,5221,4556,4807,4761,5127,4734,4526,3393,4677,4861,4495,1880,4462,4966,4831,5748,4833,5344,4976,2162,5463,4963,3431,4583,4835,4553,5191,5486,5598,4468,5352,5374,5403,5565,4256,5098,2946,4816,4572,2082,4338,2413,2006,4342,4921,2300,2356,2392,2394,2396,2400,5244,5096,4747,3774,2228,4280,5246,4078,2439,5007,3439,4503,4484,4394,3640,5217,5321,4532,3355,4369,4638,5138,5223,3720,3373,2601,1942,2264,3241,3885,2473,2836,1990,2648,3415,2451,2699,3243,2338,2316,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385])).
% 55.21/55.76 cnf(5888,plain,
% 55.21/55.76 (P9(a70,f9(a70,x58881,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x58881,f12(a70,x58882,f4(a70)))),f4(a70))),f4(a70))),x58882)),
% 55.21/55.76 inference(rename_variables,[],[4963])).
% 55.21/55.76 cnf(5894,plain,
% 55.21/55.76 (~P8(a69)),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,571,577,518,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,448,5363,5381,5384,5673,449,5371,5584,261,304,321,322,379,386,397,402,419,495,5641,5668,497,600,5676,440,5807,498,499,603,5494,5518,5579,5777,515,5491,527,5868,373,394,247,254,293,418,463,5364,457,580,602,252,375,210,264,407,260,385,302,253,259,292,306,400,338,392,383,258,587,345,212,403,208,370,307,382,222,209,320,599,5656,5840,207,291,250,257,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4722,1914,2156,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,3863,4566,4489,4787,4156,3337,4742,5013,5026,4267,5112,4581,3746,4562,5092,4259,4724,3744,1906,4738,2128,2053,3853,5022,5221,3926,4556,4807,4761,5127,4734,4526,3393,4677,4861,4495,1880,4462,4966,4831,5748,4833,5344,4976,2162,5463,4963,3431,4583,4835,4553,5191,5486,5598,4468,5352,5374,5403,5565,4256,5098,2946,4816,4572,2082,4338,2413,2006,4342,4921,2300,2356,2392,2394,2396,2400,5244,5096,4747,3774,2228,4280,5246,4078,2439,5007,3439,4503,4484,4394,3640,5217,5321,4532,3355,4369,4638,5138,5223,3720,3373,2601,1942,2264,3241,3885,2473,2836,1990,2648,3415,2451,2431,2699,3243,2338,2316,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971])).
% 55.21/55.76 cnf(5899,plain,
% 55.21/55.76 (P9(a69,x58991,f12(a69,x58992,x58991))),
% 55.21/55.76 inference(rename_variables,[],[495])).
% 55.21/55.76 cnf(5907,plain,
% 55.21/55.76 (P10(a70,f9(a70,x59071,f4(a70)),x59071)),
% 55.21/55.76 inference(rename_variables,[],[1826])).
% 55.21/55.76 cnf(5908,plain,
% 55.21/55.76 (P9(a70,x59081,x59081)),
% 55.21/55.76 inference(rename_variables,[],[449])).
% 55.21/55.76 cnf(5922,plain,
% 55.21/55.76 (P9(a70,x59221,x59221)),
% 55.21/55.76 inference(rename_variables,[],[449])).
% 55.21/55.76 cnf(5930,plain,
% 55.21/55.76 (~P9(a70,f3(a70),f9(a70,f3(a70),f4(a70)))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,605,571,577,518,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,497,600,5676,440,5807,498,499,603,5494,5518,5579,5777,515,5491,527,5868,373,394,247,254,293,418,463,5364,457,580,602,252,375,210,378,264,407,260,385,302,253,259,292,306,400,338,392,383,258,587,345,212,403,208,370,307,382,371,222,209,320,599,5656,5840,207,291,250,257,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4722,1914,2156,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,5731,3863,4566,4489,4787,4156,3337,4742,5013,5026,4267,5112,4581,3746,4562,5092,4259,4724,3744,1906,4738,2128,2053,3853,5022,5221,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,4495,1880,4462,4966,4831,5748,4833,5344,4976,2162,5463,1829,4963,3431,4583,4835,1826,1939,4553,5191,5486,5598,4468,5352,5374,5403,5565,4256,5098,2946,4816,4572,2082,4338,2413,2006,4342,4921,2300,2356,2392,2394,2396,2400,5244,5096,4747,3774,2228,4280,5246,4078,2439,5007,3439,4503,4484,4394,3640,5217,5321,4532,3355,4369,4638,5138,5223,3720,3373,2601,1942,2264,3241,3885,2473,2836,1990,2648,3415,2451,2431,2699,3243,2338,2316,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683])).
% 55.21/55.76 cnf(5943,plain,
% 55.21/55.76 (~P10(a69,f5(a2,a73),f4(a69))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,605,571,577,518,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,497,5837,600,5676,440,5807,498,499,603,5494,5518,5579,5777,515,5491,527,5868,373,394,247,254,293,418,463,5364,457,580,602,252,375,210,378,264,407,260,385,302,404,253,259,292,306,400,338,392,383,258,587,345,212,403,208,370,307,382,371,222,209,320,599,5656,5840,207,291,250,257,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,5731,3863,4566,4489,4787,4156,3337,4742,5013,5026,4267,5112,4581,3746,4562,5092,4259,4724,3744,1906,4738,4138,2128,2053,3853,5022,5221,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,4495,1880,4462,4966,4831,5748,4833,5344,4976,2162,5463,1829,4963,3431,4583,4835,5570,1826,1939,4553,5191,5486,5598,4468,5352,5374,5403,5565,4256,5098,2946,4816,4572,2082,4338,2413,2006,4342,4921,2300,2346,2356,2392,2394,2396,2400,5244,5096,4747,3774,2228,4280,5246,4078,2439,5007,3439,4503,4484,4394,3640,5217,5321,4532,3355,4369,4638,5138,5223,3720,3373,2601,1942,2264,3241,3885,2473,2836,1990,2648,3415,2451,2431,2699,3243,2338,2316,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029])).
% 55.21/55.76 cnf(5948,plain,
% 55.21/55.76 (~P10(a1,f3(a1),f26(a1,f3(a1)))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,605,571,577,518,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,497,5837,600,5676,440,5807,498,499,603,5494,5518,5579,5777,515,5491,527,5868,373,394,247,254,293,418,463,5364,457,580,602,252,375,210,378,264,407,260,385,302,404,253,259,292,306,400,338,392,383,258,587,345,212,403,208,370,307,382,371,222,209,320,599,5656,5840,207,291,250,257,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,5731,3863,4566,4489,4787,4156,3337,1975,4742,5013,5026,4267,5112,4581,3746,4562,5092,4259,4724,3744,1906,4738,4138,2128,2053,3853,5022,5221,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,4495,1880,4462,4966,4831,5748,4833,5344,4976,2162,5463,1829,4963,3431,4583,4835,5570,1826,1939,4553,5191,5486,5598,4468,5352,5374,5403,5565,4256,5098,2946,4816,4572,2082,4338,2413,2006,4342,4493,4921,2300,2346,2356,2392,2394,2396,2400,5244,5096,4747,3774,2228,4280,5246,4078,2439,5007,3439,4503,4484,4394,3640,5217,5321,4532,3355,4369,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3885,2473,2836,1990,2648,3415,2451,2431,2699,3243,2338,2316,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379])).
% 55.21/55.76 cnf(5953,plain,
% 55.21/55.76 (~P10(a69,f12(a69,f12(a69,f54(f54(f11(a69),x59531),x59532),f12(a69,f54(f54(f11(a69),f9(a69,x59531,x59531)),x59532),x59533)),x59534),x59533)),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,605,571,577,518,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,497,5837,600,5676,440,5807,498,499,603,5494,5518,5579,5777,515,5491,527,5868,373,394,247,254,293,418,463,5364,457,580,602,252,375,210,378,264,407,260,385,302,404,253,259,292,306,400,372,338,392,383,258,587,345,212,403,208,370,307,382,371,222,209,320,599,5656,5840,207,291,250,257,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,5731,3863,4566,4489,4787,4156,3337,1975,4742,5013,5026,4267,5112,4581,3746,4562,5092,4259,4724,3744,1906,4738,4138,2128,2053,3853,5022,5221,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,4495,1880,4462,4966,4831,5748,4833,5344,4976,2162,5463,1829,4963,3431,4583,2103,4835,5570,1826,1939,4553,5191,5486,5598,4468,5352,5374,5403,5565,4256,2165,5098,2946,4816,4572,2082,4338,2413,2006,4342,4493,4921,2300,2346,2356,2392,2394,2396,2400,5244,5096,4747,3774,2228,4280,5246,4078,2439,5007,3439,4503,4484,4394,3640,5217,5321,4532,3355,4369,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3885,2473,2836,1990,2648,3415,2451,2431,2699,3243,2338,2316,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438])).
% 55.21/55.76 cnf(5956,plain,
% 55.21/55.76 (P9(a69,x59561,f12(a69,x59562,f54(f54(f11(a69),x59561),f54(f54(f11(a69),x59561),x59561))))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,605,571,577,518,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,497,5837,600,5676,440,5807,498,499,603,5494,5518,5579,5777,515,5491,527,5868,5871,373,394,247,254,293,418,463,5364,457,580,602,252,375,210,378,264,407,260,385,302,404,253,259,292,306,400,372,338,392,383,258,587,345,212,403,208,370,307,382,371,222,209,320,599,5656,5840,207,291,250,257,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,5731,3863,4566,4489,4787,4156,3337,1975,4742,5013,5026,4267,5112,4581,3746,4562,5092,4259,4724,3744,1906,4738,4138,2128,2053,3853,5022,5221,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,4495,1880,4462,4966,4831,5748,4833,5344,4976,2162,5463,1829,4963,3431,4583,2103,4835,5570,1826,1939,4553,5191,5486,5598,4468,5352,5374,5403,5565,4256,2165,5098,2946,4816,4572,2082,4338,2413,2006,4342,4493,4921,2300,2346,2356,2392,2394,2396,2400,5244,5096,4747,3774,2228,4280,5246,4078,2439,5007,3439,4503,4484,4394,3640,5217,5321,4532,3355,4369,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3885,2473,2836,1990,2648,3415,2451,2431,2699,3243,2338,2316,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256])).
% 55.21/55.76 cnf(5958,plain,
% 55.21/55.76 (~P9(a69,f12(a69,x59581,f12(a69,f5(a2,a73),x59582)),x59582)),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,605,571,577,518,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,497,5837,600,5676,440,5807,498,499,603,5494,5518,5579,5777,515,5491,527,5868,5871,373,394,247,254,293,418,463,5364,457,580,602,252,375,210,378,264,407,260,385,302,404,253,259,292,306,400,372,338,392,383,258,587,345,212,403,208,370,307,382,371,222,209,320,599,5656,5840,207,291,250,257,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,5731,3863,4566,4489,4787,4156,3337,1975,4742,5013,5026,4267,5112,4581,3746,4562,5092,4259,4724,3744,1906,4738,4138,2128,2053,3853,5022,5221,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,4495,1880,4462,4966,4831,5748,4833,5344,4976,2162,5463,1829,4963,3431,4583,5124,2103,4835,5570,1826,1939,4553,5191,5486,5598,4468,5352,5374,5403,5565,4256,2165,5098,2946,4816,4572,2082,4338,2413,2006,4342,4493,4921,2300,2346,2356,2392,2394,2396,2400,5244,5096,4747,3774,2228,4280,5246,4078,2439,5007,3439,4503,4484,4394,3640,5217,5321,4532,3355,4369,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3885,2473,2836,1990,2648,3415,2451,2431,2699,3243,2338,2316,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442])).
% 55.21/55.76 cnf(5961,plain,
% 55.21/55.76 (~P10(a69,x59611,f54(f54(f11(a69),f9(a69,f12(a69,a78,f4(a69)),f12(a69,a78,f4(a69)))),x59612))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,605,571,577,518,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,497,5837,600,5676,440,5807,498,499,603,5494,5518,5579,5777,515,5491,527,5868,5871,373,394,247,254,293,418,463,5364,457,580,602,252,375,210,378,264,407,260,385,302,404,253,259,292,306,400,372,338,392,383,258,587,345,212,403,208,370,307,382,371,222,209,320,599,5656,5840,207,291,250,257,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,5731,3863,4566,4489,4787,4156,3337,1975,4742,5013,5026,4267,5112,4581,3746,4562,5092,4259,4724,3744,1906,4738,4138,2128,2053,3853,5022,5221,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,4495,1880,4462,4966,4831,5748,4833,5344,4976,2162,5463,1829,4963,3431,4583,5124,2103,4835,5570,1826,1939,4553,5191,5486,5598,4468,5352,5374,5403,5565,4256,2165,3595,5098,2946,4816,4572,2082,4338,2413,2006,4342,4493,4921,2300,2346,2356,2392,2394,2396,2400,5244,5096,4747,3774,2228,4280,5246,4078,2439,5007,3439,4503,4484,4394,3640,5217,5321,4532,3355,4369,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3885,2473,2836,1990,2648,3415,2451,2431,2699,3243,2338,2316,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439])).
% 55.21/55.76 cnf(5967,plain,
% 55.21/55.76 (P10(a70,f9(a70,x59671,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x59671,f12(a70,f9(a70,x59672,f4(a70)),f4(a70)))),f4(a70))),f4(a70))),x59672)),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,605,571,577,518,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,497,5837,600,5676,440,5807,498,499,603,5494,5518,5579,5777,515,5491,527,5868,5871,373,394,247,254,293,418,463,5364,457,580,602,252,375,210,378,264,407,260,385,302,404,253,259,292,306,400,372,338,392,383,258,587,345,212,403,208,370,307,382,371,222,209,320,599,5656,5840,207,291,250,257,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,5731,3863,4566,4489,4787,4156,3337,1975,4742,5013,5026,4267,5112,4581,3746,4562,5092,4259,4724,3744,1906,4738,4138,2128,2053,3853,5022,5221,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,4495,1880,4462,4966,4831,5748,4833,5344,4976,2162,5463,1829,4963,5888,3431,4583,5124,2103,4835,5570,1826,1939,4553,5191,5486,5598,4468,5352,5374,5403,5565,4256,2165,3595,5098,2946,4816,4572,2082,4338,2413,2006,4342,4493,4921,2300,2346,2356,2392,2394,2396,2400,5244,5096,4747,3774,2228,4280,5246,4078,2439,5007,3439,4503,4484,4394,3640,5281,5217,5321,4532,3355,4369,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3885,2473,2836,1990,2648,3415,2451,2431,2699,3243,2338,2316,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363])).
% 55.21/55.76 cnf(5972,plain,
% 55.21/55.76 (~P9(a1,f3(a1),f54(f54(f21(a1),f28(a2,a83)),a78))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,605,571,577,518,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,497,5837,600,5676,440,5807,498,499,603,5494,5518,5579,5777,515,5491,527,5868,5871,373,394,247,254,293,418,463,5364,457,580,602,252,375,210,378,264,407,260,385,302,404,253,259,292,306,400,372,338,392,383,258,587,345,212,403,208,370,307,382,371,222,209,320,599,5656,5840,207,291,250,257,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,5731,3863,4566,4489,4787,4156,3337,1975,4742,5013,5026,4267,5112,4581,3746,4562,5092,4259,4724,3744,1906,4738,4138,2128,2053,3853,5022,5221,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,4495,1880,4462,4966,4831,5748,4833,5344,4976,2162,5463,1829,4963,5888,3431,4583,5124,2103,4835,5570,1826,1939,4553,5191,5486,5598,4468,5352,5374,5403,5565,4256,2165,3595,5098,2946,4816,4572,2082,4338,2413,2006,4342,4493,4921,2300,2346,2356,2392,2394,2396,2400,5244,5096,4747,3774,2228,4280,5246,4078,2439,5007,3439,4503,4484,4394,3640,5281,5217,5321,4532,3355,4369,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3885,2473,2836,1990,2648,3415,3339,2451,2431,2699,3243,2338,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454])).
% 55.21/55.76 cnf(5974,plain,
% 55.21/55.76 (P9(a1,f27(a69,f9(a69,f25(f3(a1)),x59741)),f3(a1))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,605,571,577,518,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,497,5837,600,5676,440,5807,498,499,603,5494,5518,5579,5777,515,5491,527,5868,5871,373,394,247,254,293,418,463,5364,457,580,602,252,375,210,378,264,407,260,385,302,404,253,259,292,306,400,372,338,392,383,258,587,345,212,403,208,370,307,382,371,222,209,320,599,5656,5840,207,291,250,257,314,344,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,5731,3863,4566,4489,4787,4156,3337,1975,4742,5013,5026,4267,5112,4581,3746,4562,5092,4259,4724,3744,1906,4738,4138,2128,2053,3853,5022,5221,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,4495,1880,4462,4966,4831,5748,4833,5344,4976,2162,5463,1829,4963,5888,3431,4583,5124,2103,4835,5570,1826,1939,4553,5191,5486,5598,4468,5352,5374,5403,5565,4256,2165,3595,5098,2946,4816,4572,2082,4338,2413,2006,4342,4493,4921,2300,2346,2356,2392,2394,2396,2400,5244,5096,4747,3774,2228,4280,5246,4078,2439,5007,3439,4503,4484,4394,3640,5281,5217,5321,4532,3355,4369,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3885,2473,2836,1990,2648,3415,3339,2451,2431,2699,3243,2338,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293])).
% 55.21/55.76 cnf(5976,plain,
% 55.21/55.76 (P9(a1,x59761,x59761)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(5986,plain,
% 55.21/55.76 (~P10(a69,f12(a69,x59861,x59862),x59862)),
% 55.21/55.76 inference(rename_variables,[],[600])).
% 55.21/55.76 cnf(5990,plain,
% 55.21/55.76 (P10(a69,f9(a69,f12(a69,a78,f4(a69)),f4(a69)),f9(a69,f5(a2,a73),f4(a69)))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,605,571,577,518,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,497,5837,600,5676,5742,440,5807,498,499,603,5494,5518,5579,5777,515,5491,527,5868,5871,373,394,247,254,293,418,463,5364,457,580,602,252,375,393,210,378,264,407,260,385,302,404,253,259,292,306,400,372,338,392,383,258,587,345,212,403,208,370,307,382,371,222,209,320,599,5656,5840,207,291,250,257,314,344,504,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,5731,3863,4566,4489,4787,4156,3337,1975,4742,5013,5026,4267,5112,4581,3746,4562,5092,4259,4724,3744,1906,4738,4138,2128,2053,3853,5022,5221,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,4495,1880,4462,4966,4831,5748,4833,5344,4976,2162,5463,1829,4963,5888,3431,4583,5124,2976,2103,4835,5570,5307,1826,1939,4553,5191,5486,5598,4468,5352,5374,5403,5565,4256,2165,3595,5098,2946,4816,4572,2082,4338,2413,2006,4342,4493,4921,2300,2346,2356,2392,2394,2396,2400,5244,5096,4747,3774,2228,4280,5246,4078,2439,5007,3439,4503,4484,4394,3640,5281,5217,5321,4532,3355,4369,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3885,2473,2836,1990,2648,3415,3339,2451,2431,2699,3243,2338,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293,1610,1027,767,932,1171,1541])).
% 55.21/55.76 cnf(5991,plain,
% 55.21/55.76 (P9(a69,x59911,f12(a69,x59912,x59911))),
% 55.21/55.76 inference(rename_variables,[],[495])).
% 55.21/55.76 cnf(5993,plain,
% 55.21/55.76 (~P10(a69,x59931,f12(a69,f3(a69),f9(a69,x59931,x59932)))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,605,571,577,518,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,497,5837,600,5676,5742,440,5807,498,499,603,5494,5518,5579,5777,515,5491,527,5868,5871,373,394,247,254,293,418,463,5364,457,580,602,252,375,393,210,378,264,407,260,385,302,404,253,259,292,306,400,372,338,392,383,258,587,345,212,403,208,370,307,382,371,222,209,320,599,5656,5840,207,291,250,257,314,344,504,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,5731,3863,4566,4489,4787,4156,3337,1975,4742,5013,5026,4267,5112,4581,3746,4562,5092,4259,4724,3744,1906,4738,4138,2128,2053,3853,5022,5221,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,4495,1880,4462,4966,4831,5748,4833,5344,4976,2162,5463,1829,4963,5888,3431,4583,5124,2976,2103,4835,5570,5307,1826,1939,4553,5542,5191,5486,5598,4468,5352,5374,5403,5565,4256,2165,3595,5098,2946,4816,4572,2082,4338,2413,2006,4342,4493,4921,2300,2346,2356,2392,2394,2396,2400,5244,5096,4747,3774,2228,4280,5246,4078,2439,5007,3439,4503,4484,4394,3640,5281,5217,5321,4532,3355,4369,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3885,2473,2836,1990,2648,3415,3339,2451,2431,2699,3243,2338,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293,1610,1027,767,932,1171,1541,1259])).
% 55.21/55.76 cnf(5994,plain,
% 55.21/55.76 (~P10(a69,x59941,f12(a69,f3(a69),x59941))),
% 55.21/55.76 inference(rename_variables,[],[4553])).
% 55.21/55.76 cnf(5999,plain,
% 55.21/55.76 (E(f10(x59991,f54(f54(f11(a1),f54(f54(f21(a1),a81),a78)),f54(f54(f11(a1),a81),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))))),f10(x59991,f28(a2,f54(f54(f11(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f54(f54(f11(a2),f29(a2,a81)),a83))),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,605,571,577,518,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,497,5837,600,5676,5742,440,5807,498,499,603,5494,5518,5579,5777,515,5491,527,5868,5871,373,394,247,254,293,418,463,5364,457,580,602,252,375,393,210,378,264,407,260,385,302,404,253,259,292,306,400,372,338,392,383,258,587,345,212,403,208,370,307,382,371,222,209,320,599,5656,5840,207,291,250,257,314,344,504,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,5731,3863,4566,4489,4787,4156,3337,1975,4742,5013,5026,4267,5112,4581,3746,4562,5092,4259,4724,3744,1906,4738,4138,2128,2053,3853,5022,5221,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,4495,1880,4462,4966,4831,5748,4833,5344,4976,2162,5463,1829,4963,5888,3431,4583,5124,2976,2103,4835,5570,5307,1826,1939,4553,5542,5191,5486,5598,4468,5352,5374,5403,5565,4256,2165,3595,5098,2946,4816,4572,2082,4338,2413,2006,4342,4493,4921,2300,2346,2356,2392,2394,2396,2400,5244,5096,4747,3774,2228,4280,5246,4078,2439,5007,3439,4503,4484,4394,3640,5281,5217,5321,4532,3355,4369,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3885,2473,2836,1990,2648,3415,3339,2451,2431,2699,3243,2338,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293,1610,1027,767,932,1171,1541,1259,873,40,28])).
% 55.21/55.76 cnf(6002,plain,
% 55.21/55.76 (E(f9(a69,f12(a69,x60021,x60022),x60021),x60022)),
% 55.21/55.76 inference(rename_variables,[],[499])).
% 55.21/55.76 cnf(6014,plain,
% 55.21/55.76 (E(x60141,f10(a2,f54(f54(f11(a70),f4(a70)),f10(a2,x60141))))),
% 55.21/55.76 inference(rename_variables,[],[4742])).
% 55.21/55.76 cnf(6017,plain,
% 55.21/55.76 (P10(a69,f3(a69),f5(a2,a73))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,605,571,577,518,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,497,5837,600,5676,5742,440,5807,498,499,5593,6002,603,5494,5518,5579,5777,515,5491,527,5868,5871,373,394,247,254,293,418,463,5364,593,457,580,602,252,375,393,210,378,264,407,510,260,385,302,404,253,259,292,306,400,372,338,392,383,258,587,345,212,403,208,370,307,382,371,222,209,320,599,5656,5840,207,291,250,257,314,344,504,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,5731,3863,4566,4489,2834,4787,4156,3337,1975,4742,5013,5026,4267,5112,4581,3746,4562,5092,4259,4724,3744,1906,4738,4138,2128,2053,3853,5022,5221,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,4495,1880,4462,4966,4831,5748,4833,5344,4976,2162,5463,1829,4963,5888,3431,4583,5124,2976,2103,4835,5570,5307,1826,1939,4553,5542,5191,5486,5598,4468,5352,5374,5403,5565,4256,2165,3595,5098,2946,4816,4572,2082,4338,2413,2006,4342,4493,4921,2300,2346,2356,2392,2394,2396,2400,5244,5096,4747,3774,2228,4280,5246,4078,4355,2439,5007,3439,4503,4484,4394,3640,5281,5217,5321,4532,3355,4369,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3885,2473,2836,1990,2648,3415,3339,2451,2431,2699,3243,2338,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293,1610,1027,767,932,1171,1541,1259,873,40,28,7,1246,913,819,1392,151,118,801,1465])).
% 55.21/55.76 cnf(6020,plain,
% 55.21/55.76 (P13(a1,x60201,f54(f54(f11(a1),x60202),f10(a1,f54(f54(f11(a1),x60203),f10(a1,x60201)))))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,605,571,577,518,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,497,5837,600,5676,5742,440,5807,498,499,5593,6002,603,5494,5518,5579,5777,515,5491,527,5868,5871,373,394,247,254,293,418,463,5364,593,457,580,602,252,375,393,210,378,264,407,510,260,385,302,404,253,259,292,306,400,341,372,338,392,383,258,587,345,212,403,208,370,307,382,371,222,209,320,599,5656,5840,207,291,250,257,314,344,504,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,5731,3863,4566,4489,2834,4787,4156,3337,1975,4742,5013,5026,4267,5112,4581,3746,4562,5092,4259,4724,3744,1906,4738,4138,2128,2053,3853,5022,5221,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,5203,4495,1880,4462,4966,4831,5748,4833,5344,4976,2162,5463,1829,4963,5888,3431,4583,5124,2976,2103,4835,5570,5307,1826,1939,4553,5542,5191,5486,5598,4468,5352,5374,5403,5565,4256,2165,3595,5098,2946,4816,4572,2082,4338,2413,2006,4342,4493,4921,2300,2346,2356,2392,2394,2396,2400,5244,5096,4747,3774,2228,4280,5246,4078,4355,2439,5007,3439,4503,4484,4394,3640,5281,5217,5321,4532,3355,4369,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3885,2473,2836,1990,2648,3415,3339,2451,2431,2699,3243,2338,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293,1610,1027,767,932,1171,1541,1259,873,40,28,7,1246,913,819,1392,151,118,801,1465,1134])).
% 55.21/55.76 cnf(6024,plain,
% 55.21/55.76 (~E(f12(a70,x60241,f12(a70,f12(a70,f4(a70),f4(a70)),f4(a70))),x60241)),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,605,571,577,518,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,497,5837,600,5676,5742,440,5807,498,499,5593,6002,603,5494,5518,5579,5777,515,5491,527,5868,5871,373,394,247,254,293,418,463,5364,593,457,580,602,252,375,393,210,378,264,407,510,260,385,302,404,253,259,292,306,400,341,372,338,392,383,258,587,345,212,403,208,370,307,382,371,222,209,320,599,5656,5840,207,291,250,257,314,344,504,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,5731,3863,4566,4489,2834,4787,4156,3337,1975,4742,5013,5026,4267,5112,4581,3746,4562,5092,4259,4724,3744,1906,4738,4138,2128,2053,3853,5022,5221,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,5203,4495,1880,4462,4966,4831,5748,4833,5344,4976,2162,5463,1829,4963,5888,3431,4583,5124,2976,2103,4835,5570,5307,1826,1939,4553,5542,5191,5486,5598,4468,5352,5374,5403,5565,4256,2165,3595,5098,2946,4816,4572,2082,4338,2413,2006,4342,4493,4921,2300,2346,2356,2392,2394,2396,2400,5244,5096,4747,3774,2228,4280,5246,4078,4355,2439,5007,3439,4503,4484,4394,3640,5281,5217,5321,4532,3355,4369,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3885,2473,2836,1990,2648,3415,3339,2451,2431,2699,3243,2338,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293,1610,1027,767,932,1171,1541,1259,873,40,28,7,1246,913,819,1392,151,118,801,1465,1134,1159,912])).
% 55.21/55.76 cnf(6026,plain,
% 55.21/55.76 (P10(a70,x60261,f12(a70,x60262,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x60262,f10(a70,f10(a70,x60261)))),f4(a70))),f4(a70))))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,605,571,577,518,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,497,5837,600,5676,5742,440,5807,498,499,5593,6002,603,5494,5518,5579,5777,515,5491,527,5868,5871,373,394,247,254,293,418,463,5364,593,457,580,602,252,375,393,210,378,264,407,510,260,385,302,404,253,259,292,306,400,341,372,338,392,383,258,587,345,212,403,208,370,307,382,371,222,209,320,599,5656,5840,207,291,250,257,314,344,504,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,5731,3863,4566,4489,2834,4787,4156,3337,1975,4742,5013,5026,4267,5112,4581,3746,4562,5092,4259,4724,3744,1906,4738,4138,2128,2053,3853,5022,5221,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,5203,4495,1880,4462,4966,4831,5748,4833,5344,4976,2162,5463,1829,4963,5888,3431,4583,5124,2976,2103,4835,5570,5307,1826,1939,4553,5542,5191,5486,5598,4468,5352,5374,5403,5565,4256,4588,2165,3595,5098,2946,4816,4572,2082,4338,2413,2006,4342,4493,4921,2300,2346,2356,2392,2394,2396,2400,5244,5096,4747,3774,2228,4280,5246,4078,4355,2439,5007,3439,4503,4484,4394,3640,5281,5217,5321,4532,3355,4369,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3885,2473,2836,1990,2648,3415,3339,2451,2431,2699,3243,2338,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293,1610,1027,767,932,1171,1541,1259,873,40,28,7,1246,913,819,1392,151,118,801,1465,1134,1159,912,1224])).
% 55.21/55.76 cnf(6029,plain,
% 55.21/55.76 (~P9(a1,f10(a1,f3(a1)),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78)))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,605,571,577,518,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,497,5837,600,5676,5742,440,5807,498,499,5593,6002,603,5494,5518,5579,5777,515,5491,527,5868,5871,373,394,247,254,293,418,463,5364,593,457,580,602,252,375,393,210,378,264,407,510,260,385,302,404,253,259,292,306,400,341,372,338,392,383,258,587,345,212,403,208,370,307,382,371,222,209,320,599,5656,5840,207,291,250,257,314,344,504,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,5731,3863,4566,4489,2834,4787,4156,3337,1975,4742,5013,5026,4267,5112,4581,3746,4562,5092,4259,4724,3744,1906,4738,4138,2128,2053,3853,5022,5221,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,5203,4495,1880,4462,4966,4831,5748,4833,5344,4976,2162,5463,1829,4963,5888,3431,4583,5124,2976,2103,4835,5570,5307,1826,1939,4553,5542,5191,5486,5598,4468,5352,5374,5403,5565,4256,4588,2165,3595,5098,2946,4816,4572,2082,4338,2413,2006,4342,4493,4921,2300,2346,2356,2392,2394,2396,2400,5244,5096,4747,3774,2228,4754,4280,5246,4078,4355,2439,5007,3439,4503,4484,4394,3640,5281,5217,5321,4532,3355,4369,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3885,2473,2836,1990,2648,3415,3339,2451,2431,2699,3243,2338,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293,1610,1027,767,932,1171,1541,1259,873,40,28,7,1246,913,819,1392,151,118,801,1465,1134,1159,912,1224,1202])).
% 55.21/55.76 cnf(6035,plain,
% 55.21/55.76 (P9(a69,f3(a69),x60351)),
% 55.21/55.76 inference(rename_variables,[],[463])).
% 55.21/55.76 cnf(6037,plain,
% 55.21/55.76 (~E(f10(a2,a6),f3(a2))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,605,571,577,518,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,497,5837,600,5676,5742,440,5807,498,499,5593,6002,603,5494,5518,5579,5777,515,5491,527,5868,5871,373,394,247,254,293,418,463,5364,5385,593,457,580,602,252,375,393,210,378,264,407,510,260,385,302,404,253,259,292,306,400,341,372,338,392,383,258,587,345,212,403,208,370,307,382,371,222,209,320,599,5656,5840,207,291,250,257,314,344,504,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,5731,3863,4566,4489,2834,4787,4361,4156,3337,1975,4742,5013,5026,4267,5112,4581,3746,4562,5092,4259,4724,3744,1906,4738,4138,2128,2053,3853,5022,5221,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,5203,4495,1880,4974,4462,4966,4831,5748,4833,5344,4976,2162,5463,1829,4963,5888,3431,4583,5124,2976,2103,4835,5570,5307,1826,1939,4553,5542,5191,5486,5598,4468,5352,5374,5403,5565,4256,4588,2165,3595,5098,2946,4816,4572,2082,4338,2413,2006,4342,4493,4921,2300,2346,2356,2392,2394,2396,2400,5244,5096,4747,3774,2228,4754,4280,5246,4078,4355,2439,5007,3439,4503,4484,4394,3640,5281,5217,5321,4532,3355,4369,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3885,2473,2836,1990,2648,3415,3339,2451,2431,2699,3243,2338,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293,1610,1027,767,932,1171,1541,1259,873,40,28,7,1246,913,819,1392,151,118,801,1465,1134,1159,912,1224,1202,1612,1216,717])).
% 55.21/55.76 cnf(6040,plain,
% 55.21/55.76 (P9(a69,x60401,f12(a69,x60402,x60401))),
% 55.21/55.76 inference(rename_variables,[],[495])).
% 55.21/55.76 cnf(6056,plain,
% 55.21/55.76 (~P10(a1,f12(a1,f8(a1,x60561),f4(a1)),x60561)),
% 55.21/55.76 inference(rename_variables,[],[603])).
% 55.21/55.76 cnf(6063,plain,
% 55.21/55.76 (P10(a1,x60631,f12(a1,f27(a69,f25(x60631)),f4(a1)))),
% 55.21/55.76 inference(rename_variables,[],[515])).
% 55.21/55.76 cnf(6066,plain,
% 55.21/55.76 (P9(a1,x60661,x60661)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(6070,plain,
% 55.21/55.76 (~P10(a1,f9(a1,f4(a1),f8(a1,f9(a1,f3(a1),f4(a1)))),f3(a1))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,605,571,577,518,5479,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,5976,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,5991,6040,497,5837,600,5676,5742,440,5807,498,499,5593,6002,603,5494,5518,5579,5777,6056,515,5491,5846,6063,527,5868,5871,373,394,247,254,293,418,463,5364,5385,593,457,580,602,252,375,393,210,378,264,407,510,260,385,302,404,253,259,292,306,400,341,372,338,392,383,258,587,345,212,403,208,370,307,382,371,222,209,320,599,5656,5840,207,291,250,257,314,344,504,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,3357,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,5731,3863,4566,4489,2834,4787,4361,4156,3337,1975,4742,5013,5026,4631,4267,5112,4581,3746,4562,5092,4259,4724,3744,1906,4738,4138,2128,2053,4331,3853,5022,5221,4828,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,5203,4495,1880,4974,4462,4966,4831,5748,4833,5344,4976,2162,5463,1829,4963,5888,3431,4583,5124,2976,2103,4835,5570,5307,1826,1939,4553,5542,5191,5486,5598,4468,5352,5374,5403,5565,4256,4588,2165,3595,5098,2946,4816,4572,2082,4338,2413,2006,4342,4493,4921,2300,2346,2356,2392,2394,2396,2400,5244,5096,4747,3774,4277,2228,4754,4280,5246,4078,4355,2439,5007,3439,4503,4484,4394,3640,5281,5217,5321,4532,3355,4369,2240,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3885,2473,2836,1813,1990,2648,3415,3339,2451,2431,2699,3243,2338,2332,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293,1610,1027,767,932,1171,1541,1259,873,40,28,7,1246,913,819,1392,151,118,801,1465,1134,1159,912,1224,1202,1612,1216,717,1785,1765,1764,1755,1763,1754,1233,1033,1415,1353,1680,1712,1732])).
% 55.21/55.76 cnf(6075,plain,
% 55.21/55.76 (P9(a1,f3(a1),f27(a69,x60751))),
% 55.21/55.76 inference(rename_variables,[],[479])).
% 55.21/55.76 cnf(6081,plain,
% 55.21/55.76 (~E(f3(a1),a34)),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,605,571,577,518,5479,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,237,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,5976,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,5991,6040,497,5837,600,5676,5742,440,5807,498,499,5593,6002,603,5494,5518,5579,5777,6056,515,5491,5846,6063,527,5868,5871,373,394,247,254,293,418,463,5364,5385,593,457,580,602,252,375,393,210,378,264,407,510,260,385,302,479,404,253,259,292,306,400,341,372,338,392,383,258,587,345,212,403,208,370,307,382,371,222,209,320,599,5656,5840,207,291,250,257,314,344,504,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,3357,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,5731,3863,4566,4489,2834,4466,4787,4361,4156,3337,1975,4742,5013,5026,4631,4267,5112,4581,3746,4562,5092,4259,4724,3744,1906,4738,4138,2128,2053,4331,3853,5022,5221,4828,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,5203,4495,1880,4974,4462,4966,4831,5748,4833,5344,4976,2162,5463,1829,4963,5888,3431,4583,5124,2976,2103,4835,5570,5307,1826,1939,4553,5542,5191,5486,5598,4468,5352,5374,5403,5565,4256,4588,2165,3595,5098,2946,4816,4572,2082,4338,2413,2006,4342,4493,4921,2300,2346,2356,2392,2394,2396,2400,5244,5096,4747,3774,4277,2228,4754,4280,5246,4078,4355,2439,5007,3439,4503,4484,4394,3640,5281,2418,5217,5321,4532,3355,4369,2240,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3885,2473,2836,1813,1990,2648,3415,3339,2451,2431,2699,3243,2338,2332,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293,1610,1027,767,932,1171,1541,1259,873,40,28,7,1246,913,819,1392,151,118,801,1465,1134,1159,912,1224,1202,1612,1216,717,1785,1765,1764,1755,1763,1754,1233,1033,1415,1353,1680,1712,1732,1749,1584,902,992,846])).
% 55.21/55.76 cnf(6094,plain,
% 55.21/55.76 (P9(a1,f54(f54(f11(a1),f54(f54(f21(a1),a81),a78)),f54(f54(f11(a1),a81),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))))),f28(a2,f54(f54(f11(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f54(f54(f11(a2),f29(a2,a81)),a83))),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,605,571,577,518,5479,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,237,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,5976,6066,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,5991,6040,497,5837,600,5676,5742,440,5807,498,499,5593,6002,603,5494,5518,5579,5777,6056,515,5491,5846,6063,527,5868,5871,373,394,247,254,293,418,463,5364,5385,593,457,580,602,252,375,393,210,378,264,407,510,260,385,302,479,404,253,259,292,306,400,341,372,338,392,383,258,587,345,212,403,208,370,307,382,371,222,209,320,599,5656,5840,207,291,250,257,314,344,504,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4113,3357,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,5731,3863,4566,4489,2834,4466,4787,4361,4156,3337,1975,4742,5013,5026,4631,4267,5112,4581,3746,4562,5092,4259,4724,3744,1906,4738,4138,2128,2053,4331,3853,5022,5221,4828,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,5203,4495,1880,4974,4462,4966,4831,5748,4833,5344,4976,2162,5463,4548,1829,4963,5888,3431,4583,5124,2976,2103,4835,5570,5307,1826,1939,4553,5542,5191,5486,5598,4468,5352,5374,5403,5565,4256,4588,2165,3595,5098,2946,4816,4572,2082,4338,2413,2006,4342,4493,4921,2300,2346,2356,2392,2394,2396,2400,5244,5096,4747,3774,4277,2228,4754,4280,5246,4078,4355,2439,5007,3439,4503,4484,4394,3640,5281,2418,5217,5321,4532,3355,4369,2240,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3885,2473,2836,1813,1990,2648,3415,3339,2451,2431,2699,3243,2338,2332,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293,1610,1027,767,932,1171,1541,1259,873,40,28,7,1246,913,819,1392,151,118,801,1465,1134,1159,912,1224,1202,1612,1216,717,1785,1765,1764,1755,1763,1754,1233,1033,1415,1353,1680,1712,1732,1749,1584,902,992,846,741,1252,889,1360,978,120])).
% 55.21/55.76 cnf(6095,plain,
% 55.21/55.76 (P9(a1,x60951,x60951)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(6096,plain,
% 55.21/55.76 (~P10(a1,f3(a1),f27(a69,f12(a69,f3(a69),f25(f3(a1)))))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,605,571,577,518,5479,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,237,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,5976,6066,6095,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,5991,6040,497,5837,600,5676,5742,440,5807,498,499,5593,6002,603,5494,5518,5579,5777,6056,515,5491,5846,6063,527,5868,5871,373,394,247,254,293,418,463,5364,5385,593,457,580,602,252,375,393,210,378,264,407,510,260,385,302,479,404,253,259,292,306,400,341,372,338,392,383,258,587,345,212,403,208,370,307,382,371,222,209,320,599,5656,5840,207,291,250,257,314,344,504,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4113,3357,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,5731,3863,4566,4489,2834,4466,4787,4361,4156,3337,1975,4742,5013,5026,4631,4267,5112,4581,3746,4562,5092,4259,4724,3744,1906,4738,4138,2128,2053,4331,3853,5022,5221,4828,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,5203,4495,1880,4974,4462,4966,4831,5748,4833,5344,4976,2162,5463,4548,1829,4963,5888,3431,4583,5124,2976,2103,4835,5570,5307,1826,1939,4553,5542,5994,5191,5486,5598,4468,5352,5374,5403,5565,4256,4588,2165,3595,5098,2946,4816,4572,2082,4338,2413,2006,4342,4493,4921,2300,2346,2356,2392,2394,2396,2400,5244,5096,4747,3774,4277,2228,4754,4280,5246,4078,4355,2439,5007,3439,4503,4484,4394,3640,5281,2418,5217,5321,4532,3355,4369,2240,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3885,2473,2836,1813,1990,2648,3415,3339,2451,2431,2699,3243,2338,2332,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293,1610,1027,767,932,1171,1541,1259,873,40,28,7,1246,913,819,1392,151,118,801,1465,1134,1159,912,1224,1202,1612,1216,717,1785,1765,1764,1755,1763,1754,1233,1033,1415,1353,1680,1712,1732,1749,1584,902,992,846,741,1252,889,1360,978,120,1308])).
% 55.21/55.76 cnf(6098,plain,
% 55.21/55.76 (P9(a1,x60981,x60981)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(6100,plain,
% 55.21/55.76 (~P9(a70,x61001,f12(a70,f12(a70,f54(f54(f11(a70),f9(a70,f3(a70),f4(a70))),f4(a70)),x61001),f3(a70)))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,605,571,577,518,5479,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,237,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,5976,6066,6095,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,5991,6040,497,5837,600,5676,5742,440,5807,498,499,5593,6002,603,5494,5518,5579,5777,6056,515,5491,5846,6063,527,5868,5871,373,394,247,254,293,418,463,5364,5385,593,457,580,602,252,375,393,210,378,264,407,510,260,385,302,479,404,253,259,292,306,400,341,372,338,392,383,258,587,345,212,403,208,370,307,382,371,222,209,320,599,5656,5840,207,291,250,257,314,344,504,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4113,3357,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,5731,3863,4566,4489,2834,4466,4787,4361,4156,3337,1975,4742,5013,5026,4631,4267,5112,4581,3746,4562,5092,4259,4724,3744,1906,4738,4138,2128,2053,4331,3853,5022,5221,4828,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,5203,4495,1880,4974,4462,4966,4831,5748,4833,5344,4976,2162,5463,4548,1829,4963,5888,3431,4583,5124,2976,2103,4835,5570,5307,1826,1939,4553,5542,5994,5191,5486,5598,4468,5352,5374,5403,5565,4256,4588,2165,3595,5098,2946,4816,4572,2082,4338,2413,2006,4342,4493,4921,2300,2346,2356,2392,2394,2396,2400,5244,5096,4747,3774,4277,2228,4754,4280,5246,4078,4355,2439,5007,3439,4503,4484,4394,3640,5281,2418,5217,5321,4532,3355,4369,2240,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3885,2473,2836,1813,1990,2648,3415,3339,2451,2431,2699,3243,2338,2332,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293,1610,1027,767,932,1171,1541,1259,873,40,28,7,1246,913,819,1392,151,118,801,1465,1134,1159,912,1224,1202,1612,1216,717,1785,1765,1764,1755,1763,1754,1233,1033,1415,1353,1680,1712,1732,1749,1584,902,992,846,741,1252,889,1360,978,120,1308,1542])).
% 55.21/55.76 cnf(6105,plain,
% 55.21/55.76 (E(x61051,f10(a2,f54(f54(f11(a70),f4(a70)),f10(a2,x61051))))),
% 55.21/55.76 inference(rename_variables,[],[4742])).
% 55.21/55.76 cnf(6107,plain,
% 55.21/55.76 (P10(a70,x61071,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x61071,f10(a70,f3(a70)))),f4(a70))),f4(a70)))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,582,605,571,577,518,5479,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,237,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,5976,6066,6095,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,5991,6040,497,5837,600,5676,5742,440,5807,498,499,5593,6002,603,5494,5518,5579,5777,6056,515,5491,5846,6063,527,5868,5871,373,394,247,254,293,418,463,5364,5385,593,457,580,602,252,375,393,210,378,264,407,510,260,385,302,479,404,253,259,292,306,400,341,372,338,392,383,258,587,345,212,403,208,370,307,382,371,222,209,320,599,5656,5840,207,291,250,257,314,344,504,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4113,3357,4530,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,4751,5640,5731,3863,4566,4489,2834,4466,4787,4361,4156,3337,1975,4742,6014,5013,5026,4631,4267,5112,4581,3746,4562,5092,4259,4724,3744,1906,4738,4138,2128,2053,4331,3853,5022,5221,4828,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,5203,4495,1880,4974,4462,4966,4831,5748,4833,5344,4976,2162,5463,4548,1829,4963,5888,3431,4583,5124,2976,2103,4835,5570,5307,1826,1939,4553,5542,5994,5191,5486,5598,4468,5352,5374,5403,5565,4256,4588,2165,3595,5098,2946,4816,4572,2082,4338,2413,2006,4342,4493,4921,2300,2346,2356,2392,2394,2396,2400,5244,5096,4747,3774,4277,2228,4754,4280,5246,4078,4355,2439,5007,3439,4503,4484,4394,3640,5281,2418,4759,5217,5321,4532,3355,4369,2240,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3885,2473,2836,1813,1990,2648,3415,3339,2451,2431,2699,3243,2338,2332,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293,1610,1027,767,932,1171,1541,1259,873,40,28,7,1246,913,819,1392,151,118,801,1465,1134,1159,912,1224,1202,1612,1216,717,1785,1765,1764,1755,1763,1754,1233,1033,1415,1353,1680,1712,1732,1749,1584,902,992,846,741,1252,889,1360,978,120,1308,1542,916,730,1384])).
% 55.21/55.76 cnf(6125,plain,
% 55.21/55.76 (~P10(a1,f12(a1,f9(a1,f12(a1,f8(a1,f3(a1)),f4(a1)),f3(a1)),x61251),x61251)),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,582,605,571,577,518,5479,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,237,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,5976,6066,6095,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,5991,6040,497,5837,600,5676,5742,440,5807,498,499,5593,6002,603,5494,5518,5579,5777,6056,515,5491,5846,6063,527,5868,5871,373,394,247,254,293,418,463,5364,5385,593,457,580,602,252,375,393,210,378,264,407,510,260,385,265,302,479,404,253,259,292,306,400,341,372,263,338,392,383,258,587,345,212,403,208,370,307,382,371,222,209,320,599,5656,5840,207,291,250,257,314,344,504,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4113,3357,4530,3696,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,5506,4751,5640,5731,3863,4566,4489,2834,4466,4787,4361,4156,3337,1975,4742,6014,5013,5026,4631,4267,5112,4581,3746,4562,5092,4259,4724,3744,1906,4738,4138,2128,2053,4331,3853,5022,5221,4828,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,5203,4495,1880,4974,4462,4966,4831,5748,4833,5344,4976,5798,2162,5463,4548,1829,4963,5888,3431,4583,5124,2976,2103,4835,5570,5307,1826,1939,4553,5542,5994,5191,5486,5598,4468,5352,5374,5403,5565,4256,4588,2165,3595,5098,2946,4816,4572,2082,4338,2413,2006,4342,4493,4921,2300,2346,2356,2392,2394,2396,2400,4575,5134,5244,5096,4747,3774,4277,2228,4754,4280,5246,4078,4355,2439,5007,3439,4503,4484,4394,3640,5281,2418,4759,5217,5321,4532,3355,4369,2240,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3885,2473,2836,1813,1990,2648,3415,3339,2451,2431,2699,3243,2338,2332,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293,1610,1027,767,932,1171,1541,1259,873,40,28,7,1246,913,819,1392,151,118,801,1465,1134,1159,912,1224,1202,1612,1216,717,1785,1765,1764,1755,1763,1754,1233,1033,1415,1353,1680,1712,1732,1749,1584,902,992,846,741,1252,889,1360,978,120,1308,1542,916,730,1384,1185,1172,787,1708,1786,966,1593,755,1375])).
% 55.21/55.76 cnf(6126,plain,
% 55.21/55.76 (~P10(a1,f12(a1,f8(a1,x61261),f4(a1)),x61261)),
% 55.21/55.76 inference(rename_variables,[],[603])).
% 55.21/55.76 cnf(6137,plain,
% 55.21/55.76 (~E(f12(a69,x61371,f5(a1,f12(a1,f3(f72(a1)),f4(a1)))),x61371)),
% 55.21/55.76 inference(rename_variables,[],[3879])).
% 55.21/55.76 cnf(6139,plain,
% 55.21/55.76 (P10(a69,f54(f54(f11(a69),f12(a69,a78,f4(a69))),f12(a69,a78,f4(a69))),f54(f54(f11(a69),f5(a2,a73)),f5(a2,a73)))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,360,363,368,398,410,415,421,425,581,582,605,571,577,518,5479,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,237,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,5976,6066,6095,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,5991,6040,497,5837,600,5676,5742,440,5807,498,499,5593,6002,603,5494,5518,5579,5777,6056,515,5491,5846,6063,527,5868,5871,373,394,247,254,293,418,463,5364,5385,6035,593,496,457,580,602,252,375,393,210,378,264,407,510,260,385,265,302,479,404,253,259,292,306,384,400,341,372,263,338,392,383,258,587,345,212,403,208,370,307,382,371,222,209,320,599,5656,5840,207,291,250,257,314,344,504,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4113,3357,4530,3696,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,5506,4751,5640,5731,3863,4566,4489,2834,4466,4787,4361,4156,3337,1975,4742,6014,5013,5026,4631,4267,5112,4581,3746,4562,5092,4259,4724,3744,1906,4738,4138,2128,2053,4331,3853,5022,5221,4828,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,5203,4495,1880,4974,4462,4966,4831,5748,4833,5344,4976,5798,2162,5463,4548,1829,4963,5888,3431,4583,5124,2976,2103,4835,5570,5307,1826,1939,4553,5542,5994,5191,5486,5598,4468,5352,5374,5403,5565,4256,4588,2165,3595,5098,2946,4816,4572,2082,4338,2413,2006,4342,4493,4921,2300,2346,2356,2392,2394,2396,2400,4575,5134,5244,5096,4747,3774,4277,2228,4754,4280,5246,4078,4355,2439,5007,3439,4503,4484,4394,3640,5281,2418,4759,5217,5321,4532,3355,4369,2240,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3879,3885,2473,2836,1813,1990,2648,3415,3339,2451,2431,2699,3243,2338,2332,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293,1610,1027,767,932,1171,1541,1259,873,40,28,7,1246,913,819,1392,151,118,801,1465,1134,1159,912,1224,1202,1612,1216,717,1785,1765,1764,1755,1763,1754,1233,1033,1415,1353,1680,1712,1732,1749,1584,902,992,846,741,1252,889,1360,978,120,1308,1542,916,730,1384,1185,1172,787,1708,1786,966,1593,755,1375,1650,1550,1664,1346,1701])).
% 55.21/55.76 cnf(6151,plain,
% 55.21/55.76 (E(x61511,f12(a70,f12(a69,f54(f54(f11(a69),f9(a69,f12(a69,a78,f4(a69)),f12(a69,a78,f4(a69)))),x61512),x61511),f3(a70)))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,357,360,363,368,398,410,415,421,425,581,582,605,571,577,518,5479,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,237,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,5976,6066,6095,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,5991,6040,497,5837,600,5676,5742,5986,440,5807,498,499,5593,6002,603,5494,5518,5579,5777,6056,515,5491,5846,6063,527,5868,5871,373,394,247,254,293,352,418,463,5364,5385,6035,593,496,457,580,602,252,375,393,210,378,264,407,510,260,385,265,302,479,404,253,259,292,306,384,400,341,372,263,338,392,383,258,587,345,212,403,208,370,307,382,371,222,209,320,599,5656,5840,207,291,250,257,314,344,504,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4113,3357,4530,3696,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,5506,4751,5640,5731,3863,4566,4489,2834,4466,4787,4361,4156,3337,1975,4742,6014,5013,5026,4631,4267,5112,4581,3746,4562,5092,4259,4724,3744,3617,1906,3601,4738,4138,2128,2053,4331,3853,5022,5221,4828,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,5203,4495,1880,4974,4462,4966,4831,5748,4833,5344,4976,5798,2162,5463,4548,1829,4963,5888,3431,4583,5124,2976,2103,2112,4835,5570,5307,1826,1939,4553,5542,5994,5191,5486,5598,4468,5352,5374,5403,5565,4256,4588,2165,3595,5098,2946,4816,4572,2082,4338,2413,2006,4342,4493,4921,2300,2346,2356,2392,2394,2396,2400,4575,5134,5244,5096,4747,3774,4277,2228,4754,4280,5246,4078,4355,2439,5007,3439,4503,4484,4394,3640,5281,2418,4759,5217,5321,4532,3355,4369,2240,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3879,3885,2473,2836,1813,1990,2648,3415,3339,2451,2431,2699,3243,2338,2332,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293,1610,1027,767,932,1171,1541,1259,873,40,28,7,1246,913,819,1392,151,118,801,1465,1134,1159,912,1224,1202,1612,1216,717,1785,1765,1764,1755,1763,1754,1233,1033,1415,1353,1680,1712,1732,1749,1584,902,992,846,741,1252,889,1360,978,120,1308,1542,916,730,1384,1185,1172,787,1708,1786,966,1593,755,1375,1650,1550,1664,1346,1701,1598,1597,1161,1103,1102])).
% 55.21/55.76 cnf(6174,plain,
% 55.21/55.76 (~P10(a69,f12(a69,x61741,f12(a69,x61742,f12(a69,f54(f54(f11(a69),f9(a69,f12(a69,a78,f4(a69)),f12(a69,a78,f4(a69)))),x61743),x61744))),x61744)),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,357,360,363,368,398,410,415,421,425,581,582,605,571,577,518,5479,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,237,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,5976,6066,6095,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,5991,6040,497,5837,600,5676,5742,5986,440,5807,498,499,5593,6002,603,5494,5518,5579,5777,6056,515,5491,5846,6063,527,5868,5871,373,394,247,254,293,352,418,463,5364,5385,6035,593,496,457,580,602,252,375,393,210,378,264,407,510,260,385,265,302,479,404,253,259,292,306,384,400,478,341,372,263,338,392,383,258,587,345,212,403,208,370,307,382,371,222,453,209,320,599,5656,5840,207,291,250,257,314,344,504,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4113,3357,4530,3696,4008,4559,2210,3325,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,5506,4751,5640,5731,3863,4566,4489,2834,4466,4787,4361,4156,3337,1975,4742,6014,5013,5026,4631,4095,4267,5112,4581,3746,3533,4562,5092,4259,4724,3744,3617,1906,3601,4738,4138,4284,2128,2053,4331,4618,3853,5022,5221,4828,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,5203,4495,2188,1880,4974,4462,4966,4831,5748,4833,5344,4976,5798,2162,5463,4548,1829,4963,5888,3431,4583,5124,2976,2103,2112,4835,5570,5307,1826,1939,4553,5542,5994,5191,5486,5598,4468,5352,5374,5403,5565,4256,4588,2165,3595,5068,5098,3597,2946,4816,4572,2082,4338,2413,2006,4342,4493,4921,2300,2346,2356,2392,2394,2396,2400,4575,5134,5244,5096,4747,3774,4277,2228,4754,4280,5246,5151,4078,4355,2439,5007,3439,4503,4484,4394,3640,5281,2418,4759,5217,5321,4532,3355,4369,2240,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3879,3885,2473,2836,1813,1990,2648,3415,2001,3339,2451,2431,2699,3243,2338,2332,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293,1610,1027,767,932,1171,1541,1259,873,40,28,7,1246,913,819,1392,151,118,801,1465,1134,1159,912,1224,1202,1612,1216,717,1785,1765,1764,1755,1763,1754,1233,1033,1415,1353,1680,1712,1732,1749,1584,902,992,846,741,1252,889,1360,978,120,1308,1542,916,730,1384,1185,1172,787,1708,1786,966,1593,755,1375,1650,1550,1664,1346,1701,1598,1597,1161,1103,1102,1444,1792,1236,1558,1651,1566,979,1345,983,1417])).
% 55.21/55.76 cnf(6213,plain,
% 55.21/55.76 (~P9(a69,f14(f27(a69,f12(a69,f5(a2,a73),f25(f27(a69,x62131))))),x62131)),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,357,360,363,368,398,410,415,421,425,581,582,605,571,577,518,5479,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,237,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,5976,6066,6095,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,5991,6040,497,5837,600,5676,5742,5986,440,5807,498,499,5593,6002,603,5494,5518,5579,5777,6056,6126,471,515,5491,5846,6063,527,5868,5871,373,394,247,254,293,352,418,463,5364,5385,6035,593,496,457,580,602,252,375,393,210,378,264,407,510,260,385,265,302,479,6075,404,253,259,292,306,384,400,478,341,372,263,338,392,383,258,587,345,212,403,208,370,307,382,371,222,453,209,320,599,5656,5840,207,251,291,250,257,314,344,504,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4113,3357,4530,3696,4008,4559,2210,3325,4186,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,5506,4751,5640,5731,5313,3863,4566,4489,2834,4466,4787,4361,4156,3337,1975,4742,6014,5013,5026,4631,4095,4267,5112,4581,3746,3533,4562,5092,4259,4724,3744,3617,1906,3601,4738,4138,4284,2128,2053,4331,4618,3853,5022,5221,4828,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,5203,4495,2188,1880,4974,4462,4966,4831,5748,4833,5344,4976,5798,2162,5463,4548,1829,4963,5888,3431,4583,5124,2976,2103,2112,4835,5570,5307,1826,1939,4553,5542,5994,5191,5486,5598,4468,5352,5374,5403,5565,5629,4256,4588,2165,3595,5068,4886,5098,3597,2946,4816,4572,2082,4338,2413,2006,4342,4493,4921,2300,2346,2352,2356,2392,2394,2396,2400,4575,5134,5244,5096,4747,3774,4277,2228,4754,4280,5246,5151,4078,4355,2439,5007,3439,4503,4484,4394,3640,5281,4419,2418,4759,5217,5321,4532,3355,4369,2240,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3879,3885,2473,2836,1813,1990,2648,3415,2001,3339,2451,2431,2699,3243,2338,2332,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293,1610,1027,767,932,1171,1541,1259,873,40,28,7,1246,913,819,1392,151,118,801,1465,1134,1159,912,1224,1202,1612,1216,717,1785,1765,1764,1755,1763,1754,1233,1033,1415,1353,1680,1712,1732,1749,1584,902,992,846,741,1252,889,1360,978,120,1308,1542,916,730,1384,1185,1172,787,1708,1786,966,1593,755,1375,1650,1550,1664,1346,1701,1598,1597,1161,1103,1102,1444,1792,1236,1558,1651,1566,979,1345,983,1417,1139,1401,1311,1086,946,1560,1687,1679,1553,1551,927,1273,1067,1130,1580,954,1441,1709,1292])).
% 55.21/55.76 cnf(6218,plain,
% 55.21/55.76 (~P10(a69,f12(a69,x62181,x62182),x62182)),
% 55.21/55.76 inference(rename_variables,[],[600])).
% 55.21/55.76 cnf(6224,plain,
% 55.21/55.76 (P10(a1,x62241,f12(a1,f27(a69,f25(x62241)),f4(a1)))),
% 55.21/55.76 inference(rename_variables,[],[515])).
% 55.21/55.76 cnf(6229,plain,
% 55.21/55.76 (P9(f72(a1),f3(f72(a1)),f54(f54(f11(f72(a1)),f8(f72(a1),f3(f72(a1)))),f8(f72(a1),f3(f72(a1)))))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,357,360,363,368,398,410,415,421,425,581,582,605,571,577,518,5479,520,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,237,274,279,281,285,288,299,310,312,317,335,391,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,5976,6066,6095,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,5991,6040,497,5837,600,5676,5742,5986,440,5807,498,499,5593,6002,603,5494,5518,5579,5777,6056,6126,471,515,5491,5846,6063,527,5868,5871,373,394,247,254,293,352,418,463,5364,5385,6035,593,496,457,580,602,252,375,393,210,378,264,407,510,260,385,265,302,479,6075,404,253,259,292,306,384,400,478,341,372,263,338,392,383,258,587,345,212,403,208,370,307,382,371,222,453,209,320,599,5656,5840,207,251,291,250,257,314,344,504,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4113,3357,4530,3696,4008,4559,2210,3325,4186,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,5506,4751,5640,5731,5313,3863,4566,4489,2834,4466,4787,4361,4156,3337,1975,4742,6014,5013,5026,4631,4095,4267,5112,4581,4136,3746,3533,4562,5092,4259,4724,3744,3617,1906,3601,4738,4138,4284,2128,2053,4331,4618,3853,5022,5221,4828,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,5203,4495,2188,1880,4974,4462,4966,4831,5748,4833,5344,4976,5798,2162,5463,4548,1829,4963,5888,3431,4583,5124,2976,2103,2112,4835,5570,5307,1826,1939,4553,5542,5994,5191,5486,5598,4468,5352,5374,5403,5565,5629,4256,4588,2165,3595,5068,4886,5098,3597,2946,4816,2130,4572,2082,4338,2413,2006,4342,4493,4921,2045,2300,2346,2352,2356,2392,2394,2396,2400,4575,5134,5244,5096,4747,3774,4277,2228,4754,4280,5246,5151,4078,4355,2439,5007,3439,4503,4484,4394,3640,5281,4419,2418,4759,5217,5321,4532,3355,4369,2240,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3879,3885,2473,2836,1813,1990,2648,3415,2001,3339,2451,2431,2699,3243,2338,2332,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293,1610,1027,767,932,1171,1541,1259,873,40,28,7,1246,913,819,1392,151,118,801,1465,1134,1159,912,1224,1202,1612,1216,717,1785,1765,1764,1755,1763,1754,1233,1033,1415,1353,1680,1712,1732,1749,1584,902,992,846,741,1252,889,1360,978,120,1308,1542,916,730,1384,1185,1172,787,1708,1786,966,1593,755,1375,1650,1550,1664,1346,1701,1598,1597,1161,1103,1102,1444,1792,1236,1558,1651,1566,979,1345,983,1417,1139,1401,1311,1086,946,1560,1687,1679,1553,1551,927,1273,1067,1130,1580,954,1441,1709,1292,1358,1073,1093,1608,1452])).
% 55.21/55.76 cnf(6235,plain,
% 55.21/55.76 (E(x62351,f10(a2,f54(f54(f11(a70),f4(a70)),f10(a2,x62351))))),
% 55.21/55.76 inference(rename_variables,[],[4742])).
% 55.21/55.76 cnf(6239,plain,
% 55.21/55.76 (P9(a1,x62391,x62391)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(6243,plain,
% 55.21/55.76 (~P24(f12(a69,f3(a69),a69))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,357,360,363,368,398,410,415,421,425,581,582,605,571,577,518,5479,520,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,237,274,279,281,285,288,299,310,312,317,335,391,484,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,5976,6066,6095,6098,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,5991,6040,497,5837,600,5676,5742,5986,440,5807,498,499,5593,6002,603,5494,5518,5579,5777,6056,6126,471,515,5491,5846,6063,6224,527,5868,5871,373,394,247,254,293,352,418,463,5364,5385,6035,593,496,457,580,602,252,375,393,210,378,264,407,510,260,385,265,302,479,6075,404,253,259,292,306,384,400,478,341,372,263,338,392,383,258,587,345,212,403,208,370,307,382,371,222,453,209,320,599,5656,5840,207,251,291,250,257,314,344,504,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4180,4113,3357,4530,3696,4008,4559,2210,3325,4186,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,5506,4751,5640,5731,5313,3863,4566,4489,2834,4466,4787,4361,4156,3337,1975,4742,6014,6105,6235,5013,5161,5026,4631,4095,4267,5112,4581,4136,3746,3533,4562,5092,4259,4724,3744,3617,1906,3601,4738,4138,4284,2128,2053,4331,4618,3853,5022,5221,4828,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,5203,4495,2188,1880,4974,4462,4966,4831,5748,4833,5344,4976,5798,2162,5463,4548,1829,4963,5888,3431,4583,5124,2976,2103,2112,4835,5570,5307,1826,5907,1939,4553,5542,5994,5191,5486,5598,4468,5352,5374,5403,5565,5629,4256,4588,2165,3595,5068,4886,5098,3597,2946,4816,2130,4572,2082,4338,2413,2006,4342,4493,4921,2045,2300,2346,2352,2356,2392,2394,2396,2400,4575,5134,5244,5096,4747,3774,4277,2228,4754,4280,5246,5151,4078,4355,2439,5007,3439,4503,4484,4394,3640,5281,4419,2418,4759,5217,5321,4532,3355,4369,2240,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3879,3885,2473,2836,1813,1990,2648,3415,2001,3339,2451,2431,2699,3243,2338,2332,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293,1610,1027,767,932,1171,1541,1259,873,40,28,7,1246,913,819,1392,151,118,801,1465,1134,1159,912,1224,1202,1612,1216,717,1785,1765,1764,1755,1763,1754,1233,1033,1415,1353,1680,1712,1732,1749,1584,902,992,846,741,1252,889,1360,978,120,1308,1542,916,730,1384,1185,1172,787,1708,1786,966,1593,755,1375,1650,1550,1664,1346,1701,1598,1597,1161,1103,1102,1444,1792,1236,1558,1651,1566,979,1345,983,1417,1139,1401,1311,1086,946,1560,1687,1679,1553,1551,927,1273,1067,1130,1580,954,1441,1709,1292,1358,1073,1093,1608,1452,2,115,114,3,119,116,181,173])).
% 55.21/55.76 cnf(6244,plain,
% 55.21/55.76 (E(f12(a69,x62441,x62442),f12(a69,x62442,x62441))),
% 55.21/55.76 inference(rename_variables,[],[484])).
% 55.21/55.76 cnf(6245,plain,
% 55.21/55.76 (~P16(f12(a69,f3(a69),a69))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,357,360,363,368,398,410,415,421,425,581,582,605,571,577,518,5479,520,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,237,274,279,281,285,288,299,310,312,317,335,391,484,6244,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,5976,6066,6095,6098,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,5991,6040,497,5837,600,5676,5742,5986,440,5807,498,499,5593,6002,603,5494,5518,5579,5777,6056,6126,471,515,5491,5846,6063,6224,527,5868,5871,373,394,247,254,293,352,418,463,5364,5385,6035,593,496,457,580,602,252,375,393,210,378,264,407,510,260,385,265,302,479,6075,404,253,259,292,306,384,400,478,341,372,263,338,392,383,258,587,345,212,403,208,370,307,382,371,222,453,209,320,599,5656,5840,207,251,291,250,257,314,344,504,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4180,4113,3357,4530,3696,4008,5163,4559,2210,3325,4186,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,5506,4751,5640,5731,5313,3863,4566,4489,2834,4466,4787,4361,4156,3337,1975,4742,6014,6105,6235,5013,5161,5026,4631,4095,4267,5112,4581,4136,3746,3533,4562,5092,4259,4724,3744,3617,1906,3601,4738,4138,4284,2128,2053,4331,4618,3853,5022,5221,4828,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,5203,4495,2188,1880,4974,4462,4966,4831,5748,4833,5344,4976,5798,2162,5463,4548,1829,4963,5888,3431,4583,5124,2976,2103,2112,4835,5570,5307,1826,5907,1939,4553,5542,5994,5191,5486,5598,4468,5352,5374,5403,5565,5629,4256,4588,2165,3595,5068,4886,5098,3597,2946,4816,2130,4572,2082,4338,2413,2006,4342,4493,4921,2045,2300,2346,2352,2356,2392,2394,2396,2400,4575,5134,5244,5096,4747,3774,4277,2228,4754,4280,5246,5151,4078,4355,2439,5007,3439,4503,4484,4394,3640,5281,4419,2418,4759,5217,5321,4532,3355,4369,2240,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3879,3885,2473,2836,1813,1990,2648,3415,2001,3339,2451,2431,2699,3243,2338,2332,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293,1610,1027,767,932,1171,1541,1259,873,40,28,7,1246,913,819,1392,151,118,801,1465,1134,1159,912,1224,1202,1612,1216,717,1785,1765,1764,1755,1763,1754,1233,1033,1415,1353,1680,1712,1732,1749,1584,902,992,846,741,1252,889,1360,978,120,1308,1542,916,730,1384,1185,1172,787,1708,1786,966,1593,755,1375,1650,1550,1664,1346,1701,1598,1597,1161,1103,1102,1444,1792,1236,1558,1651,1566,979,1345,983,1417,1139,1401,1311,1086,946,1560,1687,1679,1553,1551,927,1273,1067,1130,1580,954,1441,1709,1292,1358,1073,1093,1608,1452,2,115,114,3,119,116,181,173,147])).
% 55.21/55.76 cnf(6246,plain,
% 55.21/55.76 (E(f12(a69,x62461,x62462),f12(a69,x62462,x62461))),
% 55.21/55.76 inference(rename_variables,[],[484])).
% 55.21/55.76 cnf(6247,plain,
% 55.21/55.76 (~P32(f12(a69,f3(a69),a69))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,357,360,363,368,398,410,415,421,425,581,582,605,571,577,518,5479,520,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,237,274,279,281,285,288,299,310,312,317,335,391,484,6244,6246,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,5976,6066,6095,6098,448,5363,5381,5384,5673,449,5371,5584,5756,5908,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,5991,6040,497,5837,600,5676,5742,5986,440,5807,498,499,5593,6002,603,5494,5518,5579,5777,6056,6126,471,515,5491,5846,6063,6224,527,5868,5871,373,394,247,254,293,352,418,463,5364,5385,6035,593,496,457,580,602,252,375,393,210,378,264,407,510,260,385,265,302,479,6075,404,253,259,292,306,384,400,478,341,372,263,338,392,383,258,587,345,212,403,208,370,307,382,371,222,453,209,320,599,5656,5840,207,251,291,250,257,314,344,504,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,4456,4722,1914,2156,4180,5165,4113,3357,4530,3696,4008,5163,4559,2210,3325,4186,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,5506,4751,5640,5731,5313,3863,4566,4489,2834,4466,4787,4361,4156,3337,1975,4742,6014,6105,6235,5013,5161,5026,4631,4095,4267,5112,4581,4136,3746,3533,4562,5092,4259,4724,3744,3617,1906,3601,4738,4138,4284,2128,2053,4331,4618,3853,5022,5221,4828,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,5203,4495,2188,1880,4974,4462,4966,4831,5748,4833,5344,4976,5798,2162,5463,4548,1829,4963,5888,3431,4583,5124,2976,2103,2112,4835,5570,5307,1826,5907,1939,4553,5542,5994,5191,5486,5598,4468,5352,5374,5403,5565,5629,4256,4588,2165,3595,5068,4886,5098,3597,2946,4816,2130,4572,2082,4338,2413,2006,4342,4493,4921,2045,2300,2346,2352,2356,2392,2394,2396,2400,4575,5134,5244,5096,4747,3774,4277,2228,4754,4280,5246,5151,4078,4355,2439,5007,3439,4503,4484,4394,3640,5281,4419,2418,4759,5217,5321,4532,3355,4369,2240,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3879,3885,2473,2836,1813,1990,2648,3415,2001,3339,2451,2431,2699,3243,2338,2332,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293,1610,1027,767,932,1171,1541,1259,873,40,28,7,1246,913,819,1392,151,118,801,1465,1134,1159,912,1224,1202,1612,1216,717,1785,1765,1764,1755,1763,1754,1233,1033,1415,1353,1680,1712,1732,1749,1584,902,992,846,741,1252,889,1360,978,120,1308,1542,916,730,1384,1185,1172,787,1708,1786,966,1593,755,1375,1650,1550,1664,1346,1701,1598,1597,1161,1103,1102,1444,1792,1236,1558,1651,1566,979,1345,983,1417,1139,1401,1311,1086,946,1560,1687,1679,1553,1551,927,1273,1067,1130,1580,954,1441,1709,1292,1358,1073,1093,1608,1452,2,115,114,3,119,116,181,173,147,127])).
% 55.21/55.76 cnf(6257,plain,
% 55.21/55.76 (~P10(a69,f54(f54(f21(a69),a46),f12(a69,x62571,x62572)),f54(f54(f21(a69),a46),x62572))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,357,360,363,368,398,410,415,421,425,581,582,605,571,577,518,5479,520,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,237,274,279,281,285,288,299,310,312,317,335,391,484,6244,6246,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,5976,6066,6095,6098,448,5363,5381,5384,5673,449,5371,5584,5756,5908,5922,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,5991,6040,497,5837,600,5676,5742,5986,6218,440,5807,498,499,5593,6002,603,5494,5518,5579,5777,6056,6126,471,515,5491,5846,6063,6224,527,5868,5871,373,394,247,254,293,352,418,463,5364,5385,6035,593,496,457,580,602,252,375,393,210,378,264,407,510,260,385,265,302,479,6075,404,253,259,292,306,384,400,478,341,372,263,338,392,383,258,587,345,212,403,208,370,307,382,371,222,453,209,320,599,5656,5840,207,251,291,250,257,314,344,504,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,1819,4456,4722,1914,2156,4180,5165,4113,3357,4530,3696,4008,5163,4559,2210,3325,4186,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,5506,4751,5640,5731,5313,3863,4566,4489,2834,4466,4787,4361,4156,3337,1975,4742,6014,6105,6235,5013,5161,5026,4631,4095,4267,5112,4581,4136,3746,3533,4562,5092,4259,4724,3744,3617,1906,3601,4738,4138,4284,2128,2053,4331,4618,3853,5022,5221,4828,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,5203,4495,2188,1880,4974,4462,4966,4831,5748,4833,5344,4976,5798,2162,5463,4548,1829,4963,5888,3431,4583,5124,2976,2103,2112,4835,5570,5307,1826,5907,1939,4553,5542,5994,5191,5486,5598,4468,5352,5374,5403,5565,5629,4256,4588,2165,3595,5068,4886,5098,3597,2946,4816,2130,4572,2082,4338,2413,2006,4342,4493,4921,2045,2300,2346,2352,2356,2392,2394,2396,2400,4575,5134,5244,5096,4747,3774,4277,2228,4754,4280,5246,5151,4078,4355,2439,5007,3439,4503,4484,4394,3640,5281,4419,2418,4759,5217,5321,4532,3355,4369,2240,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3879,3885,2473,2836,1813,1990,2648,3415,2001,3339,2451,2431,2699,3243,2338,2332,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293,1610,1027,767,932,1171,1541,1259,873,40,28,7,1246,913,819,1392,151,118,801,1465,1134,1159,912,1224,1202,1612,1216,717,1785,1765,1764,1755,1763,1754,1233,1033,1415,1353,1680,1712,1732,1749,1584,902,992,846,741,1252,889,1360,978,120,1308,1542,916,730,1384,1185,1172,787,1708,1786,966,1593,755,1375,1650,1550,1664,1346,1701,1598,1597,1161,1103,1102,1444,1792,1236,1558,1651,1566,979,1345,983,1417,1139,1401,1311,1086,946,1560,1687,1679,1553,1551,927,1273,1067,1130,1580,954,1441,1709,1292,1358,1073,1093,1608,1452,2,115,114,3,119,116,181,173,147,127,8,1596,1485,929,1627])).
% 55.21/55.76 cnf(6263,plain,
% 55.21/55.76 (~P9(a1,f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74),f3(a1))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,357,360,363,368,398,410,415,421,425,581,582,605,571,577,518,5479,520,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,237,274,279,281,285,288,299,310,312,317,335,391,484,6244,6246,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,5976,6066,6095,6098,448,5363,5381,5384,5673,449,5371,5584,5756,5908,5922,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,5991,6040,497,5837,600,5676,5742,5986,6218,440,5807,498,499,5593,6002,603,5494,5518,5579,5777,6056,6126,471,515,5491,5846,6063,6224,527,5868,5871,373,394,247,254,293,352,418,463,5364,5385,6035,593,496,457,580,602,252,375,393,210,378,264,407,510,260,385,265,302,479,6075,404,253,259,292,306,384,400,478,341,372,263,338,392,383,258,587,345,212,403,208,370,307,382,371,222,453,209,320,599,5656,5840,207,251,291,250,257,314,344,504,381,287,286,585,472,249,1983,4018,2214,5271,4004,5303,5001,4310,4221,1935,1819,4456,4722,1914,2156,4180,5165,4113,3357,4530,3696,4008,5163,4559,2210,3325,4186,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,5506,4751,5640,5731,5313,3863,4566,4489,2834,4466,4787,4361,4156,3337,1975,4742,6014,6105,6235,5013,5161,5026,4631,4095,4267,5112,4581,4136,3746,3533,4562,5092,4259,4724,3744,3617,1906,3601,4738,4138,4284,2128,2053,4331,4618,3853,5022,5221,4828,3926,4556,4807,4761,3730,5127,4734,4526,3393,4677,4861,5203,4495,2188,1880,4974,4462,4966,4831,5748,4833,5344,4976,5798,2162,5463,4548,1829,4963,5888,3431,4583,5124,2976,2103,2112,4835,5570,5307,1826,5907,1939,4553,5542,5994,5191,5486,5598,4468,5352,5374,5403,5565,5629,4256,4588,2165,3595,5068,4886,5098,3597,2946,4816,2130,4572,2082,4338,2413,2006,4342,4493,4921,2045,2300,2346,2352,2356,2392,2394,2396,2400,4575,5134,5244,5096,4747,3774,4277,2228,4754,4280,5246,5151,4078,4355,2439,5007,3439,4503,4484,4394,3640,5281,4419,2418,4759,5217,5321,4532,3355,4369,2240,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3879,6137,3885,2473,2836,1813,1990,2648,3415,2001,3339,2451,2431,2699,3243,2338,2332,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293,1610,1027,767,932,1171,1541,1259,873,40,28,7,1246,913,819,1392,151,118,801,1465,1134,1159,912,1224,1202,1612,1216,717,1785,1765,1764,1755,1763,1754,1233,1033,1415,1353,1680,1712,1732,1749,1584,902,992,846,741,1252,889,1360,978,120,1308,1542,916,730,1384,1185,1172,787,1708,1786,966,1593,755,1375,1650,1550,1664,1346,1701,1598,1597,1161,1103,1102,1444,1792,1236,1558,1651,1566,979,1345,983,1417,1139,1401,1311,1086,946,1560,1687,1679,1553,1551,927,1273,1067,1130,1580,954,1441,1709,1292,1358,1073,1093,1608,1452,2,115,114,3,119,116,181,173,147,127,8,1596,1485,929,1627,720,1179,1149])).
% 55.21/55.76 cnf(6282,plain,
% 55.21/55.76 (P9(a1,x62821,x62821)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(6289,plain,
% 55.21/55.76 (~P10(a70,f3(a70),f54(f54(f11(a70),f14(f27(a69,f3(a70)))),f14(f27(a69,f3(a70)))))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,357,360,363,368,398,410,415,421,425,581,582,605,571,577,518,5479,520,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,237,274,279,281,285,288,299,310,312,317,335,391,484,6244,6246,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,5976,6066,6095,6098,6239,448,5363,5381,5384,5673,449,5371,5584,5756,5908,5922,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,5991,6040,497,5837,600,5676,5742,5986,6218,440,5807,498,499,5593,6002,603,5494,5518,5579,5777,6056,6126,471,515,5491,5846,6063,6224,527,5868,5871,373,394,247,254,293,352,418,463,5364,5385,6035,593,496,457,580,602,252,375,393,210,378,264,407,510,260,385,265,302,479,6075,404,253,259,292,306,384,400,478,341,372,263,338,392,383,258,587,345,212,403,208,370,307,382,371,222,453,209,320,599,5656,5840,207,251,291,250,257,314,344,504,381,287,286,585,472,249,1983,4058,4018,2214,5271,4004,5303,5001,4310,4221,1935,1819,4456,4722,1914,2156,4180,5165,4113,3357,4530,3696,4008,5163,4559,2210,3325,4186,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,5506,4751,5640,5731,5313,3863,4566,4489,2834,4466,4787,4361,4156,3337,1975,4742,6014,6105,6235,5013,5161,5026,4631,4095,4267,5112,4581,4136,3746,3533,4562,5092,4259,4724,3744,3617,1906,3601,4090,5263,4738,4138,4284,2128,2053,4331,4618,3853,5022,5221,4828,3926,4556,4807,4761,3730,5127,4734,3921,4526,3393,4677,4861,5203,4495,2188,1880,4974,4462,4966,4831,5748,4833,5344,4976,5798,2162,5463,4548,1829,4963,5888,3431,4583,5124,2976,2103,2112,4835,5570,5307,1826,5907,1939,4553,5542,5994,5191,5486,5598,4468,5352,5374,5403,5565,5629,4256,4588,2165,3595,5068,4886,5098,3597,2946,4816,2130,4572,2082,4338,2413,2006,4342,4493,4921,2045,2300,2346,2352,2356,2392,2394,2396,2400,4575,5134,5244,5096,4747,3774,4277,3469,3463,2228,4754,4280,5246,5151,4078,4355,2439,5007,3439,4503,4484,4394,3640,5281,4419,2418,4759,5217,5321,4532,3355,4369,2240,4638,5138,5223,3720,3373,2601,1942,2264,2803,3241,3879,6137,1981,3885,2473,2836,1813,1990,2648,3415,3417,2001,3339,2451,2431,2699,3243,2338,2332,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293,1610,1027,767,932,1171,1541,1259,873,40,28,7,1246,913,819,1392,151,118,801,1465,1134,1159,912,1224,1202,1612,1216,717,1785,1765,1764,1755,1763,1754,1233,1033,1415,1353,1680,1712,1732,1749,1584,902,992,846,741,1252,889,1360,978,120,1308,1542,916,730,1384,1185,1172,787,1708,1786,966,1593,755,1375,1650,1550,1664,1346,1701,1598,1597,1161,1103,1102,1444,1792,1236,1558,1651,1566,979,1345,983,1417,1139,1401,1311,1086,946,1560,1687,1679,1553,1551,927,1273,1067,1130,1580,954,1441,1709,1292,1358,1073,1093,1608,1452,2,115,114,3,119,116,181,173,147,127,8,1596,1485,929,1627,720,1179,1149,882,1157,716,714,1052,1490,1517,1241,1739,800,1341,1466])).
% 55.21/55.76 cnf(6302,plain,
% 55.21/55.76 (~E(f54(f54(f11(f10(a2,f54(f54(f11(a70),f4(a70)),f10(a2,a1)))),f12(a69,f3(f10(a2,f54(f54(f11(a70),f4(a70)),f10(a2,a1)))),f12(a69,f5(a2,a73),f3(a69)))),f12(a69,f3(f10(a2,f54(f54(f11(a70),f4(a70)),f10(a2,a1)))),f12(a69,f5(a2,a73),f3(a69)))),f3(f10(a2,f54(f54(f11(a70),f4(a70)),f10(a2,a1)))))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,357,360,363,368,398,410,415,421,425,581,582,605,571,577,518,5479,520,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,237,274,279,281,285,288,299,310,312,317,335,391,484,6244,6246,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,5976,6066,6095,6098,6239,6282,448,5363,5381,5384,5673,449,5371,5584,5756,5908,5922,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,5991,6040,497,5837,600,5676,5742,5986,6218,440,5807,498,499,5593,6002,603,5494,5518,5579,5777,6056,6126,471,515,5491,5846,6063,6224,527,5868,5871,373,394,247,254,293,352,418,463,5364,5385,6035,593,496,457,580,602,252,375,393,210,378,264,407,510,260,385,265,302,479,6075,404,253,259,292,306,384,400,478,341,372,263,338,392,383,258,587,516,345,212,403,208,370,307,382,371,222,453,209,320,599,5656,5840,207,251,291,250,257,314,344,504,381,287,286,585,472,249,1983,4058,4018,2214,5271,4004,5303,5001,4310,4221,1935,1819,4456,4722,1914,2156,4180,5165,4113,3357,4530,3696,4008,5163,4559,2210,3325,4186,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,5506,4751,5640,5731,5313,3863,4566,4489,2834,4466,4787,4361,4156,3337,1975,4742,6014,6105,6235,5013,5161,5026,4631,4095,4267,5112,4581,4136,3746,3533,4562,5092,4259,4724,3744,3617,1906,3601,4090,5263,4738,4138,4284,2128,2053,4331,4618,3853,5022,5221,4828,3926,4556,4807,4761,3730,5127,4734,3921,4526,3393,4677,4861,5203,4495,2188,1880,4974,4462,4966,4831,5748,4833,5344,4976,5798,2162,5463,4548,1829,4963,5888,3431,4583,5124,2976,2103,2112,4835,5570,5307,1826,5907,1939,4553,5542,5994,5191,5486,5598,4468,5352,5374,5403,5565,5629,4256,4588,2165,3595,5068,4886,5098,3597,2946,4816,2130,4572,2082,4338,2413,2006,4342,4493,4921,2045,2300,2346,2352,2356,2392,2394,2396,2400,4575,5134,5244,5096,4747,3774,4277,3469,3463,2228,4754,4280,5246,5151,4078,4355,2439,5007,3439,4503,4484,4394,3640,5281,4419,2418,4759,5217,5321,2813,4532,3355,4369,2240,4638,5138,5223,3720,3373,2601,1942,2264,2803,3237,3241,3879,6137,1981,3885,2473,2836,1813,1990,2648,3415,3417,2001,3339,2451,2431,2699,3243,2338,2332,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293,1610,1027,767,932,1171,1541,1259,873,40,28,7,1246,913,819,1392,151,118,801,1465,1134,1159,912,1224,1202,1612,1216,717,1785,1765,1764,1755,1763,1754,1233,1033,1415,1353,1680,1712,1732,1749,1584,902,992,846,741,1252,889,1360,978,120,1308,1542,916,730,1384,1185,1172,787,1708,1786,966,1593,755,1375,1650,1550,1664,1346,1701,1598,1597,1161,1103,1102,1444,1792,1236,1558,1651,1566,979,1345,983,1417,1139,1401,1311,1086,946,1560,1687,1679,1553,1551,927,1273,1067,1130,1580,954,1441,1709,1292,1358,1073,1093,1608,1452,2,115,114,3,119,116,181,173,147,127,8,1596,1485,929,1627,720,1179,1149,882,1157,716,714,1052,1490,1517,1241,1739,800,1341,1466,1700,1036,1470,710,924])).
% 55.21/55.76 cnf(6311,plain,
% 55.21/55.76 (~E(f12(a70,f3(a70),f4(a70)),f3(a70))),
% 55.21/55.76 inference(scs_inference,[],[205,1811,217,241,245,255,267,272,278,298,326,329,334,340,343,348,353,356,357,360,363,368,398,410,415,421,425,581,582,605,571,577,518,5479,520,446,529,5394,5497,5509,557,377,509,220,225,229,233,236,237,274,279,281,285,288,299,310,312,317,335,391,484,6244,6246,552,560,294,376,405,564,459,447,5341,5521,5648,5773,5780,5793,5851,5976,6066,6095,6098,6239,6282,448,5363,5381,5384,5673,449,5371,5584,5756,5908,5922,261,304,321,322,379,386,397,402,419,495,5641,5668,5899,5991,6040,497,5837,600,5676,5742,5986,6218,440,5807,498,499,5593,6002,603,5494,5518,5579,5777,6056,6126,471,515,5491,5846,6063,6224,527,5868,5871,373,394,247,254,293,352,418,463,5364,5385,6035,593,496,457,580,602,252,375,393,210,378,264,407,510,260,385,265,302,479,6075,404,253,259,292,306,384,400,478,341,372,263,338,392,383,258,587,516,345,212,403,208,370,307,382,371,222,453,209,320,599,5656,5840,207,251,291,250,257,314,344,504,381,287,286,585,472,249,1983,4058,4018,2214,5271,4004,5303,5001,4310,4221,1935,1819,4456,4722,1914,2156,4180,5165,4113,3357,4530,3696,4008,5163,4559,2210,3325,4186,5305,4979,5230,5470,5612,5665,4162,4845,5441,5445,4068,2659,5506,4751,5640,5731,5313,3863,4566,4489,2834,4466,4787,4361,4156,3337,1975,4742,6014,6105,6235,5013,5161,5026,4631,4095,4267,5112,4581,4136,3746,3533,4562,5092,4259,4724,3744,3617,1906,3601,4090,5263,4738,4138,4284,2128,2053,4331,4618,3853,5022,5221,4828,3926,4556,4807,4761,3730,5127,4734,3921,4526,3393,4677,4861,5203,4495,2188,1880,4974,4462,4966,4831,5748,4833,5344,4976,5798,2162,5463,4548,1829,4963,5888,3431,4583,5124,2976,2103,2112,4835,5570,5307,1826,5907,1939,4553,5542,5994,5191,5486,5598,4468,5352,5374,5403,5565,5629,4256,4588,2165,3595,5068,4886,5098,3597,2946,4816,2130,4572,2082,4338,2413,2006,4342,4493,4921,2045,2286,2300,2334,2346,2352,2356,2392,2394,2396,2400,4575,5134,5244,5096,4747,3774,4277,3469,3463,2228,4754,4280,5246,5151,4078,4355,2439,5007,3439,4503,4484,4394,3640,5281,4419,2418,4759,5217,5321,2813,4532,3355,4369,2240,4638,5138,5223,3720,3373,2601,1942,2264,2803,3237,3241,3879,6137,1981,3885,2473,2836,1813,1990,2648,3415,3417,2001,3339,2451,2431,2699,3243,2338,2332,2316,2200,2360,1476,1386,1079,765,1175,1773,1247,1568,1590,1167,1578,1703,837,1297,986,1707,1666,1314,1745,1240,1705,864,1078,1004,1060,1391,1325,1499,199,198,197,196,195,193,191,190,189,184,183,182,175,174,172,171,167,165,162,160,159,155,150,148,146,145,143,142,138,137,135,132,131,125,122,117,1210,1604,1443,1195,1163,1613,1184,1180,947,1794,1784,1756,1798,1796,1788,1762,1238,1237,1114,1208,1126,839,1377,1355,1734,1677,1648,1581,1570,1528,1451,1450,1699,1744,1718,1750,977,1110,39,1368,1187,1089,113,1075,1132,1183,1178,863,1787,1235,1234,1434,1736,1268,1388,1575,1702,997,851,880,1014,1095,1013,769,1543,893,1678,1456,750,1348,1270,1012,1225,1199,970,1239,969,1427,998,1420,1074,1606,1430,1473,926,1186,960,1447,956,1429,857,1431,1390,1498,1497,203,202,201,200,194,192,188,187,186,185,178,176,170,169,168,166,164,163,161,158,154,153,149,144,141,139,136,130,129,128,126,124,123,121,1099,1098,900,1133,915,1445,1204,1200,1197,724,1215,691,934,862,1791,1782,1797,1795,1753,1728,1414,1125,1582,1428,1318,1310,1561,1684,1649,1569,1446,1694,1768,1777,1634,1583,852,1023,1254,1065,984,836,1061,1519,1088,906,1500,1105,1510,1322,1295,722,1789,1727,1408,1645,1644,1343,1681,1579,1480,1188,980,908,976,1022,1364,1352,1351,1277,874,1066,1326,1094,933,899,1385,1174,690,971,1783,1559,1457,1767,925,744,1365,1117,959,1409,917,919,948,1683,1663,1552,1258,1418,1323,1029,1009,1379,1440,1438,1256,1442,1439,1151,1426,1363,1421,1454,1293,1610,1027,767,932,1171,1541,1259,873,40,28,7,1246,913,819,1392,151,118,801,1465,1134,1159,912,1224,1202,1612,1216,717,1785,1765,1764,1755,1763,1754,1233,1033,1415,1353,1680,1712,1732,1749,1584,902,992,846,741,1252,889,1360,978,120,1308,1542,916,730,1384,1185,1172,787,1708,1786,966,1593,755,1375,1650,1550,1664,1346,1701,1598,1597,1161,1103,1102,1444,1792,1236,1558,1651,1566,979,1345,983,1417,1139,1401,1311,1086,946,1560,1687,1679,1553,1551,927,1273,1067,1130,1580,954,1441,1709,1292,1358,1073,1093,1608,1452,2,115,114,3,119,116,181,173,147,127,8,1596,1485,929,1627,720,1179,1149,882,1157,716,714,1052,1490,1517,1241,1739,800,1341,1466,1700,1036,1470,710,924,1305,1150,1758,1520,1057])).
% 55.21/55.76 cnf(6357,plain,
% 55.21/55.76 (P9(a1,x63571,x63571)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(6383,plain,
% 55.21/55.76 (P9(a1,x63831,x63831)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(6387,plain,
% 55.21/55.76 (~P9(a69,f14(f27(a69,f12(a69,f5(a2,a73),f25(f27(a69,x63871))))),x63871)),
% 55.21/55.76 inference(rename_variables,[],[6213])).
% 55.21/55.76 cnf(6390,plain,
% 55.21/55.76 (~P9(a1,f12(a1,f9(a1,f54(f54(f11(a1),f26(a1,f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74))),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))),f54(f54(f11(a1),f26(a1,f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74))),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74))),x63901),x63901)),
% 55.21/55.76 inference(rename_variables,[],[5505])).
% 55.21/55.76 cnf(6402,plain,
% 55.21/55.76 (~P9(a70,f12(a70,f4(a70),f4(a70)),f4(a70))),
% 55.21/55.76 inference(scs_inference,[],[460,279,387,447,6357,419,247,264,338,1811,474,209,208,320,578,314,287,286,4843,5523,5825,6257,5722,5739,6213,5505,6125,3688,5462,5354,5611,2711,5030,4173,1929,4590,3579,3533,2264,3373,2657,1813,2699,4556,2386,2316,1476,1562,1483,1773,1403,1386,1127,1665,1747,1031,1175,1578,1568,837,832,973,1666])).
% 55.21/55.76 cnf(6407,plain,
% 55.21/55.76 (P9(a1,f28(a2,x64071),f12(a1,f28(a2,f12(a2,x64071,x64072)),f28(a2,x64072)))),
% 55.21/55.76 inference(rename_variables,[],[552])).
% 55.21/55.76 cnf(6412,plain,
% 55.21/55.76 (P9(a1,f3(a1),f28(a2,x64121))),
% 55.21/55.76 inference(rename_variables,[],[3339])).
% 55.21/55.76 cnf(6413,plain,
% 55.21/55.76 (P9(a1,x64131,x64131)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(6414,plain,
% 55.21/55.76 (P9(a1,x64141,x64141)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(6419,plain,
% 55.21/55.76 (~P9(a1,f12(a1,f9(a1,f54(f54(f11(a1),f26(a1,f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74))),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))),f54(f54(f11(a1),f26(a1,f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74))),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74))),x64191),x64191)),
% 55.21/55.76 inference(rename_variables,[],[5505])).
% 55.21/55.76 cnf(6424,plain,
% 55.21/55.76 (P9(a1,x64241,x64241)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(6430,plain,
% 55.21/55.76 (P13(a1,x64301,f54(f54(f11(a1),x64302),f10(a1,f8(a1,x64301))))),
% 55.21/55.76 inference(rename_variables,[],[5718])).
% 55.21/55.76 cnf(6433,plain,
% 55.21/55.76 (P10(a70,x64331,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x64331,f10(a70,f3(a70)))),f4(a70))),f4(a70)))),
% 55.21/55.76 inference(rename_variables,[],[6107])).
% 55.21/55.76 cnf(6437,plain,
% 55.21/55.76 (P9(a1,x64371,f27(a69,f14(f8(a1,x64371))))),
% 55.21/55.76 inference(scs_inference,[],[521,460,535,279,387,552,447,6357,6383,6414,419,480,247,457,262,293,264,338,1811,474,209,392,208,320,382,578,291,344,314,287,331,286,6024,5529,4843,5523,5825,5436,6257,6020,5722,5718,5739,6213,6107,5505,6390,6125,3688,5462,5354,4282,5460,5611,2711,5030,4173,1929,4590,3579,3533,3720,2264,3373,2657,1813,1918,3339,2699,4556,2386,2316,1476,1562,1483,1773,1403,1386,1127,1665,1747,1031,1175,1578,1568,837,832,973,1666,1745,1240,923,1705,1052,1391,1184,1796,1762,1241,1648,1325,1132])).
% 55.21/55.76 cnf(6442,plain,
% 55.21/55.76 (P9(a69,f12(a69,f9(a69,x64421,f9(a69,x64421,x64422)),f9(a69,x64421,x64422)),x64421)),
% 55.21/55.76 inference(scs_inference,[],[521,460,535,279,387,552,601,447,6357,6383,6414,448,419,497,480,247,457,262,293,264,373,338,1811,474,209,392,208,320,382,578,291,344,314,287,331,286,6024,5529,4843,5523,5825,5436,6257,6020,5722,5718,5739,6213,6107,5505,6390,6125,3688,5462,5354,4282,5460,5611,2711,5030,4173,1929,4590,3579,3533,3720,2264,3373,2657,1813,1918,3339,2699,4556,2386,2316,1476,1562,1483,1773,1403,1386,1127,1665,1747,1031,1175,1578,1568,837,832,973,1666,1745,1240,923,1705,1052,1391,1184,1796,1762,1241,1648,1325,1132,1604,1613])).
% 55.21/55.76 cnf(6443,plain,
% 55.21/55.76 (P9(a69,x64431,x64431)),
% 55.21/55.76 inference(rename_variables,[],[448])).
% 55.21/55.76 cnf(6446,plain,
% 55.21/55.76 (P9(a1,x64461,x64461)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(6449,plain,
% 55.21/55.76 (P10(a70,x64491,f12(a70,x64492,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x64492,f10(a70,f10(a70,x64491)))),f4(a70))),f4(a70))))),
% 55.21/55.76 inference(rename_variables,[],[6026])).
% 55.21/55.76 cnf(6452,plain,
% 55.21/55.76 (P10(a70,x64521,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x64521,f10(a70,f3(a70)))),f4(a70))),f4(a70)))),
% 55.21/55.76 inference(rename_variables,[],[6107])).
% 55.21/55.76 cnf(6467,plain,
% 55.21/55.76 (P9(a69,x64671,x64671)),
% 55.21/55.76 inference(rename_variables,[],[448])).
% 55.21/55.76 cnf(6469,plain,
% 55.21/55.76 (P9(a1,x64691,f12(a1,f54(f54(f11(a1),f9(a1,x64692,x64692)),x64693),x64691))),
% 55.21/55.76 inference(scs_inference,[],[521,460,535,279,387,552,601,447,6357,6383,6414,6424,6446,6413,448,6443,419,497,480,247,457,262,293,264,373,292,338,1811,474,253,209,392,208,320,382,578,291,344,314,287,331,286,472,6017,6024,5529,4843,5523,5825,5436,6139,6257,6020,5722,5718,5739,6213,6107,6433,5505,6390,6026,6125,3688,5990,5462,5354,4282,6289,5948,5460,5611,2711,5030,4173,1929,4590,3579,3533,3720,2264,3373,2657,1813,1918,3339,2699,4556,2386,2316,1476,1562,1483,1773,1403,1386,1127,1665,1747,1031,1175,1578,1568,837,832,973,1666,1745,1240,923,1705,1052,1391,1184,1796,1762,1241,1648,1325,1132,1604,1613,1798,1788,1528,1450,864,1368,1499,1180,1149,1794,1787])).
% 55.21/55.76 cnf(6472,plain,
% 55.21/55.76 (P10(f72(a1),f12(f72(a1),f3(f72(a1)),f12(f72(a1),f5(a2,a32),x64721)),f12(f72(a1),f12(f72(a1),f54(f54(f11(f72(a1)),f12(f72(a1),f23(a1,x64722,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x64723,f12(a1,f3(f72(a1)),f4(a1))))),f12(f72(a1),f23(a1,x64722,f12(a1,f3(f72(a1)),f4(a1))),f18(a1,x64723,f12(a1,f3(f72(a1)),f4(a1))))),f54(f54(f11(f72(a1)),x64724),x64724)),f12(f72(a1),f5(a2,a73),x64721)))),
% 55.21/55.76 inference(scs_inference,[],[521,460,535,279,387,552,601,447,6357,6383,6414,6424,6446,6413,448,6443,419,497,480,247,457,262,293,264,373,292,338,1811,474,253,209,392,208,320,382,578,291,344,314,287,331,286,472,6017,6024,5529,4843,5523,5215,5086,5825,5436,6139,6257,6020,5722,5718,5739,6213,6107,6433,5505,6390,6026,6125,3688,5990,5462,5354,4282,6289,5948,5460,5611,2711,5030,4173,1929,4590,3579,3533,2300,3720,2264,3373,2657,1813,1918,3339,2699,4556,2386,2316,1476,1562,1483,1773,1403,1386,1127,1665,1747,1031,1175,1578,1568,837,832,973,1666,1745,1240,923,1705,1052,1391,1184,1796,1762,1241,1648,1325,1132,1604,1613,1798,1788,1528,1450,864,1368,1499,1180,1149,1794,1787,1237])).
% 55.21/55.76 cnf(6481,plain,
% 55.21/55.76 (P10(a1,x64811,f27(a69,f12(a69,x64812,f12(a69,f25(x64811),f4(a69)))))),
% 55.21/55.76 inference(rename_variables,[],[5667])).
% 55.21/55.76 cnf(6487,plain,
% 55.21/55.76 (P9(a69,x64871,x64871)),
% 55.21/55.76 inference(rename_variables,[],[448])).
% 55.21/55.76 cnf(6488,plain,
% 55.21/55.76 (P9(a69,f3(a69),x64881)),
% 55.21/55.76 inference(rename_variables,[],[463])).
% 55.21/55.76 cnf(6508,plain,
% 55.21/55.76 (~E(f12(a69,x65081,f12(a69,f5(a2,a73),f3(a69))),x65081)),
% 55.21/55.76 inference(rename_variables,[],[5664])).
% 55.21/55.76 cnf(6519,plain,
% 55.21/55.76 (P9(a1,x65191,x65191)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(6525,plain,
% 55.21/55.76 (P10(a70,f3(a70),f9(a70,f4(a70),f3(a70)))),
% 55.21/55.76 inference(scs_inference,[],[521,460,535,530,279,387,390,552,601,447,6357,6383,6414,6424,6446,6413,448,6443,6467,419,497,480,247,463,457,375,458,262,293,264,479,384,404,373,292,338,1811,474,253,209,392,208,383,251,320,382,250,578,291,344,314,287,331,286,472,2159,6017,5051,6024,5664,4736,5529,4843,5523,5215,5086,5387,5825,5116,5436,6139,6257,6020,5722,5718,5739,6213,6387,6107,6433,5505,6390,6419,6026,6125,3688,5592,5990,5667,5462,3722,5354,2294,4282,6289,5948,5148,5460,5827,5611,2711,5030,4173,1929,4590,2974,2638,5193,3579,3533,2300,3720,2264,3373,2657,1813,2392,2394,2396,2400,1918,4004,3339,2699,4556,2386,2316,1476,1562,1483,1773,1403,1386,1127,1665,1747,1031,1175,1578,1568,837,832,973,1666,1745,1240,923,1705,1052,1391,1184,1796,1762,1241,1648,1325,1132,1604,1613,1798,1788,1528,1450,864,1368,1499,1180,1149,1794,1787,1237,1736,1299,1110,1089,1707,1466,1456,1473,977,997,880,1187,1443,970,998,1014,800,1036,1430,1420,1235,960])).
% 55.21/55.76 cnf(6528,plain,
% 55.21/55.76 (~P10(a69,f12(a69,x65281,x65282),x65281)),
% 55.21/55.76 inference(rename_variables,[],[601])).
% 55.21/55.76 cnf(6543,plain,
% 55.21/55.76 (P9(a1,f28(a2,x65431),f12(a1,f28(a2,f12(a2,x65431,x65432)),f28(a2,x65432)))),
% 55.21/55.76 inference(rename_variables,[],[552])).
% 55.21/55.76 cnf(6553,plain,
% 55.21/55.76 (P9(a1,x65531,x65531)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(6556,plain,
% 55.21/55.76 (P9(a1,x65561,x65561)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(6562,plain,
% 55.21/55.76 (E(f12(a69,f54(f54(f11(a69),x65621),x65622),f12(a69,f54(f54(f11(a69),x65623),x65622),x65624)),f12(a69,f54(f54(f11(a69),f12(a69,x65621,x65623)),x65622),x65624))),
% 55.21/55.76 inference(rename_variables,[],[557])).
% 55.21/55.76 cnf(6565,plain,
% 55.21/55.76 (P10(a1,x65651,f12(a1,f27(a69,f25(x65651)),f4(a1)))),
% 55.21/55.76 inference(rename_variables,[],[515])).
% 55.21/55.76 cnf(6568,plain,
% 55.21/55.76 (P10(a70,x65681,f12(a70,x65682,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x65682,f10(a70,f10(a70,x65681)))),f4(a70))),f4(a70))))),
% 55.21/55.76 inference(rename_variables,[],[6026])).
% 55.21/55.76 cnf(6570,plain,
% 55.21/55.76 (~E(f12(a2,f54(f54(f11(a2),x65701),x65702),f12(a69,f12(a2,f54(f54(f11(a2),f9(a2,x65703,x65701)),x65702),x65704),f12(a69,f5(a2,a73),f3(a69)))),f12(a2,f54(f54(f11(a2),x65703),x65702),x65704))),
% 55.21/55.76 inference(scs_inference,[],[521,460,535,557,530,279,387,390,552,6407,465,601,447,6357,6383,6414,6424,6446,6519,6553,6413,448,6443,6467,6487,419,497,480,515,247,463,457,261,402,375,458,262,293,264,479,384,404,373,292,338,1811,259,474,253,209,392,208,383,251,207,320,382,250,578,291,344,314,381,287,331,286,472,249,2159,6302,5999,6017,5972,4479,5051,6024,5664,6508,4736,5415,5529,4843,5523,1890,5215,5086,5387,5825,5116,5436,6139,6094,6257,6020,5722,5718,5739,6213,6387,6107,6433,5672,5505,6390,6419,6026,6449,6174,6125,3688,5592,5990,5667,5462,5624,3722,5354,2294,4282,6289,5948,5148,5460,5827,5611,5894,2711,5030,4173,1929,4590,2974,2638,5193,3579,3533,2300,3720,2264,3373,2657,1813,2392,2394,2396,2400,1918,4004,3339,2699,4556,2386,2316,1476,1562,1483,1773,1403,1386,1127,1665,1747,1031,1175,1578,1568,837,832,973,1666,1745,1240,923,1705,1052,1391,1184,1796,1762,1241,1648,1325,1132,1604,1613,1798,1788,1528,1450,864,1368,1499,1180,1149,1794,1787,1237,1736,1299,1110,1089,1707,1466,1456,1473,977,997,880,1187,1443,970,998,1014,800,1036,1430,1420,1235,960,1186,956,926,1074,924,1078,162,1210,1200,1195,724,1305,1150,1791,1756,1797,1795,1753])).
% 55.21/55.76 cnf(6571,plain,
% 55.21/55.76 (~E(f12(a69,x65711,f12(a69,f5(a2,a73),f3(a69))),x65711)),
% 55.21/55.76 inference(rename_variables,[],[5664])).
% 55.21/55.76 cnf(6580,plain,
% 55.21/55.76 (~P9(a1,a74,f3(a1))),
% 55.21/55.76 inference(scs_inference,[],[521,460,535,557,530,279,387,390,552,6407,465,601,569,447,6357,6383,6414,6424,6446,6519,6553,6413,448,6443,6467,6487,419,497,480,515,247,463,457,261,402,375,458,262,293,264,479,384,404,373,292,338,1811,259,474,253,209,392,208,383,251,207,320,382,250,578,291,344,314,381,287,331,286,472,249,2159,6302,5999,6017,5972,4479,5051,6024,5664,6508,4736,5415,5529,4843,5523,1890,5391,5215,5086,5387,5825,5116,5436,6139,6094,6257,6020,5722,5718,5739,6213,6387,6107,6433,5672,5505,6390,6419,6026,6449,6174,6125,3688,5592,5990,5667,5462,5624,3722,5354,2294,4282,6289,5948,5148,5460,5827,5611,5894,2693,2711,5030,3684,4173,1929,4590,2974,2638,5193,3579,5151,3533,2300,3720,2264,3373,2657,1813,2308,2392,2394,2396,2400,1918,4004,3339,2699,4556,2386,2316,1476,1562,1483,1773,1403,1386,1127,1665,1747,1031,1175,1578,1568,837,832,973,1666,1745,1240,923,1705,1052,1391,1184,1796,1762,1241,1648,1325,1132,1604,1613,1798,1788,1528,1450,864,1368,1499,1180,1149,1794,1787,1237,1736,1299,1110,1089,1707,1466,1456,1473,977,997,880,1187,1443,970,998,1014,800,1036,1430,1420,1235,960,1186,956,926,1074,924,1078,162,1210,1200,1195,724,1305,1150,1791,1756,1797,1795,1753,1561,1377,1677,1570])).
% 55.21/55.76 cnf(6592,plain,
% 55.21/55.76 (P9(a70,x65921,x65921)),
% 55.21/55.76 inference(rename_variables,[],[449])).
% 55.21/55.76 cnf(6607,plain,
% 55.21/55.76 (~P10(a1,f12(a1,f27(a69,f25(x66071)),f4(a1)),x66071)),
% 55.21/55.76 inference(scs_inference,[],[572,521,511,460,535,557,530,279,353,387,390,552,6407,465,601,569,447,6357,6383,6414,6424,6446,6519,6553,6413,448,6443,6467,6487,449,419,497,480,515,6565,247,463,295,457,261,402,375,458,262,293,264,479,384,404,373,292,338,400,1811,259,345,474,253,209,392,208,383,251,403,207,320,382,250,578,291,344,314,381,287,331,286,472,249,2159,6302,5999,6017,5972,4479,5051,6024,5664,6508,4736,6151,5415,5529,4843,5523,1890,5391,5215,5086,5387,5825,5116,5436,6139,6094,6257,6020,5722,5718,5739,5652,6213,6387,6107,6433,5672,5505,6390,6419,6026,6449,6174,6125,3688,5592,5990,5667,5462,5624,3722,5354,2294,4282,6289,5948,5148,5460,5827,5611,5894,2693,2840,2711,5030,3684,4173,1929,4590,2974,2638,5193,3579,5151,3533,2300,5223,3720,2264,3373,2657,1813,2308,2392,2394,2396,2400,1918,4004,3339,2699,4556,2386,2316,1476,1562,1483,1773,1403,1386,1127,1665,1747,1031,1175,1578,1568,837,832,973,1666,1745,1240,923,1705,1052,1391,1184,1796,1762,1241,1648,1325,1132,1604,1613,1798,1788,1528,1450,864,1368,1499,1180,1149,1794,1787,1237,1736,1299,1110,1089,1707,1466,1456,1473,977,997,880,1187,1443,970,998,1014,800,1036,1430,1420,1235,960,1186,956,926,1074,924,1078,162,1210,1200,1195,724,1305,1150,1791,1756,1797,1795,1753,1561,1377,1677,1570,39,1497,1105,1322,1204,722,1579,1446,851,857,165,1099,1095])).
% 55.21/55.76 cnf(6611,plain,
% 55.21/55.76 (P9(a1,f3(a1),f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74))),
% 55.21/55.76 inference(scs_inference,[],[572,521,511,460,535,557,530,279,353,387,390,552,6407,465,601,569,447,6357,6383,6414,6424,6446,6519,6553,6413,448,6443,6467,6487,449,419,497,480,515,6565,247,463,295,457,261,402,375,458,262,293,264,479,384,404,373,292,338,400,1811,259,345,474,253,209,392,208,383,251,403,207,320,382,250,578,291,344,314,381,287,331,286,472,249,2159,6302,5999,6017,5972,4479,5051,6024,5664,6508,4736,6151,5415,5529,4843,5523,1890,5391,5215,5086,5387,5825,5116,5436,6139,6094,6257,6020,5722,5718,5739,5652,6213,6387,6107,6433,5672,5505,6390,6419,6026,6449,6174,6125,3688,5592,5990,5667,5462,5624,3722,5354,2294,4282,6289,5948,5148,5460,5827,5611,5894,2693,2840,2711,5030,3684,4173,1929,4590,2974,2638,5193,3579,5151,3533,2300,5223,3720,2264,3373,2657,1813,2308,2392,2394,2396,2400,1918,4004,3339,2699,4556,2386,2316,1476,1562,1483,1773,1403,1386,1127,1665,1747,1031,1175,1578,1568,837,832,973,1666,1745,1240,923,1705,1052,1391,1184,1796,1762,1241,1648,1325,1132,1604,1613,1798,1788,1528,1450,864,1368,1499,1180,1149,1794,1787,1237,1736,1299,1110,1089,1707,1466,1456,1473,977,997,880,1187,1443,970,998,1014,800,1036,1430,1420,1235,960,1186,956,926,1074,924,1078,162,1210,1200,1195,724,1305,1150,1791,1756,1797,1795,1753,1561,1377,1677,1570,39,1497,1105,1322,1204,722,1579,1446,851,857,165,1099,1095,769,1183])).
% 55.21/55.76 cnf(6614,plain,
% 55.21/55.76 (~E(f10(a70,f12(a69,f10(a70,f12(a70,f4(a70),f9(a69,f10(a70,x66141),f10(a70,x66141)))),f10(a70,x66141))),x66141)),
% 55.21/55.76 inference(rename_variables,[],[5730])).
% 55.21/55.76 cnf(6623,plain,
% 55.21/55.76 (~P10(a69,f12(a69,x66231,x66232),x66231)),
% 55.21/55.76 inference(rename_variables,[],[601])).
% 55.21/55.76 cnf(6628,plain,
% 55.21/55.76 (P9(a69,x66281,x66281)),
% 55.21/55.76 inference(rename_variables,[],[448])).
% 55.21/55.76 cnf(6631,plain,
% 55.21/55.76 (P10(a1,x66311,f12(a1,f27(a69,f25(x66311)),f4(a1)))),
% 55.21/55.76 inference(rename_variables,[],[515])).
% 55.21/55.76 cnf(6640,plain,
% 55.21/55.76 (P9(a69,f9(a69,x66401,x66402),x66401)),
% 55.21/55.76 inference(rename_variables,[],[497])).
% 55.21/55.76 cnf(6641,plain,
% 55.21/55.76 (~P10(a69,x66411,f54(f54(f11(a69),f9(a69,f12(a69,a78,f4(a69)),f12(a69,a78,f4(a69)))),x66412))),
% 55.21/55.76 inference(rename_variables,[],[5961])).
% 55.21/55.76 cnf(6642,plain,
% 55.21/55.76 (P9(a69,x66421,x66421)),
% 55.21/55.76 inference(rename_variables,[],[448])).
% 55.21/55.76 cnf(6645,plain,
% 55.21/55.76 (P9(a70,x66451,x66451)),
% 55.21/55.76 inference(rename_variables,[],[449])).
% 55.21/55.76 cnf(6652,plain,
% 55.21/55.76 (~P10(a70,f12(a2,f29(a2,f9(a1,f4(a1),f54(f54(f21(a1),a81),a78))),f54(f54(f11(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f54(f54(f11(a2),f29(a2,a81)),a83))),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))),f12(a2,f4(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f12(a2,a76,f54(f54(f11(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))))))),
% 55.21/55.76 inference(scs_inference,[],[572,521,511,460,594,535,557,530,279,353,387,390,552,6407,465,544,601,6528,564,569,447,6357,6383,6414,6424,6446,6519,6553,6413,448,6443,6467,6487,6628,449,6592,419,497,480,515,6565,247,463,295,457,261,402,375,458,262,293,252,264,479,378,384,404,373,292,338,516,400,1811,259,258,345,474,253,209,392,208,383,251,403,207,257,320,382,250,578,291,344,314,381,287,331,286,472,249,2159,6302,5999,6017,5972,4479,5429,5051,6024,6229,5664,6508,4736,6151,5415,5730,5529,4843,5523,4640,1890,5391,5215,5086,5387,5825,5116,5107,5436,5961,6139,6094,6257,6020,5722,5718,5739,5652,6213,6387,6107,6433,5672,5505,6390,6419,6026,6449,6174,6125,3688,5592,5990,5667,5462,5624,3722,5354,2294,4282,6289,5948,5148,5460,5827,5611,5894,2693,2840,2711,5030,4482,3684,4173,1929,4590,2974,2638,5193,3579,5151,3533,2300,5223,3720,2264,2250,3373,2657,3237,1813,2308,2392,2394,2396,2400,1918,4004,3339,2699,4556,2386,2316,607,1476,1562,1483,1773,1403,1386,1127,1665,1747,1031,1175,1578,1568,837,832,973,1666,1745,1240,923,1705,1052,1391,1184,1796,1762,1241,1648,1325,1132,1604,1613,1798,1788,1528,1450,864,1368,1499,1180,1149,1794,1787,1237,1736,1299,1110,1089,1707,1466,1456,1473,977,997,880,1187,1443,970,998,1014,800,1036,1430,1420,1235,960,1186,956,926,1074,924,1078,162,1210,1200,1195,724,1305,1150,1791,1756,1797,1795,1753,1561,1377,1677,1570,39,1497,1105,1322,1204,722,1579,1446,851,857,165,1099,1095,769,1183,690,947,863,971,1784,1238,1408,1428,1559,1678,1569,1702,1700,1364,1013,899])).
% 55.21/55.76 cnf(6661,plain,
% 55.21/55.76 (P9(f72(a1),x66611,f8(f72(a1),x66611))),
% 55.21/55.76 inference(rename_variables,[],[4138])).
% 55.21/55.76 cnf(6664,plain,
% 55.21/55.76 (P9(f72(a1),x66641,f8(f72(a1),x66641))),
% 55.21/55.76 inference(rename_variables,[],[4138])).
% 55.21/55.76 cnf(6688,plain,
% 55.21/55.76 (~P10(a69,x66881,f54(f54(f11(a69),f9(a69,f12(a69,a78,f4(a69)),f12(a69,a78,f4(a69)))),x66882))),
% 55.21/55.76 inference(rename_variables,[],[5961])).
% 55.21/55.76 cnf(6697,plain,
% 55.21/55.76 (E(f9(a69,x66971,f3(a69)),x66971)),
% 55.21/55.76 inference(rename_variables,[],[466])).
% 55.21/55.76 cnf(6700,plain,
% 55.21/55.76 (P9(a1,x67001,x67001)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(6714,plain,
% 55.21/55.76 (P10(a1,x67141,f12(a1,f27(a69,f25(x67141)),f4(a1)))),
% 55.21/55.76 inference(rename_variables,[],[515])).
% 55.21/55.76 cnf(6719,plain,
% 55.21/55.76 (P9(a1,x67191,x67191)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(6726,plain,
% 55.21/55.76 (~P10(a69,f12(a69,x67261,x67262),x67261)),
% 55.21/55.76 inference(rename_variables,[],[601])).
% 55.21/55.76 cnf(6728,plain,
% 55.21/55.76 (~P9(a69,f14(f27(a69,f12(a69,f5(a2,a73),f25(f27(a69,f12(a69,x67281,x67282)))))),x67282)),
% 55.21/55.76 inference(scs_inference,[],[572,521,511,460,594,535,557,530,279,353,387,390,552,6407,465,466,544,601,6528,6623,564,569,447,6357,6383,6414,6424,6446,6519,6553,6556,6700,6413,448,6443,6467,6487,6628,6642,449,6592,419,497,6640,480,515,6565,6631,247,463,295,457,261,402,375,458,262,293,252,264,456,479,378,384,385,404,602,373,292,338,372,516,400,1811,259,258,345,474,253,209,392,208,371,383,251,403,207,257,320,382,250,578,291,344,314,381,287,331,286,472,249,2159,6302,3345,5999,6017,3780,5311,5972,4479,5429,3690,5051,6024,6229,5664,6508,6571,4736,6151,5415,5730,6614,5529,4843,5943,5523,4579,4640,1890,1893,5391,5215,5086,5387,5825,5116,5107,5436,5961,6641,6139,6094,6257,5550,6020,5722,5718,5739,5652,6213,6387,6107,6433,5672,5505,6390,6419,6026,6449,6174,5472,6125,3688,5592,5990,5637,5667,5462,5624,5380,3722,5354,3613,2294,2404,4282,6289,5948,5148,5460,5541,5827,5611,5894,2693,2840,2711,5030,4482,4780,3684,4173,1929,4590,2974,2638,5193,3579,5151,3533,2300,5223,3720,2264,2250,3373,2657,3237,1813,2308,2392,2394,2396,2400,1918,4004,3339,2699,4556,2386,2316,4138,6661,6664,607,1476,1562,1483,1773,1403,1386,1127,1665,1747,1031,1175,1578,1568,837,832,973,1666,1745,1240,923,1705,1052,1391,1184,1796,1762,1241,1648,1325,1132,1604,1613,1798,1788,1528,1450,864,1368,1499,1180,1149,1794,1787,1237,1736,1299,1110,1089,1707,1466,1456,1473,977,997,880,1187,1443,970,998,1014,800,1036,1430,1420,1235,960,1186,956,926,1074,924,1078,162,1210,1200,1195,724,1305,1150,1791,1756,1797,1795,1753,1561,1377,1677,1570,39,1497,1105,1322,1204,722,1579,1446,851,857,165,1099,1095,769,1183,690,947,863,971,1784,1238,1408,1428,1559,1678,1569,1702,1700,1364,1013,899,1543,1385,1174,1239,1234,1457,1004,1117,1500,1606,1199,1146,948,1557,1470,750,1352,1348,1075,1057,1427,1029,919,1363,1009,1225,1151,1409,1293,1421,932,1256])).
% 55.21/55.76 cnf(6729,plain,
% 55.21/55.76 (~P9(a69,f14(f27(a69,f12(a69,f5(a2,a73),f25(f27(a69,x67291))))),x67291)),
% 55.21/55.76 inference(rename_variables,[],[6213])).
% 55.21/55.76 cnf(6735,plain,
% 55.21/55.76 (~P10(a69,x67351,f54(f54(f11(a69),f9(a69,f12(a69,a78,f4(a69)),f12(a69,a78,f4(a69)))),x67352))),
% 55.21/55.76 inference(rename_variables,[],[5961])).
% 55.21/55.76 cnf(6738,plain,
% 55.21/55.76 (P9(a1,x67381,x67381)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(6756,plain,
% 55.21/55.76 (P9(a70,x67561,x67561)),
% 55.21/55.76 inference(rename_variables,[],[449])).
% 55.21/55.76 cnf(6759,plain,
% 55.21/55.76 (P9(a69,x67591,x67591)),
% 55.21/55.76 inference(rename_variables,[],[448])).
% 55.21/55.76 cnf(6760,plain,
% 55.21/55.76 (P9(a69,f3(a69),x67601)),
% 55.21/55.76 inference(rename_variables,[],[463])).
% 55.21/55.76 cnf(6763,plain,
% 55.21/55.76 (E(f12(a69,f54(f54(f11(a69),x67631),x67632),f12(a69,f54(f54(f11(a69),x67633),x67632),x67634)),f12(a69,f54(f54(f11(a69),f12(a69,x67631,x67633)),x67632),x67634))),
% 55.21/55.76 inference(rename_variables,[],[557])).
% 55.21/55.76 cnf(6764,plain,
% 55.21/55.76 (P9(a69,f3(a69),x67641)),
% 55.21/55.76 inference(rename_variables,[],[463])).
% 55.21/55.76 cnf(6767,plain,
% 55.21/55.76 (E(f9(a69,f9(a69,x67671,x67672),x67673),f9(a69,x67671,f12(a69,x67672,x67673)))),
% 55.21/55.76 inference(rename_variables,[],[522])).
% 55.21/55.76 cnf(6768,plain,
% 55.21/55.76 (P9(a69,x67681,x67681)),
% 55.21/55.76 inference(rename_variables,[],[448])).
% 55.21/55.76 cnf(6771,plain,
% 55.21/55.76 (E(f12(a69,x67711,f12(a69,x67712,x67713)),f12(a69,x67712,f12(a69,x67711,x67713)))),
% 55.21/55.76 inference(rename_variables,[],[518])).
% 55.21/55.76 cnf(6775,plain,
% 55.21/55.76 (~E(x67751,f10(a70,f12(a70,f4(a70),f12(a1,f54(f54(f11(a1),f9(a1,x67752,x67752)),x67753),x67751))))),
% 55.21/55.76 inference(rename_variables,[],[4629])).
% 55.21/55.76 cnf(6790,plain,
% 55.21/55.76 (~P10(a69,f12(a69,x67901,x67902),x67901)),
% 55.21/55.76 inference(rename_variables,[],[601])).
% 55.21/55.76 cnf(6795,plain,
% 55.21/55.76 (P9(a1,f12(a1,f54(f54(f11(a1),f9(a1,x67951,x67951)),x67952),x67953),x67953)),
% 55.21/55.76 inference(scs_inference,[],[584,572,521,522,511,460,546,559,232,594,576,518,535,557,6562,530,228,236,279,353,387,390,552,6407,395,465,466,544,601,6528,6623,6726,564,569,447,6357,6383,6414,6424,6446,6519,6553,6556,6700,6719,6738,6413,448,6443,6467,6487,6628,6642,6759,6768,449,6592,6645,316,406,419,497,6640,480,515,6565,6631,527,247,463,6488,6760,295,457,219,261,402,375,458,262,293,391,252,264,456,479,586,378,384,385,404,602,373,292,338,372,516,400,1811,259,258,345,474,253,209,392,208,371,383,251,403,207,257,320,382,250,578,291,344,314,381,287,331,286,472,249,2159,6302,3345,5999,6017,3780,5311,5972,4479,5429,3690,5051,2582,6024,6229,5664,6508,6571,4736,6151,5415,5730,6614,4629,5529,4843,5943,5523,4579,4640,1890,1893,5735,5391,5215,5086,6311,5387,5825,5116,5107,5436,5961,6641,6688,6139,6094,6257,5550,6020,5722,5718,5739,4545,5652,6213,6387,5409,6107,6433,5672,5505,6390,6419,6026,6449,6174,5472,6125,3688,5592,5990,5637,5667,5462,5624,5380,3722,5354,3613,2294,2358,2404,4282,6289,5948,4190,5148,5460,5541,5827,5611,5894,2693,2840,2711,5030,4482,4780,3684,4173,1929,4590,2974,2638,5193,3579,4562,5151,3533,2300,5223,3720,2264,2250,3373,2657,3237,1813,2308,2392,2394,2396,2400,1918,4004,3339,2699,4556,2386,2316,4138,6661,6664,607,1476,1562,1483,1773,1403,1386,1127,1665,1747,1031,1175,1578,1568,837,832,973,1666,1745,1240,923,1705,1052,1391,1184,1796,1762,1241,1648,1325,1132,1604,1613,1798,1788,1528,1450,864,1368,1499,1180,1149,1794,1787,1237,1736,1299,1110,1089,1707,1466,1456,1473,977,997,880,1187,1443,970,998,1014,800,1036,1430,1420,1235,960,1186,956,926,1074,924,1078,162,1210,1200,1195,724,1305,1150,1791,1756,1797,1795,1753,1561,1377,1677,1570,39,1497,1105,1322,1204,722,1579,1446,851,857,165,1099,1095,769,1183,690,947,863,971,1784,1238,1408,1428,1559,1678,1569,1702,1700,1364,1013,899,1543,1385,1174,1239,1234,1457,1004,1117,1500,1606,1199,1146,948,1557,1470,750,1352,1348,1075,1057,1427,1029,919,1363,1009,1225,1151,1409,1293,1421,932,1256,767,1012,1429,874,1439,1171,1453,1541,900,912,1197,1612,1216,1215,1764,1125,1634,902,1392,1098,691,862,1782,1765,1789])).
% 55.21/55.76 cnf(6796,plain,
% 55.21/55.76 (P9(a1,x67961,x67961)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(6800,plain,
% 55.21/55.76 (P10(a70,f9(a70,x68001,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x68001,f12(a70,f9(a70,x68002,f4(a70)),f4(a70)))),f4(a70))),f4(a70))),x68002)),
% 55.21/55.76 inference(rename_variables,[],[5967])).
% 55.21/55.76 cnf(6805,plain,
% 55.21/55.76 (~P9(a70,x68051,f12(a70,f12(a70,f54(f54(f11(a70),f9(a70,f3(a70),f4(a70))),f4(a70)),x68051),f3(a70)))),
% 55.21/55.76 inference(rename_variables,[],[6100])).
% 55.21/55.76 cnf(6810,plain,
% 55.21/55.76 (P10(a69,x68101,f12(a69,f54(f54(f11(a69),f9(a69,x68102,x68102)),x68103),f14(f12(a1,f27(a69,f12(a69,f54(f54(f11(a69),f9(a69,x68102,x68102)),x68103),x68101)),f4(a1)))))),
% 55.21/55.76 inference(rename_variables,[],[5744])).
% 55.21/55.76 cnf(6820,plain,
% 55.21/55.76 (~P9(a69,f14(f27(a69,f12(a69,f5(a2,a73),f25(f27(a69,x68201))))),x68201)),
% 55.21/55.76 inference(rename_variables,[],[6213])).
% 55.21/55.76 cnf(6823,plain,
% 55.21/55.76 (P9(a70,x68231,x68231)),
% 55.21/55.76 inference(rename_variables,[],[449])).
% 55.21/55.76 cnf(6828,plain,
% 55.21/55.76 (P9(a69,x68281,x68281)),
% 55.21/55.76 inference(rename_variables,[],[448])).
% 55.21/55.76 cnf(6838,plain,
% 55.21/55.76 (P10(a1,x68381,f12(a1,f27(a69,f25(x68381)),f4(a1)))),
% 55.21/55.76 inference(rename_variables,[],[515])).
% 55.21/55.76 cnf(6839,plain,
% 55.21/55.76 (P9(a1,x68391,x68391)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(6842,plain,
% 55.21/55.76 (P9(a1,x68421,x68421)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(6852,plain,
% 55.21/55.76 (~P10(a1,f12(a1,f8(a1,x68521),f4(a1)),x68521)),
% 55.21/55.76 inference(rename_variables,[],[603])).
% 55.21/55.76 cnf(6855,plain,
% 55.21/55.76 (~P9(a1,f12(a1,f9(a1,f54(f54(f11(a1),f26(a1,f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74))),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))),f54(f54(f11(a1),f26(a1,f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74))),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74))),x68551),x68551)),
% 55.21/55.76 inference(rename_variables,[],[5505])).
% 55.21/55.76 cnf(6904,plain,
% 55.21/55.76 (P10(a70,x69041,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x69041,f10(a70,f3(a70)))),f4(a70))),f4(a70)))),
% 55.21/55.76 inference(rename_variables,[],[6107])).
% 55.21/55.76 cnf(6907,plain,
% 55.21/55.76 (P9(a69,x69071,f12(a69,x69072,f54(f54(f11(a69),x69071),f54(f54(f11(a69),x69071),x69071))))),
% 55.21/55.76 inference(rename_variables,[],[5956])).
% 55.21/55.76 cnf(6917,plain,
% 55.21/55.76 (E(f9(a69,x69171,f3(a69)),x69171)),
% 55.21/55.76 inference(rename_variables,[],[466])).
% 55.21/55.76 cnf(6922,plain,
% 55.21/55.76 (P9(a1,f3(a1),f28(a2,x69221))),
% 55.21/55.76 inference(rename_variables,[],[3339])).
% 55.21/55.76 cnf(6927,plain,
% 55.21/55.76 (P10(a1,x69271,f12(a1,f27(a69,f25(x69271)),f4(a1)))),
% 55.21/55.76 inference(rename_variables,[],[515])).
% 55.21/55.76 cnf(6930,plain,
% 55.21/55.76 (P9(a1,x69301,x69301)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(6933,plain,
% 55.21/55.76 (~P9(a69,f14(f27(a69,f12(a69,f5(a2,a73),f25(f27(a69,x69331))))),x69331)),
% 55.21/55.76 inference(rename_variables,[],[6213])).
% 55.21/55.76 cnf(6935,plain,
% 55.21/55.76 (~P9(a1,f27(a69,f14(f27(a69,f12(a69,f5(a2,a73),f25(f27(a69,f25(x69351))))))),x69351)),
% 55.21/55.76 inference(scs_inference,[],[584,572,575,521,522,511,460,546,559,232,594,576,518,535,557,6562,530,228,236,256,279,296,353,387,390,552,6407,395,465,466,6697,544,601,6528,6623,6726,6790,564,569,447,6357,6383,6414,6424,6446,6519,6553,6556,6700,6719,6738,6796,6839,6842,6413,448,6443,6467,6487,6628,6642,6759,6768,6828,449,6592,6645,6756,6823,316,406,419,497,6640,480,515,6565,6631,6714,6838,527,247,463,6488,6760,603,6852,295,457,219,261,402,375,458,262,293,391,252,264,456,401,479,586,378,384,385,404,602,373,292,338,372,516,400,1811,259,258,345,474,253,209,392,208,371,383,251,403,207,257,320,382,250,578,291,344,314,381,287,331,286,472,249,5626,2159,6302,3345,2146,5999,6017,3780,5311,5972,4479,5817,5429,3690,5051,2581,2582,6024,6229,5664,6508,6571,4736,6151,5415,5730,6614,4629,5930,5529,4843,5943,4160,5523,4579,4640,1890,1893,5735,5391,5215,5086,6311,5387,5825,5116,5107,5436,5961,6641,6688,6139,6029,6094,6257,5550,6020,5722,5718,5739,4545,5652,6213,6387,6729,6820,6933,5409,5956,5887,6107,6433,6452,5672,5505,6390,6419,5967,6800,6026,6449,5744,5675,6174,5472,6125,3688,5592,5990,5993,6100,6805,5637,5667,5462,5624,5380,3722,5354,3613,2294,2358,2404,4282,6289,5948,4190,5148,5460,5541,5827,2010,5611,5974,6070,6096,5894,2693,2840,2711,5030,4482,4780,3684,4173,1929,4590,2669,2974,3531,2638,5193,3579,4562,5151,3533,2300,5223,3720,2264,2250,3373,2657,3237,1813,4976,2308,2392,2394,2396,2400,1918,4004,3339,6412,2699,4556,2386,2316,4138,6661,6664,607,1476,1562,1483,1773,1403,1386,1127,1665,1747,1031,1175,1578,1568,837,832,973,1666,1745,1240,923,1705,1052,1391,1184,1796,1762,1241,1648,1325,1132,1604,1613,1798,1788,1528,1450,864,1368,1499,1180,1149,1794,1787,1237,1736,1299,1110,1089,1707,1466,1456,1473,977,997,880,1187,1443,970,998,1014,800,1036,1430,1420,1235,960,1186,956,926,1074,924,1078,162,1210,1200,1195,724,1305,1150,1791,1756,1797,1795,1753,1561,1377,1677,1570,39,1497,1105,1322,1204,722,1579,1446,851,857,165,1099,1095,769,1183,690,947,863,971,1784,1238,1408,1428,1559,1678,1569,1702,1700,1364,1013,899,1543,1385,1174,1239,1234,1457,1004,1117,1500,1606,1199,1146,948,1557,1470,750,1352,1348,1075,1057,1427,1029,919,1363,1009,1225,1151,1409,1293,1421,932,1256,767,1012,1429,874,1439,1171,1453,1541,900,912,1197,1612,1216,1215,1764,1125,1634,902,1392,1098,691,862,1782,1765,1789,1375,852,1023,1061,1597,1360,1161,1390,1498,1202,934,1792,1558,1684,1650,1664,1701,744,1277,1519,1431,1326,959,801,1384,1295,1687,1481,976,741,1254,983,1066,1520,1444,1566,925,1022,1365,1351,1252,1094,1445,1401,1709,1783,1683,873,1418,917,966,1292,1139,1426,1580,1258,1088])).
% 55.21/55.76 cnf(6939,plain,
% 55.21/55.76 (P10(a1,x69391,f12(a1,f27(a69,f25(x69391)),f4(a1)))),
% 55.21/55.76 inference(rename_variables,[],[515])).
% 55.21/55.76 cnf(6944,plain,
% 55.21/55.76 (P9(a1,x69441,x69441)),
% 55.21/55.76 inference(rename_variables,[],[447])).
% 55.21/55.76 cnf(6970,plain,
% 55.21/55.76 (E(f12(a70,x69701,f3(a70)),x69701)),
% 55.21/55.76 inference(rename_variables,[],[465])).
% 55.21/55.76 cnf(6978,plain,
% 55.21/55.76 (P10(a1,x69781,f12(a1,f27(a69,f25(x69781)),f4(a1)))),
% 55.21/55.76 inference(rename_variables,[],[515])).
% 55.21/55.76 cnf(6982,plain,
% 55.21/55.76 (P10(a1,x69821,f12(a1,f27(a69,f25(x69821)),f4(a1)))),
% 55.21/55.76 inference(rename_variables,[],[515])).
% 55.21/55.76 cnf(6986,plain,
% 55.21/55.76 (~E(f12(a1,x69861,f10(a70,f12(a69,f10(a70,f12(a70,f4(a70),f9(a69,f10(a70,f10(a1,x69861)),f10(a70,f10(a1,x69861))))),f10(a70,f10(a1,x69861))))),f3(a1))),
% 55.21/55.76 inference(scs_inference,[],[584,572,575,487,521,522,6767,511,460,483,546,559,232,354,594,576,518,535,557,6562,530,228,236,256,279,296,353,387,390,552,6407,6543,395,465,466,6697,544,601,6528,6623,6726,6790,564,569,447,6357,6383,6414,6424,6446,6519,6553,6556,6700,6719,6738,6796,6839,6842,6930,6413,448,6443,6467,6487,6628,6642,6759,6768,6828,449,6592,6645,6756,6823,316,406,419,497,6640,480,515,6565,6631,6714,6838,6927,6939,6978,527,247,463,6488,6760,603,6852,295,457,219,261,402,375,458,262,293,391,252,264,456,260,401,479,586,378,384,385,404,602,373,292,338,372,516,400,1811,259,258,345,474,253,209,392,208,371,383,251,403,207,257,320,382,250,578,291,344,314,381,287,331,286,472,249,5626,5795,2159,6302,3345,2146,5999,6017,3780,5311,5972,4479,5817,5429,3690,5051,2581,2582,6024,6229,5664,6508,6571,4736,6151,5415,5730,6614,4651,4629,6775,5930,5529,4843,5943,4160,5523,4579,4640,1890,1893,5735,5391,5215,5086,6311,5387,5825,5116,5251,5107,5436,5961,6641,6688,6139,6029,6094,6257,5550,6020,5722,5718,5739,4545,5652,6213,6387,6729,6820,6933,5409,5956,5887,6107,6433,6452,5672,5505,6390,6419,5967,6800,6026,6449,5744,5675,6174,5472,6125,3688,5592,5990,5993,6100,6805,5637,5667,5462,5624,5380,3722,5354,3613,2294,2358,2404,4282,6289,5948,4190,5148,5460,5541,5827,2010,5611,5974,6070,6096,5894,2693,2840,2711,5030,4482,4780,3684,4173,1929,4402,4590,2669,2974,3531,2638,5193,3579,4562,5151,3533,2300,2356,2671,5223,3720,2264,2250,3373,2657,3237,1813,4976,2308,2392,2394,2396,2400,1918,4004,3339,6412,6922,2699,4556,2386,2316,4138,6661,6664,607,1476,1562,1483,1773,1403,1386,1127,1665,1747,1031,1175,1578,1568,837,832,973,1666,1745,1240,923,1705,1052,1391,1184,1796,1762,1241,1648,1325,1132,1604,1613,1798,1788,1528,1450,864,1368,1499,1180,1149,1794,1787,1237,1736,1299,1110,1089,1707,1466,1456,1473,977,997,880,1187,1443,970,998,1014,800,1036,1430,1420,1235,960,1186,956,926,1074,924,1078,162,1210,1200,1195,724,1305,1150,1791,1756,1797,1795,1753,1561,1377,1677,1570,39,1497,1105,1322,1204,722,1579,1446,851,857,165,1099,1095,769,1183,690,947,863,971,1784,1238,1408,1428,1559,1678,1569,1702,1700,1364,1013,899,1543,1385,1174,1239,1234,1457,1004,1117,1500,1606,1199,1146,948,1557,1470,750,1352,1348,1075,1057,1427,1029,919,1363,1009,1225,1151,1409,1293,1421,932,1256,767,1012,1429,874,1439,1171,1453,1541,900,912,1197,1612,1216,1215,1764,1125,1634,902,1392,1098,691,862,1782,1765,1789,1375,852,1023,1061,1597,1360,1161,1390,1498,1202,934,1792,1558,1684,1650,1664,1701,744,1277,1519,1431,1326,959,801,1384,1295,1687,1481,976,741,1254,983,1066,1520,1444,1566,925,1022,1365,1351,1252,1094,1445,1401,1709,1783,1683,873,1418,917,966,1292,1139,1426,1580,1258,1088,1379,1704,1438,1027,1442,1417,1093,1103,1440,1449,1610,1567,7,152,151,118,1763,1754,1233,1732,1246,913])).
% 55.21/55.76 cnf(6987,plain,
% 55.21/55.76 (~E(f10(a70,f12(a69,f10(a70,f12(a70,f4(a70),f9(a69,f10(a70,x69871),f10(a70,x69871)))),f10(a70,x69871))),x69871)),
% 55.21/55.76 inference(rename_variables,[],[5730])).
% 55.21/55.76 cnf(6993,plain,
% 55.21/55.76 (P10(a70,x69931,f12(a70,x69932,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,f8(a70,f9(a70,x69931,x69932)),f10(a70,f3(a70)))),f4(a70))),f4(a70))))),
% 55.21/55.76 inference(scs_inference,[],[584,572,575,487,521,522,6767,511,460,483,546,559,232,354,594,576,518,535,557,6562,530,228,236,256,279,296,353,387,390,552,6407,6543,395,465,466,6697,544,601,6528,6623,6726,6790,564,569,447,6357,6383,6414,6424,6446,6519,6553,6556,6700,6719,6738,6796,6839,6842,6930,6413,448,6443,6467,6487,6628,6642,6759,6768,6828,449,6592,6645,6756,6823,316,406,419,497,6640,480,515,6565,6631,6714,6838,6927,6939,6978,527,247,463,6488,6760,603,6852,295,457,219,261,402,375,458,262,293,391,252,264,456,260,401,479,586,378,384,385,404,602,373,292,338,372,516,400,1811,259,258,345,474,253,209,392,208,371,383,251,403,207,257,320,382,250,578,291,344,314,381,287,331,286,472,249,5626,5795,2159,6302,3345,2146,5999,6017,3780,5311,5972,4479,5817,5429,3690,5051,2581,2582,6024,6229,5664,6508,6571,4736,6151,5415,5730,6614,4651,4629,6775,5930,5529,4843,5943,4160,5523,4579,4640,1890,1893,5735,5391,5215,5086,6311,5387,5825,5116,5251,5107,5436,5961,6641,6688,6139,6029,6094,6257,5550,6020,5722,5718,3846,5739,4545,5652,6213,6387,6729,6820,6933,5409,5956,5887,6107,6433,6452,6904,5672,5505,6390,6419,5967,6800,6026,6449,5744,5675,6174,5472,6125,3688,5592,5990,5993,6100,6805,5637,5667,5462,5624,5380,3722,5354,3613,2294,2358,2404,4282,6289,5948,4190,5148,5460,5541,5827,2010,5611,5974,6070,6096,5894,2693,2840,2711,5030,4482,4780,3684,4173,1929,4402,4590,2669,2974,3531,2638,5193,3579,4562,5151,3533,2300,2356,2671,5223,3720,2264,2250,3373,2657,3237,1813,4976,2308,2392,2394,2396,2400,1918,4004,3339,6412,6922,2699,4556,2386,2316,4138,6661,6664,607,1476,1562,1483,1773,1403,1386,1127,1665,1747,1031,1175,1578,1568,837,832,973,1666,1745,1240,923,1705,1052,1391,1184,1796,1762,1241,1648,1325,1132,1604,1613,1798,1788,1528,1450,864,1368,1499,1180,1149,1794,1787,1237,1736,1299,1110,1089,1707,1466,1456,1473,977,997,880,1187,1443,970,998,1014,800,1036,1430,1420,1235,960,1186,956,926,1074,924,1078,162,1210,1200,1195,724,1305,1150,1791,1756,1797,1795,1753,1561,1377,1677,1570,39,1497,1105,1322,1204,722,1579,1446,851,857,165,1099,1095,769,1183,690,947,863,971,1784,1238,1408,1428,1559,1678,1569,1702,1700,1364,1013,899,1543,1385,1174,1239,1234,1457,1004,1117,1500,1606,1199,1146,948,1557,1470,750,1352,1348,1075,1057,1427,1029,919,1363,1009,1225,1151,1409,1293,1421,932,1256,767,1012,1429,874,1439,1171,1453,1541,900,912,1197,1612,1216,1215,1764,1125,1634,902,1392,1098,691,862,1782,1765,1789,1375,852,1023,1061,1597,1360,1161,1390,1498,1202,934,1792,1558,1684,1650,1664,1701,744,1277,1519,1431,1326,959,801,1384,1295,1687,1481,976,741,1254,983,1066,1520,1444,1566,925,1022,1365,1351,1252,1094,1445,1401,1709,1783,1683,873,1418,917,966,1292,1139,1426,1580,1258,1088,1379,1704,1438,1027,1442,1417,1093,1103,1440,1449,1610,1567,7,152,151,118,1763,1754,1233,1732,1246,913,819,1224,1708])).
% 55.21/55.76 cnf(6994,plain,
% 55.21/55.76 (P10(a70,x69941,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x69941,f10(a70,f3(a70)))),f4(a70))),f4(a70)))),
% 55.21/55.76 inference(rename_variables,[],[6107])).
% 55.21/55.76 cnf(7012,plain,
% 55.21/55.76 (~P10(a1,f12(a1,f8(a1,x70121),f4(a1)),x70121)),
% 55.21/55.76 inference(rename_variables,[],[603])).
% 55.21/55.76 cnf(7025,plain,
% 55.21/55.76 (P9(a70,x70251,x70251)),
% 55.21/55.76 inference(rename_variables,[],[449])).
% 55.21/55.76 cnf(7086,plain,
% 55.21/55.76 (~E(f10(a70,f12(a69,f10(a70,f12(a70,f4(a70),f9(a69,f10(a70,x70861),f10(a70,x70861)))),f10(a70,x70861))),x70861)),
% 55.21/55.76 inference(rename_variables,[],[5730])).
% 55.21/55.76 cnf(7090,plain,
% 55.21/55.76 (~P10(a69,f12(a69,x70901,x70902),x70901)),
% 55.21/55.76 inference(rename_variables,[],[601])).
% 55.21/55.76 cnf(7093,plain,
% 55.21/55.76 (~E(f10(a70,f12(a69,f10(a70,f12(a70,f4(a70),f9(a69,f10(a70,x70931),f10(a70,x70931)))),f10(a70,x70931))),x70931)),
% 55.21/55.76 inference(rename_variables,[],[5730])).
% 55.21/55.76 cnf(7133,plain,
% 55.21/55.76 (E(f54(f54(f11(a69),x71331),x71332),f54(f54(f11(a69),f9(a69,f12(a69,f3(a69),x71331),f3(a69))),x71332))),
% 55.21/55.76 inference(scs_inference,[],[246,422,584,572,575,439,487,521,522,6767,511,460,483,546,559,232,354,598,594,576,500,518,6771,535,557,6562,6763,530,228,236,256,279,296,351,353,387,390,552,6407,6543,529,395,465,6970,466,6697,6917,544,601,6528,6623,6726,6790,564,569,447,6357,6383,6414,6424,6446,6519,6553,6556,6700,6719,6738,6796,6839,6842,6930,6944,6413,448,6443,6467,6487,6628,6642,6759,6768,6828,449,6592,6645,6756,6823,7025,316,406,419,497,6640,480,515,6565,6631,6714,6838,6927,6939,6978,6982,527,247,379,463,6488,6760,6764,603,6852,7012,295,457,219,254,261,402,375,458,262,293,391,252,264,456,260,302,401,479,586,378,384,385,404,602,373,478,292,338,372,516,400,1811,259,370,258,345,474,253,209,392,208,371,383,251,403,588,207,257,320,382,250,578,291,344,314,381,287,331,286,472,249,5626,5795,2159,6302,3345,2146,4040,5999,6017,3780,5311,5972,4479,5817,5429,3690,5051,2581,2582,6247,6024,6229,5664,6508,6571,4736,5259,6245,6151,5415,5730,6614,6987,7086,7093,4651,4629,6775,5930,5529,4843,5943,4160,5523,4579,4640,5753,1890,1893,5735,5391,5215,5086,6311,5387,5825,5116,5251,5107,5436,5961,6641,6688,6735,6139,6029,6094,6257,5550,6020,5722,5718,3846,5739,4545,5652,6213,6387,6729,6820,6933,5409,5956,6907,5887,6107,6433,6452,6904,6994,5672,5505,6390,6419,6855,5967,6800,6026,6449,6568,5744,6810,5675,6174,5953,5747,5472,6125,3688,5592,6243,5990,5993,6100,6805,5637,5667,6481,5462,5624,5380,3722,5354,3613,2294,2358,2384,2404,4282,6289,5948,4190,5148,5460,5541,5827,2010,5611,5974,6070,6096,5894,2693,2840,3443,2711,5257,5030,5255,4482,4780,3684,4173,1929,4402,4590,2669,2974,3531,2638,5193,3579,4562,5151,3533,4861,4495,4833,2300,2356,2671,5138,5223,3720,2264,2250,3373,2657,3237,1813,4976,2308,2392,2394,2396,2400,1918,4004,3339,6412,6922,2699,4556,2386,2316,4138,6661,6664,607,1476,1562,1483,1773,1403,1386,1127,1665,1747,1031,1175,1578,1568,837,832,973,1666,1745,1240,923,1705,1052,1391,1184,1796,1762,1241,1648,1325,1132,1604,1613,1798,1788,1528,1450,864,1368,1499,1180,1149,1794,1787,1237,1736,1299,1110,1089,1707,1466,1456,1473,977,997,880,1187,1443,970,998,1014,800,1036,1430,1420,1235,960,1186,956,926,1074,924,1078,162,1210,1200,1195,724,1305,1150,1791,1756,1797,1795,1753,1561,1377,1677,1570,39,1497,1105,1322,1204,722,1579,1446,851,857,165,1099,1095,769,1183,690,947,863,971,1784,1238,1408,1428,1559,1678,1569,1702,1700,1364,1013,899,1543,1385,1174,1239,1234,1457,1004,1117,1500,1606,1199,1146,948,1557,1470,750,1352,1348,1075,1057,1427,1029,919,1363,1009,1225,1151,1409,1293,1421,932,1256,767,1012,1429,874,1439,1171,1453,1541,900,912,1197,1612,1216,1215,1764,1125,1634,902,1392,1098,691,862,1782,1765,1789,1375,852,1023,1061,1597,1360,1161,1390,1498,1202,934,1792,1558,1684,1650,1664,1701,744,1277,1519,1431,1326,959,801,1384,1295,1687,1481,976,741,1254,983,1066,1520,1444,1566,925,1022,1365,1351,1252,1094,1445,1401,1709,1783,1683,873,1418,917,966,1292,1139,1426,1580,1258,1088,1379,1704,1438,1027,1442,1417,1093,1103,1440,1449,1610,1567,7,152,151,118,1763,1754,1233,1732,1246,913,819,1224,1708,1755,1786,163,1465,1172,717,1236,1674,1680,846,1308,1542,730,787,946,1785,1560,992,1259,1067,1130,1311,1086,1651,927,954,1441,1358,1679,1472,1598,1102,1073,1608,2,40,115,28,120,181,114,3,119,116,8,173,147,127,1729,1070,1211,1079,1590,1359,1247,1424,1419,1393,1156,700,1030,692,1068])).
% 55.21/55.76 cnf(7135,plain,
% 55.21/55.76 (~P9(a69,f25(f12(a1,f8(a1,f27(a69,f12(a69,x71351,f4(a69)))),f4(a1))),x71351)),
% 55.21/55.76 inference(scs_inference,[],[246,422,584,572,575,439,487,521,522,6767,511,460,483,546,559,232,354,598,594,576,500,518,6771,535,557,6562,6763,530,228,236,256,279,296,351,353,387,390,552,6407,6543,529,395,465,6970,466,6697,6917,544,601,6528,6623,6726,6790,564,569,447,6357,6383,6414,6424,6446,6519,6553,6556,6700,6719,6738,6796,6839,6842,6930,6944,6413,448,6443,6467,6487,6628,6642,6759,6768,6828,449,6592,6645,6756,6823,7025,316,406,419,497,6640,480,515,6565,6631,6714,6838,6927,6939,6978,6982,527,247,379,463,6488,6760,6764,603,6852,7012,295,457,219,254,261,402,375,458,262,293,391,252,264,456,260,302,401,479,586,378,384,385,404,602,373,478,292,338,372,516,400,1811,259,370,258,345,474,253,209,392,208,371,383,251,403,588,207,257,320,382,250,578,291,344,314,381,287,331,286,472,249,5626,5795,2159,6302,3345,2146,4040,5999,6017,3780,5311,5972,4479,5817,5429,3690,5051,2581,2582,6247,6024,6229,5664,6508,6571,4736,5259,6245,6151,5415,5730,6614,6987,7086,7093,4651,4629,6775,5930,5529,4843,5943,4160,5523,4579,4640,5753,1890,1893,5735,5391,5215,5086,6311,5387,5825,5116,5251,5107,5436,5961,6641,6688,6735,6139,6029,6094,6257,5550,6020,5722,5718,3846,5739,4545,5652,6213,6387,6729,6820,6933,5409,5956,6907,5887,6107,6433,6452,6904,6994,5672,5505,6390,6419,6855,5967,6800,6026,6449,6568,5744,6810,5675,6174,5953,5747,5472,6125,3688,5592,6243,5990,5993,6100,6805,5637,5667,6481,5462,5624,5380,3722,5354,3613,2294,2358,2384,2404,4282,6289,5948,4190,5148,5460,5541,5827,2010,5611,5974,6070,6096,5894,2693,2840,3443,2711,5257,5030,5255,4482,4780,3684,4173,1929,4402,4590,2669,2974,3531,2638,5193,3579,4562,5151,3533,4861,4495,4833,2300,2356,2671,5138,5223,3720,2264,2250,3373,2657,3237,1813,4976,2308,2392,2394,2396,2400,1918,4004,3339,6412,6922,2699,4556,2386,2316,4138,6661,6664,607,1476,1562,1483,1773,1403,1386,1127,1665,1747,1031,1175,1578,1568,837,832,973,1666,1745,1240,923,1705,1052,1391,1184,1796,1762,1241,1648,1325,1132,1604,1613,1798,1788,1528,1450,864,1368,1499,1180,1149,1794,1787,1237,1736,1299,1110,1089,1707,1466,1456,1473,977,997,880,1187,1443,970,998,1014,800,1036,1430,1420,1235,960,1186,956,926,1074,924,1078,162,1210,1200,1195,724,1305,1150,1791,1756,1797,1795,1753,1561,1377,1677,1570,39,1497,1105,1322,1204,722,1579,1446,851,857,165,1099,1095,769,1183,690,947,863,971,1784,1238,1408,1428,1559,1678,1569,1702,1700,1364,1013,899,1543,1385,1174,1239,1234,1457,1004,1117,1500,1606,1199,1146,948,1557,1470,750,1352,1348,1075,1057,1427,1029,919,1363,1009,1225,1151,1409,1293,1421,932,1256,767,1012,1429,874,1439,1171,1453,1541,900,912,1197,1612,1216,1215,1764,1125,1634,902,1392,1098,691,862,1782,1765,1789,1375,852,1023,1061,1597,1360,1161,1390,1498,1202,934,1792,1558,1684,1650,1664,1701,744,1277,1519,1431,1326,959,801,1384,1295,1687,1481,976,741,1254,983,1066,1520,1444,1566,925,1022,1365,1351,1252,1094,1445,1401,1709,1783,1683,873,1418,917,966,1292,1139,1426,1580,1258,1088,1379,1704,1438,1027,1442,1417,1093,1103,1440,1449,1610,1567,7,152,151,118,1763,1754,1233,1732,1246,913,819,1224,1708,1755,1786,163,1465,1172,717,1236,1674,1680,846,1308,1542,730,787,946,1785,1560,992,1259,1067,1130,1311,1086,1651,927,954,1441,1358,1679,1472,1598,1102,1073,1608,2,40,115,28,120,181,114,3,119,116,8,173,147,127,1729,1070,1211,1079,1590,1359,1247,1424,1419,1393,1156,700,1030,692,1068,1422])).
% 55.21/55.76 cnf(7162,plain,
% 55.21/55.76 (~P9(a1,f3(a1),f10(a1,f4(a1)))),
% 55.21/55.76 inference(scs_inference,[],[246,422,584,572,575,439,487,521,522,6767,511,460,483,546,559,232,354,598,594,576,500,518,6771,535,557,6562,6763,530,228,236,256,279,281,296,351,353,387,390,552,6407,6543,529,395,465,6970,466,6697,6917,544,601,6528,6623,6726,6790,7090,564,569,447,6357,6383,6414,6424,6446,6519,6553,6556,6700,6719,6738,6796,6839,6842,6930,6944,6413,448,6443,6467,6487,6628,6642,6759,6768,6828,449,6592,6645,6756,6823,7025,316,406,419,497,6640,480,515,6565,6631,6714,6838,6927,6939,6978,6982,527,247,379,463,6488,6760,6764,603,6852,7012,295,442,457,219,254,261,402,375,458,262,293,391,252,264,456,260,302,401,479,586,378,384,385,404,602,373,478,292,338,372,516,400,1811,259,370,258,345,474,253,209,392,208,371,383,251,403,588,207,257,320,382,250,578,291,344,314,381,287,331,585,286,472,249,5626,5795,2159,6302,3345,2146,4040,5999,6017,3780,5311,5972,4479,5817,5429,3690,5051,2581,2582,6247,6024,6229,5664,6508,6571,4736,5259,6245,6151,5415,5730,6614,6987,7086,7093,4651,4629,6775,5930,5529,4843,5943,4160,5523,4579,4640,5753,1890,1893,5735,5391,5215,5086,6311,5387,5825,5116,5251,5107,5436,5961,6641,6688,6735,6139,6029,6094,6257,5550,6020,5722,5718,6430,3846,5739,4545,5652,6213,6387,6729,6820,6933,5409,5956,6907,5887,6107,6433,6452,6904,6994,5672,5505,6390,6419,6855,5967,6800,6026,6449,6568,5744,6810,5675,6174,5953,5747,5472,6125,3688,5592,6243,5990,5993,6100,6805,5637,5667,6481,5462,5624,5380,3722,3636,5354,3613,2294,2358,2384,2404,4282,6289,5948,4190,5148,5460,5541,5827,2010,5611,5974,6070,6096,5894,2693,2840,3443,2711,5257,5030,5255,2860,4482,4780,3684,4173,1929,4402,4590,2669,2974,3531,2638,5193,3579,4562,5151,3533,4861,4495,4833,2300,2356,2671,5138,5223,3720,2264,2250,3373,4618,2657,3237,1813,4976,2308,2392,2394,2396,2400,1918,4004,4008,3339,6412,6922,2699,4556,2386,2316,4138,6661,6664,607,1476,1562,1483,1773,1403,1386,1127,1665,1747,1031,1175,1578,1568,837,832,973,1666,1745,1240,923,1705,1052,1391,1184,1796,1762,1241,1648,1325,1132,1604,1613,1798,1788,1528,1450,864,1368,1499,1180,1149,1794,1787,1237,1736,1299,1110,1089,1707,1466,1456,1473,977,997,880,1187,1443,970,998,1014,800,1036,1430,1420,1235,960,1186,956,926,1074,924,1078,162,1210,1200,1195,724,1305,1150,1791,1756,1797,1795,1753,1561,1377,1677,1570,39,1497,1105,1322,1204,722,1579,1446,851,857,165,1099,1095,769,1183,690,947,863,971,1784,1238,1408,1428,1559,1678,1569,1702,1700,1364,1013,899,1543,1385,1174,1239,1234,1457,1004,1117,1500,1606,1199,1146,948,1557,1470,750,1352,1348,1075,1057,1427,1029,919,1363,1009,1225,1151,1409,1293,1421,932,1256,767,1012,1429,874,1439,1171,1453,1541,900,912,1197,1612,1216,1215,1764,1125,1634,902,1392,1098,691,862,1782,1765,1789,1375,852,1023,1061,1597,1360,1161,1390,1498,1202,934,1792,1558,1684,1650,1664,1701,744,1277,1519,1431,1326,959,801,1384,1295,1687,1481,976,741,1254,983,1066,1520,1444,1566,925,1022,1365,1351,1252,1094,1445,1401,1709,1783,1683,873,1418,917,966,1292,1139,1426,1580,1258,1088,1379,1704,1438,1027,1442,1417,1093,1103,1440,1449,1610,1567,7,152,151,118,1763,1754,1233,1732,1246,913,819,1224,1708,1755,1786,163,1465,1172,717,1236,1674,1680,846,1308,1542,730,787,946,1785,1560,992,1259,1067,1130,1311,1086,1651,927,954,1441,1358,1679,1472,1598,1102,1073,1608,2,40,115,28,120,181,114,3,119,116,8,173,147,127,1729,1070,1211,1079,1590,1359,1247,1424,1419,1393,1156,700,1030,692,1068,1422,715,776,888,802,1163,1758,803,933,1133,1681,915,1038,1345])).
% 55.21/55.76 cnf(7167,plain,
% 55.21/55.76 (~P9(a1,f10(a1,f54(f54(f21(a1),f28(a2,a83)),a78)),f54(f54(f21(a1),f28(a2,a83)),a78))),
% 55.21/55.76 inference(scs_inference,[],[246,422,584,572,575,439,487,521,522,6767,511,460,483,546,559,232,354,598,594,576,500,518,6771,535,557,6562,6763,530,228,236,256,279,281,296,351,353,387,390,552,6407,6543,529,395,465,6970,466,6697,6917,544,601,6528,6623,6726,6790,7090,564,569,447,6357,6383,6414,6424,6446,6519,6553,6556,6700,6719,6738,6796,6839,6842,6930,6944,6413,448,6443,6467,6487,6628,6642,6759,6768,6828,449,6592,6645,6756,6823,7025,316,406,419,497,6640,480,515,6565,6631,6714,6838,6927,6939,6978,6982,527,247,379,463,6488,6760,6764,603,6852,7012,295,442,457,219,254,261,402,375,458,262,293,391,252,264,456,260,302,401,479,586,378,384,385,404,602,373,478,341,292,338,372,516,400,1811,259,370,258,345,474,253,209,392,208,371,383,251,403,588,207,257,320,382,250,578,291,344,314,381,287,331,585,286,472,249,5626,5795,2159,6302,3345,2146,4040,5999,6017,3780,5311,5972,4479,5817,5429,3690,5051,2581,2582,6247,6024,6229,5664,6508,6571,4736,5259,6245,6151,5415,5730,6614,6987,7086,7093,4651,4629,6775,5930,5529,4843,5943,4160,5523,4579,4640,5753,1890,1893,5735,5391,5215,5086,6311,5387,5825,5116,5251,5107,5436,5961,6641,6688,6735,6139,6029,6094,6257,5550,6020,5722,5718,6430,3846,5739,4545,5652,6213,6387,6729,6820,6933,5409,5956,6907,5887,6107,6433,6452,6904,6994,5672,5505,6390,6419,6855,5967,6800,6026,6449,6568,5744,6810,5675,6174,5953,5747,5472,6125,3688,4199,5592,6243,5990,5993,6100,6805,5637,5667,6481,5462,5624,5380,3722,3636,5354,3613,2294,2358,2384,2404,4282,6289,5948,4190,5148,5460,5541,5827,2010,5611,5974,6070,6096,5894,2693,2840,3443,2711,5257,5030,5255,2860,4482,4780,3684,4173,1929,4402,4590,2669,2974,3531,2638,5193,3579,4562,5151,3533,4861,4495,4833,2300,2356,2671,5138,5223,3720,2264,2250,3373,4618,2657,3237,1813,4976,2308,2392,2394,2396,2400,1918,4004,4008,3339,6412,6922,2699,4556,2386,2316,4138,6661,6664,607,1476,1562,1483,1773,1403,1386,1127,1665,1747,1031,1175,1578,1568,837,832,973,1666,1745,1240,923,1705,1052,1391,1184,1796,1762,1241,1648,1325,1132,1604,1613,1798,1788,1528,1450,864,1368,1499,1180,1149,1794,1787,1237,1736,1299,1110,1089,1707,1466,1456,1473,977,997,880,1187,1443,970,998,1014,800,1036,1430,1420,1235,960,1186,956,926,1074,924,1078,162,1210,1200,1195,724,1305,1150,1791,1756,1797,1795,1753,1561,1377,1677,1570,39,1497,1105,1322,1204,722,1579,1446,851,857,165,1099,1095,769,1183,690,947,863,971,1784,1238,1408,1428,1559,1678,1569,1702,1700,1364,1013,899,1543,1385,1174,1239,1234,1457,1004,1117,1500,1606,1199,1146,948,1557,1470,750,1352,1348,1075,1057,1427,1029,919,1363,1009,1225,1151,1409,1293,1421,932,1256,767,1012,1429,874,1439,1171,1453,1541,900,912,1197,1612,1216,1215,1764,1125,1634,902,1392,1098,691,862,1782,1765,1789,1375,852,1023,1061,1597,1360,1161,1390,1498,1202,934,1792,1558,1684,1650,1664,1701,744,1277,1519,1431,1326,959,801,1384,1295,1687,1481,976,741,1254,983,1066,1520,1444,1566,925,1022,1365,1351,1252,1094,1445,1401,1709,1783,1683,873,1418,917,966,1292,1139,1426,1580,1258,1088,1379,1704,1438,1027,1442,1417,1093,1103,1440,1449,1610,1567,7,152,151,118,1763,1754,1233,1732,1246,913,819,1224,1708,1755,1786,163,1465,1172,717,1236,1674,1680,846,1308,1542,730,787,946,1785,1560,992,1259,1067,1130,1311,1086,1651,927,954,1441,1358,1679,1472,1598,1102,1073,1608,2,40,115,28,120,181,114,3,119,116,8,173,147,127,1729,1070,1211,1079,1590,1359,1247,1424,1419,1393,1156,700,1030,692,1068,1422,715,776,888,802,1163,1758,803,933,1133,1681,915,1038,1345,1134,1159])).
% 55.21/55.76 cnf(7260,plain,
% 55.21/55.76 (P9(a69,x72601,f54(f54(f11(a69),x72601),x72601))),
% 55.21/55.76 inference(rename_variables,[],[493])).
% 55.21/55.76 cnf(7286,plain,
% 55.21/55.76 (~P9(a69,f14(f27(a69,f12(a69,f5(a2,a73),f25(f27(a69,f12(a69,x72861,x72862)))))),x72862)),
% 55.21/55.76 inference(rename_variables,[],[6728])).
% 55.21/55.76 cnf(7287,plain,
% 55.21/55.76 (P9(a69,x72871,f54(f54(f11(a69),x72871),x72871))),
% 55.21/55.76 inference(rename_variables,[],[493])).
% 55.21/55.76 cnf(7297,plain,
% 55.21/55.76 (P9(a69,x72971,f54(f54(f11(a69),x72971),x72971))),
% 55.21/55.76 inference(rename_variables,[],[493])).
% 55.21/55.76 cnf(7318,plain,
% 55.21/55.76 ($false),
% 55.21/55.76 inference(scs_inference,[],[582,461,543,553,1813,282,388,493,7260,7287,7297,449,515,527,496,303,463,600,374,393,261,402,458,572,384,602,404,292,258,370,208,563,371,403,251,207,455,286,249,2202,5712,3221,7133,6652,3700,6525,6570,6472,3861,6986,6037,4439,6728,7286,7135,6469,6795,5958,6993,7167,6442,6437,6935,6607,5490,6402,7162,3834,6263,6611,6081,6580,5162,5156,2597,2133,5221,5667,3654,1929,5972,2392,2394,2396,2400,3339,2360,1596,1209,1562,982,1032,1483,1403,1031,837,969,1359,1419,1460,1666,692,700,1068,1240,1745,776,1391,1796,1762,1604,1528,1211,1794,1787,1368,1325,1247,1736,1578,880,1187,1424,1430,1089,1393,802,1707,800,1036,1186,977,956,1422,1078,724,1305]),
% 55.21/55.76 ['proof']).
% 55.21/55.77 % SZS output end Proof
% 55.21/55.77 % Total time :53.720000s
%------------------------------------------------------------------------------